Topology and geometry of data manifold in deep learning

19 April 2022

Papers citing "Topology and geometry of data manifold in deep learning"

22 / 22 papers shown

Title
Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks Tolga Birdal Aaron Lou Leonidas Guibas Umut cSimcsekli 66 65 0 25 Nov 2021
Scikit-dimension: a Python package for intrinsic dimension estimation Jonathan Bac Evgeny M. Mirkes Alexander N. Gorban I. Tyukin A. Zinovyev 88 82 0 06 Sep 2021
The Dimpled Manifold Model of Adversarial Examples in Machine Learning A. Shamir Odelia Melamed Oriel BenShmuel AAML 65 50 0 18 Jun 2021
On the geometry of generalization and memorization in deep neural networks Cory Stephenson Suchismita Padhy Abhinav Ganesh Yue Hui Hanlin Tang SueYeon Chung TDI AI4CE 77 74 0 30 May 2021
The Intrinsic Dimension of Images and Its Impact on Learning Phillip E. Pope Chen Zhu Ahmed Abdelkader Micah Goldblum Tom Goldstein 231 273 0 18 Apr 2021
Deep Networks and the Multiple Manifold Problem Sam Buchanan D. Gilboa John N. Wright 200 39 0 25 Aug 2020
CelebA-Spoof: Large-Scale Face Anti-Spoofing Dataset with Rich Annotations Yuanhan Zhang Zhen-fei Yin Yidong Li Guojun Yin Junjie Yan Jing Shao Ziwei Liu CVBM 116 165 0 24 Jul 2020
Hierarchical nucleation in deep neural networks Diego Doimo Aldo Glielmo A. Ansuini Alessandro Laio BDL AI4CE 45 32 0 07 Jul 2020
Hausdorff Dimension, Heavy Tails, and Generalization in Neural Networks Umut Simsekli Ozan Sener George Deligiannidis Murat A. Erdogdu 78 56 0 16 Jun 2020
Empirical Studies on the Properties of Linear Regions in Deep Neural Networks Xiao Zhang Dongrui Wu 50 38 0 04 Jan 2020
Fantastic Generalization Measures and Where to Find Them Yiding Jiang Behnam Neyshabur H. Mobahi Dilip Krishnan Samy Bengio AI4CE 142 610 0 04 Dec 2019
Intrinsic dimension of data representations in deep neural networks A. Ansuini Alessandro Laio Jakob H. Macke D. Zoccolan AI4CE 81 279 0 29 May 2019
Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology Bastian Rieck Matteo Togninalli Christian Bock Michael Moor Max Horn Thomas Gumbsch Karsten Borgwardt 68 111 0 23 Dec 2018
Attacks on State-of-the-Art Face Recognition using Attentional Adversarial Attack Generative Network Q. Song Yingqi Wu Lu Yang AAML CVBM GAN 80 97 0 29 Nov 2018
Predicting the Generalization Gap in Deep Networks with Margin Distributions Yiding Jiang Dilip Krishnan H. Mobahi Samy Bengio UQCV 95 199 0 28 Sep 2018
Generalization Error in Deep Learning Daniel Jakubovitz Raja Giryes M. Rodrigues AI4CE 191 111 0 03 Aug 2018
Topological Data Analysis of Decision Boundaries with Application to Model Selection Karthikeyan N. Ramamurthy Kush R. Varshney Krishnan Mody 46 40 0 25 May 2018
Estimating the intrinsic dimension of datasets by a minimal neighborhood information Elena Facco M. d’Errico Alex Rodriguez Alessandro Laio 54 327 0 19 Mar 2018
On Characterizing the Capacity of Neural Networks using Algebraic Topology William H. Guss Ruslan Salakhutdinov 73 90 0 13 Feb 2018
Characterizing Adversarial Subspaces Using Local Intrinsic Dimensionality Xingjun Ma Yue Liu Yisen Wang S. Erfani S. Wijewickrema Grant Schoenebeck Basel Alomair Michael E. Houle James Bailey AAML 111 742 0 08 Jan 2018
Explaining and Harnessing Adversarial Examples Ian Goodfellow Jonathon Shlens Christian Szegedy AAML GAN 282 19,121 0 20 Dec 2014
Testing the Manifold Hypothesis Charles Fefferman S. Mitter Hariharan Narayanan 158 535 0 01 Oct 2013