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Matrix sensing is the problem of reconstructing a low-rank matrix from a few linear measurements. In many applications such as collaborative filtering, the famous Netflix prize problem, and seismic data interpolation, there exists some…

信息论 · 计算机科学 2019-04-30 Sajad Daei , Arash Amini , Farzan Haddadi

Batch Normalization (BN) has become an out-of-box technique to improve deep network training. However, its effectiveness is limited for micro-batch training, i.e., each GPU typically has only 1-2 images for training, which is inevitable for…

计算机视觉与模式识别 · 计算机科学 2020-08-11 Siyuan Qiao , Huiyu Wang , Chenxi Liu , Wei Shen , Alan Yuille

We present a subspace system identification method based on weighted nuclear norm approximation. The weight matrices used in the nuclear norm minimization are the same weights as used in standard subspace identification methods. We show…

系统与控制 · 计算机科学 2016-11-18 Anders Hansson , Zhang Liu , Lieven Vandenberghe

In this paper, we introduce weight prediction into the AdamW optimizer to boost its convergence when training the deep neural network (DNN) models. In particular, ahead of each mini-batch training, we predict the future weights according to…

机器学习 · 计算机科学 2023-08-09 Lei Guan

In this work, we present some applications of random matrix theory for the training of deep neural networks. Recently, random matrix theory (RMT) has been applied to the overfitting problem in deep learning. Specifically, it has been shown…

机器学习 · 计算机科学 2023-03-17 Yitzchak Shmalo , Jonathan Jenkins , Oleksii Krupchytskyi

Batch normalization is widely used in deep learning to normalize intermediate activations. Deep networks suffer from notoriously increased training complexity, mandating careful initialization of weights, requiring lower learning rates,…

机器学习 · 统计学 2022-10-19 Lakshmi Annamalai , Chetan Singh Thakur

Deep neural networks (DNNs) have been used to create models for many complex analysis problems like image recognition and medical diagnosis. DNNs are a popular tool within machine learning due to their ability to model complex patterns and…

机器学习 · 计算机科学 2024-05-14 Parth Patil , Ben Boardley , Jack Gardner , Emily Loiselle , Deerajkumar Parthipan

Neural Network based models have been state-of-the-art models for various Natural Language Processing tasks, however, the input and output dimension problem in the networks has still not been fully resolved, especially in text generation…

计算与语言 · 计算机科学 2020-01-27 Jinyang Liu , Yujia Zhai , Zizhong Chen

Permutation symmetries of deep networks make basic operations like model merging and similarity estimation challenging. In many cases, aligning the weights of the networks, i.e., finding optimal permutations between their weights, is…

机器学习 · 计算机科学 2024-11-12 Aviv Navon , Aviv Shamsian , Ethan Fetaya , Gal Chechik , Nadav Dym , Haggai Maron

This paper examines the quantization methods used in large-scale data analysis models and their hyperparameter choices. The recent surge in data analysis scale has significantly increased computational resource requirements. To address…

机器学习 · 统计学 2024-01-31 Shuhei Kashiwamura , Ayaka Sakata , Masaaki Imaizumi

Large pre-trained models, or foundation models, have shown impressive performance when adapted to a variety of downstream tasks, often out-performing specialized models. Hypernetworks, neural networks that generate some or all of the…

机器学习 · 计算机科学 2025-03-04 Jeffrey Gu , Serena Yeung-Levy

Neural networks are widespread due to their powerful performance. Yet, they degrade in the presence of noisy labels at training time. Inspired by the setting of learning with expert advice, where multiplicative weights (MW) updates were…

机器学习 · 计算机科学 2025-11-12 Noga Bar , Tomer Koren , Raja Giryes

We present a novel regularization approach to train neural networks that enjoys better generalization and test error than standard stochastic gradient descent. Our approach is based on the principles of cross-validation, where a validation…

计算机视觉与模式识别 · 计算机科学 2018-09-06 Simon Jenni , Paolo Favaro

Motivated by surprisingly good generalization properties of learned deep neural networks in overparameterized scenarios and by the related double descent phenomenon, this paper analyzes the relation between smoothness and low generalization…

机器学习 · 计算机科学 2021-10-29 Yuege Xie , Hung-Hsu Chou , Holger Rauhut , Rachel Ward

This paper presents a regularized Newton method (RNM) with generalized regularization terms for unconstrained convex optimization problems. The generalized regularization includes quadratic, cubic, and elastic net regularizations as special…

最优化与控制 · 数学 2024-07-11 Yuya Yamakawa , Nobuo Yamashita

Weighted nuclear norm minimization has been recently recognized as a technique for reconstruction of a low-rank matrix from compressively sampled measurements when some prior information about the column and row subspaces of the matrix is…

信息论 · 计算机科学 2022-04-27 Hamideh Sadat Fazael Ardakani , Sajad Daei , Farzan Haddadi

We introduce canonical weight normalization for convolutional neural networks. Inspired by the canonical tensor decomposition, we express the weight tensors in so-called canonical networks as scaled sums of outer vector products. In…

机器学习 · 计算机科学 2022-06-06 Lokesh Veeramacheneni , Moritz Wolter , Reinhard Klein , Jochen Garcke

Over-parameterization and adaptive methods have played a crucial role in the success of deep learning in the last decade. The widespread use of over-parameterization has forced us to rethink generalization by bringing forth new phenomena,…

机器学习 · 统计学 2020-12-01 Vatsal Shah , Soumya Basu , Anastasios Kyrillidis , Sujay Sanghavi

Proper regularization is critical for speeding up training, improving generalization performance, and learning compact models that are cost efficient. We propose and analyze regularized gradient descent algorithms for learning shallow…

机器学习 · 计算机科学 2018-06-08 Samet Oymak

Deep Neural Networks reached state-of-the-art performance across numerous domains, but this progress has come at the cost of increasingly large and over-parameterized models, posing serious challenges for deployment on resource-constrained…

机器学习 · 计算机科学 2026-02-04 Dario Malchiodi , Mattia Ferraretto , Marco Frasca