### (2015) GSI2015

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

*GSI2015*

**Asymptotic properties of random polytopes**Pierre Calka

*GSI2015*

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

*GSI2015*

**Affine-invariant Riemannian Distance Between Infinite-dimensional Covariance Operators**Minh Ha Quang

*GSI2015*

**Nonlinear operators on graphs via stacks**Jesús Angulo, Santiago Velasco-Forero

*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*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

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

*GSI2015*

**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*

**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.

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

*GSI2015*

**The Pontryagin Forms of Hessian Manifolds**John Armstrong, Shun-Ichi Amari

*GSI2015*

**From Euclidean to Riemannian Means Information Geometry for SSVEP Classification**Emmanuel Kalunga, Eric Monacelli, Karim Djouani, Quentin Barthélemy, Sylvain Chevallier, Yskandar Hamam

*GSI2015*

**A generalization of independence and multivariate Student's t-distributions**Hiroshi Matsuzoe, Monta Sakamoto

*GSI2015*

**A sub-Riemannian modular approach for diffeomorphic deformations**Alain Trouvé, Barbara Gris, Stanley Durrleman

*GSI2015*

**Quantization of hyperspectral image manifold using probabilistic distances**Gianni Franchi, Jesús Angulo

*GSI2015*

**PDE Constrained Shape Optimization as Optimization on Shape Manifolds**Kathrin Welker, Martin Siebenborn, Volker Schulz

*GSI2015*

**Rolling Symmetric Spaces**Fátima Leite, Krzysztof Krakowski, Luís Machado

*GSI2015*

**Second-order Optimization over the Multivariate Gaussian Distribution**Giovanni Pistone, Luigi Malagò

*GSI2015*

**Invariant geometric structures on statistical models**Hong Van Le, Jürgen Jost, Lorenz Schwachhöfer, Nihat Ay

*GSI2015*

**Generalized Mutual-Information based independence tests**Amor Keziou, Philippe Regnault

*GSI2015*

Document accessible sous conditions - vous devez vous

- Accès libre pour les ayants-droit

__connecter__ou vous__enregistrer__pour accéder à ou acquérir ce document.- Accès libre pour les ayants-droit

We derive independence tests by means of dependence measures thresholding in a semiparametric context. Precisely, estimates of mutual information associated to ϕ-divergences are derived through the dual representations of ϕ-divergences. The asymptotic properties of the estimates are established, including consistency, asymptotic distribution and large deviations principle. The related tests of independence are compared through their relative asymptotic Bahadur efficiency and numerical simulations.

**Asymmetric Topologies on Statistical Manifolds**Roman Belavkin

*GSI2015*

**Matrix realization of a homogeneous cone**Hideyuki Ishi

*GSI2015*

**Group Theoretical Study on Geodesics for the Elliptical Models**Hiroto Inoue

*GSI2015*

**Enlargement, geodesics, and collectives**Eric Justh, P. S. Krishnaprasad

*GSI2015*

**The information geometry of mirror descent**Garvesh Raskutti, Sayan Mukherjee

*GSI2015*