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Understanding the implicit regularization imposed by neural network architectures and gradient based optimization methods is a key challenge in deep learning and AI. In this work we provide sharp results for the implicit regularization…

机器学习 · 计算机科学 2023-07-17 Johan S. Wind , Vegard Antun , Anders C. Hansen

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

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

机器学习 · 统计学 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

Conventional wisdom in deep learning states that increasing depth improves expressiveness but complicates optimization. This paper suggests that, sometimes, increasing depth can speed up optimization. The effect of depth on optimization is…

机器学习 · 计算机科学 2018-06-12 Sanjeev Arora , Nadav Cohen , Elad Hazan

As deep learning models and datasets rapidly scale up, network training is extremely time-consuming and resource-costly. Instead of training on the entire dataset, learning with a small synthetic dataset becomes an efficient solution.…

机器学习 · 计算机科学 2022-08-02 Zixuan Jiang , Jiaqi Gu , Mingjie Liu , David Z. Pan

Multi-task learning (MTL) trains deep neural networks to optimize several objectives simultaneously using a shared backbone, which leads to reduced computational costs, improved data efficiency, and enhanced performance through cross-task…

机器学习 · 计算机科学 2025-09-30 Hoang Phan , Lam Tran , Quyen Tran , Ngoc N. Tran , Tuan Truong , Qi Lei , Nhat Ho , Dinh Phung , Trung Le

An open question in the Deep Learning community is why neural networks trained with Gradient Descent generalize well on real datasets even though they are capable of fitting random data. We propose an approach to answering this question…

机器学习 · 计算机科学 2020-02-26 Satrajit Chatterjee

Deep neural networks achieve state-of-the-art and sometimes super-human performance across various domains. However, when learning tasks sequentially, the networks easily forget the knowledge of previous tasks, known as "catastrophic…

计算机视觉与模式识别 · 计算机科学 2021-05-18 Shixiang Tang , Dapeng Chen , Jinguo Zhu , Shijie Yu , Wanli Ouyang

Adaptive gradient methods, which adopt historical gradient information to automatically adjust the learning rate, despite the nice property of fast convergence, have been observed to generalize worse than stochastic gradient descent (SGD)…

机器学习 · 计算机科学 2020-06-24 Jinghui Chen , Dongruo Zhou , Yiqi Tang , Ziyan Yang , Yuan Cao , Quanquan Gu

Stochastic gradient descent (SGD) has been the dominant optimization method for training deep neural networks due to its many desirable properties. One of the more remarkable and least understood quality of SGD is that it generalizes…

机器学习 · 计算机科学 2020-07-03 Erhan Bilal

Batch Normalization (BN) has become a cornerstone of deep learning across diverse architectures, appearing to help optimization as well as generalization. While the idea makes intuitive sense, theoretical analysis of its effectiveness has…

机器学习 · 计算机科学 2018-12-11 Sanjeev Arora , Zhiyuan Li , Kaifeng Lyu

When fine-tuning Deep Neural Networks (DNNs) to new data, DNNs are prone to overwriting network parameters required for task-specific functionality on previously learned tasks, resulting in a loss of performance on those tasks. We propose…

机器学习 · 计算机科学 2025-01-22 Christopher Angelini , Nidhal Bouaynaya

The large capacity of neural networks enables them to learn complex functions. To avoid overfitting, networks however require a lot of training data that can be expensive and time-consuming to collect. A common practical approach to…

机器学习 · 计算机科学 2020-03-10 Majed El Helou , Frederike Dümbgen , Sabine Süsstrunk

Deep neural networks (DNNs) have made significant progress, but often suffer from fairness issues, as deep models typically show distinct accuracy differences among certain subgroups (e.g., males and females). Existing research addresses…

机器学习 · 计算机科学 2023-06-28 Tianlin Li , Qing Guo , Aishan Liu , Mengnan Du , Zhiming Li , Yang Liu

In this paper, we present some theoretical work to explain why simple gradient descent methods are so successful in solving non-convex optimization problems in learning large-scale neural networks (NN). After introducing a mathematical tool…

机器学习 · 计算机科学 2023-05-01 Hui Jiang

Improving the generalization ability of modern deep neural networks (DNNs) is a fundamental challenge in machine learning. Two branches of methods have been proposed to seek flat minima and improve generalization: one led by sharpness-aware…

机器学习 · 计算机科学 2024-04-02 Tao Li , Qinghua Tao , Weihao Yan , Zehao Lei , Yingwen Wu , Kun Fang , Mingzhen He , Xiaolin Huang

Recent theoretical studies proved that deep neural network (DNN) estimators obtained by minimizing empirical risk with a certain sparsity constraint can attain optimal convergence rates for regression and classification problems. However,…

统计理论 · 数学 2021-08-10 Ilsang Ohn , Yongdai Kim

In this paper, we propose a novel optimization algorithm for training machine learning models called Input Normalized Stochastic Gradient Descent (INSGD), inspired by the Normalized Least Mean Squares (NLMS) algorithm used in adaptive…

机器学习 · 计算机科学 2023-06-28 Salih Atici , Hongyi Pan , Ahmet Enis Cetin

Despite their impressive performance, Deep Neural Networks (DNNs) typically underperform Gradient Boosting Trees (GBTs) on many tabular-dataset learning tasks. We propose that applying a different regularization coefficient to each weight…

机器学习 · 统计学 2018-10-25 Ira Shavitt , Eran Segal

Recently, flat-minima optimizers, which seek to find parameters in low-loss neighborhoods, have been shown to improve a neural network's generalization performance over stochastic and adaptive gradient-based optimizers. Two methods have…

机器学习 · 计算机科学 2023-01-30 Jean Kaddour , Linqing Liu , Ricardo Silva , Matt J. Kusner