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Likelihood Ratio Exponential Families

Dec 31, 2020
Rob Brekelmans, Frank Nielsen, Alireza Makhzani, Aram Galstyan, Greg Ver Steeg

* NeurIPS Workshop on Deep Learning through Information Geometry 

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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) 

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

Jun 18, 2020
Frank Nielsen

* 34 pages, 13 figures 

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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 

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

Feb 19, 2020
Gaƫtan Hadjeres, Frank Nielsen

* 18 pages, 8 figures 

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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) 

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On geodesic triangles with right angles in a dually flat space

Oct 28, 2019
Frank Nielsen

* 34 pages 

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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 

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Lightlike Neuromanifolds, Occam's Razor and Deep Learning

May 27, 2019
Ke Sun, Frank Nielsen

* Submitted to NeurIPS 2019 

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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 

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On power chi expansions of $f$-divergences

Mar 14, 2019
Frank Nielsen, Gaƫtan Hadjeres

* 21 pages 

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

Jan 17, 2019
Frank Nielsen

* 14 pages 

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On The Chain Rule Optimal Transport Distance

Dec 19, 2018
Frank Nielsen, Ke Sun

* 15 pages 

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Geometry and clustering with metrics derived from separable Bregman divergences

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

* 23 pages 

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The Bregman chord divergence

Oct 22, 2018
Frank Nielsen, Richard Nock

* 10 pages 

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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 

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An elementary introduction to information geometry

Aug 17, 2018
Frank Nielsen

* 42 pages, 13 figures 

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Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures

Jun 29, 2018
Frank Nielsen, Ke Sun

* 11 pages, 2 figures 

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

Jun 14, 2018
Frank Nielsen, Ke Sun

* 12 pages, 5 figures, 1 table 

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Monte Carlo Information Geometry: The dually flat case

Mar 20, 2018
Frank Nielsen, Gaƫtan Hadjeres

* 25 pages 

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Evolving a Vector Space with any Generating Set

Dec 31, 2017
Richard Nock, Frank Nielsen


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A generalization of the Jensen divergence: The chord gap divergence

Nov 12, 2017
Frank Nielsen

* 13 pages, 2 figures 

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Interactive Music Generation with Positional Constraints using Anticipation-RNNs

Sep 19, 2017
Gaƫtan Hadjeres, Frank Nielsen

* 9 pages, 7 figures 

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