Get our free extension to see links to code for papers anywhere online!

Chrome logo Add to Chrome

Firefox logo Add to Firefox

Picture for Frank Nielsen

Tractable structured natural gradient descent using local parameterizations


Mar 04, 2021
Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt

* Updated the main text and the appendix 

  Access Paper or Ask Questions

Likelihood Ratio Exponential Families


Jan 15, 2021
Rob Brekelmans, Frank Nielsen, Alireza Makhzani, Aram Galstyan, Greg Ver Steeg

* NeurIPS Workshop on Deep Learning through Information Geometry 

  Access Paper or Ask Questions

Annealed Importance Sampling with q-Paths


Dec 14, 2020
Rob Brekelmans, Vaden Masrani, Thang Bui, Frank Wood, Aram Galstyan, Greg Ver Steeg, Frank Nielsen

* NeurIPS Workshop on Deep Learning through Information Geometry (Best Paper Award) 

  Access Paper or Ask Questions

On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds


Jun 18, 2020
Frank Nielsen

* 34 pages, 13 figures 

  Access Paper or Ask Questions

Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family


Apr 07, 2020
Frank Nielsen, Richard Nock

* 33 pages 

  Access Paper or Ask Questions

Schoenberg-Rao distances: Entropy-based and geometry-aware statistical Hilbert distances


Feb 19, 2020
Gaƫtan Hadjeres, Frank Nielsen

* 18 pages, 8 figures 

  Access Paper or Ask Questions

Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions


Dec 11, 2019
Ke Sun, Frank Nielsen

* To be presented at Sets & Partitions (NeurIPS 2019 workshop) 

  Access Paper or Ask Questions

On geodesic triangles with right angles in a dually flat space


Oct 28, 2019
Frank Nielsen

* 34 pages 

  Access Paper or Ask Questions

A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof


Oct 04, 2019
Frank Nielsen, Gaƫtan Hadjeres

* 19 pages, 3 figures, 1 table 

  Access Paper or Ask Questions

Lightlike Neuromanifolds, Occam's Razor and Deep Learning


May 27, 2019
Ke Sun, Frank Nielsen

* Submitted to NeurIPS 2019 

  Access Paper or Ask Questions

On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means


Apr 30, 2019
Frank Nielsen

* Entropy 2019, 21(5), 485 
* 25 pages 

  Access Paper or Ask Questions

On power chi expansions of $f$-divergences


Mar 14, 2019
Frank Nielsen, Gaƫtan Hadjeres

* 21 pages 

  Access Paper or Ask Questions

The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models


Jan 17, 2019
Frank Nielsen

* 14 pages 

  Access Paper or Ask Questions

On The Chain Rule Optimal Transport Distance


Dec 19, 2018
Frank Nielsen, Ke Sun

* 15 pages 

  Access Paper or Ask Questions

Geometry and clustering with metrics derived from separable Bregman divergences


Oct 25, 2018
Erika Gomes-GonƧalves, Henryk Gzyl, Frank Nielsen

* 23 pages 

  Access Paper or Ask Questions

The Bregman chord divergence


Oct 22, 2018
Frank Nielsen, Richard Nock

* 10 pages 

  Access Paper or Ask Questions

Sinkhorn AutoEncoders


Oct 03, 2018
Giorgio Patrini, Marcello Carioni, Patrick ForrƩ, Samarth Bhargav, Max Welling, Rianne van den Berg, Tim Genewein, Frank Nielsen

* Submitted to ICLR19 

  Access Paper or Ask Questions

An elementary introduction to information geometry


Aug 17, 2018
Frank Nielsen

* 42 pages, 13 figures 

  Access Paper or Ask Questions

Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures


Jun 29, 2018
Frank Nielsen, Ke Sun

* 11 pages, 2 figures 

  Access Paper or Ask Questions

q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators


Jun 14, 2018
Frank Nielsen, Ke Sun

* 12 pages, 5 figures, 1 table 

  Access Paper or Ask Questions

Monte Carlo Information Geometry: The dually flat case


Mar 20, 2018
Frank Nielsen, Gaƫtan Hadjeres

* 25 pages 

  Access Paper or Ask Questions