Implicit Regularization in Deep Matrix Factorization

31 May 2019

Papers citing "Implicit Regularization in Deep Matrix Factorization"

50 / 109 papers shown

Title
Gradient Descent Robustly Learns the Intrinsic Dimension of Data in Training Convolutional Neural Networks Chenyang Zhang Peifeng Gao Difan Zou Yuan Cao OOD MLT 59 0 0 11 Apr 2025
Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries Chris Kolb T. Weber Bernd Bischl David Rügamer 113 0 0 04 Feb 2025
Implicit Bias in Matrix Factorization and its Explicit Realization in a New Architecture Yikun Hou Suvrit Sra A. Yurtsever 34 0 0 28 Jan 2025
Optimization Insights into Deep Diagonal Linear Networks Hippolyte Labarrière C. Molinari Lorenzo Rosasco S. Villa Cristian Vega 76 0 0 21 Dec 2024
From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networks Clémentine Dominé Nicolas Anguita A. Proca Lukas Braun D. Kunin P. Mediano Andrew M. Saxe 38 3 0 22 Sep 2024
Multiple Rotation Averaging with Constrained Reweighting Deep Matrix Factorization Shiqi Li Jihua Zhu Yifan Xie Naiwen Hu Mingchen Zhu Zhongyu Li Di Wang 139 0 0 15 Sep 2024
How Neural Networks Learn the Support is an Implicit Regularization Effect of SGD Pierfrancesco Beneventano Andrea Pinto Tomaso A. Poggio MLT 32 1 0 17 Jun 2024
Compressible Dynamics in Deep Overparameterized Low-Rank Learning & Adaptation Can Yaras Peng Wang Laura Balzano Qing Qu AI4CE 37 12 0 06 Jun 2024
Pretraining with Random Noise for Fast and Robust Learning without Weight Transport Jeonghwan Cheon Sang Wan Lee Se-Bum Paik OOD 164 1 0 27 May 2024
Connectivity Shapes Implicit Regularization in Matrix Factorization Models for Matrix Completion Zhiwei Bai Jiajie Zhao Yaoyu Zhang AI4CE 37 0 0 22 May 2024
Learned feature representations are biased by complexity, learning order, position, and more Andrew Kyle Lampinen Stephanie C. Y. Chan Katherine Hermann AI4CE FaML SSL OOD 37 6 0 09 May 2024
How Do Recommendation Models Amplify Popularity Bias? An Analysis from the Spectral Perspective Siyi Lin Chongming Gao Jiawei Chen Sheng Zhou Binbin Hu Yan Feng Chun-Yen Chen Can Wang 26 7 0 18 Apr 2024
$Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization$ Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization Shuo Xie Zhiyuan Li OffRL 47 13 0 05 Apr 2024
Sim2Real in Reconstructive Spectroscopy: Deep Learning with Augmented Device-Informed Data Simulation Jiyi Chen Pengyu Li Yutong Wang Pei-Cheng Ku Qing Qu 32 3 0 19 Mar 2024
Early Directional Convergence in Deep Homogeneous Neural Networks for Small Initializations Akshay Kumar Jarvis Haupt ODL 44 3 0 12 Mar 2024
Neural Redshift: Random Networks are not Random Functions Damien Teney A. Nicolicioiu Valentin Hartmann Ehsan Abbasnejad 103 18 0 04 Mar 2024
The Expected Loss of Preconditioned Langevin Dynamics Reveals the Hessian Rank Amitay Bar Rotem Mulayoff T. Michaeli Ronen Talmon 64 0 0 21 Feb 2024
Implicit Bias and Fast Convergence Rates for Self-attention Bhavya Vasudeva Puneesh Deora Christos Thrampoulidis 34 13 0 08 Feb 2024
How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization Nuoya Xiong Lijun Ding Simon S. Du 35 11 0 03 Oct 2023
Enhancing Cross-Category Learning in Recommendation Systems with Multi-Layer Embedding Training Selim F. Yilmaz Benjamin Ghaemmaghami A. Singh Benjamin Cho Leo Orshansky Lei Deng Michael Orshansky AI4TS 28 0 0 27 Sep 2023
Critical Learning Periods Emerge Even in Deep Linear Networks Michael Kleinman Alessandro Achille Stefano Soatto 38 3 0 23 Aug 2023
Early Neuron Alignment in Two-layer ReLU Networks with Small Initialization Hancheng Min Enrique Mallada René Vidal MLT 34 18 0 24 Jul 2023
The Implicit Bias of Batch Normalization in Linear Models and Two-layer Linear Convolutional Neural Networks Yuan Cao Difan Zou Yuan-Fang Li Quanquan Gu MLT 37 5 0 20 Jun 2023
Robust low-rank training via approximate orthonormal constraints Dayana Savostianova Emanuele Zangrando Gianluca Ceruti Francesco Tudisco 24 9 0 02 Jun 2023
Robust Sparse Mean Estimation via Incremental Learning Jianhao Ma Ruidi Chen Yinghui He S. Fattahi Wei Hu 36 0 0 24 May 2023
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models Suzanna Parkinson Greg Ongie Rebecca Willett 65 6 0 24 May 2023
Convergence of Alternating Gradient Descent for Matrix Factorization R. Ward T. Kolda 22 6 0 11 May 2023
Robust Implicit Regularization via Weight Normalization H. Chou Holger Rauhut Rachel A. Ward 33 7 0 09 May 2023
Saddle-to-Saddle Dynamics in Diagonal Linear Networks Scott Pesme Nicolas Flammarion 31 35 0 02 Apr 2023
On the Stepwise Nature of Self-Supervised Learning James B. Simon Maksis Knutins Liu Ziyin Daniel Geisz Abraham J. Fetterman Joshua Albrecht SSL 37 30 0 27 Mar 2023
Critical Points and Convergence Analysis of Generative Deep Linear Networks Trained with Bures-Wasserstein Loss Pierre Bréchet Katerina Papagiannouli Jing An Guido Montúfar 27 3 0 06 Mar 2023
Single-Call Stochastic Extragradient Methods for Structured Non-monotone Variational Inequalities: Improved Analysis under Weaker Conditions S. Choudhury Eduard A. Gorbunov Nicolas Loizou 25 13 0 27 Feb 2023
Implicit regularization in Heavy-ball momentum accelerated stochastic gradient descent Avrajit Ghosh He Lyu Xitong Zhang Rongrong Wang 53 20 0 02 Feb 2023
Implicit Regularization Leads to Benign Overfitting for Sparse Linear Regression Mo Zhou Rong Ge 29 2 0 01 Feb 2023
Generalization on the Unseen, Logic Reasoning and Degree Curriculum Emmanuel Abbe Samy Bengio Aryo Lotfi Kevin Rizk LRM 39 49 0 30 Jan 2023
Understanding Incremental Learning of Gradient Descent: A Fine-grained Analysis of Matrix Sensing Jikai Jin Zhiyuan Li Kaifeng Lyu S. Du Jason D. Lee MLT 54 34 0 27 Jan 2023
WLD-Reg: A Data-dependent Within-layer Diversity Regularizer Firas Laakom Jenni Raitoharju Alexandros Iosifidis Moncef Gabbouj AI4CE 29 7 0 03 Jan 2023
Effects of Data Geometry in Early Deep Learning Saket Tiwari George Konidaris 79 7 0 29 Dec 2022
Norm of Word Embedding Encodes Information Gain Momose Oyama Sho Yokoi Hidetoshi Shimodaira 17 11 0 19 Dec 2022
Task Discovery: Finding the Tasks that Neural Networks Generalize on Andrei Atanov Andrei Filatov Teresa Yeo Ajay Sohmshetty Amir Zamir OOD 45 10 0 01 Dec 2022
Infinite-width limit of deep linear neural networks Lénaïc Chizat Maria Colombo Xavier Fernández-Real Alessio Figalli 31 14 0 29 Nov 2022
Same Pre-training Loss, Better Downstream: Implicit Bias Matters for Language Models Hong Liu Sang Michael Xie Zhiyuan Li Tengyu Ma AI4CE 40 49 0 25 Oct 2022
Deep Linear Networks for Matrix Completion -- An Infinite Depth Limit Nadav Cohen Govind Menon Zsolt Veraszto ODL 29 7 0 22 Oct 2022
Behind the Scenes of Gradient Descent: A Trajectory Analysis via Basis Function Decomposition Jianhao Ma Li-Zhen Guo S. Fattahi 38 4 0 01 Oct 2022
Implicit Bias of Large Depth Networks: a Notion of Rank for Nonlinear Functions Arthur Jacot 36 25 0 29 Sep 2022
A Validation Approach to Over-parameterized Matrix and Image Recovery Lijun Ding Zhen Qin Liwei Jiang Jinxin Zhou Zhihui Zhu 48 13 0 21 Sep 2022
Deep Linear Networks can Benignly Overfit when Shallow Ones Do Niladri S. Chatterji Philip M. Long 23 8 0 19 Sep 2022
On the Implicit Bias in Deep-Learning Algorithms Gal Vardi FedML AI4CE 34 72 0 26 Aug 2022
The Neural Race Reduction: Dynamics of Abstraction in Gated Networks Andrew M. Saxe Shagun Sodhani Sam Lewallen AI4CE 28 34 0 21 Jul 2022
Implicit Regularization with Polynomial Growth in Deep Tensor Factorization Kais Hariz Hachem Kadri Stéphane Ayache Maher Moakher Thierry Artières 26 2 0 18 Jul 2022