Random Matrix Theory Proves that Deep Learning Representations of
GAN-data Behave as Gaussian Mixtures

Random Matrix Theory Proves that Deep Learning Representations of GAN-data Behave as Gaussian Mixtures

21 January 2020

Romain Couillet

Papers citing "Random Matrix Theory Proves that Deep Learning Representations of GAN-data Behave as Gaussian Mixtures"

16 / 16 papers shown

Title
Gramian Multimodal Representation Learning and Alignment Giordano Cicchetti Eleonora Grassucci Luigi Sigillo Danilo Comminiello 149 3 0 16 Dec 2024
Representer Point Selection for Explaining Deep Neural Networks Chih-Kuan Yeh Joon Sik Kim Ian En-Hsu Yen Pradeep Ravikumar TDI 49 249 0 23 Nov 2018
Large Scale GAN Training for High Fidelity Natural Image Synthesis Andrew Brock Jeff Donahue Karen Simonyan 224 5,363 0 28 Sep 2018
PCA of high dimensional random walks with comparison to neural network training J. Antognini Jascha Narain Sohl-Dickstein OOD 40 27 0 22 Jun 2018
Spectral Normalization for Generative Adversarial Networks Takeru Miyato Toshiki Kataoka Masanori Koyama Yuichi Yoshida ODL 141 4,421 0 16 Feb 2018
Data Augmentation Generative Adversarial Networks Antreas Antoniou Amos Storkey Harrison Edwards MedIm GAN 117 1,069 0 12 Nov 2017
A random matrix analysis and improvement of semi-supervised learning for large dimensional data Xiaoyi Mai Romain Couillet 119 42 0 09 Nov 2017
Stabilizing Training of Generative Adversarial Networks through Regularization Kevin Roth Aurelien Lucchi Sebastian Nowozin Thomas Hofmann GAN 48 444 0 25 May 2017
Improved Training of Wasserstein GANs Ishaan Gulrajani Faruk Ahmed Martín Arjovsky Vincent Dumoulin Aaron Courville GAN 141 9,509 0 31 Mar 2017
Random matrices meet machine learning: a large dimensional analysis of LS-SVM Zhenyu Liao Romain Couillet 27 8 0 07 Sep 2016
Kernel spectral clustering of large dimensional data Romain Couillet Florent Benaych-Georges 43 91 0 13 Oct 2015
Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift Sergey Ioffe Christian Szegedy OOD 354 43,154 0 11 Feb 2015
Conditional Generative Adversarial Nets M. Berk Mirza Simon Osindero GAN SyDa AI4CE 210 10,365 0 06 Nov 2014
Intriguing properties of neural networks Christian Szegedy Wojciech Zaremba Ilya Sutskever Joan Bruna D. Erhan Ian Goodfellow Rob Fergus AAML 185 14,831 1 21 Dec 2013
Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression L. Comminges A. Dalalyan 93 58 0 09 Aug 2012
Representation Learning: A Review and New Perspectives Yoshua Bengio Aaron Courville Pascal Vincent OOD SSL 184 12,384 0 24 Jun 2012

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