GSI2017

Presentation videos are on line !

As for GSI’13 and GSI’15, the objective of this SEE Conference GSI’17, hosted in Paris, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.
It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine & Deep Learning, Artificial Intelligence, Speech/sound recognition, natural language treatment, Big Data Analytics, etc., which are also substantially relevant for industry.
The Conference will be therefore held in areas of priority/focused themes and topics of mutual interest with the aim to:
  • Provide an overview on the most recent state-of-the-art
  • Exchange mathematical information/knowledge/expertise in the area
  • Identify research areas/applications for future collaboration
  • Identify academic & industry labs expertise for further collaboration
This conference will be an interdisciplinary event and will unify skills from Geometry, Probability and Information Theory. The conference proceedings are published in Springer's Lecture Note in Computer Science (LNCS) series.
Provisional Topics of Special Sessions:
  • Statistics on non-linear data
  • Shape Space
  • Optimal Transport & Applications I (Data Science and Economics)
  • Optimal Transport & Applications II (Signal and Image Processing)
  • Topology and statistical learning
  • Statistical Manifold & Hessian Information Geometry
  • Monotone Embedding in Information Geometry
  • Information Structure in Neuroscience
  • Geometric Robotics & Tracking
  • Geometric Mechanics & Robotics
  • Stochastic Geometric Mechanics & Lie Group Thermodynamics
  • Probability on Riemannian Manifolds
  • Divergence Geometry
  • Geometric Deep Learning
  • First and second-order Optimization on Statistical Manifolds
  • Non-parametric Information Geometry
  • Geometry of quantum states
  • Optimization on Manifold
  • Computational Information Geometry
  • Probability Density Estimation
  • Geometry of Tensor-Valued Data
  • Geometry and Inverse Problems
  • Geometry in Vision, Learning and Dynamical Systems
  • Lie Groups and Wavelets
  • Geometry of metric measure spaces
  • Geometry and Telecom
  • Geodesic Methods with Constraints
  • Applications of Distance Geometry
Faces in the banner, in order: Euclide, Thales, Clairaut, Legendre, Poncelet, Darboux, Poincaré, Cartan, Fréchet, Libermann, Leray, Koszul, Ferrand, Souriau, Balian, Berger, Choquet-Bruhat, Gromov
Music is from Pascal Dusapin (born 29 May 1955) is a contemporary French composer born in Nancy, France. His music is marked by its microtonality, tension, and energy. A pupil of Iannis Xenakis and Franco Donatoniand an admirer of Varèse, Dusapin studied at the University of Paris I and Paris VIII during the 1970s. His music is full of "romantic constraint", and he rejects the use of electronics, percussion other than timpani, and, up until the late 1990s, piano. His melodies have a vocal quality, even in purely instrumental works. Dusapin has composed solo, chamber, orchestral, vocal, and choral works, as well as several operas, and has been honored with numerous prizes and awards.
 
Inscriptions / Registration
GSI'17 Opening session, GSI'17-Closing session
TGSI2017
TGSI2017 is dedicated to the geometrical and topological foundations of information theory. It will complement the 2017, 2016, 2015 and 2013 edition of "Geometric science of information" and "Information Geometry and its Applications IV", by focusing on the advances of entropy and information functions in probability, geometry, homology, algebra, category theory and their expression in physic and data analysis.
Event web site
Preliminary program
Abstract submission
Entropy 2018

One of the most frequently used scientific words, is the word “Entropy”. The reason is that it is related to two main scientific domains: physics and information theory. Its origin goes back to the start of physics (thermodynamics), but since Shannon, it has become related to information theory. This conference is an opportunity to bring researchers of these two communities together and create a synergy. The main topics and sessions of the conference cover: 

  • Physics: classical Thermodynamics and Quantum
  • Statistical physics and Bayesian computation
  • Geometrical science of information, topology and metrics
  • Maximum entropy principle and inference
  • Kullback and Bayes or information theory and Bayesian inference
  • Entropy in action (applications)

The inter-disciplinary nature of contributions from both theoretical and applied perspectives are very welcome, including papers addressing conceptual and methodological developments, as well as new applications of entropy and information theory.

All accepted abstracts will be published in the proceedings of the conference. A selection of invited and contributed talks presented during the conference will be invited to submit an extended version of their paper for a special issue of the open access Journal Entropy. 

Event web site
Marcel BERGER (14 april 1927 - 15 october 2016)
Marcel Berger greatly contributed to mathematics, through his own publications, for example on holonomy groups, symmetric spaces, curvature pinching and the sphere theorem, spectral geometry or systolic geometry. His influence goes far beyond his research papers. His books and surveys have inspired not only his students, but a much broader audience. Important features of Marcel Berger's mathematical heritage are also his seminar and his influence on the round tables organized by his friend Arthur L. Besse. Marcel Berger's Riemannian geometry seminar held at the Universite Paris VII in the nineteen-seventies and eighties, hosted lectures by both reputable mathematicians and young researchers. For the participants, it was a unique place for lively and informal mathematical discussions and exchanges, as well as inspiration.
IHES event:
Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
 
Marcel Berger is author of these Books :
 
Marcel Berger was a friend of Arthur L. Besse:
Michel Marie DEZA (27 April 1939 -23 November 2016)
Michel Marie Deza died on  23 nov 2016 in an accidental fire in his apartment in Paris.
He was a Soviet and French mathematician, specializing in combinatorics, discrete geometry and graph theory.
He is a retired director of research at the French National Centre for Scientific Research (CNRS), the vice president of the European Academy of Sciences,a research professor at the Japan Advanced Institute of Science and Technology, and one of the three founding editors-in-chief of the European Journal of Combinatorics.
2012 video of Michel Marie Deza at IRCAM for Brillouin Seminar for « Geometric Science of Information »
Michel Marie Deza is author of the SPRINGER book:
Encyclopedia of Distances
Authors: Deza, Michel Marie, Deza, Elena
Michel was in the board of the GSI conferences since 2013.

A propos

Presentation videos are on line !

As for GSI’13 and GSI’15, the objective of this SEE Conference GSI’17, hosted in Paris, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.
It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine & Deep Learning, Artificial Intelligence, Speech/sound recognition, natural language treatment, Big Data Analytics, etc., which are also substantially relevant for industry.
The Conference will be therefore held in areas of priority/focused themes and topics of mutual interest with the aim to:
  • Provide an overview on the most recent state-of-the-art
  • Exchange mathematical information/knowledge/expertise in the area
  • Identify research areas/applications for future collaboration
  • Identify academic & industry labs expertise for further collaboration
This conference will be an interdisciplinary event and will unify skills from Geometry, Probability and Information Theory. The conference proceedings are published in Springer's Lecture Note in Computer Science (LNCS) series.
Provisional Topics of Special Sessions:
  • Statistics on non-linear data
  • Shape Space
  • Optimal Transport & Applications I (Data Science and Economics)
  • Optimal Transport & Applications II (Signal and Image Processing)
  • Topology and statistical learning
  • Statistical Manifold & Hessian Information Geometry
  • Monotone Embedding in Information Geometry
  • Information Structure in Neuroscience
  • Geometric Robotics & Tracking
  • Geometric Mechanics & Robotics
  • Stochastic Geometric Mechanics & Lie Group Thermodynamics
  • Probability on Riemannian Manifolds
  • Divergence Geometry
  • Geometric Deep Learning
  • First and second-order Optimization on Statistical Manifolds
  • Non-parametric Information Geometry
  • Geometry of quantum states
  • Optimization on Manifold
  • Computational Information Geometry
  • Probability Density Estimation
  • Geometry of Tensor-Valued Data
  • Geometry and Inverse Problems
  • Geometry in Vision, Learning and Dynamical Systems
  • Lie Groups and Wavelets
  • Geometry of metric measure spaces
  • Geometry and Telecom
  • Geodesic Methods with Constraints
  • Applications of Distance Geometry
Faces in the banner, in order: Euclide, Thales, Clairaut, Legendre, Poncelet, Darboux, Poincaré, Cartan, Fréchet, Libermann, Leray, Koszul, Ferrand, Souriau, Balian, Berger, Choquet-Bruhat, Gromov
Music is from Pascal Dusapin (born 29 May 1955) is a contemporary French composer born in Nancy, France. His music is marked by its microtonality, tension, and energy. A pupil of Iannis Xenakis and Franco Donatoniand an admirer of Varèse, Dusapin studied at the University of Paris I and Paris VIII during the 1970s. His music is full of "romantic constraint", and he rejects the use of electronics, percussion other than timpani, and, up until the late 1990s, piano. His melodies have a vocal quality, even in purely instrumental works. Dusapin has composed solo, chamber, orchestral, vocal, and choral works, as well as several operas, and has been honored with numerous prizes and awards.
 

Informations

ALEAE GEOMETRIA, the Geometry of Chance by Blaise Pascal
    The "calculation of probabilities" began four years after the death of René Descartes [4][5][6][7][8][9][10], in 1654, in a correspondence between Blaise Pascal and Pierre Fermat [1][11][13][14][16][21][22][32]. They exchanged letters on elementary problems of gambling, in this case a problem of dice and a problem of "parties".  Pascal and Fermat were particularly interested by this problem and succeeded in "Party rule" by two different methods.  One understands the legitimate pride of Pascal in his address of the same year at the Académie Parisienne created by Mersenne, to which he presented, among "the ripe fruit of our Geometry" (“les fruits mûrs de notre Géométrie” in french) an entirely new treaty, of an absolutely unexplored matter, the distribution of chance in the games. In the same way, Pascal in his introduction to “Les Pensées” wrote that "under the influence of Méré, given to the game, he throws the bases of the calculation of probabilities and composes the Treatise of the Arithmetical Triangle. If Pascal appears at first sight as the initiator of the calculation of probabilities, watching a little closer, its role in the emergence of this theory is more complex. However, there is no trace of the word probabilities in Pascal's work. To designate what might resemble what we now call calculation of probabilities, one doesn’t even find the word in such a context. The only occurrences of probability are found in “Les Provinciales” where he referred to the doctrine of the Jesuits, or in “Les Pensées”. We do not find in Pascal's writings, the words of “Doctrine des chances”, or “Calcul des chances”, but only “Géométrie du hasard” (geometry of chance). In 1654, Blaise Pascal submitted a short paper to "Celeberrimae matheseos Academiae Parisiensi" (ancestor of the French Royal Academy of Sciences founded in 1666), with the title "Aleae Geometria” (Geometry of Chance) or “De compositione aleae in ludis ipsi subjectis", that was the seminal paper founding Probability as a new discipline in Science. In this paper, Pascal said “… et sic matheseos demonstrationes cum aleae incertitudine jugendo, et quae contraria videntur conciliando, ab utraque nominationem suam accipiens, stupendum hunc titulum jure sibi arrogat: Aleae Geometria” that we can translate as “By the union thus realized between the demonstrations of mathematics and the uncertainty of chance, and by the conciliation of apparent contradictions, it can derive its name from both sides and arrogate to itself this astonishing title: Geometry of Chance” (« … par l’union ainsi réalisée entre les démonstrations des mathématiques et l’incertitude du hasard, et par la conciliation entre les contraires apparents, elle peut tirer son nom de part et d’autre et s’arroger à bon droit ce titre étonnant: Géométrie du Hasard ». We can observe that Blaise Pascal attached a geometrical sense to probabilities in this seminal paper.  As Jacques Bernoulli, we can also give references to another Blaise Pascal document entitled “Art de penser” (the “Logique” of Port-Royal), published the year of his death (1662), with last chapters containing elements on the calculus of probabilities applied to history, to medicine, to miracles, to literary criticism, to events of life, etc.
   In “De l'esprit géométrique », the use of reason for knowledge is thought on a geometric model. In geometry, the first principles are given by the natural lights common to all men, and there is no need to define them. Other principles are clearly defined by definitions of names such that it is always possible to mentally substitute the definition for the defined [23][24][25]. These definitions of names are completely free, the only condition to be respected is univocity and invariability.  Judging his solution as one of his most important contributions to science, Pascal envisioned the drafting of a small treatise entitled “Géométrie du Hasard” (Geometry of Chance). He will never write it. Inspired by this, Christian Huygens wrote the first treatise on the calculation of chances, the “De ratiociniis in ludo aleae” ("On calculation in games of chance", 1657). We can conclude this preamble by observing that seminal work of Blaise Pascal on Probability was inspired by Geometry. The objective of GSI conference is to come back to this initial idea that we can geometrize statistics in a rigorous way.
   We can also make reference to Blaise Pascal for this GSI conference on computing geometrical statistics, because he was the inventor of computer with his “Pascaline” machine. The introduction of Pascaline marks the beginning of the development of mechanical calculus in Europe. This development, which will pass from the calculating machines to the electrical and electronic calculators of the following centuries, will culminate with the invention of the microprocessor. But it was also Charles Babbage who conceived his analytical machine from 1834 to 1837, a programmable calculating machine which was the ancestor of the computers of the 1940s, combining the inventions of Blaise Pascal and Jacquard’s machine, with instructions written on perforated cards, one of the descendants of the Pascaline, the first machine which supplied the intelligence of man.
 
References:
[1] ABOUT, P.J., BOY, M., «La correspondance de Blaise Pascal et de Pierre de Fermat», Cahiers de Fontenay, n° 32, p. 59-73.
[2] BARBARESCO, F., “Les densités de probabilité « distinguées » et l’équation d’Alexis Clairaut:                                                regards croisés de Maurice Fréchet et de Jean-Louis Koszul », Colloque GRETSI’17, Juan-Les-Pins-September 2017
[3] BARBARESCO, F. & DJAFARI, A., ”Information, Entropy and Their Geometric Structures”, MDPI Entropy, September 2015; http://www.mdpi.com/books/pdfview/book/127
[4] BAYES, Th., «An essay towards solving a problem in the doctrine of chance», Philosophical Transactions of the Royal Society of London, 53 (1763), trad. J.-P. Cléro, Cahiers d'histoire et de philosophie des sciences, n° 18, 1988.
[5] BERNOULLI, J., Ars conjectandi (1713), die Werke von Jakob Bernoulli, 3 vols., Basel, 1969-1975.
[6] BYRNE, E., Probability and Opinion: A Study in the Medieval Pre-suppositions of Post-Medieval Theories of probability, La Haye, Martinus Nijhoff, 1968.
[7] CARDANO, De ludo aleae (ca. 1520), Opera Omnia, 10 vols., Stuttgart, 1966.
[8] CARDANO, The Book on Games of Chance, trad. S. H. Gould, New York, 1961.
[9] DASTON, L., Probability in the Enlightenment, Princeton, 1988.
[10] DAVID, F. N., Games, Gods and Gambling, A History of Probability and Statistical Ideas, London, Charles Griffin & Co, 1962.
[11] DAVIDSON, H. M., Pascal and the Arts of the Mind, Cambridge, Cambridge University Press, 1993.
[12] DE MOIVRE, A., The Doctrine of Chances, 3rd edition, London, 1756.
[13] EDWARDS, A. W. F., «Pascal and the Problem of Points», International Statistical Review, t. 51, 1983, p. 259-266.
[14] EDWARDS, A. W. F., «Pascal's Problem: The Gambler's Ruin», International Statistical Review, t. 50, 1982, p. 73-79.
[15] FRECHET M., Sur l’extension de certaines évaluations statistiques au cas de petits échantillons. Revue de l’Institut International de Statistique 1943, vol. 11, n° 3/4, pp. 182–205.
[16] GODFROY-GÉNIN A.S., Pascal la Géométrie du Hasard, Math. & Sci. hum., (38e année, n° 150, 2000, p. 7-39
[17] HACKING, I., The Emergence of Probability, Cambridge, 1975.
[18] KENDALL, M. G., PEARSON, E. S., (eds.)., Studies in the History of Statistics and Probability, 2 vols., London, 1970-1977.
[19] LEIBNIZ, G. W., «Nouveaux essais sur l'entendement humain», Sämtliche Schriften und Briefe, Berlin, 1962-1980, réed. Garnier-Flammarion, 1966.
[20] LEIBNIZ, G. W., Opuscules et fragments inédits, Couturat, ed., Paris, 1961.
[21] ORE, O., Cardano, the gambling scholar, Princeton, 1953.
[22] «Pascal et les probabilités», Cahiers Pédagogiques de philosophie et d'histoire des mathématiques, fascicule 4, IREM et CRDP de Rouen, 1993.
[23] PASCAL, B., Les Provinciales, Paris, Le Guern éd., 1987.
[24] PASCAL, B., Oeuvres complètes, J. Mesnard éd., 4 volumes publiés, 1964-1970.
[25] PASCAL, B., Pensées de Pascal, Paris, Ph. Sellier éd., 1991.
[26] PEARSON, K., The History of Statistics in the 17th and 18th Centuries, London, E.S. Pearson, ed., 1978.
[27] SCHNEIDER, I., «Why do we find the origin of a calculus of probabilities in the seventeenth century ?», Pisa Conference Proceedings, vol. 2, Dordrecht and Boston, J.Hintikka, D. Gruender, E. Agazzi eds., 1980.
[28] SCHNEIDER, I., Die Entwicklung des Wahrscheinlichkeitsbegriff in des Mathematik von Pascal bis Laplace, Munich, 1972.
[29] SHEYNIN, O., «On the early history of the law of large numbers», Studies in the History of Statistics and Probability, vol. 1, Paerson and Kendall eds., 1970.
[30] SHEYNIN, O., «On the prehistory of the theory of probability», Archives for History of Exact Sciences 12, 1974.
[31] STIGLER, S., The History of Statistics: The measurement of Uncertainety Before 1900, Cambridge (Mass.), The Belknap Press of Harvard University Press, 1986.

[32] TODHUNTER, I., A History of Mathematical Theory of Probability from the Time of Pascal to that of Laplace, Cambridge et Londres, Macmillan, 1865.

GSI Logo
The frontispiece of an Adelard of Bath Latin translation of Euclid's Elements, c. 1309–1316; the oldest surviving Latin translation of the Elements is a 12th-century translation by Adelard from an Arabic version.
 
Adelard of Bath:
He left England toward the end of the 11th century for Tours in France
Adelard taught for a time at Laon, leaving Laon for travel no later than 1109.
After Laon, he travelled to Southern Italy and Sicily no later than 1116.
Adelard also travelled extensively throughout the "lands of the Crusades": Greece, West Asia, Sicily, Spain, and potentially Palestine.
 
Adelard of Bath was the first to translate Euclid’s Elements in Latin
Adelard of Bath has introduced the word « Algorismus » in Latin after his translation of  Al Khuwarizmi
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Opening and closing sessions (chaired by Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel)
Détails de l'article GSI'17 Opening session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article GSI'17-Closing session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel

Keynotes
Détails de l'article The hypoelliptic Laplacian Jean-Michel Bismut
Détails de l'article Geometry of the visuo-vestibular information Daniel Bennequin
Détails de l'article Riemannian metrics on Shape spaces of curves and surfaces Alice Barbara Tumpach

session Computational Information Geometry (chaired by Frank Nielsen, Olivier Schwander)
Détails de l'article Warped metrics for location-scale models Salem Said, Yannick Berthoumieu
Détails de l'article Bregman divergences from comparative convexity Frank Nielsen, Richard Nock
Détails de l'article Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains Philippe Regnault, Valérie Girardin, Loïck Lhote
Détails de l'article On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices Rémy Boyer, Frank Nielsen
Détails de l'article Coordinate-wise transformation and Stein-type densities Tomonari Sei

Session Geometrical Structures of Thermodynamics (chaired by Frédéric Barbaresco, François Gay-Balmaz)
Détails de l'article A variational formulation for uid dynamics with irreversible processes François Gay-Balmaz, Hiroaki Yoshimura
Détails de l'article Dirac structures in nonequilbrium thermodynamics Hiroaki Yoshimura, François Gay-Balmaz
Détails de l'article About the de nition of port variables for contact Hamiltonian systems Bernhard Maschke, Arjan van der Schaft
Détails de l'article Method of orbits of co-associated representation in thermodynamics of the Lie non-compact groups Vitaly Mikheev
Détails de l'article Poly-Symplectic Model of Higher Order Souriau Lie Groups Thermodynamics for Small Data Analytics Frédéric Barbaresco
Détails de l'article Thermodynamic equilibrium and relativity: Killing vectors and Lie derivatives Francesco Becattini

Session Geometry of Tensor-Valued Data (chaired by Jesús Angulo, Yannick Berthoumieu, Geert Verdoolaege, Ali Mohammad-Djafari)
Détails de l'article A Riemanian Approach to Blob Detection in Manifold-Valued Images Aleksei Shestov, Mikhail Kumskov
Détails de l'article Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu
Détails de l'article Positive Signal Spaces and the Mehler-Fock Transform Reiner Lenz
Détails de l'article Bounding the convergence time of local probabilistic evolution Simon Apers, Alain Sarlette, Francesco Ticozzi
Détails de l'article Inductive means and sequences applied to online classi cation of EEG Estelle Massart, Sylvain Chevallier

Session Probability on Riemannian Manifolds (chaired by Marc Arnaudon, ‎Ana Bela Cruzeiro)
Détails de l'article Natural Langevin Dynamics for Neural Networks Gaétan Marceau-Caron, Yann Ollivier
Détails de l'article 3D insights to some divergences for robust statistics and machine learning Birgit Roensch, Wolfgang Stummer
Détails de l'article A stochastic look at geodesics on the sphere Marc Arnaudon, Jean-Claude Zambrini
Détails de l'article Constructing Universal, Non-Asymptotic Con dence Sets for Intrinsic Means on the Circle Matthias Glock, Thomas Hotz
Détails de l'article Noncommutative geometry and stochastic processes Marco Frasca
Détails de l'article Hamilton-Jacobi theory and Information Geometry Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo

Session Information Structure in Neuroscience (chaired by Pierre Baudot, Daniel Bennequin, S. Roy)
Détails de l'article Pairwise Ising model analysis of human cortical neuron recordings Trang-Anh Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli
Détails de l'article Multi-Scale Activity Estimation with Spatial Abstractions Majd Hawasly, Florian T. Pokorny, Subramanian Ramamoorthy
Détails de l'article Geometry of Policy Improvement Guido Montùfar, Johannes Rauh
Détails de l'article Joint geometric and photometric visual tracking based on Lie group Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu

Session Geometric Mechanics & Robotics (chaired by Géry de Saxcé, Joël Bensoam, Jean Lerbet)
Détails de l'article Geometric Degree of Non Conservativeness Jean Lerbet, Noël Challamel, François Nicot, Félix Darve
Détails de l'article A symplectic minimum variational principle for dissipative dynamical systems Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé
Détails de l'article Torsional Newton-Cartan Geometry Eric Bergshoe, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel
Détails de l'article Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation Thomas Hélie, Fabrice Silva
Détails de l'article Differential Geometry applied to Acoustics Non Linear Propagation in Reissner Beams : an integrable system? Frédéric Hélein, Joël Bensoam, Pierre Carré
Détails de l'article Quantum Harmonic Analysis and the Positivity of Trace Class Operators; Applications to Quantum Mechanics Elena Cordero, Maurice A. de Gosson, Fabio Nicola

Session Optimization on Manifold (chaired by Pierre-Antoine Absil, Rodolphe Sepulchre)
Détails de l'article Applying Backward Nested Subspace Inference to Tori and Polyspheres Benjamin Eltzner, Stephan Huckemann
Détails de l'article Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2? Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil
Détails de l'article Nonlocal Inpainting of Manifold-valued Data on Finite Weighted Graphs Ronny Bergmann, Daniel Tenbrinck
Détails de l'article Affine-Invariant Orders on the Set of Positive-Defi nite Matrices Cyrus Mostajeran, Rodolphe Sepulchre
Détails de l'article Geodesic Least Squares Regression on the Gaussian Manifold with an Application in Astrophysics Geert Verdoolaege

Session Geometric Robotics & Tracking (chaired by Silvère Bonnabel, Axel Barrau)
Détails de l'article Drone Tracking Using an Innovative UKF Marion Pilté, Silvère Bonnabel, Frédéric Barbaresco
Détails de l'article Particle observers for contracting dynamical systems Silvère Bonnabel, Jean-Jacques Slotine
Détails de l'article Sigma Point Kalman Filtering on Matrix Lie Groups Applied to the SLAM Problem James Richard Forbes, David Evan Zlotnik
Détails de l'article A topological view on forced oscillations and control of an inverted pendulum Ivan Polekhin
Détails de l'article Uniform observability of linear time-varying systems and application to robotics problems Pascal Morin, Alexandre Eudes, Glauco Scandaroli
Détails de l'article Global exponential attitude and gyro bias estimation from vector measurements Philippe Martin, Ioannis Sarras

Session Probability Density Estimation (chaired by Salem Said, Emmanuel Chevalier)
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten
Détails de l'article Density estimation for Compound Cox processes on hyperspheres Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton
Détails de l'article Maximum likelihood estimators on manifolds Hatem Hajri, Salem Said, Yannick Berthoumieu
Détails de l'article Von Mises-like probability density functions on surfaces Florence Nicol, Stephane Puechmorel
Détails de l'article Riemannian Gaussian distributions on the space of positive-de nite quaternion matrices Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Détails de l'article A family of anisotropic distributions on the hyperbolic plane Emmanuel Chevallier

Session Applications of Distance Geometry (chaired by Antonio Mucherino, Douglas Gonçalves)
Détails de l'article Distance Geometry and Applications Antonio Mucherino, Douglas Gonçalves
Détails de l'article An Approach to Dynamical Distance Geometry Antonio Mucherino, Douglas Gonçalves
Détails de l'article Distance geometry in linearizable norms Claudia D'Ambrosio, Leo Liberti
Détails de l'article Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals Philippe Jacquet, Dalia Popescu
Détails de l'article Information Distances in Stochastic Resolution Analysis Radmila Pribić
Détails de l'article k-Means Clustering with Hölder divergences Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet
Détails de l'article Real hypersurfaces in the complex quadric with certain condition of normal Jacobi operator Imsoon Jeong, Gyu Jong Kim, Young Jin Suh

Session Statistics on non-linear data (chaired by Xavier Pennec, Stefan Sommer)
Détails de l'article Stochastic Development Regression using Method of Moments Line Kühnel, Stefan Sommer
Détails de l'article Bootstrapping Descriptors for Non-Euclidean Data Benjamin Eltzner, Stephan Huckemann
Détails de l'article Sample-limited Lp Barycentric Subspace Analysis on Constant Curvature Spaces Xavier Pennec
Détails de l'article Parallel transport in shape analysis: a scalable numerical scheme Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman
Détails de l'article Maximum likelihood estimation of Riemannian metrics from Euclidean data Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg

Session Shape Space (chaired by Stéphanie Allassonnière, Stanley Durrleman, Alain Trouvé)
Détails de l'article Optimal matching between curves in a manifold Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Détails de l'article Shape analysis on Lie groups and homogeneous spaces Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding
Détails de l'article Newton's Equation on Diffeomorphisms and Densities Boris Khesin, Gerard Misio lek, Klas Modin
Détails de l'article Optimization in the Space of Smooth Shapes Kathrin Welker
Détails de l'article Surface Matching Using Normal Cycles Pierre Roussillon, Joan Alexis Glaunès

Session Divergence Geometry (chaired by Michel Broniatowski, Imre Csiszár)
Détails de l'article Empirical ϕ*-Divergence Minimizers for Hadamard Differentiable Functionals Patrice Bertail, Emmanuelle Gautherat, Hugo Harari-Kermadec
Détails de l'article Log-Determinant Divergences Between Positive De nite Hilbert-Schmidt Operators Hà Quang Minh
Détails de l'article Some new exibilizations of Bregman divergences and their asymptotics Wolfgang Stummer, Anna-Lena Kißlinger
Détails de l'article Quantification of Model Risk: Data Uncertainty Zuzana Krajcovicova, Pedro Pablo Perez-Velasco, Carlos Vázquez
Détails de l'article Process comparison combining signal power ratio and Jeffrey's divergence between unit-power signals Eric Grivel, Leo Legrand

Session Geodesic Methods with Constraints (chaired by Pierre Mirebeau, Laurent Cohen)
Détails de l'article Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle Erik Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov
Détails de l'article Anisotropic Edge-based Balloon Eikonal Active Contours Da Chen, Laurent Cohen
Détails de l'article Automatic differentiation of non-holonomic fast marching for computing most threatening trajectories under sensors surveillance Jean-Marie Mirebeau, Johann Dreo
Détails de l'article On the existence of paths connecting probability distributions Rui F. Vigelis, Luiza Helena Félix de Andrade, Charles Casimiro Cavalcante
Détails de l'article Classif ication Of Totally Umbilical CR-Statistical Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid

Session Gender Equality (chaired by Alice Barbara Tumpach)
Détails de l'article Women in Science : 150th Marie Curie Birthday Alice Barbara Tumpach
Détails de l'article Women, diversity, science and Unconscious Bias Nina Miolane
Détails de l'article Gender Diversity in industry : Overview of the situation, motivation and areas for action Valérie Archambault

Session Optimal Transport & Applications - Signal processing (chaired by Jean-François Marcotorchino, Alfred Galichon)
Détails de l'article Information Geometry of Wasserstein Divergence Ryo Karakida, Shun-Ichi Amari
Détails de l'article Anomaly detection in network traffic with a relationnal clustering criterion Damien Nogues
Détails de l'article Diffeomorphic random sampling using optimal information transport Martin Bauer, Sarang Joshi, Klas Modin
Détails de l'article Optimal Transport to Rényi Entropies Olivier Rioul

Session Optimal Transport & Applications - Image processing (chaired by Quentin Mérigot, Jérémie Bigot, Bertrand Maury)
Détails de l'article Regularized Barycenters in the Wasserstein Space Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis
Détails de l'article Extremal curves in Wasserstein space Giovanni Conforti, Michele Pavon
Détails de l'article Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures Bruno Galerne, Arthur Leclaire, Julien Rabin
Détails de l'article Analysis of Optimal Transport Related Mis fit Functions in Seismic Imaging Yunan Yang, Björn Engquist

Session Monotone Embedding in Information Geometry (chaired by Jun Zhang, Jan Naudts)
Détails de l'article Information Geometry Under Monotone Embedding. Part I: Divergence Functions Jun Zhang, Jan Naudts
Détails de l'article Information Geometry Under Monotone Embedding. Part II: Geometry Jan Naudts, Jun Zhang
Détails de l'article A sequential structure of statistical manifolds on deformed exponential family Hiroshi Matsuzoe, Antonio M. Scarfone, Tatsuaki Wada
Détails de l'article Normalization and ϕ-function: definition and consequences Luiza Helena Félix de Andrade, Rui F. Vigelis, Francisca L. J. Vieira, Charles Casimiro Cavalcante
Détails de l'article Deformed exponential bundle: the linear growth case Luigi Montrucchio, Giovanni Pistone
Détails de l'article On affine immersions of the probability simplex and their conformal flattening Atsumi Ohara

Session Non-parametric Information Geometry (chaired by Lorenz Schwachhöfer, John Armstrong)
Détails de l'article Itô Stochastic Differential Equations as 2-Jets John Armstrong, Damiano Brigo
Détails de l'article The Cramér-Rao inequality on singular statistical models Hong Van Le, Jürgen Jost, Lorenz Schwachhöfer
Détails de l'article Information Geometry of Predictor Functions in a Regression Model Shinto Eguchi, Katsuhiro Omae
Détails de l'article Translations in the exponential Orlicz space with Gaussian weight Giovanni Pistone
Détails de l'article On Mixture and Exponential Connection by Open Arcs Marina Santacroce, Paola Siri, Barbara Trivellato

Session Statistical Manifold & Hessian Information Geometry (chaired by Michel Nguiffo Boyom, Hiroshi Matsuzoe, Hasan Shahid)
Détails de l'article Statistical Manifolds Admitting Torsion, Pre-contrast Functions and Estimating Functions Masayuki Henmi
Détails de l'article Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid, Mohammed Jamali
Détails de l'article The functor of Amari and Riemannian dynamics Michel Nguiffo Boyom, Ahmed Zeglaoui
Détails de l'article Sasakian statistical manifolds II Hitoshi Furuhata
Détails de l'article (Para-)Holomorphic Connections for Information Geometry Sergey Grigorian, Jun Zhang
Détails de l'article Matrix realization of a homogeneous Hessian domain Hideyuki Ishi

Auteurs

Abdelbacet Oueslati
Détails de l'article A symplectic minimum variational principle for dissipative dynamical systems Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé

Ahmed Zeglaoui
Détails de l'article The functor of Amari and Riemannian dynamics Michel Nguiffo Boyom, Ahmed Zeglaoui

Alain Destexhe
Détails de l'article Pairwise Ising model analysis of human cortical neuron recordings Trang-Anh Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari

Alain Sarlette
Détails de l'article Bounding the convergence time of local probabilistic evolution Simon Apers, Alain Sarlette, Francesco Ticozzi

Aleksei Shestov
Détails de l'article A Riemanian Approach to Blob Detection in Manifold-Valued Images Aleksei Shestov, Mikhail Kumskov

Alex Mun
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Alexander Schmeding
Détails de l'article Shape analysis on Lie groups and homogeneous spaces Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding

Alexandre Bône
Détails de l'article Parallel transport in shape analysis: a scalable numerical scheme Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman

Alexandre Eudes
Détails de l'article Uniform observability of linear time-varying systems and application to robotics problems Pascal Morin, Alexandre Eudes, Glauco Scandaroli

Alexey Mashtakov
Détails de l'article Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle Erik Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov

Alice Barbara Tumpach
Détails de l'article Riemannian metrics on Shape spaces of curves and surfaces Alice Barbara Tumpach
Détails de l'article Women in Science : 150th Marie Curie Birthday Alice Barbara Tumpach

Alice Le Brigant
Détails de l'article Optimal matching between curves in a manifold Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco

Aliya Naaz Siddiqui
Détails de l'article Classif ication Of Totally Umbilical CR-Statistical Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid

An Danh Nguyen
Détails de l'article A symplectic minimum variational principle for dissipative dynamical systems Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé

Andrew Zhao
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Anna-Lena Kißlinger
Détails de l'article Some new exibilizations of Bregman divergences and their asymptotics Wolfgang Stummer, Anna-Lena Kißlinger

Antonio M. Scarfone
Détails de l'article A sequential structure of statistical manifolds on deformed exponential family Hiroshi Matsuzoe, Antonio M. Scarfone, Tatsuaki Wada

Antonio Mucherino
Détails de l'article An Approach to Dynamical Distance Geometry Antonio Mucherino, Douglas Gonçalves
Détails de l'article Distance Geometry and Applications Antonio Mucherino, Douglas Gonçalves

Arjan van der Schaft
Détails de l'article About the de nition of port variables for contact Hamiltonian systems Bernhard Maschke, Arjan van der Schaft

Arthur Leclaire
Détails de l'article Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures Bruno Galerne, Arthur Leclaire, Julien Rabin

Athanasios Chatzistavrakidis
Détails de l'article Torsional Newton-Cartan Geometry Eric Bergshoe, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

Atsumi Ohara
Détails de l'article On affine immersions of the probability simplex and their conformal flattening Atsumi Ohara

Barbara Trivellato
Détails de l'article On Mixture and Exponential Connection by Open Arcs Marina Santacroce, Paola Siri, Barbara Trivellato

Benjamin Charlier
Détails de l'article Parallel transport in shape analysis: a scalable numerical scheme Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman

Benjamin Eltzner
Détails de l'article Applying Backward Nested Subspace Inference to Tori and Polyspheres Benjamin Eltzner, Stephan Huckemann
Détails de l'article Bootstrapping Descriptors for Non-Euclidean Data Benjamin Eltzner, Stephan Huckemann

Bernhard Maschke
Détails de l'article About the de nition of port variables for contact Hamiltonian systems Bernhard Maschke, Arjan van der Schaft

Birgit Roensch
Détails de l'article 3D insights to some divergences for robust statistics and machine learning Birgit Roensch, Wolfgang Stummer

Björn Engquist
Détails de l'article Analysis of Optimal Transport Related Mis fit Functions in Seismic Imaging Yunan Yang, Björn Engquist

Boris Khesin
Détails de l'article Newton's Equation on Diffeomorphisms and Densities Boris Khesin, Gerard Misio lek, Klas Modin

Bruno Galerne
Détails de l'article Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures Bruno Galerne, Arthur Leclaire, Julien Rabin

Carlos Vázquez
Détails de l'article Quantification of Model Risk: Data Uncertainty Zuzana Krajcovicova, Pedro Pablo Perez-Velasco, Carlos Vázquez

Charles Casimiro Cavalcante
Détails de l'article Normalization and ϕ-function: definition and consequences Luiza Helena Félix de Andrade, Rui F. Vigelis, Francisca L. J. Vieira, Charles Casimiro Cavalcante
Détails de l'article On the existence of paths connecting probability distributions Rui F. Vigelis, Luiza Helena Félix de Andrade, Charles Casimiro Cavalcante

Chenxi Li
Détails de l'article Joint geometric and photometric visual tracking based on Lie group Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu

Christian Jutten
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten

Claudia D'Ambrosio
Détails de l'article Distance geometry in linearizable norms Claudia D'Ambrosio, Leo Liberti

Cyrus Mostajeran
Détails de l'article Affine-Invariant Orders on the Set of Positive-Defi nite Matrices Cyrus Mostajeran, Rodolphe Sepulchre

Da Chen
Détails de l'article Anisotropic Edge-based Balloon Eikonal Active Contours Da Chen, Laurent Cohen

Dalia Popescu
Détails de l'article Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals Philippe Jacquet, Dalia Popescu

Damiano Brigo
Détails de l'article Itô Stochastic Differential Equations as 2-Jets John Armstrong, Damiano Brigo

Damien Nogues
Détails de l'article Anomaly detection in network traffic with a relationnal clustering criterion Damien Nogues

Daniel Bennequin
Détails de l'article Geometry of the visuo-vestibular information Daniel Bennequin

Daniel Tenbrinck
Détails de l'article Nonlocal Inpainting of Manifold-valued Data on Finite Weighted Graphs Ronny Bergmann, Daniel Tenbrinck

David Evan Zlotnik
Détails de l'article Sigma Point Kalman Filtering on Matrix Lie Groups Applied to the SLAM Problem James Richard Forbes, David Evan Zlotnik

Douglas Gonçalves
Détails de l'article An Approach to Dynamical Distance Geometry Antonio Mucherino, Douglas Gonçalves
Détails de l'article Distance Geometry and Applications Antonio Mucherino, Douglas Gonçalves

Elena Celledoni
Détails de l'article Shape analysis on Lie groups and homogeneous spaces Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding

Elena Cordero
Détails de l'article Quantum Harmonic Analysis and the Positivity of Trace Class Operators; Applications to Quantum Mechanics Elena Cordero, Maurice A. de Gosson, Fabio Nicola

Elsa Cazelles
Détails de l'article Regularized Barycenters in the Wasserstein Space Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis

Emmanuel Chevallier
Détails de l'article A family of anisotropic distributions on the hyperbolic plane Emmanuel Chevallier

Emmanuelle Gautherat
Détails de l'article Empirical ϕ*-Divergence Minimizers for Hadamard Differentiable Functionals Patrice Bertail, Emmanuelle Gautherat, Hugo Harari-Kermadec

Eric Bergshoe
Détails de l'article Torsional Newton-Cartan Geometry Eric Bergshoe, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

Eric Grivel
Détails de l'article Process comparison combining signal power ratio and Jeffrey's divergence between unit-power signals Eric Grivel, Leo Legrand

Erik Bekkers
Détails de l'article Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle Erik Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov

Estelle Massart
Détails de l'article Inductive means and sequences applied to online classi cation of EEG Estelle Massart, Sylvain Chevallier

Fabio Di Cosmo
Détails de l'article Hamilton-Jacobi theory and Information Geometry Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo

Fabio Nicola
Détails de l'article Quantum Harmonic Analysis and the Positivity of Trace Class Operators; Applications to Quantum Mechanics Elena Cordero, Maurice A. de Gosson, Fabio Nicola

Fabrice Silva
Détails de l'article Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation Thomas Hélie, Fabrice Silva

Félix Darve
Détails de l'article Geometric Degree of Non Conservativeness Jean Lerbet, Noël Challamel, François Nicot, Félix Darve

Florence Nicol
Détails de l'article Von Mises-like probability density functions on surfaces Florence Nicol, Stephane Puechmorel

Florent Chatelain
Détails de l'article Density estimation for Compound Cox processes on hyperspheres Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton

Florian T. Pokorny
Détails de l'article Multi-Scale Activity Estimation with Spatial Abstractions Majd Hawasly, Florian T. Pokorny, Subramanian Ramamoorthy

Florio M. Ciaglia
Détails de l'article Hamilton-Jacobi theory and Information Geometry Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo

Francesco Becattini
Détails de l'article Thermodynamic equilibrium and relativity: Killing vectors and Lie derivatives Francesco Becattini

Francesco Ticozzi
Détails de l'article Bounding the convergence time of local probabilistic evolution Simon Apers, Alain Sarlette, Francesco Ticozzi

Francisca L. J. Vieira
Détails de l'article Normalization and ϕ-function: definition and consequences Luiza Helena Félix de Andrade, Rui F. Vigelis, Francisca L. J. Vieira, Charles Casimiro Cavalcante

François Gay-Balmaz
Détails de l'article A variational formulation for uid dynamics with irreversible processes François Gay-Balmaz, Hiroaki Yoshimura
Détails de l'article Dirac structures in nonequilbrium thermodynamics Hiroaki Yoshimura, François Gay-Balmaz

François Nicot
Détails de l'article Geometric Degree of Non Conservativeness Jean Lerbet, Noël Challamel, François Nicot, Félix Darve

Frank Nielsen
Détails de l'article Bregman divergences from comparative convexity Frank Nielsen, Richard Nock
Détails de l'article GSI'17 Opening session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article GSI'17-Closing session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article k-Means Clustering with Hölder divergences Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet
Détails de l'article On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices Rémy Boyer, Frank Nielsen

Frédéric Barbaresco
Détails de l'article Drone Tracking Using an Innovative UKF Marion Pilté, Silvère Bonnabel, Frédéric Barbaresco
Détails de l'article GSI'17 Opening session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article GSI'17-Closing session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article Optimal matching between curves in a manifold Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Détails de l'article Poly-Symplectic Model of Higher Order Souriau Lie Groups Thermodynamics for Small Data Analytics Frédéric Barbaresco

Frédéric Hélein
Détails de l'article Differential Geometry applied to Acoustics Non Linear Propagation in Reissner Beams : an integrable system? Frédéric Hélein, Joël Bensoam, Pierre Carré

Gaétan Marceau-Caron
Détails de l'article Natural Langevin Dynamics for Neural Networks Gaétan Marceau-Caron, Yann Ollivier

Geert Verdoolaege
Détails de l'article Geodesic Least Squares Regression on the Gaussian Manifold with an Application in Astrophysics Geert Verdoolaege

Georgios Arvanitidis
Détails de l'article Maximum likelihood estimation of Riemannian metrics from Euclidean data Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg

Gerard Misio lek
Détails de l'article Newton's Equation on Diffeomorphisms and Densities Boris Khesin, Gerard Misio lek, Klas Modin

Géry de Saxcé
Détails de l'article A symplectic minimum variational principle for dissipative dynamical systems Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé

Giovanni Conforti
Détails de l'article Extremal curves in Wasserstein space Giovanni Conforti, Michele Pavon

Giovanni Pistone
Détails de l'article Deformed exponential bundle: the linear growth case Luigi Montrucchio, Giovanni Pistone
Détails de l'article Translations in the exponential Orlicz space with Gaussian weight Giovanni Pistone

Giuseppe Marmo
Détails de l'article Hamilton-Jacobi theory and Information Geometry Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo

Glauco Scandaroli
Détails de l'article Uniform observability of linear time-varying systems and application to robotics problems Pascal Morin, Alexandre Eudes, Glauco Scandaroli

Guido Montùfar
Détails de l'article Geometry of Policy Improvement Guido Montùfar, Johannes Rauh

Gyu Jong Kim
Détails de l'article Real hypersurfaces in the complex quadric with certain condition of normal Jacobi operator Imsoon Jeong, Gyu Jong Kim, Young Jin Suh

Hà Quang Minh
Détails de l'article Log-Determinant Divergences Between Positive De nite Hilbert-Schmidt Operators Hà Quang Minh

Hatem Hajri
Détails de l'article Maximum likelihood estimators on manifolds Hatem Hajri, Salem Said, Yannick Berthoumieu

Hideyuki Ishi
Détails de l'article Matrix realization of a homogeneous Hessian domain Hideyuki Ishi

Hiroaki Yoshimura
Détails de l'article A variational formulation for uid dynamics with irreversible processes François Gay-Balmaz, Hiroaki Yoshimura
Détails de l'article Dirac structures in nonequilbrium thermodynamics Hiroaki Yoshimura, François Gay-Balmaz

Hiroshi Matsuzoe
Détails de l'article A sequential structure of statistical manifolds on deformed exponential family Hiroshi Matsuzoe, Antonio M. Scarfone, Tatsuaki Wada

Hitoshi Furuhata
Détails de l'article Sasakian statistical manifolds II Hitoshi Furuhata

Hong Van Le
Détails de l'article The Cramér-Rao inequality on singular statistical models Hong Van Le, Jürgen Jost, Lorenz Schwachhöfer

Hugo Harari-Kermadec
Détails de l'article Empirical ϕ*-Divergence Minimizers for Hadamard Differentiable Functionals Patrice Bertail, Emmanuelle Gautherat, Hugo Harari-Kermadec

Imsoon Jeong
Détails de l'article Real hypersurfaces in the complex quadric with certain condition of normal Jacobi operator Imsoon Jeong, Gyu Jong Kim, Young Jin Suh

Ioana Ilea
Détails de l'article Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu

Ioannis Sarras
Détails de l'article Global exponential attitude and gyro bias estimation from vector measurements Philippe Martin, Ioannis Sarras

Ivan Polekhin
Détails de l'article A topological view on forced oscillations and control of an inverted pendulum Ivan Polekhin

James Richard Forbes
Détails de l'article Sigma Point Kalman Filtering on Matrix Lie Groups Applied to the SLAM Problem James Richard Forbes, David Evan Zlotnik

Jan Naudts
Détails de l'article Information Geometry Under Monotone Embedding. Part I: Divergence Functions Jun Zhang, Jan Naudts
Détails de l'article Information Geometry Under Monotone Embedding. Part II: Geometry Jan Naudts, Jun Zhang

Jan Rosseel
Détails de l'article Torsional Newton-Cartan Geometry Eric Bergshoe, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

Jean Lerbet
Détails de l'article Geometric Degree of Non Conservativeness Jean Lerbet, Noël Challamel, François Nicot, Félix Darve

Jean-Claude Zambrini
Détails de l'article A stochastic look at geodesics on the sphere Marc Arnaudon, Jean-Claude Zambrini

Jean-Jacques Slotine
Détails de l'article Particle observers for contracting dynamical systems Silvère Bonnabel, Jean-Jacques Slotine

Jean-Marie Mirebeau
Détails de l'article Automatic differentiation of non-holonomic fast marching for computing most threatening trajectories under sensors surveillance Jean-Marie Mirebeau, Johann Dreo

Jean-Michel Bismut
Détails de l'article The hypoelliptic Laplacian Jean-Michel Bismut

Jeong Joon Park
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Jérémie Bigot
Détails de l'article Regularized Barycenters in the Wasserstein Space Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis

Joan Alexis Glaunès
Détails de l'article Surface Matching Using Normal Cycles Pierre Roussillon, Joan Alexis Glaunès

Joël Bensoam
Détails de l'article Differential Geometry applied to Acoustics Non Linear Propagation in Reissner Beams : an integrable system? Frédéric Hélein, Joël Bensoam, Pierre Carré

Johann Dreo
Détails de l'article Automatic differentiation of non-holonomic fast marching for computing most threatening trajectories under sensors surveillance Jean-Marie Mirebeau, Johann Dreo

Johannes Rauh
Détails de l'article Geometry of Policy Improvement Guido Montùfar, Johannes Rauh

John Armstrong
Détails de l'article Itô Stochastic Differential Equations as 2-Jets John Armstrong, Damiano Brigo

Jonathan H. Manton
Détails de l'article Density estimation for Compound Cox processes on hyperspheres Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton
Détails de l'article Riemannian Gaussian distributions on the space of positive-de nite quaternion matrices Salem Said, Nicolas Le Bihan, Jonathan H. Manton

Julien Rabin
Détails de l'article Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures Bruno Galerne, Arthur Leclaire, Julien Rabin

Jun Zhang
Détails de l'article (Para-)Holomorphic Connections for Information Geometry Sergey Grigorian, Jun Zhang
Détails de l'article Information Geometry Under Monotone Embedding. Part I: Divergence Functions Jun Zhang, Jan Naudts
Détails de l'article Information Geometry Under Monotone Embedding. Part II: Geometry Jan Naudts, Jun Zhang

Jürgen Jost
Détails de l'article The Cramér-Rao inequality on singular statistical models Hong Van Le, Jürgen Jost, Lorenz Schwachhöfer

Kathrin Welker
Détails de l'article Optimization in the Space of Smooth Shapes Kathrin Welker

Katsuhiro Omae
Détails de l'article Information Geometry of Predictor Functions in a Regression Model Shinto Eguchi, Katsuhiro Omae

Ke Sun
Détails de l'article k-Means Clustering with Hölder divergences Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet

Kevin Yuh
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Klas Modin
Détails de l'article Diffeomorphic random sampling using optimal information transport Martin Bauer, Sarang Joshi, Klas Modin
Détails de l'article Newton's Equation on Diffeomorphisms and Densities Boris Khesin, Gerard Misio lek, Klas Modin

Lars Kai Hansen
Détails de l'article Maximum likelihood estimation of Riemannian metrics from Euclidean data Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg

Laurent Cohen
Détails de l'article Anisotropic Edge-based Balloon Eikonal Active Contours Da Chen, Laurent Cohen

Laurent Jacques
Détails de l'article Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2? Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil

Leo Legrand
Détails de l'article Process comparison combining signal power ratio and Jeffrey's divergence between unit-power signals Eric Grivel, Leo Legrand

Leo Liberti
Détails de l'article Distance geometry in linearizable norms Claudia D'Ambrosio, Leo Liberti

Line Kühnel
Détails de l'article Stochastic Development Regression using Method of Moments Line Kühnel, Stefan Sommer

Lionel Bombrun
Détails de l'article Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu

Loïck Lhote
Détails de l'article Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains Philippe Regnault, Valérie Girardin, Loïck Lhote

Lorenz Schwachhöfer
Détails de l'article The Cramér-Rao inequality on singular statistical models Hong Van Le, Jürgen Jost, Lorenz Schwachhöfer

Luca Romano
Détails de l'article Torsional Newton-Cartan Geometry Eric Bergshoe, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

Luigi Montrucchio
Détails de l'article Deformed exponential bundle: the linear growth case Luigi Montrucchio, Giovanni Pistone

Luiza Helena Félix de Andrade
Détails de l'article Normalization and ϕ-function: definition and consequences Luiza Helena Félix de Andrade, Rui F. Vigelis, Francisca L. J. Vieira, Charles Casimiro Cavalcante
Détails de l'article On the existence of paths connecting probability distributions Rui F. Vigelis, Luiza Helena Félix de Andrade, Charles Casimiro Cavalcante

Majd Hawasly
Détails de l'article Multi-Scale Activity Estimation with Spatial Abstractions Majd Hawasly, Florian T. Pokorny, Subramanian Ramamoorthy

Marc Arnaudon
Détails de l'article A stochastic look at geodesics on the sphere Marc Arnaudon, Jean-Claude Zambrini
Détails de l'article Optimal matching between curves in a manifold Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco

Marco Congedo
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten

Marco Frasca
Détails de l'article Noncommutative geometry and stochastic processes Marco Frasca

Marina Santacroce
Détails de l'article On Mixture and Exponential Connection by Open Arcs Marina Santacroce, Paola Siri, Barbara Trivellato

Marion Pilté
Détails de l'article Drone Tracking Using an Innovative UKF Marion Pilté, Silvère Bonnabel, Frédéric Barbaresco

Markus Eslitzbichler
Détails de l'article Shape analysis on Lie groups and homogeneous spaces Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding

Martin Bauer
Détails de l'article Diffeomorphic random sampling using optimal information transport Martin Bauer, Sarang Joshi, Klas Modin

Masayuki Henmi
Détails de l'article Statistical Manifolds Admitting Torsion, Pre-contrast Functions and Estimating Functions Masayuki Henmi

Matilde Marcolli
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Matthias Glock
Détails de l'article Constructing Universal, Non-Asymptotic Con dence Sets for Intrinsic Means on the Circle Matthias Glock, Thomas Hotz

Maurice A. de Gosson
Détails de l'article Quantum Harmonic Analysis and the Positivity of Trace Class Operators; Applications to Quantum Mechanics Elena Cordero, Maurice A. de Gosson, Fabio Nicola

Maxime Louis
Détails de l'article Parallel transport in shape analysis: a scalable numerical scheme Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman

Michel Nguiffo Boyom
Détails de l'article Classif ication Of Totally Umbilical CR-Statistical Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid
Détails de l'article Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid, Mohammed Jamali
Détails de l'article The functor of Amari and Riemannian dynamics Michel Nguiffo Boyom, Ahmed Zeglaoui

Michele Pavon
Détails de l'article Extremal curves in Wasserstein space Giovanni Conforti, Michele Pavon

Mikhail Kumskov
Détails de l'article A Riemanian Approach to Blob Detection in Manifold-Valued Images Aleksei Shestov, Mikhail Kumskov

Mohammad Hasan Shahid
Détails de l'article Classif ication Of Totally Umbilical CR-Statistical Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid
Détails de l'article Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid, Mohammed Jamali

Mohammed Jamali
Détails de l'article Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid, Mohammed Jamali

Mohd Aquib
Détails de l'article Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid, Mohammed Jamali

Nicolas Le Bihan
Détails de l'article Density estimation for Compound Cox processes on hyperspheres Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton
Détails de l'article Riemannian Gaussian distributions on the space of positive-de nite quaternion matrices Salem Said, Nicolas Le Bihan, Jonathan H. Manton

Nicolas Papadakis
Détails de l'article Regularized Barycenters in the Wasserstein Space Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis

Nina Miolane
Détails de l'article Women, diversity, science and Unconscious Bias Nina Miolane

Noël Challamel
Détails de l'article Geometric Degree of Non Conservativeness Jean Lerbet, Noël Challamel, François Nicot, Félix Darve

Olivier Marre
Détails de l'article Pairwise Ising model analysis of human cortical neuron recordings Trang-Anh Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari

Olivier Rioul
Détails de l'article Optimal Transport to Rényi Entropies Olivier Rioul

Paola Siri
Détails de l'article On Mixture and Exponential Connection by Open Arcs Marina Santacroce, Paola Siri, Barbara Trivellato

Paolo Zanini
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten

Pascal Morin
Détails de l'article Uniform observability of linear time-varying systems and application to robotics problems Pascal Morin, Alexandre Eudes, Glauco Scandaroli

Patrice Bertail
Détails de l'article Empirical ϕ*-Divergence Minimizers for Hadamard Differentiable Functionals Patrice Bertail, Emmanuelle Gautherat, Hugo Harari-Kermadec

Pedro Pablo Perez-Velasco
Détails de l'article Quantification of Model Risk: Data Uncertainty Zuzana Krajcovicova, Pedro Pablo Perez-Velasco, Carlos Vázquez

Philippe Jacquet
Détails de l'article Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals Philippe Jacquet, Dalia Popescu

Philippe Martin
Détails de l'article Global exponential attitude and gyro bias estimation from vector measurements Philippe Martin, Ioannis Sarras

Philippe Regnault
Détails de l'article Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains Philippe Regnault, Valérie Girardin, Loïck Lhote

Pierre Carré
Détails de l'article Differential Geometry applied to Acoustics Non Linear Propagation in Reissner Beams : an integrable system? Frédéric Hélein, Joël Bensoam, Pierre Carré

Pierre Roussillon
Détails de l'article Surface Matching Using Normal Cycles Pierre Roussillon, Joan Alexis Glaunès

Pierre-Antoine Absil
Détails de l'article Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2? Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil

Pierre-Yves Gousenbourger
Détails de l'article Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2? Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil

Radmila Pribić
Détails de l'article Information Distances in Stochastic Resolution Analysis Radmila Pribić

Reiner Lenz
Détails de l'article Positive Signal Spaces and the Mehler-Fock Transform Reiner Lenz

Remco Duits
Détails de l'article Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle Erik Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov

Rémy Boyer
Détails de l'article On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices Rémy Boyer, Frank Nielsen

Richard Nock
Détails de l'article Bregman divergences from comparative convexity Frank Nielsen, Richard Nock

Rodolphe Sepulchre
Détails de l'article Affine-Invariant Orders on the Set of Positive-Defi nite Matrices Cyrus Mostajeran, Rodolphe Sepulchre

Ronnel Boettcher
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Ronny Bergmann
Détails de l'article Nonlocal Inpainting of Manifold-valued Data on Finite Weighted Graphs Ronny Bergmann, Daniel Tenbrinck

Rui F. Vigelis
Détails de l'article Normalization and ϕ-function: definition and consequences Luiza Helena Félix de Andrade, Rui F. Vigelis, Francisca L. J. Vieira, Charles Casimiro Cavalcante
Détails de l'article On the existence of paths connecting probability distributions Rui F. Vigelis, Luiza Helena Félix de Andrade, Charles Casimiro Cavalcante

Ryo Karakida
Détails de l'article Information Geometry of Wasserstein Divergence Ryo Karakida, Shun-Ichi Amari

Salem Said
Détails de l'article Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu
Détails de l'article Maximum likelihood estimators on manifolds Hatem Hajri, Salem Said, Yannick Berthoumieu
Détails de l'article Riemannian Gaussian distributions on the space of positive-de nite quaternion matrices Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten
Détails de l'article Warped metrics for location-scale models Salem Said, Yannick Berthoumieu

Sarang Joshi
Détails de l'article Diffeomorphic random sampling using optimal information transport Martin Bauer, Sarang Joshi, Klas Modin

Sergey Grigorian
Détails de l'article (Para-)Holomorphic Connections for Information Geometry Sergey Grigorian, Jun Zhang

Shinto Eguchi
Détails de l'article Information Geometry of Predictor Functions in a Regression Model Shinto Eguchi, Katsuhiro Omae

Shun-Ichi Amari
Détails de l'article Information Geometry of Wasserstein Divergence Ryo Karakida, Shun-Ichi Amari

Silvère Bonnabel
Détails de l'article Drone Tracking Using an Innovative UKF Marion Pilté, Silvère Bonnabel, Frédéric Barbaresco
Détails de l'article GSI'17 Opening session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article GSI'17-Closing session Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
Détails de l'article Particle observers for contracting dynamical systems Silvère Bonnabel, Jean-Jacques Slotine

Simon Apers
Détails de l'article Bounding the convergence time of local probabilistic evolution Simon Apers, Alain Sarlette, Francesco Ticozzi

Stanley Durrleman
Détails de l'article Parallel transport in shape analysis: a scalable numerical scheme Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman

Stefan Sommer
Détails de l'article Stochastic Development Regression using Method of Moments Line Kühnel, Stefan Sommer

Stephan Huckemann
Détails de l'article Applying Backward Nested Subspace Inference to Tori and Polyspheres Benjamin Eltzner, Stephan Huckemann
Détails de l'article Bootstrapping Descriptors for Non-Euclidean Data Benjamin Eltzner, Stephan Huckemann

Stéphane Marchand-Maillet
Détails de l'article k-Means Clustering with Hölder divergences Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet

Stephane Puechmorel
Détails de l'article Von Mises-like probability density functions on surfaces Florence Nicol, Stephane Puechmorel

Subramanian Ramamoorthy
Détails de l'article Multi-Scale Activity Estimation with Spatial Abstractions Majd Hawasly, Florian T. Pokorny, Subramanian Ramamoorthy

Sylvain Chevallier
Détails de l'article Inductive means and sequences applied to online classi cation of EEG Estelle Massart, Sylvain Chevallier

Sølve Eidnes
Détails de l'article Shape analysis on Lie groups and homogeneous spaces Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding

Søren Hauberg
Détails de l'article Maximum likelihood estimation of Riemannian metrics from Euclidean data Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg

Tatsuaki Wada
Détails de l'article A sequential structure of statistical manifolds on deformed exponential family Hiroshi Matsuzoe, Antonio M. Scarfone, Tatsuaki Wada

Thomas Hélie
Détails de l'article Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation Thomas Hélie, Fabrice Silva

Thomas Hotz
Détails de l'article Constructing Universal, Non-Asymptotic Con dence Sets for Intrinsic Means on the Circle Matthias Glock, Thomas Hotz

Tianci Liu
Détails de l'article Joint geometric and photometric visual tracking based on Lie group Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu

Tomonari Sei
Détails de l'article Coordinate-wise transformation and Stein-type densities Tomonari Sei

Trang-Anh Nghiem
Détails de l'article Pairwise Ising model analysis of human cortical neuron recordings Trang-Anh Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari

Ulisse Ferrari
Détails de l'article Pairwise Ising model analysis of human cortical neuron recordings Trang-Anh Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari

Valérie Archambault
Détails de l'article Gender Diversity in industry : Overview of the situation, motivation and areas for action Valérie Archambault

Valérie Girardin
Détails de l'article Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains Philippe Regnault, Valérie Girardin, Loïck Lhote

Vibhor Kumar
Détails de l'article Prevalence and recoverability of syntactic parameters in sparse distributed memories Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli

Vitaly Mikheev
Détails de l'article Method of orbits of co-associated representation in thermodynamics of the Lie non-compact groups Vitaly Mikheev

Wan Ainun Mior Othman
Détails de l'article Classif ication Of Totally Umbilical CR-Statistical Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid

Wolfgang Stummer
Détails de l'article 3D insights to some divergences for robust statistics and machine learning Birgit Roensch, Wolfgang Stummer
Détails de l'article Some new exibilizations of Bregman divergences and their asymptotics Wolfgang Stummer, Anna-Lena Kißlinger

Xavier Pennec
Détails de l'article Sample-limited Lp Barycentric Subspace Analysis on Constant Curvature Spaces Xavier Pennec

Yann Ollivier
Détails de l'article Natural Langevin Dynamics for Neural Networks Gaétan Marceau-Caron, Yann Ollivier

Yannick Berthoumieu
Détails de l'article Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu
Détails de l'article Maximum likelihood estimators on manifolds Hatem Hajri, Salem Said, Yannick Berthoumieu
Détails de l'article Riemannian Online Algorithms for Estimating Mixture Model Parameters Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten
Détails de l'article Warped metrics for location-scale models Salem Said, Yannick Berthoumieu

Young Jin Suh
Détails de l'article Real hypersurfaces in the complex quadric with certain condition of normal Jacobi operator Imsoon Jeong, Gyu Jong Kim, Young Jin Suh

Yunan Yang
Détails de l'article Analysis of Optimal Transport Related Mis fit Functions in Seismic Imaging Yunan Yang, Björn Engquist

Yunpeng Liu
Détails de l'article Joint geometric and photometric visual tracking based on Lie group Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu

Yuri Sachkov
Détails de l'article Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle Erik Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov

Zelin Shi
Détails de l'article Joint geometric and photometric visual tracking based on Lie group Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu

Zuzana Krajcovicova
Détails de l'article Quantification of Model Risk: Data Uncertainty Zuzana Krajcovicova, Pedro Pablo Perez-Velasco, Carlos Vázquez

Bibliographie

Differential Geometrical Theory of Statistics Edited by Frédéric Barbaresco and Frank Nielsen
Image de Differential Geometrical Theory of Statistics
Auteur:
Éditeur: Mdpi AG (2017)
Reliure: Broché, 472 pages
This Special Issue "Differential Geometrical Theor y of Statistics" collates selected invited and contributed talks presented during the conference GSI'15 on "Geometric Science of Information" which was held at the Ecole Polytechnique, Paris-Saclay Campus, France, in October 2015 (Conference web site: http://www.see.asso.fr/gsi2015).
www.mdpi.com/journal/entropy/special_issues/entropy-statistics
ISBN 978-3-03842-424-6 (print) • ISBN 978-3-03842-425-3 (electronic)
 
Computational Information Geometry: For Image and Signal Processing
Image de Computational Information Geometry: For Image and Signal Processing
Auteur:
Éditeur: Springer International Publishing AG (2016)
Reliure: Relié, 299 pages
Information, Entropy and their Geometric Structures
information_entropy_and_their_geometric_structures.png
Author: Frédéric Barbaresco, Ali Mohammad-Djafari
Publisher: MDPI (2015), Binding: Paperback, 542 pages
Information Geometry
information_geometry.png
Editor-in-Chief: Shinto Eguchi
Co-Editors: N. Ay; F. Nielsen; J. Zhang

Nouvelles

GSI’17 « Geometric Science of Information » November 7th to 9th, Paris - France CALL FOR PAPERS
Dear sir,
 

Following the success of GSI’13 & GSI’15, the organizing committe is honored to anounce GSI  2017 to be hosted at Mines ParisTech from November 7th to 9th.

We will welcome mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.

It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Geometric Science of Information and their Applications”.

Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Topology/Machine/Deep Learning, Artificial Intelligence, Speech/sound recognition, natural language treatment, Big Data Analytics, etc., which are substantially relevant for industry.

The Conference will be therefore held in areas of priority/focused themes and topics of mutual interest with the aim to:

Provide an overview on the most recent state-of-the-art Exchange mathematical information/knowledge/expertise in the area Identify research areas/applications for future collaboration Identify academic & industry labs expertise for further collaboration

GSI 2017 will be an interdisciplinary event and will unify skills from Geometry, Probability and Information Theory.

Proceedings are published in Springer's Lecture Note in Computer Science (LNCS) series.  

 
IMPORTANT DATES:
  • April 3rd 2017 : Deadline for 8 pages SPRINGER LNCS format
  • June 12th 2017 : Notification of acceptance
  • July 31st 2017: Final paper submission

Paper templates (Latex, Word) and Guideline on GSI’17 website at “Author Instructions” www.gsi2017.org

 

The following Special Sessions have been identified but will not be limited to:

  • Statistics on non-linear data
  • Shape Space
  • Optimal Transport & Applications I (Data Science and Economics)
  • Optimal Transport & Applications II (Signal and Image Processing)
  • Topology and statistical learning
  • Statistical Manifold & Hessian Information Geometry
  • Information Structure in Neuroscience
  • Geometric Robotics & Tracking
  • Geometric Mechanics & Robotics
  • Stochastic Geometric Mechanics & Lie Group Thermodynamics
  • Probability on Riemannian Manifolds
  • Divergence Geometry
  • Geometric Deep Learning
  • First and second-order Optimization on Statistical Manifolds
  • Non-parametric Information Geometry
  • Geometry of quantum states
  • Optimization on Manifold
  • Computational Information Geometry
  • Probability Density Estimation
  • Geometry of Tensor-Valued Data
  • Geometry and Inverse Problems
  • Geometry in Vision, Learning and Dynamical Systems
  • Lie Groups and Wavelets
  • Geometry of metric measure spaces
  • Geometry and Telecom
  • Geodesic Methods with Constraints
  • Applications of Distance Geometry

3 keynote speakers’ talks will open each day (Prof. A. Trouvé, B. Tumpach & M. Girolami).  An Invited Honorary speaker (Prof. J.M. Bismut) will give a talk at the end of 1st day and a Guest Honorary speaker (Prof. D. Bennequin) will close the conference.

Invited Honorary Speaker

  • Jean-Michel Bismut (Paris-Saclay University) - The hypoelliptic Laplacian

Guest Honorary Speaker

  • Daniel Bennequin (Paris Diderot University) - Geometry and Vestibular Information

Keynote Speakers

  • Alain Trouvé (ENS Cachan) - Hamiltonian Modeling for Shape Evolution and Statistical Modeling of Shapes Variability
  • Barbara Tumpach (Lille University) - Riemannian Metrics on Shape Spaces of Curves and Surfaces
  • Mark Girolami (Imperial College London) - Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
 
GSI’17 Organizing committee
GSI2017 Web site
Jean-Louis Koszul passed away
Orbituary: Profound sadness on the passing of Professeur Jean-Louis Koszul (1921-2018+), Friday January 12th 2018, Geometer, Henri Cartan's PhD student, member of Bourbaki, who honored us with his presence at GSI'13 (https://www.see.asso.fr/gsi2013) for Hirohiko Shima keynote on Geometry of Hessian Structures related to Koszul forms and Koszul-Vinberg Characteristic Function.
Jean-Louis Koszul et les structures élémentaires de la Géométrie de l’Information
GSI’17 Best Papers sponsored by SPRINGER
The SEE GSIs' conferences bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis. It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
 
GSI’17 Best Student Paper sponsored by SPRINGER
Finalists are:
  • Alice Le Brigant, Marc Arnaudon, Optimal Matching Between Curves in a Manifold
  • Kathrin Welker, Optimization in the Space of Smooth Shapes
The Winner is:
Kathrin Welker, Department of Mathematics, Trier University, Germany
 
GSI’17 Best paper sponsored by SPRINGER
The Winners are:
Gaétan Marceau-Caron and Yann Ollivier, Natural Langevin Dynamics for Neural Networks
GSI2017 web site
Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
Marcel Berger greatly contributed to mathematics, through his own publications, for example on holonomy groups, symmetric spaces, curvature pinching and the sphere theorem, spectral geometry or systolic geometry. His influence goes far beyond his research papers. His books and surveys have inspired not only his students, but a much broader audience. Important features of Marcel Berger's mathematical heritage are also his seminar and his influence on the round tables organized by his friend Arthur L. Besse. Marcel Berger's Riemannian geometry seminar held at the Universite Paris VII in the nineteen-seventies and eighties, hosted lectures by both reputable mathematicians and young researchers. For the participants, it was a unique place for lively and informal mathematical discussions and exchanges, as well as inspiration.
Marcel BERGER (14 april 1927 - 15 october 2016)
Marcel Berger greatly contributed to mathematics, through his own publications, for example on holonomy groups, symmetric spaces, curvature pinching and the sphere theorem, spectral geometry or systolic geometry. His influence goes far beyond his research papers. His books and surveys have inspired not only his students, but a much broader audience. Important features of Marcel Berger's mathematical heritage are also his seminar and his influence on the round tables organized by his friend Arthur L. Besse. Marcel Berger's Riemannian geometry seminar held at the Universite Paris VII in the nineteen-seventies and eighties, hosted lectures by both reputable mathematicians and young researchers. For the participants, it was a unique place for lively and informal mathematical discussions and exchanges, as well as inspiration.
IHES event:
Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
 
Marcel Berger is author of these Books :
 
Marcel Berger was a friend of Arthur L. Besse:

Media

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GSI2017 Group Photo
GSI2017 Group Photo

Lieu

Mines ParisTech, Paris (France)

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« Se défier du ton d’assurance qu’il est si facile de prendre et si dangereux d’écouter »
Charles Coquebert, Journal des mines n°1, Vendémiaire An III (septembre 1794)
 
60 Boulevard Saint-Michel, 75006 Paris
 
http://www.mines-paristech.fr/Accueil/
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