Topology and geometry of data manifold in deep learning

19 April 2022

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

12 / 12 papers shown

Title
Persistent Topological Features in Large Language Models Yuri Gardinazzi Giada Panerai Karthik Viswanathan A. Ansuini Alberto Cazzaniga Matteo Biagetti 39 2 0 14 Oct 2024
A Geometric View of Data Complexity: Efficient Local Intrinsic Dimension Estimation with Diffusion Models Hamidreza Kamkari Brendan Leigh Ross Rasa Hosseinzadeh Jesse C. Cresswell G. Loaiza-Ganem DiffM 26 11 0 05 Jun 2024
Deep Learning as Ricci Flow Anthony Baptista Alessandro Barp Tapabrata Chakraborti Chris Harbron Ben D. MacArthur Christopher R. S. Banerji AI4CE 38 0 0 22 Apr 2024
Quantifying Manifolds: Do the manifolds learned by Generative Adversarial Networks converge to the real data manifold Anupam Chaudhuri Anj Simmons Mohamed Abdelrazek 13 0 0 08 Mar 2024
Defining Neural Network Architecture through Polytope Structures of Dataset Sangmin Lee Abbas Mammadov Jong Chul Ye 46 0 0 04 Feb 2024
Intrinsic Dimension Estimation for Robust Detection of AI-Generated Texts Eduard Tulchinskii Kristian Kuznetsov Laida Kushnareva D. Cherniavskii S. Barannikov Irina Piontkovskaya Sergey I. Nikolenko Evgeny Burnaev DeLMO 17 61 0 07 Jun 2023
Data Topology-Dependent Upper Bounds of Neural Network Widths Sangmin Lee Jong Chul Ye 13 0 0 25 May 2023
Metric Space Magnitude and Generalisation in Neural Networks R. Andreeva K. Limbeck Bastian Alexander Rieck Rik Sarkar OOD 15 6 0 09 May 2023
Singular value decomposition based matrix surgery Jehan Ghafuri S. Jassim 9 0 0 22 Feb 2023
The Intrinsic Dimension of Images and Its Impact on Learning Phillip E. Pope Chen Zhu Ahmed Abdelkader Micah Goldblum Tom Goldstein 180 256 0 18 Apr 2021
Deep Networks and the Multiple Manifold Problem Sam Buchanan D. Gilboa John N. Wright 166 35 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 42 158 0 24 Jul 2020