### (2015) GSI2015

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

*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*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*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*

**Pontryagin calculus in Riemannian geometry**Danielle Fortune, Francois Dubois, Juan Antonio Rojas Quintero

*GSI2015*

**Optimal mass transport over bridges**Michele Pavon, Tryphon Georgiou, Yonxin Chen

*GSI2015*

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

*GSI2015*

**Characterization and Estimation of the Variations of a Random Convex Set by it's Mean $n$-Variogram : Application to the Boolean Model**Jean-Charles Pinoli, Johan Debayle, Saïd Rahmani

*GSI2015*

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

*GSI2015*

Document accessible sous conditions - vous devez vous

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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.

**Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation**Jesús Angulo

*GSI2015*

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

*GSI2015*