Intrinsic Dimension, Persistent Homology and Generalization in Neural
Networks

Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks

25 November 2021

Leonidas J. Guibas

Umut cSimcsekli

Papers citing "Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks"

15 / 15 papers shown

Title
Generalization Guarantees for Multi-View Representation Learning and Application to Regularization via Gaussian Product Mixture Prior Milad Sefidgaran Abdellatif Zaidi Piotr Krasnowski 44 0 0 25 Apr 2025
Generalization Guarantees for Representation Learning via Data-Dependent Gaussian Mixture Priors Milad Sefidgaran A. Zaidi Piotr Krasnowski 63 1 0 21 Feb 2025
A Relative Homology Theory of Representation in Neural Networks Kosio Beshkov 89 0 0 17 Feb 2025
Uniform Generalization Bounds on Data-Dependent Hypothesis Sets via PAC-Bayesian Theory on Random Sets Benjamin Dupuis Paul Viallard George Deligiannidis Umut Simsekli 23 2 0 26 Apr 2024
From Mutual Information to Expected Dynamics: New Generalization Bounds for Heavy-Tailed SGD Benjamin Dupuis Paul Viallard 8 3 0 01 Dec 2023
Addressing caveats of neural persistence with deep graph persistence Leander Girrbach Anders Christensen Ole Winther Zeynep Akata A. Sophia Koepke GNN 6 1 0 20 Jul 2023
Generalization Guarantees via Algorithm-dependent Rademacher Complexity Sarah Sachs T. Erven Liam Hodgkinson Rajiv Khanna Umut Simsekli 8 3 0 04 Jul 2023
Mathematical Challenges in Deep Learning V. Nia Guojun Zhang I. Kobyzev Michael R. Metel Xinlin Li ... S. Hemati M. Asgharian Linglong Kong Wulong Liu Boxing Chen AI4CE VLM 22 1 0 24 Mar 2023
Trajectory-dependent Generalization Bounds for Deep Neural Networks via Fractional Brownian Motion Chengli Tan Jiang Zhang Junmin Liu 23 1 0 09 Jun 2022
Topology and geometry of data manifold in deep learning German Magai A. Ayzenberg AAML 13 11 0 19 Apr 2022
Machine Learning and Deep Learning -- A review for Ecologists Maximilian Pichler F. Hartig 8 119 0 11 Apr 2022
Weakly Supervised Learning of Rigid 3D Scene Flow Zan Gojcic Or Litany A. Wieser Leonidas J. Guibas Tolga Birdal 3DPC 94 91 0 17 Feb 2021
Cycle Registration in Persistent Homology with Applications in Topological Bootstrap Yohai Reani O. Bobrowski 95 20 0 03 Jan 2021
Hausdorff Dimension, Heavy Tails, and Generalization in Neural Networks Umut Simsekli Ozan Sener George Deligiannidis Murat A. Erdogdu 28 55 0 16 Jun 2020
PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation C. Qi Hao Su Kaichun Mo Leonidas J. Guibas 3DH 3DPC 3DV PINN 210 13,886 0 02 Dec 2016