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We give a simple proof for the global convergence of gradient descent in training deep ReLU networks with the standard square loss, and show some of its improvements over the state-of-the-art. In particular, while prior works require all…

机器学习 · 计算机科学 2021-06-14 Quynh Nguyen

We explore machine unlearning (MU) in the domain of large language models (LLMs), referred to as LLM unlearning. This initiative aims to eliminate undesirable data influence (e.g., sensitive or illegal information) and the associated model…

We present a machine unlearning approach that is both retraining- and label-free. Most existing machine unlearning approaches require a model to be fine-tuned to remove information while preserving performance. This is computationally…

机器学习 · 计算机科学 2024-03-01 Jack Foster , Stefan Schoepf , Alexandra Brintrup

Deep neural networks often rely on spurious correlations in training data, leading to biased or unfair predictions in safety-critical domains such as medicine and autonomous driving. While conventional bias mitigation typically requires…

计算机视觉与模式识别 · 计算机科学 2025-09-10 Sai Siddhartha Chary Aylapuram , Veeraraju Elluru , Shivang Agarwal

In this article we study the stochastic gradient descent (SGD) optimization method in the training of fully-connected feedforward artificial neural networks with ReLU activation. The main result of this work proves that the risk of the SGD…

数值分析 · 数学 2022-09-28 Arnulf Jentzen , Adrian Riekert

Machine unlearning refers to the task of removing a subset of training data, thereby removing its contributions to a trained model. Approximate unlearning are one class of methods for this task which avoid the need to retrain the model from…

机器学习 · 计算机科学 2022-09-14 Ambrish Rawat , James Requeima , Wessel Bruinsma , Richard Turner

Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

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

We study the problem of unlearning datapoints from a learnt model. The learner first receives a dataset $S$ drawn i.i.d. from an unknown distribution, and outputs a model $\widehat{w}$ that performs well on unseen samples from the same…

机器学习 · 计算机科学 2021-07-23 Ayush Sekhari , Jayadev Acharya , Gautam Kamath , Ananda Theertha Suresh

In this work, we study the training and generalization performance of two-layer neural networks (NNs) after one gradient descent step under structured data modeled by Gaussian mixtures. While previous research has extensively analyzed this…

机器学习 · 统计学 2025-05-20 Samet Demir , Zafer Dogan

We analyze recurrent neural networks with diagonal hidden-to-hidden weight matrices, trained with gradient descent in the supervised learning setting, and prove that gradient descent can achieve optimality \emph{without} massive…

机器学习 · 计算机科学 2024-10-11 Semih Cayci , Atilla Eryilmaz

We study the implicit regularization imposed by gradient descent for learning multi-layer homogeneous functions including feed-forward fully connected and convolutional deep neural networks with linear, ReLU or Leaky ReLU activation. We…

机器学习 · 计算机科学 2018-11-01 Simon S. Du , Wei Hu , Jason D. Lee

A remarkable recent discovery in machine learning has been that deep neural networks can achieve impressive performance (in terms of both lower training error and higher generalization capacity) in the regime where they are massively…

机器学习 · 计算机科学 2020-03-03 Thanh V. Nguyen , Raymond K. W. Wong , Chinmay Hegde

Machine unlearning is the process of efficiently removing specific information from a trained machine learning model without retraining from scratch. Existing unlearning methods, which often provide provable guarantees, typically involve…

Machine unlearning is a process to remove specific data points from a trained model while maintaining the performance on the retain data, addressing privacy or legal requirements. Despite its importance, existing unlearning evaluations tend…

机器学习 · 计算机科学 2026-01-30 Yongwoo Kim , Sungmin Cha , Donghyun Kim

We study the least-square regression problem with a two-layer fully-connected neural network, with ReLU activation function, trained by gradient flow. Our first result is a generalization result, that requires no assumptions on the…

机器学习 · 计算机科学 2024-10-10 Junhyung Park , Patrick Bloebaum , Shiva Prasad Kasiviswanathan

The growing enforcement of the right to be forgotten regulations has propelled recent advances in certified (graph) unlearning strategies to comply with data removal requests from deployed machine learning (ML) models. Motivated by the…

机器学习 · 计算机科学 2025-05-22 O. Deniz Kose , Gonzalo Mateos , Yanning Shen

It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

机器学习 · 计算机科学 2024-05-21 G. Welper

Machine Unlearning allows participants to remove their data from a trained machine learning model in order to preserve their privacy, and security. However, the machine unlearning literature for generative models is rather limited. The…

机器学习 · 计算机科学 2025-06-25 Ayush K. Varshney , Vicenç Torra

Machine unlearning seeks to remove the influence of particular data or class from trained models to meet privacy, legal, or ethical requirements. Existing unlearning methods tend to forget shallowly: phenomenon of an unlearned model pretend…

机器学习 · 计算机科学 2025-07-23 Jaeheun Jung , Bosung Jung , Suhyun Bae , Donghun Lee
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