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Rho-Tau Bregman Information and the Geometry of Annealing Paths


Sep 15, 2022
Rob Brekelmans, Frank Nielsen

* 26 pages + appendix 

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On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models


Jun 17, 2022
Pascal Mattia Esser, Frank Nielsen


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Non-linear Embeddings in Hilbert Simplex Geometry


Mar 22, 2022
Frank Nielsen, Ke Sun

* 15 pages, 10 figures 

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Towards Modeling and Resolving Singular Parameter Spaces using Stratifolds


Dec 07, 2021
Pascal Mattia Esser, Frank Nielsen

* A preliminary version of this work was presented at NeurIPS 2021 as a Spotlight in the 13th Annual Workshop on Optimization for Machine Learning (OPT2021) 

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Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities


Aug 04, 2021
Frank Nielsen

* 39 pages 

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Structured second-order methods via natural gradient descent


Jul 22, 2021
Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt

* ICML workshop paper. arXiv admin note: substantial text overlap with arXiv:2102.07405 

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cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope


Jul 22, 2021
Gautier Marti, Victor Goubet, Frank Nielsen

* GSI 2021: Geometric Science of Information pp 613-620 
* International Conference on Geometric Science of Information 

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q-Paths: Generalizing the Geometric Annealing Path using Power Means


Jul 01, 2021
Vaden Masrani, Rob Brekelmans, Thang Bui, Frank Nielsen, Aram Galstyan, Greg Ver Steeg, Frank Wood

* arXiv admin note: text overlap with arXiv:2012.07823 

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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 

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