Geometry of Linear Convolutional Networks

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Geometry of Linear Convolutional Networks

3 August 2021

Guido Montúfar

Matthew Trager

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Papers citing "Geometry of Linear Convolutional Networks"

13 / 13 papers shown

Title
Understanding Learning Invariance in Deep Linear Networks Hao Duan Guido Montúfar 17 0 0 16 Jun 2025
Understanding Mode Connectivity via Parameter Space Symmetry B. Zhao Nima Dehmamy Robin Walters Rose Yu 227 8 0 29 May 2025
Algebra Unveils Deep Learning -- An Invitation to Neuroalgebraic Geometry Giovanni Luca Marchetti Vahid Shahverdi Stefano Mereta Matthew Trager Kathlén Kohn 153 2 0 31 Jan 2025
Training Dynamics of In-Context Learning in Linear Attention Yedi Zhang Aaditya K. Singh Peter E. Latham Andrew Saxe MLT 128 5 0 27 Jan 2025
Geometry and Optimization of Shallow Polynomial Networks Yossi Arjevani Joan Bruna Joe Kileel Elzbieta Polak Matthew Trager 84 3 0 10 Jan 2025
On the Geometry and Optimization of Polynomial Convolutional Networks Vahid Shahverdi Giovanni Luca Marchetti Kathlén Kohn 55 4 0 01 Oct 2024
Algebraic Representations for Faster Predictions in Convolutional Neural Networks Johnny Joyce Jan Verschelde AI4CE 53 0 0 14 Aug 2024
Algebraic Complexity and Neurovariety of Linear Convolutional Networks Vahid Shahverdi 112 4 0 29 Jan 2024
Geometry of Linear Neural Networks: Equivariance and Invariance under Permutation Groups Kathlén Kohn Anna-Laura Sattelberger Vahid Shahverdi 97 4 0 24 Sep 2023
Function Space and Critical Points of Linear Convolutional Networks Kathlén Kohn Guido Montúfar Vahid Shahverdi Matthew Trager 85 14 0 12 Apr 2023
Critical Points and Convergence Analysis of Generative Deep Linear Networks Trained with Bures-Wasserstein Loss Pierre Bréchet Katerina Papagiannouli Jing An Guido Montúfar 82 4 0 06 Mar 2023
Side Effects of Learning from Low-dimensional Data Embedded in a Euclidean Space Juncai He R. Tsai Rachel A. Ward 82 9 0 01 Mar 2022
Implicit Regularization in Hierarchical Tensor Factorization and Deep Convolutional Neural Networks Noam Razin Asaf Maman Nadav Cohen 132 29 0 27 Jan 2022