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Although deep learning has shown its powerful performance in many applications, the mathematical principles behind neural networks are still mysterious. In this paper, we consider the problem of learning a one-hidden-layer neural network…

Machine Learning · Computer Science 2019-07-17 Shuhao Xia , Yuanming Shi

While deep learning has outperformed other methods for various tasks, theoretical frameworks that explain its reason have not been fully established. To address this issue, we investigate the excess risk of two-layer ReLU neural networks in…

Machine Learning · Statistics 2022-06-07 Shunta Akiyama , Taiji Suzuki

Deep learning models are often successfully trained using gradient descent, despite the worst case hardness of the underlying non-convex optimization problem. The key question is then under what conditions can one prove that optimization…

Machine Learning · Computer Science 2017-02-28 Alon Brutzkus , Amir Globerson

Machine unlearning techniques, which involve retracting data records and reducing influence of said data on trained models, help with the user privacy protection objective but incur significant computational costs. Weight perturbation-based…

Machine Learning · Computer Science 2025-01-16 Zhiwei Zuo , Zhuo Tang , Kenli Li , Anwitaman Datta

Machine unlearning algorithms are increasingly important as legal concerns arise around the provenance of training data, but verifying the success of unlearning is often difficult. Provable guarantees for unlearning are often limited to…

Machine Learning · Computer Science 2025-04-22 Stanley Wei , Sadhika Malladi , Sanjeev Arora , Amartya Sanyal

Machine unlearning has raised significant interest with the adoption of laws ensuring the ``right to be forgotten''. Researchers have provided a probabilistic notion of approximate unlearning under a similar definition of Differential…

Machine Learning · Computer Science 2025-09-25 Eli Chien , Haoyu Wang , Ziang Chen , Pan Li

The rapid growth of machine learning has spurred legislative initiatives such as ``the Right to be Forgotten,'' allowing users to request data removal. In response, ``machine unlearning'' proposes the selective removal of unwanted data…

Machine Learning · Computer Science 2023-12-25 Guihong Li , Hsiang Hsu , Chun-Fu Chen , Radu Marculescu

Understanding the asymptotic behavior of gradient-descent training of deep neural networks is essential for revealing inductive biases and improving network performance. We derive the infinite-time training limit of a mathematically…

Machine Learning · Statistics 2022-02-08 Samuel Lippl , L. F. Abbott , SueYeon Chung

We propose an algorithm for meta-learning that is model-agnostic, in the sense that it is compatible with any model trained with gradient descent and applicable to a variety of different learning problems, including classification,…

Machine Learning · Computer Science 2017-07-19 Chelsea Finn , Pieter Abbeel , Sergey Levine

Machine Unlearning is an emerging paradigm for selectively removing the impact of training datapoints from a network. Unlike existing methods that target a limited subset or a single class, our framework unlearns all classes in a single…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Samuele Poppi , Sara Sarto , Marcella Cornia , Lorenzo Baraldi , Rita Cucchiara

The dynamics of gradient-based training in neural networks often exhibit nontrivial structures; hence, understanding them remains a central challenge in theoretical machine learning. In particular, a concept of feature unlearning, in which…

Machine Learning · Computer Science 2026-02-10 Shota Imai , Sota Nishiyama , Masaaki Imaizumi

Large-scale generative models have shown impressive image-generation capabilities, propelled by massive data. However, this often inadvertently leads to the generation of harmful or inappropriate content and raises copyright concerns.…

Machine Learning · Computer Science 2025-03-11 Myeongseob Ko , Henry Li , Zhun Wang , Jonathan Patsenker , Jiachen T. Wang , Qinbin Li , Ming Jin , Dawn Song , Ruoxi Jia

We examine gradient descent on unregularized logistic regression problems, with homogeneous linear predictors on linearly separable datasets. We show the predictor converges to the direction of the max-margin (hard margin SVM) solution. The…

Machine Learning · Statistics 2024-10-29 Daniel Soudry , Elad Hoffer , Mor Shpigel Nacson , Suriya Gunasekar , Nathan Srebro

Machine unlearning (MU) aims to remove the influence of particular data points from the learnable parameters of a trained machine learning model. This is a crucial capability in light of data privacy requirements, trustworthiness, and…

Machine Learning · Computer Science 2025-07-01 Xavier F. Cadet , Anastasia Borovykh , Mohammad Malekzadeh , Sara Ahmadi-Abhari , Hamed Haddadi

Exact unlearning was first introduced as a privacy mechanism that allowed a user to retract their data from machine learning models on request. Shortly after, inexact schemes were proposed to mitigate the impractical costs associated with…

This study investigates the machine unlearning techniques within the context of large language models (LLMs), referred to as \textit{LLM unlearning}. LLM unlearning offers a principled approach to removing the influence of undesirable data…

Computation and Language · Computer Science 2025-06-03 Jiahui Geng , Qing Li , Herbert Woisetschlaeger , Zongxiong Chen , Fengyu Cai , Yuxia Wang , Preslav Nakov , Hans-Arno Jacobsen , Fakhri Karray

Machine unlearning (MU) aims to efficiently remove sensitive or harmful memory from a pre-trained model. The key challenge is to balance the potential tradeoff between unlearning efficacy and utility preservation, which involves forgetting…

Machine Learning · Computer Science 2026-02-04 Shiji Zhou , Tianbai Yu , Zhi Zhang , Heng Chang , Xiao Zhou , Dong Wu , Han Zhao

Unlearning the data observed during the training of a machine learning (ML) model is an important task that can play a pivotal role in fortifying the privacy and security of ML-based applications. This paper raises the following questions:…

Machine Learning · Computer Science 2023-06-01 Ayush K Tarun , Vikram S Chundawat , Murari Mandal , Mohan Kankanhalli

Natural gradient descent is a principled method for adapting the parameters of a statistical model on-line using an underlying Riemannian parameter space to redefine the direction of steepest descent. The algorithm is examined via methods…

Disordered Systems and Neural Networks · Physics 2009-10-31 Magnus Rattray , David Saad

The rise of the phenomenon of the "right to be forgotten" has prompted research on machine unlearning, which grants data owners the right to actively withdraw data that has been used for model training, and requires the elimination of the…

Machine Learning · Computer Science 2023-08-29 Xulong Zhang , Jianzong Wang , Ning Cheng , Yifu Sun , Chuanyao Zhang , Jing Xiao