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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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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,…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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.…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

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…

机器学习 · 计算机科学 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:…

机器学习 · 计算机科学 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…

无序系统与神经网络 · 物理学 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…

机器学习 · 计算机科学 2023-08-29 Xulong Zhang , Jianzong Wang , Ning Cheng , Yifu Sun , Chuanyao Zhang , Jing Xiao