Frank Nielsen

ORCID

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 152

Top Venues

University of Nice Sophia Antipolis, France (PHD)

Education History

University of Nice Sophia Antipolis, France

PHD

Publications

Richard Nock, Ehsan Amid, Frank Nielsen, Alexander Soen, Manfred K. Warmuth
Tempered Calculus for ML: Application to Hyperbolic Model Embedding. CoRR (2024)
Frank Nielsen, Kazuki Okamura
On the f-divergences between densities of a multivariate location or scale family. Stat. Comput. 34 (1) (2024)
Frank Nielsen
Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon $\nabla $-Divergences. GSI (1) (2023)
Wu Lin, Valentin Duruisseaux, Melvin Leok, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt
Simplifying Momentum-based Positive-definite Submanifold Optimization with Applications to Deep Learning. ICML (2023)
Frank Nielsen
Fisher-Rao distance and pullback SPD cone distances between multivariate normal distributions. CoRR (2023)
Frank Nielsen
Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures. TAG-ML (2023)
Frank Nielsen
Divergences induced by dual subtractive and divisive normalizations of exponential families and their convex deformations. CoRR (2023)
Frank Nielsen, Kazuki Okamura
On f-Divergences Between Cauchy Distributions. IEEE Trans. Inf. Theory 69 (5) (2023)
Wu Lin, Valentin Duruisseaux, Melvin Leok, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt
Simplifying Momentum-based Riemannian Submanifold Optimization. CoRR (2023)
Frank Nielsen
A numerical approximation method for the Fisher-Rao distance between multivariate normal distributions. CoRR (2023)
Nicolas Dupin, Frank Nielsen
Partial K-Means with M Outliers: Mathematical Programs and Complexity Results. OLA (2023)
Nicolas Dupin, Frank Nielsen
Partial k-means to avoid outliers, mathematical programming formulations, complexity results. CoRR (2023)
Frank Nielsen, Ke Sun
Non-linear Embeddings in Hilbert Simplex Geometry. TAG-ML (2023)
Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth
Optimal Transport with Tempered Exponential Measures. CoRR (2023)
Andrea Di Pasquale, Daniel Krefl, Stefano Carrazza, Frank Nielsen
Product Jacobi-Theta Boltzmann machines with score matching. CoRR (2023)
Frank Nielsen
Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry. CoRR (2023)
Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth
The Tempered Hilbert Simplex Distance and Its Application To Non-linear Embeddings of TEMs. CoRR (2023)
Frank Nielsen, Kazuki Okamura
On the f-Divergences Between Hyperboloid and Poincaré Distributions. GSI (1) (2023)
Frank Nielsen
A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions. Entropy 25 (4) (2023)
Frank Nielsen
Revisiting Chernoff Information with Likelihood Ratio Exponential Families. Entropy 24 (10) (2022)
Frank Nielsen, Kazuki Okamura
Information geometry of the Tojo-Yoshino's exponential family on the Poincaré upper plane. CoRR (2022)
Frank Nielsen, Kazuki Okamura
A note on the f-divergences between multivariate location-scale families with either prescribed scale matrices or location parameters. CoRR (2022)
Frank Nielsen
The duo Fenchel-Young divergence. CoRR (2022)
Frank Nielsen
Generalizing the Alpha-Divergences and the Oriented Kullback-Leibler Divergences with Quasi-Arithmetic Means. Algorithms 15 (11) (2022)
Pascal Mattia Esser, Frank Nielsen
On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models. CoRR (2022)
Frank Nielsen, Ke Sun
Non-linear Embeddings in Hilbert Simplex Geometry. CoRR (2022)
Frank Nielsen
Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences. Entropy 24 (3) (2022)
Rob Brekelmans, Frank Nielsen
Rho-Tau Bregman Information and the Geometry of Annealing Paths. CoRR (2022)
Frank Nielsen
Revisiting Chernoff Information with Likelihood Ratio Exponential Families. CoRR (2022)
Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt
Structured second-order methods via natural gradient descent. CoRR (2021)
Frank Nielsen
The dually flat information geometry of the mixture family of two prescribed Cauchy components. CoRR (2021)
Frank Nielsen
Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities. CoRR (2021)
Frank Nielsen, Ke Sun
q-Neurons: Neuron Activations Based on Stochastic Jackson's Derivative Operators. IEEE Trans. Neural Networks Learn. Syst. 32 (6) (2021)
Yann Cabanes, Frank Nielsen
Classification in the Siegel Space for Vectorial Autoregressive Data. GSI (2021)
Frank Nielsen, Richard Nock
Computing Statistical Divergences with Sigma Points. GSI (2021)
Gautier Marti, Victor Goubet, Frank Nielsen
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. GSI (2021)
Frank Nielsen, Kazuki Okamura
On f-divergences Between Cauchy Distributions. GSI (2021)
Frank Nielsen
Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions. Entropy 23 (11) (2021)
Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt
Tractable structured natural-gradient descent using local parameterizations. ICML (2021)
Frank Nielsen
On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius. Entropy 23 (4) (2021)
Vaden Masrani, Rob Brekelmans, Thang Bui, Frank Nielsen, Aram Galstyan, Greg Ver Steeg, Frank Wood
q-Paths: Generalizing the Geometric Annealing Path using Power Means. CoRR (2021)
Frank Nielsen
On the Kullback-Leibler divergence between discrete normal distributions. CoRR (2021)
Frank Nielsen, Kazuki Okamura
On $f$-divergences between Cauchy distributions. CoRR (2021)
Vaden Masrani, Rob Brekelmans, Thang Bui, Frank Nielsen, Aram Galstyan, Greg Ver Steeg, Frank Wood
q-Paths: Generalizing the geometric annealing path using power means. UAI (2021)
Gautier Marti, Victor Goubet, Frank Nielsen
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. CoRR (2021)
Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt
Tractable structured natural gradient descent using local parameterizations. CoRR (2021)
Frank Nielsen
On information projections between multivariate elliptical and location-scale families. CoRR (2021)
Frank Nielsen
On a Variational Definition for the Jensen-Shannon Symmetrization of Distances based on the Information Radius. CoRR (2021)
Pascal Mattia Esser, Frank Nielsen
Towards Modeling and Resolving Singular Parameter Spaces using Stratifolds. CoRR (2021)
Frank Nielsen
A note on some information-theoretic divergences between Zeta distributions. CoRR (2021)
Gaëtan Hadjeres, Frank Nielsen
Schoenberg-Rao distances: Entropy-based and geometry-aware statistical Hilbert distances. CoRR (2020)
Rob Brekelmans, Vaden Masrani, Thang Bui, Frank Wood, Aram Galstyan, Greg Ver Steeg, Frank Nielsen
Annealed Importance Sampling with q-Paths. CoRR (2020)
Frank Nielsen
Hilbert geometry of the Siegel disk: The Siegel-Klein disk model. CoRR (2020)
Frank Nielsen
A generalization of the α-divergences based on comparable and distinct weighted means. CoRR (2020)
Rob Brekelmans, Frank Nielsen, Alireza Makhzani, Aram Galstyan, Greg Ver Steeg
Likelihood Ratio Exponential Families. CoRR (2020)
Frank Nielsen
An Elementary Introduction to Information Geometry. Entropy 22 (10) (2020)
Gaëtan Hadjeres, Frank Nielsen
Anticipation-RNN: enforcing unary constraints in sequence generation, with application to interactive music generation. Neural Comput. Appl. 32 (4) (2020)
Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi
Clustering a 2d Pareto Front: P-center Problems Are Solvable in Polynomial Time. OLA (2020)
Frank Nielsen
On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid. Entropy 22 (2) (2020)
Frank Nielsen, Gaëtan Hadjeres
Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences. SPIGL (2020)
Frank Nielsen
On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds. Entropy 22 (7) (2020)
Frank Nielsen
A note on Onicescu's informational energy and correlation coefficient in exponential families. CoRR (2020)
Frank Nielsen
On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds. CoRR (2020)
Frank Nielsen, Richard Nock
Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family. CoRR (2020)
Frank Nielsen
The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. Entropy 22 (9) (2020)
Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen
Geometry and Fixed-Rate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences. GSI (2019)
Frank Nielsen, Gaëtan Hadjeres
On power chi expansions of f-divergences. CoRR (2019)
Frank Nielsen
On the Kullback-Leibler divergence between location-scale densities. CoRR (2019)
Giorgio Patrini, Rianne van den Berg, Patrick Forré, Marcello Carioni, Samarth Bhargav, Max Welling, Tim Genewein, Frank Nielsen
Sinkhorn AutoEncoders. UAI (2019)
Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi
Planar p-center problems are solvable in polynomial time when clustering a Pareto Front. CoRR (2019)
Ke Sun, Frank Nielsen
Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions. CoRR (2019)
Frank Nielsen, Richard Nock
The Bregman Chord Divergence. GSI (2019)
Frank Nielsen, Gaëtan Hadjeres
A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof. CoRR (2019)
Frank Nielsen
On a generalization of the Jensen-Shannon divergence. CoRR (2019)
Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi
K-Medoids Clustering Is Solvable in Polynomial Time for a 2d Pareto Front. WCGO (2019)
Ke Sun, Frank Nielsen
Lightlike Neuromanifolds, Occam's Razor and Deep Learning. CoRR (2019)
Frank Nielsen
On geodesic triangles with right angles in a dually flat space. CoRR (2019)
Frank Nielsen
On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means. CoRR (2019)
Frédéric Chyzak, Frank Nielsen
A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions. CoRR (2019)
Frank Nielsen
The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models. CoRR (2019)
Frank Nielsen
On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means. Entropy 21 (5) (2019)
Frank Nielsen
The Statistical Minkowski Distances: Closed-Form Formula for Gaussian Mixture Models. GSI (2019)
Frank Nielsen, Ke Sun
Guaranteed Deterministic Bounds on the total variation Distance between univariate mixtures. MLSP (2018)
Frank Nielsen, Ke Sun
On The Chain Rule Optimal Transport Distance. CoRR (2018)
Frank Nielsen
The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance. ICASSP (2018)
Frank Nielsen, Richard Nock
The Bregman chord divergence. CoRR (2018)
Giorgio Patrini, Marcello Carioni, Patrick Forré, Samarth Bhargav, Max Welling, Rianne van den Berg, Tim Genewein, Frank Nielsen
Sinkhorn AutoEncoders. CoRR (2018)
Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen
Geometry and clustering with metrics derived from separable Bregman divergences. CoRR (2018)
Gia-Thuy Pham, Rémy Boyer, Frank Nielsen
Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors. Entropy 20 (3) (2018)
Frank Nielsen, Richard Nock
On the Geometry of Mixtures of Prescribed Distributions. ICASSP (2018)
Frank Nielsen, Ke Sun
Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures. CoRR (2018)
Maria S. Greco, Rémy Boyer, Frank Nielsen
On the Angular Resolution Limit Uncertainty. EUSIPCO (2018)
Frank Nielsen, Ke Sun
q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators. CoRR (2018)
Frank Nielsen, Gaëtan Hadjeres
Monte Carlo Information Geometry: The dually flat case. CoRR (2018)
Frank Nielsen
An elementary introduction to information geometry. CoRR (2018)
Frank Nielsen, Ke Sun
Combinatorial bounds on the α-divergence of univariate mixture models. ICASSP (2017)
Gaëtan Hadjeres, Frank Nielsen, François Pachet
GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures. SSCI (2017)
Ke Sun, Frank Nielsen
Relative Fisher Information and Natural Gradient for Learning Large Modular Models. ICML (2017)
Rémy Boyer, Frank Nielsen
Information geometry metric for random signal detection in large random sensing systems. ICASSP (2017)
Frank Nielsen, Richard Nock
Bregman Divergences from Comparative Convexity. GSI (2017)

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Publication Activity (10 Years)

Top Topics

Top Venues

Frank Nielsen