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ORCIDFrank Nielsen
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- affiliation: Sony Computer Science Laboratories, Tokyo, Japan
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2020 – today
- 2024
[j65]Frank Nielsen
:
Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity. Entropy 26(3): 193 (2024)- [j64]Frank Nielsen, Kazuki Okamura:
On the f-divergences between densities of a multivariate location or scale family. Stat. Comput. 34(1): 60 (2024) - [c139]Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth:
Optimal Transport with Tempered Exponential Measures. AAAI 2024: 10838-10846 - [c138]Ifigeneia Apostolopoulou, Benjamin Eysenbach, Frank Nielsen, Artur Dubrawski:
A Rate-Distortion View of Uncertainty Quantification. ICML 2024 - [i111]Richard Nock, Ehsan Amid, Frank Nielsen, Alexander Soen, Manfred K. Warmuth:
Tempered Calculus for ML: Application to Hyperbolic Model Embedding. CoRR abs/2402.04163 (2024) - [i110]Frank Nielsen:
Approximation and bounding techniques for the Fisher-Rao distances. CoRR abs/2403.10089 (2024) - [i109]Ifigeneia Apostolopoulou, Benjamin Eysenbach, Frank Nielsen, Artur Dubrawski:
A Rate-Distortion View of Uncertainty Quantification. CoRR abs/2406.10775 (2024) - [i108]Frank Nielsen, Alexander Soen:
pyBregMan: A Python library for Bregman Manifolds. CoRR abs/2408.04175 (2024) - [i107]Frank Nielsen:
Symplectic Bregman divergences. CoRR abs/2408.12961 (2024) - 2023
- [j63]Frank Nielsen:
A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions. Entropy 25(4): 654 (2023) - [j62]Frank Nielsen, Kazuki Okamura:
On f-Divergences Between Cauchy Distributions. IEEE Trans. Inf. Theory 69(5): 3150-3171 (2023) - [c137]Frank Nielsen:
Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon $\nabla $-Divergences. GSI (1) 2023: 147-156 - [c136]Frank Nielsen, Kazuki Okamura:
On the f-Divergences Between Hyperboloid and Poincaré Distributions. GSI (1) 2023: 176-185 - [c135]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: 21026-21050 - [c134]Nicolas Dupin, Frank Nielsen:
Partial K-Means with M Outliers: Mathematical Programs and Complexity Results. OLA 2023: 287-303 - [c133]Frank Nielsen, Ke Sun:
Non-linear Embeddings in Hilbert Simplex Geometry. TAG-ML 2023: 254-266 - [c132]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: 488-504 - [e9]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part I. Lecture Notes in Computer Science 14071, Springer 2023, ISBN 978-3-031-38270-3 [contents] - [e8]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part II. Lecture Notes in Computer Science 14072, Springer 2023, ISBN 978-3-031-38298-7 [contents] - [i106]Frank Nielsen:
Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry. CoRR abs/2301.10980 (2023) - [i105]Nicolas Dupin, Frank Nielsen:
Partial k-means to avoid outliers, mathematical programming formulations, complexity results. CoRR abs/2302.05644 (2023) - [i104]Frank Nielsen:
A numerical approximation method for the Fisher-Rao distance between multivariate normal distributions. CoRR abs/2302.08175 (2023) - [i103]Wu Lin, Valentin Duruisseaux, Melvin Leok, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt:
Simplifying Momentum-based Riemannian Submanifold Optimization. CoRR abs/2302.09738 (2023) - [i102]Andrea Di Pasquale, Daniel Krefl, Stefano Carrazza, Frank Nielsen:
Product Jacobi-Theta Boltzmann machines with score matching. CoRR abs/2303.05910 (2023) - [i101]Frank Nielsen:
Fisher-Rao distance and pullback SPD cone distances between multivariate normal distributions. CoRR abs/2307.10644 (2023) - [i100]Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth:
Optimal Transport with Tempered Exponential Measures. CoRR abs/2309.04015 (2023) - [i99]Ehsan Amid, Frank Nielsen, Richard Nock, Manfred K. Warmuth:
The Tempered Hilbert Simplex Distance and Its Application To Non-linear Embeddings of TEMs. CoRR abs/2311.13459 (2023) - [i98]Frank Nielsen:
Divergences induced by dual subtractive and divisive normalizations of exponential families and their convex deformations. CoRR abs/2312.12849 (2023) - 2022
- [j61]Frank Nielsen:
Generalizing the Alpha-Divergences and the Oriented Kullback-Leibler Divergences with Quasi-Arithmetic Means. Algorithms 15(11): 435 (2022) - [j60]Frank Nielsen:
Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences. Entropy 24(3): 421 (2022) - [j59]Frank Nielsen:
Revisiting Chernoff Information with Likelihood Ratio Exponential Families. Entropy 24(10): 1400 (2022) - [i97]Frank Nielsen:
The duo Fenchel-Young divergence. CoRR abs/2202.10726 (2022) - [i96]Frank Nielsen, Ke Sun:
Non-linear Embeddings in Hilbert Simplex Geometry. CoRR abs/2203.11434 (2022) - [i95]Frank Nielsen, Kazuki Okamura:
A note on the f-divergences between multivariate location-scale families with either prescribed scale matrices or location parameters. CoRR abs/2204.10952 (2022) - [i94]Frank Nielsen, Kazuki Okamura:
Information geometry of the Tojo-Yoshino's exponential family on the Poincaré upper plane. CoRR abs/2205.13984 (2022) - [i93]Pascal Mattia Esser, Frank Nielsen:
On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models. CoRR abs/2206.08598 (2022) - [i92]Frank Nielsen:
Revisiting Chernoff Information with Likelihood Ratio Exponential Families. CoRR abs/2207.03745 (2022) - [i91]Rob Brekelmans, Frank Nielsen:
Rho-Tau Bregman Information and the Geometry of Annealing Paths. CoRR abs/2209.07481 (2022) - 2021
- [j58]Frank Nielsen:
On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius. Entropy 23(4): 464 (2021) - [j57]Frank Nielsen:
Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions. Entropy 23(11): 1417 (2021) - [j56]Frank Nielsen, Ke Sun:
q-Neurons: Neuron Activations Based on Stochastic Jackson's Derivative Operators. IEEE Trans. Neural Networks Learn. Syst. 32(6): 2782-2789 (2021) - [c131]Gautier Marti, Victor Goubet, Frank Nielsen:
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. GSI 2021: 613-620 - [c130]Frank Nielsen, Richard Nock:
Computing Statistical Divergences with Sigma Points. GSI 2021: 677-684 - [c129]Yann Cabanes, Frank Nielsen:
Classification in the Siegel Space for Vectorial Autoregressive Data. GSI 2021: 693-700 - [c128]Frank Nielsen, Kazuki Okamura:
On f-divergences Between Cauchy Distributions. GSI 2021: 799-807 - [c127]Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt:
Tractable structured natural-gradient descent using local parameterizations. ICML 2021: 6680-6691 - [c126]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: 1938-1947 - [e7]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings. Lecture Notes in Computer Science 12829, Springer 2021, ISBN 978-3-030-80208-0 [contents] - [e6]Frédéric Barbaresco, Frank Nielsen:
Geometric Structures of Statistical Physics, Information Geometry, and Learning - SPIGL'20, Les Houches, France, July 27-31. Springer 2021, ISBN 978-3-030-77956-6 [contents] - [i90]Frank Nielsen:
On information projections between multivariate elliptical and location-scale families. CoRR abs/2101.03839 (2021) - [i89]Frank Nielsen, Kazuki Okamura:
On $f$-divergences between Cauchy distributions. CoRR abs/2101.12459 (2021) - [i88]Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt:
Tractable structured natural gradient descent using local parameterizations. CoRR abs/2102.07405 (2021) - [i87]Frank Nielsen:
On a Variational Definition for the Jensen-Shannon Symmetrization of Distances based on the Information Radius. CoRR abs/2102.09728 (2021) - [i86]Frank Nielsen:
A note on some information-theoretic divergences between Zeta distributions. CoRR abs/2104.10548 (2021) - [i85]Frank Nielsen:
The dually flat information geometry of the mixture family of two prescribed Cauchy components. CoRR abs/2104.13801 (2021) - [i84]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 abs/2107.00745 (2021) - [i83]Frank Nielsen:
Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities. CoRR abs/2107.05901 (2021) - [i82]Gautier Marti, Victor Goubet, Frank Nielsen:
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. CoRR abs/2107.10606 (2021) - [i81]Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt:
Structured second-order methods via natural gradient descent. CoRR abs/2107.10884 (2021) - [i80]Frank Nielsen:
On the Kullback-Leibler divergence between discrete normal distributions. CoRR abs/2109.14920 (2021) - [i79]Pascal Mattia Esser, Frank Nielsen:
Towards Modeling and Resolving Singular Parameter Spaces using Stratifolds. CoRR abs/2112.03734 (2021) - 2020
- [j55]Frank Nielsen:
On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid. Entropy 22(2): 221 (2020) - [j54]Frank Nielsen:
On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds. Entropy 22(7): 713 (2020) - [j53]Frank Nielsen:
The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. Entropy 22(9): 1019 (2020) - [j52]Frank Nielsen:
An Elementary Introduction to Information Geometry. Entropy 22(10): 1100 (2020) - [j51]Gaëtan Hadjeres, Frank Nielsen:
Anticipation-RNN: enforcing unary constraints in sequence generation, with application to interactive music generation. Neural Comput. Appl. 32(4): 995-1005 (2020) - [c125]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
Clustering a 2d Pareto Front: P-center Problems Are Solvable in Polynomial Time. OLA 2020: 179-191 - [c124]Frank Nielsen, Gaëtan Hadjeres:
Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences. SPIGL 2020: 196-218 - [i78]Frank Nielsen:
A generalization of the α-divergences based on comparable and distinct weighted means. CoRR abs/2001.09660 (2020) - [i77]Frank Nielsen, Richard Nock:
Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family. CoRR abs/2003.02469 (2020) - [i76]Frank Nielsen:
A note on Onicescu's informational energy and correlation coefficient in exponential families. CoRR abs/2003.13199 (2020) - [i75]Frank Nielsen:
Hilbert geometry of the Siegel disk: The Siegel-Klein disk model. CoRR abs/2004.08160 (2020) - [i74]Frank Nielsen:
On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds. CoRR abs/2006.07020 (2020) - [i73]Rob Brekelmans, Vaden Masrani, Thang Bui, Frank Wood, Aram Galstyan, Greg Ver Steeg, Frank Nielsen:
Annealed Importance Sampling with q-Paths. CoRR abs/2012.07823 (2020) - [i72]Rob Brekelmans, Frank Nielsen, Alireza Makhzani, Aram Galstyan, Greg Ver Steeg:
Likelihood Ratio Exponential Families. CoRR abs/2012.15480 (2020)
2010 – 2019
- 2019
- [j50]Frank Nielsen:
On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means. Entropy 21(5): 485 (2019) - [c123]Frank Nielsen, Richard Nock:
The Bregman Chord Divergence. GSI 2019: 299-308 - [c122]Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen:
Geometry and Fixed-Rate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences. GSI 2019: 351-358 - [c121]Frank Nielsen:
The Statistical Minkowski Distances: Closed-Form Formula for Gaussian Mixture Models. GSI 2019: 359-367 - [c120]Giorgio Patrini, Rianne van den Berg, Patrick Forré, Marcello Carioni, Samarth Bhargav, Max Welling, Tim Genewein, Frank Nielsen:
Sinkhorn AutoEncoders. UAI 2019: 733-743 - [c119]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
K-Medoids Clustering Is Solvable in Polynomial Time for a 2d Pareto Front. WCGO 2019: 790-799 - [e5]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27-29, 2019, Proceedings. Lecture Notes in Computer Science 11712, Springer 2019, ISBN 978-3-030-26979-1 [contents] - [i71]Frank Nielsen:
The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models. CoRR abs/1901.03732 (2019) - [i70]Frank Nielsen, Gaëtan Hadjeres:
On power chi expansions of f-divergences. CoRR abs/1903.05818 (2019) - [i69]Frank Nielsen:
On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means. CoRR abs/1904.04017 (2019) - [i68]Frank Nielsen:
On the Kullback-Leibler divergence between location-scale densities. CoRR abs/1904.10428 (2019) - [i67]Frédéric Chyzak, Frank Nielsen:
A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions. CoRR abs/1905.10965 (2019) - [i66]Ke Sun, Frank Nielsen:
Lightlike Neuromanifolds, Occam's Razor and Deep Learning. CoRR abs/1905.11027 (2019) - [i65]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
Planar p-center problems are solvable in polynomial time when clustering a Pareto Front. CoRR abs/1908.09648 (2019) - [i64]Frank Nielsen, Gaëtan Hadjeres:
A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof. CoRR abs/1909.08857 (2019) - [i63]Frank Nielsen:
On geodesic triangles with right angles in a dually flat space. CoRR abs/1910.03935 (2019) - [i62]Ke Sun, Frank Nielsen:
Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions. CoRR abs/1911.12463 (2019) - [i61]Frank Nielsen:
On a generalization of the Jensen-Shannon divergence. CoRR abs/1912.00610 (2019) - 2018
- [j49]Gia-Thuy Pham, Rémy Boyer, Frank Nielsen:
Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors. Entropy 20(3): 203 (2018) - [c118]Maria S. Greco, Rémy Boyer, Frank Nielsen:
On the Angular Resolution Limit Uncertainty. EUSIPCO 2018: 623-626 - [c117]Frank Nielsen:
The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance. ICASSP 2018: 2276-2280 - [c116]Frank Nielsen, Richard Nock:
On the Geometry of Mixtures of Prescribed Distributions. ICASSP 2018: 2861-2865 - [c115]Frank Nielsen, Ke Sun:
Guaranteed Deterministic Bounds on the total variation Distance between univariate mixtures. MLSP 2018: 1-6 - [i60]Frank Nielsen, Gaëtan Hadjeres:
Monte Carlo Information Geometry: The dually flat case. CoRR abs/1803.07225 (2018) - [i59]Frank Nielsen, Ke Sun:
q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators. CoRR abs/1806.00149 (2018) - [i58]Frank Nielsen, Ke Sun:
Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures. CoRR abs/1806.11311 (2018) - [i57]Frank Nielsen:
An elementary introduction to information geometry. CoRR abs/1808.08271 (2018) - [i56]Giorgio Patrini, Marcello Carioni, Patrick Forré, Samarth Bhargav, Max Welling, Rianne van den Berg, Tim Genewein, Frank Nielsen:
Sinkhorn AutoEncoders. CoRR abs/1810.01118 (2018) - [i55]Frank Nielsen, Richard Nock:
The Bregman chord divergence. CoRR abs/1810.09113 (2018) - [i54]Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen:
Geometry and clustering with metrics derived from separable Bregman divergences. CoRR abs/1810.10770 (2018) - [i53]Frank Nielsen, Ke Sun:
On The Chain Rule Optimal Transport Distance. CoRR abs/1812.08113 (2018) - 2017
- [j48]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
On Hölder Projective Divergences. Entropy 19(3): 122 (2017) - [j47]Frank Nielsen, Richard Nock:
MaxEnt Upper Bounds for the Differential Entropy of Univariate Continuous Distributions. IEEE Signal Process. Lett. 24(4): 402-406 (2017) - [j46]Frank Nielsen, Richard Nock:
Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity. IEEE Signal Process. Lett. 24(8): 1123-1127 (2017) - [c114]Boris Muzellec, Richard Nock, Giorgio Patrini, Frank Nielsen:
Tsallis Regularized Optimal Transport and Ecological Inference. AAAI 2017: 2387-2393 - [c113]Frank Nielsen, Laëtitia Shao:
On Balls in a Hilbert Polygonal Geometry (Multimedia Contribution). SoCG 2017: 67:1-67:4 - [c112]Frank Nielsen, Richard Nock:
Bregman Divergences from Comparative Convexity. GSI 2017: 639-647 - [c111]Rémy Boyer, Frank Nielsen:
On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices. GSI 2017: 657-664 - [c110]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
k-Means Clustering with Hölder Divergences. GSI 2017: 856-863 - [c109]Rémy Boyer, Frank Nielsen:
Information geometry metric for random signal detection in large random sensing systems. ICASSP 2017: 4471-4475 - [c108]Frank Nielsen, Ke Sun:
Combinatorial bounds on the α-divergence of univariate mixture models. ICASSP 2017: 4476-4480 - [c107]Gaëtan Hadjeres, François Pachet, Frank Nielsen:
DeepBach: a Steerable Model for Bach Chorales Generation. ICML 2017: 1362-1371 - [c106]Ke Sun, Frank Nielsen:
Relative Fisher Information and Natural Gradient for Learning Large Modular Models. ICML 2017: 3289-3298 - [c105]Gaëtan Hadjeres, Frank Nielsen, François Pachet:
GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures. SSCI 2017: 1-7 - [e4]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. Lecture Notes in Computer Science 10589, Springer 2017, ISBN 978-3-319-68444-4 [contents] - [i52]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
On Hölder projective divergences. CoRR abs/1701.03916 (2017) - [i51]Frank Nielsen, Richard Nock:
Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means. CoRR abs/1702.04877 (2017) - [i50]