On Piercing Sets of Objects. - Matthew J. Katz; Frank Nielsen (SCG, 1996)

Output-Sensitive Peeling of Convex and Maximal Layers. - Frank Nielsen (Inf. Process. Lett., 1996)

Algorithmes géométriques adaptatifs. (Output-sensitive Computational Geometry). - Frank Nielsen (1996)

Grouping and Querying: A Paradigm to Get Output-Sensitive Algorithms. - Frank Nielsen (JCDCG, 1998)

Randomized Adaptive Algorithms for Mosaicing Systems. - Frank Nielsen (MVA, 1998)

Output-Sensitive Convex Hull Algorithms of Planar Convex Objects. - Frank Nielsen; Mariette Yvinec (Int. J. Comput. Geom. Appl., 1998)

Projecting computer graphics on moving surfaces: a simple calibration and tracking method. - Claudio S. Pinhanez; Frank Nielsen; Kim Binsted (SIGGRAPH Abstracts and Applications, 1999)

Shooter Location through Piercing Sets. - Matthew J. Katz; Frank Nielsen; Michael Segal 001 (EuroCG, 2000)

Maintenance of a Percing Set for Intervals with Applications. - Matthew J. Katz; Frank Nielsen; Michael Segal 001 (ISAAC, 2000)

On the Precision of Textures. - Frank Nielsen; Nicolas de Mauroy (MVA, 2000)

Dynamic data structures for fat objects and their applications. - Alon Efrat; Matthew J. Katz; Frank Nielsen; Micha Sharir (Comput. Geom., 2000)

Fast stabbing of boxes in high dimensions. - Frank Nielsen (Theor. Comput. Sci., 2000)

HYPER MASK - Projecting a Virtual Face onto a Moving Real Object. - Shigeo Morishima; Tatsuo Yotsukura; Frank Nielsen; Kim Binsted; Claudio S. Pinhanez (Eurographics (Short Presentations), 2001)

Combinatorial optimization algorithms for radio network planning. - Patrice Calégari; Frédéric Guidec; Pierre Kuonen; Frank Nielsen (Theor. Comput. Sci., 2001)

On point covers of c-oriented polygons. - Frank Nielsen (Theor. Comput. Sci., 2001)

High Resolution Full Spherical Videos. - Frank Nielsen (ITCC, 2002)

HyperMask - projecting a talking head onto a real object. - Tatsuo Yotsukura; Shigeo Morishima; Frank Nielsen; Kim Binsted; Claudio S. Pinhanez (Vis. Comput., 2002)

On Region Merging: The Statistical Soundness of Fast Sorting, with Applications. - Frank Nielsen; Richard Nock (CVPR (2), 2003)

Plenoptic path and its applications. - Frank Nielsen (ICIP (1), 2003)

A Sketching Interface for Modeling the Internal Structures of 3D Shapes. - Shigeru Owada; Frank Nielsen; Kazuo Nakazawa; Takeo Igarashi (Smart Graphics, 2003)

Maintenance of a Piercing Set for Intervals with Applications. - Matthew J. Katz; Frank Nielsen; Michael Segal 001 (Algorithmica, 2003)

Enumeration of Contour Correspondence. - Shigeru Owada; Yoshihisa Shinagawa; Frank Nielsen (Int. J. Image Graph., 2003)

Approximating smallest enclosing disks. - Frank Nielsen; Richard Nock (CCCG, 2004)

Grouping with Bias Revisited. - Richard Nock; Frank Nielsen (CVPR (2), 2004)

Approximating Smallest Enclosing Balls. - Frank Nielsen; Richard Nock (ICCSA (3), 2004)

Improving Clustering Algorithms through Constrained Convex Optimization. - Richard Nock; Frank Nielsen (ICPR (4), 2004)

An Abstract Weighting Framework for Clustering Algorithms. - Richard Nock; Frank Nielsen (SDM, 2004)

Statistical Region Merging. - Richard Nock; Frank Nielsen (IEEE Trans. Pattern Anal. Mach. Intell., 2004)

On domain-partitioning induction criteria: worst-case bounds for the worst-case based. - Richard Nock; Frank Nielsen (Theor. Comput. Sci., 2004)

Volumetric illustration: designing 3D models with internal textures. - Shigeru Owada; Frank Nielsen; Makoto Okabe; Takeo Igarashi (ACM Trans. Graph., 2004)

Interactive Pinpoint Image Object Removal. - Frank Nielsen; Richard Nock (CVPR (2), 2005)

Fitting the Smallest Enclosing Bregman Ball. - Richard Nock; Frank Nielsen (ECML, 2005)

A Visual Interactive Framework for Formal Derivation. - Paul Agron; Leo Bachmair; Frank Nielsen (International Conference on Computational Science (1), 2005)

Interactive Point-and-Click Segmentation for Object Removal in Digital Images. - Frank Nielsen; Richard Nock (ICCV-HCI, 2005)

ClickRemoval: interactive pinpoint image object removal. - Frank Nielsen; Richard Nock (ACM Multimedia, 2005)

Volume catcher. - Shigeru Owada; Frank Nielsen; Takeo Igarashi (SI3D, 2005)

A fast deterministic smallest enclosing disk approximation algorithm. - Frank Nielsen; Richard Nock (Inf. Process. Lett., 2005)

Semi-supervised statistical region refinement for color image segmentation. - Richard Nock; Frank Nielsen (Pattern Recognit., 2005)

Surround video: a multihead camera approach. - Frank Nielsen (Vis. Comput., 2005)

On approximating the smallest enclosing Bregman Balls. - Frank Nielsen; Richard Nock (SCG, 2006)

Soft Uncoupling of Markov Chains for Permeable Language Distinction: A New Algorithm. - Richard Nock; Pascal Vaillant; Frank Nielsen; Claudia Henry (ECAI, 2006)

Autoframing: A Recommendation System for Detecting Undesirable Elements and Cropping Automatically Photos. - Frank Nielsen; Shigeru Owada; Yuichi Hasegawa (ICME, 2006)

Copy-Paste Synthesis of 3D Geometry with Repetitive Patterns. - Shigeru Owada; Frank Nielsen; Takeo Igarashi (Smart Graphics, 2006)

On Weighting Clustering. - Richard Nock; Frank Nielsen (IEEE Trans. Pattern Anal. Mach. Intell., 2006)

Visualizing bregman voronoi diagrams. - Frank Nielsen; Jean-Daniel Boissonnat; Richard Nock (SCG, 2007)

Real Boosting a la Carte with an Application to Boosting Oblique Decision Tree. - Claudia Henry; Richard Nock; Frank Nielsen (IJCAI, 2007)

Fast Graph Segmentation Based on Statistical Aggregation Phenomena. - Frank Nielsen; Richard Nock (MVA, 2007)

Customized Slider Bars for Adjusting Multi-dimension Parameter Sets. - Shigeru Owada; Makoto Okabe; Takeo Igarashi; Frank Nielsen; Norimichi Tsumura (Smart Graphics, 2007)

A Real generalization of discrete AdaBoost. - Richard Nock; Frank Nielsen (Artif. Intell., 2007)

The Digital Chameleon Principle: Computing Invisibility by Rendering Transparency. - Frank Nielsen (IEEE Computer Graphics and Applications, 2007)

Bregman Voronoi Diagrams: Properties, Algorithms and Applications - Frank Nielsen; Jean-Daniel Boissonnat; Richard Nock (CoRR, 2007)

On the Centroids of Symmetrized Bregman Divergences - Frank Nielsen; Richard Nock (CoRR, 2007)

Self-improved gaps almost everywhere for the agnostic approximation of monomials. - Richard Nock; Frank Nielsen (Theor. Comput. Sci., 2007)

Abstracts of the LIX Fall Colloquium 2008: Emerging Trends in Visual Computing. - Frank Nielsen (ETVC, 2008)

Clustering Multivariate Normal Distributions. - Frank Nielsen; Richard Nock (ETVC, 2008)

Intrinsic Geometries in Learning. - Richard Nock; Frank Nielsen (ETVC, 2008)

Real-Time Spherical Videos from a Fast Rotating Camera. - Frank Nielsen; Alexis André; Shigeru Tajima (ICIAR, 2008)

Bregman sided and symmetrized centroids. - Frank Nielsen; Richard Nock (ICPR, 2008)

On the efficient minimization of convex surrogates in supervised learning. - Richard Nock; Frank Nielsen (ICPR, 2008)

Projection plane processing for sketch-based volume segmentation. - Shigeru Owada; Frank Nielsen; Takeo Igarashi; Ryo Haraguchi; Kazuo Nakazawa (ISBI, 2008)

Quantum Voronoi diagrams and Holevo channel capacity for 1-qubit quantum states. - Frank Nielsen; Richard Nock (ISIT, 2008)

On the Efficient Minimization of Classification Calibrated Surrogates. - Richard Nock; Frank Nielsen (NIPS, 2008)

Staring at Economic Aggregators through Information Lenses - Richard Nock; Nicolas Sanz; Fred Celimene; Frank Nielsen (CoRR, 2008)

On the smallest enclosing information disk. - Frank Nielsen; Richard Nock (Inf. Process. Lett., 2008)

Levels of Details for Gaussian Mixture Models. - Vincent Garcia; Frank Nielsen; Richard Nock (ACCV (2), 2009)

Simplifying Gaussian mixture models via entropic quantization. - Frank Nielsen; Vincent Garcia; Richard Nock (EUSIPCO, 2009)

Bregman vantage point trees for efficient nearest Neighbor Queries. - Frank Nielsen; Paolo Piro; Michel Barlaud (ICME, 2009)

The Dual Voronoi Diagrams with Respect to Representational Bregman Divergences. - Frank Nielsen; Richard Nock (ISVD, 2009)

Accuracy of distance metric learning algorithms. - Frank Nielsen; Aurélien Sérandour (KDD Workshop on Data Mining using Matrices and Tensors, 2009)

Searching High-Dimensional Neighbours: CPU-Based Tailored Data-Structures Versus GPU-Based Brute-Force Method. - Vincent Garcia; Frank Nielsen (MIRAGE, 2009)

Technical opinion - Steering self-learning distance algorithms. - Frank Nielsen (Commun. ACM, 2009)

Information geometries and Microeconomic Theories - Richard Nock; Brice Magdalou; Nicolas Sanz; Eric Briys; Fred Celimene; Frank Nielsen (CoRR, 2009)

Statistical exponential families: A digest with flash cards - Frank Nielsen; Vincent Garcia (CoRR, 2009)

Approximating Smallest Enclosing Balls with Applications to Machine Learning. - Frank Nielsen; Richard Nock (Int. J. Comput. Geom. Appl., 2009)

Bregman Divergences and Surrogates for Learning. - Richard Nock; Frank Nielsen (IEEE Trans. Pattern Anal. Mach. Intell., 2009)

Soft memberships for spectral clustering, with application to permeable language distinction. - Richard Nock; Pascal Vaillant; Claudia Henry; Frank Nielsen (Pattern Recognit., 2009)

Sided and symmetrized Bregman centroids. - Frank Nielsen; Richard Nock (IEEE Trans. Inf. Theory, 2009)

A Concise and Practical Introduction to Programming Algorithms in Java. - Frank Nielsen (Springer, 2009)

Multi-class Leveraged κ-NN for Image Classification. - Paolo Piro; Richard Nock; Frank Nielsen; Michel Barlaud (ACCV (3), 2010)

Total Bregman divergence and its applications to shape retrieval. - Meizhu Liu; Baba C. Vemuri; Shun-ichi Amari; Frank Nielsen (CVPR, 2010)

Texture Regimes for Entropy-Based Multiscale Image Analysis. - Sylvain Boltz; Frank Nielsen; Stefano Soatto (ECCV (3), 2010)

Hierarchical Gaussian Mixture Model. - Vincent Garcia; Frank Nielsen; Richard Nock (ICASSP, 2010)

Hyperbolic Voronoi Diagrams Made Easy. - Frank Nielsen; Richard Nock (ICCSA Workshops, 2010)

Randomized motion estimation. - Sylvain Boltz; Frank Nielsen (ICIP, 2010)

Earth Mover Distance on superpixels. - Sylvain Boltz; Frank Nielsen; Stefano Soatto (ICIP, 2010)

K-nearest neighbor search: Fast GPU-based implementations and application to high-dimensional feature matching. - Vincent Garcia; Eric Debreuve; Frank Nielsen; Michel Barlaud (ICIP, 2010)

Entropies and cross-entropies of exponential families. - Frank Nielsen; Richard Nock (ICIP, 2010)

Bhattacharyya Clustering with Applications to Mixture Simplifications. - Frank Nielsen; Sylvain Boltz; Olivier Schwander (ICPR, 2010)

Boosting Bayesian MAP Classification. - Paolo Piro; Richard Nock; Frank Nielsen; Michel Barlaud (ICPR, 2010)

Jensen-Bregman Voronoi Diagrams and Centroidal Tessellations. - Frank Nielsen; Richard Nock (ISVD, 2010)

Reranking with Contextual Dissimilarity Measures from Representational Bregman k-Means. - Olivier Schwander; Frank Nielsen (VISAPP (1), 2010)

K-NN boosting prototype learning for object classification. - Paolo Piro; Michel Barlaud; Richard Nock; Frank Nielsen (WIAMIS, 2010)

Boosting k-NN for categorization of natural scenes - Paolo Piro; Richard Nock; Frank Nielsen; Michel Barlaud (CoRR, 2010)

A family of statistical symmetric divergences based on Jensen's inequality - Frank Nielsen (CoRR, 2010)

Bregman Voronoi Diagrams. - Jean-Daniel Boissonnat; Frank Nielsen; Richard Nock (Discret. Comput. Geom., 2010)

Simplification and hierarchical representations of mixtures of exponential families. - Vincent Garcia; Frank Nielsen (Signal Process., 2010)

Video Stippling. - Thomas Houit; Frank Nielsen (ACIVS, 2011)

Non-flat clustering with alpha-divergences. - Olivier Schwander; Frank Nielsen (ICASSP, 2011)

On tracking portfolios with certainty equivalents on a generalization of Markowitz model: the Fool, the Wise and the Adaptive. - Richard Nock; Brice Magdalou; Eric Briys; Frank Nielsen (ICML, 2011)

Chernoff information of exponential families - Frank Nielsen (CoRR, 2011)

On Rényi and Tsallis entropies and divergences for exponential families - Frank Nielsen; Richard Nock (CoRR, 2011)

A closed-form expression for the Sharma-Mittal entropy of exponential families - Frank Nielsen; Richard Nock (CoRR, 2011)

Skew Jensen-Bregman Voronoi Diagrams. - Frank Nielsen; Richard Nock (Trans. Comput. Sci., 2011)

The Burbea-Rao and Bhattacharyya Centroids. - Frank Nielsen; Sylvain Boltz (IEEE Trans. Inf. Theory, 2011)

Total Bregman Divergence and Its Applications to DTI Analysis. - Baba C. Vemuri; Meizhu Liu; Shun-ichi Amari; Frank Nielsen (IEEE Trans. Medical Imaging, 2011)

K-MLE: A fast algorithm for learning statistical mixture models. - Frank Nielsen (ICASSP, 2012)

Model centroids for the simplification of Kernel Density estimators. - Olivier Schwander; Frank Nielsen (ICASSP, 2012)

Closed-form information-theoretic divergences for statistical mixtures. - Frank Nielsen (ICPR, 2012)

Jensen divergence based SPD matrix means and applications. - Frank Nielsen; Meizhu Liu; Xiaojing Ye; Baba C. Vemuri (ICPR, 2012)

k-MLE for mixtures of generalized Gaussians. - Olivier Schwander; Aurelien J. Schutz; Frank Nielsen; Yannick Berthoumieu (ICPR, 2012)

Biomedical Images Classification by Universal Nearest Neighbours Classifier Using Posterior Probability. - Roberto D'Ambrosio; Wafa Bel Haj Ali; Richard Nock; Paolo Soda; Frank Nielsen; Michel Barlaud (MLMI, 2012)

Boosting Nearest Neighbors for the Efficient Estimation of Posteriors. - Roberto D'Ambrosio; Richard Nock; Wafa Bel Haj Ali; Frank Nielsen; Michel Barlaud (ECML/PKDD (1), 2012)

Perspective dragging: quick area selection in photos. - Frank Nielsen (SIGGRAPH ASIA Posters, 2012)

The hyperbolic Voronoi diagram in arbitrary dimension - Frank Nielsen; Richard Nock (CoRR, 2012)

Boosting k-NN for Categorization of Natural Scenes. - Richard Nock; Paolo Piro; Frank Nielsen; Wafa Bel Haj Ali; Michel Barlaud (Int. J. Comput. Vis., 2012)

Leveraging k-NN for generic classification boosting. - Paolo Piro; Richard Nock; Frank Nielsen; Michel Barlaud (Neurocomputing, 2012)

Medians and means in Finsler geometry. - Marc Arnaudon; Frank Nielsen (LMS J. Comput. Math., 2012)

Shape Retrieval Using Hierarchical Total Bregman Soft Clustering. - Meizhu Liu; Baba C. Vemuri; Shun-ichi Amari; Frank Nielsen (IEEE Trans. Pattern Anal. Mach. Intell., 2012)

Consensus Region Merging for Image Segmentation. - Frank Nielsen; Richard Nock (ACPR, 2013)

Hypothesis Testing, Information Divergence and Computational Geometry. - Frank Nielsen (GSI, 2013)

A New Implementation of k-MLE for Mixture Modeling of Wishart Distributions. - Christophe Saint-Jean; Frank Nielsen (GSI, 2013)

Non-linear book manifolds: learning from associations the dynamic geometry of digital libraries. - Richard Nock; Frank Nielsen; Eric Briys (JCDL, 2013)

Perspective click-and-drag area selections in pictures. - Frank Nielsen (MVA, 2013)

Information-geometric lenses for multiple foci+contexts interfaces. - Richard Nock; Frank Nielsen (SIGGRAPH ASIA Technical Briefs, 2013)

Pattern Learning and Recognition on Statistical Manifolds: An Information-Geometric Review. - Frank Nielsen (SIMBAD, 2013)

Fast Learning of Gamma Mixture Models with k-MLE. - Olivier Schwander; Frank Nielsen (SIMBAD, 2013)

On approximating the Riemannian 1-center. - Marc Arnaudon; Frank Nielsen (Comput. Geom., 2013)

Total Jensen divergences: Definition, Properties and k-Means++ Clustering. - Frank Nielsen; Richard Nock (CoRR, 2013)

Cramer-Rao Lower Bound and Information Geometry - Frank Nielsen (CoRR, 2013)

On the symmetrical Kullback-Leibler Jeffreys centroids - Frank Nielsen (CoRR, 2013)

Logging safely in public spaces using color PINs - Frank Nielsen (CoRR, 2013)

An Information-Geometric Characterization of Chernoff Information. - Frank Nielsen (IEEE Signal Process. Lett., 2013)

Jeffreys Centroids: A Closed-Form Expression for Positive Histograms and a Guaranteed Tight Approximation for Frequency Histograms. - Frank Nielsen (IEEE Signal Process. Lett., 2013)

Visualizing hyperbolic Voronoi diagrams. - Frank Nielsen; Richard Nock (SoCG, 2014)

A note on the optimal scalar Bregman k-means clustering with an application to learning best statistical mixtures. - Frank Nielsen; Richard Nock (CoRR, 2014)

Further heuristics for $k$-means: The merge-and-split heuristic and the $(k, l)$-means. - Frank Nielsen; Richard Nock (CoRR, 2014)

Further results on the hyperbolic Voronoi diagrams. - Frank Nielsen; Richard Nock (CoRR, 2014)

On Clustering Histograms with k-Means by Using Mixed α-Divergences. - Frank Nielsen; Richard Nock; Shun-ichi Amari (Entropy, 2014)

Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means. - Frank Nielsen (Pattern Recognit. Lett., 2014)

On the Chi Square and Higher-Order Chi Distances for Approximating $f$ -Divergences. - Frank Nielsen; Richard Nock (IEEE Signal Process. Lett., 2014)

Optimal Interval Clustering: Application to Bregman Clustering and Statistical Mixture Learning. - Frank Nielsen; Richard Nock (IEEE Signal Process. Lett., 2014)

Clustering Random Walk Time Series. - Gautier Marti; Frank Nielsen; Philippe Very; Philippe Donnat (GSI, 2015)

Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry. - Frank Nielsen; Gaëtan Hadjeres (GSI, 2015)

Online k-MLE for Mixture Modeling with Exponential Families. - Christophe Saint-Jean; Frank Nielsen (GSI, 2015)

Bag-of-Components: An Online Algorithm for Batch Learning of Mixture Models. - Olivier Schwander; Frank Nielsen (GSI, 2015)

Total Jensen divergences: Definition, properties and clustering. - Frank Nielsen; Richard Nock (ICASSP, 2015)

A Proposal of a Methodological Framework with Experimental Guidelines to Investigate Clustering Stability on Financial Time Series. - Gautier Marti; Philippe Very; Philippe Donnat; Frank Nielsen (ICMLA, 2015)

HCMapper: An interactive visualization tool to compare partition-based flat clustering extracted from pairs of dendrograms. - Gautier Marti; Philippe Donnat; Frank Nielsen; Philippe Very (CoRR, 2015)

Comment partitionner automatiquement des marches aléatoires ? Avec application à la finance quantitative. - Gautier Marti; Frank Nielsen; Philippe Very; Philippe Donnat (CoRR, 2015)

Gentle Nearest Neighbors Boosting over Proper Scoring Rules. - Richard Nock; Wafa Bel Haj Ali; Roberto D'Ambrosio; Frank Nielsen; Michel Barlaud (IEEE Trans. Pattern Anal. Mach. Intell., 2015)

Optimal copula transport for clustering multivariate time series. - Gautier Marti; Frank Nielsen; Philippe Donnat (ICASSP, 2016)

Comix: Joint estimation and lightspeed comparison of mixture models. - Olivier Schwander; Stéphane Marchand-Maillet; Frank Nielsen (ICASSP, 2016)

Classification with mixtures of curved mahalanobis metrics. - Frank Nielsen; Boris Muzellec; Richard Nock (ICIP, 2016)

SSSC-AM: A unified framework for video co-segmentation by structured sparse subspace clustering with appearance and motion features. - Junlin Yao; Frank Nielsen (ICIP, 2016)

k-variates++: more pluses in the k-means++. - Richard Nock; Raphaël Canyasse; Roksana Boreli; Frank Nielsen (ICML, 2016)

Loss factorization, weakly supervised learning and label noise robustness. - Giorgio Patrini; Frank Nielsen; Richard Nock; Marcello Carioni (ICML, 2016)

Clustering Financial Time Series: How Long Is Enough?. - Gautier Marti; Sébastien Andler; Frank Nielsen; Philippe Donnat (IJCAI, 2016)

Exploring and measuring non-linear correlations: Copulas, Lightspeed Transportation and Clustering. - Gautier Marti; Sébastien Andler; Frank Nielsen; Philippe Donnat (NIPS Time Series Workshop, 2016)

Quantifying the Invariance and Robustness of Permutation-Based Indexing Schemes. - Stéphane Marchand-Maillet; Edgar Roman-Rangel; Hisham Mohamed 001; Frank Nielsen (SISAP, 2016)

Patch Matching with Polynomial Exponential Families and Projective Divergences. - Frank Nielsen; Richard Nock (SISAP, 2016)

Optimal transport vs. Fisher-Rao distance between copulas for clustering multivariate time series. - Gautier Marti; Sébastien Andler; Frank Nielsen; Philippe Donnat (SSP, 2016)

Image and Information. - Frank Nielsen (CoRR, 2016)

Large Margin Nearest Neighbor Classification using Curved Mahalanobis Distances. - Frank Nielsen; Boris Muzellec; Richard Nock (CoRR, 2016)

Fast $(1+ε)$-approximation of the Löwner extremal matrices of high-dimensional symmetric matrices. - Frank Nielsen; Richard Nock (CoRR, 2016)

A series of maximum entropy upper bounds of the differential entropy. - Frank Nielsen; Richard Nock (CoRR, 2016)

Guaranteed bounds on the Kullback-Leibler divergence of univariate mixtures using piecewise log-sum-exp inequalities. - Frank Nielsen; Ke Sun 001 (CoRR, 2016)

Relative Natural Gradient for Learning Large Complex Models. - Ke Sun 001; Frank Nielsen (CoRR, 2016)

Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities. - Frank Nielsen; Ke Sun 001 (Entropy, 2016)

Guaranteed Bounds on the Kullback-Leibler Divergence of Univariate Mixtures. - Frank Nielsen; Ke Sun 001 (IEEE Signal Process. Lett., 2016)

On Conformal Divergences and Their Population Minimizers. - Richard Nock; Frank Nielsen; Shun-ichi Amari (IEEE Trans. Inf. Theory, 2016)

Introduction to HPC with MPI for Data Science - Frank Nielsen (Springer, 2016)

Tsallis Regularized Optimal Transport and Ecological Inference. - Boris Muzellec; Richard Nock; Giorgio Patrini; Frank Nielsen (AAAI, 2017)

On Balls in a Hilbert Polygonal Geometry (Multimedia Contribution). - Frank Nielsen; Laëtitia Shao (SoCG, 2017)

On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices. - Rémy Boyer; Frank Nielsen (GSI, 2017)

k-Means Clustering with Hölder Divergences. - Frank Nielsen; Ke Sun 001; Stéphane Marchand-Maillet (GSI, 2017)

Bregman Divergences from Comparative Convexity. - Frank Nielsen; Richard Nock (GSI, 2017)

Information geometry metric for random signal detection in large random sensing systems. - Rémy Boyer; Frank Nielsen (ICASSP, 2017)

Combinatorial bounds on the α-divergence of univariate mixture models. - Frank Nielsen; Ke Sun 001 (ICASSP, 2017)

Relative Fisher Information and Natural Gradient for Learning Large Modular Models. - Ke Sun 001; Frank Nielsen (ICML, 2017)

DeepBach: a Steerable Model for Bach Chorales Generation. - Gaëtan Hadjeres; François Pachet; Frank Nielsen (ICML, 2017)

GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures. - Gaëtan Hadjeres; Frank Nielsen; François Pachet (SSCI, 2017)

Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means. - Frank Nielsen; Richard Nock (CoRR, 2017)

Clustering in Hilbert simplex geometry. - Frank Nielsen; Ke Sun 001 (CoRR, 2017)

Distribution-free Evolvability of Vector Spaces: All it takes is a Generating Set. - Richard Nock; Frank Nielsen (CoRR, 2017)

On w-mixtures: Finite convex combinations of prescribed component distributions. - Frank Nielsen; Richard Nock (CoRR, 2017)

Deep rank-based transposition-invariant distances on musical sequences. - Gaëtan Hadjeres; Frank Nielsen (CoRR, 2017)

Interactive Music Generation with Positional Constraints using Anticipation-RNNs. - Gaëtan Hadjeres; Frank Nielsen (CoRR, 2017)

A generalization of the Jensen divergence: The chord gap divergence. - Frank Nielsen (CoRR, 2017)

On Hölder Projective Divergences. - Frank Nielsen; Ke Sun 001; Stéphane Marchand-Maillet (Entropy, 2017)

MaxEnt Upper Bounds for the Differential Entropy of Univariate Continuous Distributions. - Frank Nielsen; Richard Nock (IEEE Signal Process. Lett., 2017)

Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity. - Frank Nielsen; Richard Nock (IEEE Signal Process. Lett., 2017)

On the Angular Resolution Limit Uncertainty. - Maria S. Greco; Rémy Boyer; Frank Nielsen (EUSIPCO, 2018)

The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance. - Frank Nielsen (ICASSP, 2018)

On the Geometry of Mixtures of Prescribed Distributions. - Frank Nielsen; Richard Nock (ICASSP, 2018)

Guaranteed Deterministic Bounds on the total variation Distance between univariate mixtures. - Frank Nielsen; Ke Sun 001 (MLSP, 2018)

Monte Carlo Information Geometry: The dually flat case. - Frank Nielsen; Gaëtan Hadjeres (CoRR, 2018)

Geometry and clustering with metrics derived from separable Bregman divergences. - Erika Gomes-Gonçalves; Henryk Gzyl; Frank Nielsen (CoRR, 2018)

On The Chain Rule Optimal Transport Distance. - Frank Nielsen; Ke Sun 001 (CoRR, 2018)

Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors. - Gia-Thuy Pham; Rémy Boyer; Frank Nielsen (Entropy, 2018)

Geometry and Fixed-Rate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences. - Erika Gomes-Gonçalves; Henryk Gzyl; Frank Nielsen (GSI, 2019)

The Statistical Minkowski Distances: Closed-Form Formula for Gaussian Mixture Models. - Frank Nielsen (GSI, 2019)

The Bregman Chord Divergence. - Frank Nielsen; Richard Nock (GSI, 2019)

Sinkhorn AutoEncoders. - Giorgio Patrini; Rianne van den Berg; Patrick Forré; Marcello Carioni; Samarth Bhargav 001; Max Welling; Tim Genewein; Frank Nielsen (UAI, 2019)

K-Medoids Clustering Is Solvable in Polynomial Time for a 2d Pareto Front. - Nicolas Dupin; Frank Nielsen; El-Ghazali Talbi (WCGO, 2019)

On power chi expansions of f-divergences. - Frank Nielsen; Gaëtan Hadjeres (CoRR, 2019)

On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means. - Frank Nielsen (CoRR, 2019)

On the Kullback-Leibler divergence between location-scale densities. - Frank Nielsen (CoRR, 2019)

A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions. - Frédéric Chyzak; Frank Nielsen (CoRR, 2019)

Lightlike Neuromanifolds, Occam's Razor and Deep Learning. - Ke Sun 001; Frank Nielsen (CoRR, 2019)

Planar p-center problems are solvable in polynomial time when clustering a Pareto Front. - Nicolas Dupin; Frank Nielsen; El-Ghazali Talbi (CoRR, 2019)

A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof. - Frank Nielsen; Gaëtan Hadjeres (CoRR, 2019)

On geodesic triangles with right angles in a dually flat space. - Frank Nielsen (CoRR, 2019)

Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions. - Ke Sun 001; Frank Nielsen (CoRR, 2019)

On a generalization of the Jensen-Shannon divergence. - Frank Nielsen (CoRR, 2019)

On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means. - Frank Nielsen (Entropy, 2019)

Clustering a 2d Pareto Front: P-center Problems Are Solvable in Polynomial Time. - Nicolas Dupin; Frank Nielsen; El-Ghazali Talbi (OLA, 2020)

Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences. - Frank Nielsen; Gaëtan Hadjeres (SPIGL, 2020)

A generalization of the α-divergences based on comparable and distinct weighted means. - Frank Nielsen (CoRR, 2020)

Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family. - Frank Nielsen; Richard Nock (CoRR, 2020)

A note on Onicescu's informational energy and correlation coefficient in exponential families. - Frank Nielsen (CoRR, 2020)

Hilbert geometry of the Siegel disk: The Siegel-Klein disk model. - Frank Nielsen (CoRR, 2020)

On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds. - Frank Nielsen (CoRR, 2020)

Annealed Importance Sampling with q-Paths. - Rob Brekelmans; Vaden Masrani; Thang Bui; Frank Wood; Aram Galstyan; Greg Ver Steeg; Frank Nielsen (CoRR, 2020)

Likelihood Ratio Exponential Families. - Rob Brekelmans; Frank Nielsen; Alireza Makhzani; Aram Galstyan; Greg Ver Steeg (CoRR, 2020)

On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid. - Frank Nielsen (Entropy, 2020)

On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds. - Frank Nielsen (Entropy, 2020)

The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. - Frank Nielsen (Entropy, 2020)

An Elementary Introduction to Information Geometry. - Frank Nielsen (Entropy, 2020)

Anticipation-RNN: enforcing unary constraints in sequence generation, with application to interactive music generation. - Gaëtan Hadjeres; Frank Nielsen (Neural Comput. Appl., 2020)

Classification in the Siegel Space for Vectorial Autoregressive Data. - Yann Cabanes; Frank Nielsen (GSI, 2021)

cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. - Gautier Marti; Victor Goubet; Frank Nielsen (GSI, 2021)

Computing Statistical Divergences with Sigma Points. - Frank Nielsen; Richard Nock (GSI, 2021)

Tractable structured natural-gradient descent using local parameterizations. - Wu Lin; Frank Nielsen; Mohammad Emtiyaz Khan; Mark Schmidt 001 (ICML, 2021)

q-Paths: Generalizing the geometric annealing path using power means. - Vaden Masrani; Rob Brekelmans; Thang Bui; Frank Nielsen; Aram Galstyan; Greg Ver Steeg; Frank Wood (UAI, 2021)

On information projections between multivariate elliptical and location-scale families. - Frank Nielsen (CoRR, 2021)

A note on some information-theoretic divergences between Zeta distributions. - Frank Nielsen (CoRR, 2021)

The dually flat information geometry of the mixture family of two prescribed Cauchy components. - Frank Nielsen (CoRR, 2021)

Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities. - Frank Nielsen (CoRR, 2021)

Structured second-order methods via natural gradient descent. - Wu Lin; Frank Nielsen; Mohammad Emtiyaz Khan; Mark Schmidt 001 (CoRR, 2021)

On the Kullback-Leibler divergence between discrete normal distributions. - Frank Nielsen (CoRR, 2021)

Towards Modeling and Resolving Singular Parameter Spaces using Stratifolds. - Pascal Mattia Esser; Frank Nielsen (CoRR, 2021)

On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius. - Frank Nielsen (Entropy, 2021)

Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions. - Frank Nielsen (Entropy, 2021)

q-Neurons: Neuron Activations Based on Stochastic Jackson's Derivative Operators. - Frank Nielsen; Ke Sun 001 (IEEE Trans. Neural Networks Learn. Syst., 2021)

Generalizing the Alpha-Divergences and the Oriented Kullback-Leibler Divergences with Quasi-Arithmetic Means. - Frank Nielsen (Algorithms, 2022)

The duo Fenchel-Young divergence. - Frank Nielsen (CoRR, 2022)

A note on the f-divergences between multivariate location-scale families with either prescribed scale matrices or location parameters. - Frank Nielsen; Kazuki Okamura (CoRR, 2022)

Information geometry of the Tojo-Yoshino's exponential family on the Poincaré upper plane. - Frank Nielsen; Kazuki Okamura (CoRR, 2022)

On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models. - Pascal Mattia Esser; Frank Nielsen (CoRR, 2022)

Rho-Tau Bregman Information and the Geometry of Annealing Paths. - Rob Brekelmans; Frank Nielsen (CoRR, 2022)

Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences. - Frank Nielsen (Entropy, 2022)

Revisiting Chernoff Information with Likelihood Ratio Exponential Families. - Frank Nielsen (Entropy, 2022)

Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon $ nabla $-Divergences. - Frank Nielsen (GSI (1), 2023)

On the f-Divergences Between Hyperboloid and Poincaré Distributions. - Frank Nielsen; Kazuki Okamura (GSI (1), 2023)

Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning. - Wu Lin; Valentin Duruisseaux; Melvin Leok; Frank Nielsen; Mohammad Emtiyaz Khan; Mark Schmidt 001 (ICML, 2023)

Partial K-Means with M Outliers: Mathematical Programs and Complexity Results. - Nicolas Dupin; Frank Nielsen (OLA, 2023)

Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures. - Frank Nielsen (TAG-ML, 2023)

Non-linear Embeddings in Hilbert Simplex Geometry. - Frank Nielsen; Ke Sun 001 (TAG-ML, 2023)

Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry. - Frank Nielsen (CoRR, 2023)

Partial k-means to avoid outliers, mathematical programming formulations, complexity results. - Nicolas Dupin; Frank Nielsen (CoRR, 2023)

A numerical approximation method for the Fisher-Rao distance between multivariate normal distributions. - Frank Nielsen (CoRR, 2023)

Simplifying Momentum-based Riemannian Submanifold Optimization. - Wu Lin; Valentin Duruisseaux; Melvin Leok; Frank Nielsen; Mohammad Emtiyaz Khan; Mark Schmidt 001 (CoRR, 2023)

Product Jacobi-Theta Boltzmann machines with score matching. - Andrea Di Pasquale; Daniel Krefl; Stefano Carrazza; Frank Nielsen (CoRR, 2023)

Fisher-Rao distance and pullback SPD cone distances between multivariate normal distributions. - Frank Nielsen (CoRR, 2023)

The Tempered Hilbert Simplex Distance and Its Application To Non-linear Embeddings of TEMs. - Ehsan Amid; Frank Nielsen; Richard Nock; Manfred K. Warmuth (CoRR, 2023)

Divergences induced by dual subtractive and divisive normalizations of exponential families and their convex deformations. - Frank Nielsen (CoRR, 2023)

A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions. - Frank Nielsen (Entropy, 2023)

On f-Divergences Between Cauchy Distributions. - Frank Nielsen; Kazuki Okamura (IEEE Trans. Inf. Theory, 2023)

Optimal Transport with Tempered Exponential Measures. - Ehsan Amid; Frank Nielsen; Richard Nock; Manfred K. Warmuth (AAAI, 2024)

A Rate-Distortion View of Uncertainty Quantification. - Ifigeneia Apostolopoulou; Benjamin Eysenbach; Frank Nielsen; Artur Dubrawski (ICML, 2024)

Hyperbolic Embeddings of Supervised Models. - Richard Nock; Ehsan Amid; Frank Nielsen; Alexander Soen; Manfred K. Warmuth (NeurIPS, 2024)

Tempered Calculus for ML: Application to Hyperbolic Model Embedding. - Richard Nock; Ehsan Amid; Frank Nielsen; Alexander Soen; Manfred K. Warmuth (CoRR, 2024)

Approximation and bounding techniques for the Fisher-Rao distances. - Frank Nielsen (CoRR, 2024)

pyBregMan: A Python library for Bregman Manifolds. - Frank Nielsen; Alexander Soen (CoRR, 2024)

Symplectic Bregman divergences. - Frank Nielsen (CoRR, 2024)

Adaptive k-nearest neighbor classifier based on the local estimation of the shape operator. - Alexandre Luis Magalhaes Levada; Frank Nielsen; Michel Ferreira Cardia Haddad (CoRR, 2024)

Fast proxy centers for Jeffreys centroids: The Jeffreys-Fisher-Rao and the inductive Gauss-Bregman centers. - Frank Nielsen (CoRR, 2024)

What is an inductive mean? - Frank Nielsen (CoRR, 2024)

On the f-divergences between densities of a multivariate location or scale family. - Frank Nielsen; Kazuki Okamura (Stat. Comput., 2024)

Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity. - Frank Nielsen (Entropy, 2024)

Curved representational Bregman divergences and their applications. - Frank Nielsen (CoRR, 2025)

Geometric Jensen-Shannon Divergence Between Gaussian Measures On Hilbert Space. - Minh Ha Quang; Frank Nielsen (CoRR, 2025)

A note on the Artstein-Avidan-Milman's generalized Legendre transforms. - Frank Nielsen (CoRR, 2025)

Two tales for a geometric Jensen-Shannon divergence. - Frank Nielsen (CoRR, 2025)

Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family. - Jacek Karwowski; Frank Nielsen (CoRR, 2025)