English
Related papers

Related papers: Provable Unlearning with Gradient Ascent on Two-La…

200 papers

Machine unlearning algorithms aim to remove the impact of selected training data from a model without the computational expenses of retraining from scratch. Two such algorithms are ``Descent-to-Delete" (D2D) and ``Rewind-to-Delete" (R2D),…

Machine Learning · Computer Science 2026-03-02 Siqiao Mu , Diego Klabjan

Recently, several studies have proven the global convergence and generalization abilities of the gradient descent method for two-layer ReLU networks. Most studies especially focused on the regression problems with the squared loss function,…

Machine Learning · Statistics 2020-03-19 Atsushi Nitanda , Geoffrey Chinot , Taiji Suzuki

Machine unlearning (MU) seeks to remove knowledge of specific data samples from trained models without the necessity for complete retraining, a task made challenging by the dual objectives of effective erasure of data and maintaining the…

Machine Learning · Computer Science 2024-07-16 Mark He Huang , Lin Geng Foo , Jun Liu

Machine Unlearning, the process of selectively eliminating the influence of certain data examples used during a model's training, has gained significant attention as a means for practitioners to comply with recent data protection…

Machine Learning · Computer Science 2024-03-22 Daniel Trippa , Cesare Campagnano , Maria Sofia Bucarelli , Gabriele Tolomei , Fabrizio Silvestri

We study the implicit bias of gradient descent methods in solving a binary classification problem over a linearly separable dataset. The classifier is described by a nonlinear ReLU model and the objective function adopts the exponential…

Machine Learning · Computer Science 2018-10-17 Tengyu Xu , Yi Zhou , Kaiyi Ji , Yingbin Liang

Machine unlearning is a complex process that necessitates the model to diminish the influence of the training data while keeping the loss of accuracy to a minimum. Despite the numerous studies on machine unlearning in recent years, the…

Machine Learning · Computer Science 2024-05-14 Zixin Wang , Kongyang Chen

In this paper, we study the implicit regularization of the gradient descent algorithm in homogeneous neural networks, including fully-connected and convolutional neural networks with ReLU or LeakyReLU activations. In particular, we study…

Machine Learning · Computer Science 2021-01-01 Kaifeng Lyu , Jian Li

Machine unlearning aims to remove the influence of specific data from trained models while preserving general utility. Existing approximate unlearning methods often rely on performance-degradation heuristics, such as loss maximization or…

Machine Learning · Computer Science 2026-03-13 Jonas Mirlach , Sonia Laguna , Julia E. Vogt

The generalization mystery of overparametrized deep nets has motivated efforts to understand how gradient descent (GD) converges to low-loss solutions that generalize well. Real-life neural networks are initialized from small random values…

Machine Learning · Computer Science 2021-11-10 Kaifeng Lyu , Zhiyuan Li , Runzhe Wang , Sanjeev Arora

Machine unlearning aims to efficiently remove the influence of specific training data from a model without full retraining. While much progress has been made in unlearning for LLMs, document classification models remain relatively…

Machine Learning · Computer Science 2025-12-17 Aadya Goel , Mayuri Sridhar

Recent progress in Machine Unlearning (MU) has introduced solutions for the selective removal of private or sensitive information encoded within deep neural networks. Nonetheless, MU for Multimodal Large Language Models (MLLMs) remains in…

Computation and Language · Computer Science 2025-05-28 Jiahao Huo , Yibo Yan , Xu Zheng , Yuanhuiyi Lyu , Xin Zou , Zhihua Wei , Xuming Hu

For ethical and safe AI, machine unlearning rises as a critical topic aiming to protect sensitive, private, and copyrighted knowledge from misuse. To achieve this goal, it is common to conduct gradient ascent (GA) to reverse the training on…

Machine Learning · Computer Science 2026-02-09 Zhuo Huang , Qizhou Wang , Ziming Hong , Shanshan Ye , Bo Han , Tongliang Liu

We present a principled, per-instance approach to quantifying the difficulty of unlearning via fine-tuning. We begin by sharpening an analysis of noisy gradient descent for unlearning (Chien et al., 2024), obtaining a better…

One of the mysteries in the success of neural networks is randomly initialized first order methods like gradient descent can achieve zero training loss even though the objective function is non-convex and non-smooth. This paper demystifies…

Machine Learning · Computer Science 2019-02-06 Simon S. Du , Xiyu Zhai , Barnabas Poczos , Aarti Singh

Unlearning algorithms aim to remove deleted data's influence from trained models at a cost lower than full retraining. However, prior guarantees of unlearning in literature are flawed and don't protect the privacy of deleted records. We…

Machine Learning · Statistics 2023-02-15 Rishav Chourasia , Neil Shah

We study the problem of learning one-hidden-layer neural networks with Rectified Linear Unit (ReLU) activation function, where the inputs are sampled from standard Gaussian distribution and the outputs are generated from a noisy teacher…

Machine Learning · Statistics 2018-06-21 Xiao Zhang , Yaodong Yu , Lingxiao Wang , Quanquan Gu

Machine unlearning has been used to remove unwanted knowledge acquired by large language models (LLMs). In this paper, we examine machine unlearning from an optimization perspective, framing it as a regularized multi-task optimization…

Machine Learning · Computer Science 2025-05-07 Zhiqi Bu , Xiaomeng Jin , Bhanukiran Vinzamuri , Anil Ramakrishna , Kai-Wei Chang , Volkan Cevher , Mingyi Hong

Large Language Models (LLMs) have demonstrated strong reasoning and memorization capabilities via pretraining on massive textual corpora. However, this poses risk of privacy and copyright violations, highlighting the need for efficient…

Machine Learning · Computer Science 2025-04-28 Sungmin Cha , Sungjun Cho , Dasol Hwang , Moontae Lee

When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

Machine Learning · Computer Science 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

The implicit biases of gradient-based optimization algorithms are conjectured to be a major factor in the success of modern deep learning. In this work, we investigate the implicit bias of gradient flow and gradient descent in two-layer…

Machine Learning · Computer Science 2022-10-14 Spencer Frei , Gal Vardi , Peter L. Bartlett , Nathan Srebro , Wei Hu