### (2015) GSI2015

**From Geometry and Physics to Computational Linguistics**Matilde Marcolli

*GSI2015*

**A two-color interacting random balls model for co-localization analysis of proteins**Charles Kervrann, Frederic Lavancier

*GSI2015*

**New metric and connections in statistical manifolds**Charles Casimiro Cavalcante, David de Souza, Rui F. Vigelis

*GSI2015*

**Computing Boundaries in Local Mixture Models**Paul Marriott, Vahed Maroufy

*GSI2015*

**Variational Bayesian Approximation method for Classification and Clustering with a mixture of Studen**Ali Mohammad-Djafari

*GSI2015*

**Transformations and Coupling Relations for Affine Connections**James Tao, Jun Zhang

*GSI2015*

**Weakly Correlated Sparse Components with Nearly Orthonormal Loadings**Matthieu Genicot, Nickolay Trendafilov, Wen Huang

*GSI2015*

**Barycenter in Wasserstein space existence and consistency**Jean-Michel Loubes, Thibaut Le Gouic

*GSI2015*

**An Information Geometry Problem in Mathematical Finance**Imre Csiszár, Michel Broniatowski, Thomas Breuer

*GSI2015*

**Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities**Martin Bauer, Martins Bruveris, Peter Michor

*GSI2015*

**New model search for nonlinear recursive models, regressions and autoregressions**Anna-Lena Kißlinger, Wolfgang Stummer

*GSI2015*

**Entropy minimizing curves with application to automated flight path design**Florence Nicol, Stephane Puechmorel

*GSI2015*

**Optimal Transport, Independance versus Indetermination duality, impact on a new Copula Design**Benoit Huyot, Jean-François Marcotorchino, Yves Mabiala

*GSI2015*

**Deblurring and Recovering Conformational States in 3D Single Particle Electron**Bijan Afsari, Gregory S. Chirikjian

*GSI2015*

**Heights of toric varieties, integration over polytopes and entropy**José Ignacio Burgos Gil, Martin Sombra, Patrice Philippon

*GSI2015*

**Dimension Reduction on Polyspheres with Application to Skeletal Representations**Benjamin Eltzner, Stephan Huckemann, Sungkyu Jung

*GSI2015*

**Bag-of-components an online algorithm for batch learning of mixture models**Frank Nielsen, Olivier Schwander

*GSI2015*

**Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics**Frédéric Barbaresco

*GSI2015*

**Differential geometric properties of textile plot**Tomonari Sei, Ushio Tanaka

*GSI2015*

**Asymptotics of superposition of point processes**Aurélien Vasseur, Laurent Decreusefond

*GSI2015*

**Curvatures of Statistical Structures**Barbara Opozda

*GSI2015*

**Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry**Frank Nielsen, Gaëtan Hadjeres

*GSI2015*

**Asymptotic properties of random polytopes**Pierre Calka

*GSI2015*

**Online k-MLE for mixture modeling with exponential families**Christophe Saint-Jean, Frank Nielsen

*GSI2015*

**Fitting Smooth Paths on Riemannian Manifolds - Endometrial Surface**Antoine Arnould, Chafik Samir, Michel Canis, Pierre-Antoine Absil, Pierre-Yves Gousenbourger

*GSI2015*

**Multivariate L-moments based on transports**Alexis Decurninge

*GSI2015*

**Multivariate divergences with application in multisample density ratio models**Amor Keziou

*GSI2015*

Document accessible sous conditions - vous devez vous

- Accès libre pour les ayants-droit

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We introduce what we will call multivariate divergences between K, K ≥ 1, signed finite measures (Q1, . . . , Q K ) and a given reference probability measure P on a σ-field (X,B), extending the well known divergences between two measures, a signed finite measure Q1 and a given probability distribution P. We investigate the Fenchel duality theory for the introduced multivariate divergences viewed as convex functionals on well chosen topological vector spaces of signed finite measures. We obtain new dual representations of these criteria, which we will use to define new family of estimates and test statistics with multiple samples under multiple semiparametric density ratio models. This family contains the estimate and test statistic obtained through empirical likelihood. Moreover, the present approach allows obtaining the asymptotic properties of the estimates and test statistics both under the model and under misspecification. This leads to accurate approximations of the power function for any used criterion, including the empirical likelihood one, which is of its own interest. Moreover, the proposed multivariate divergences can be used, in the context of multiple samples in density ratio models, to define new criteria for model selection and multi-group classification.

**Reparameterization invariant metric on the space of curves**Alice Le Brigant, Frédéric Barbaresco, Marc Arnaudon

*GSI2015*

**Random Pairwise Gossip on CAT(k) Metric Spaces**Anass Bellachehab, Jérémie Jakubowicz

*GSI2015*

**Kernel Density Estimation on Symmetric Spaces**Dena Asta

*GSI2015*