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We prove that any algorithm for learning parities requires either a memory of quadratic size or an exponential number of samples. This proves a recent conjecture of Steinhardt, Valiant and Wager and shows that for some learning problems a…

Machine Learning · Computer Science 2016-02-17 Ran Raz

Online kernel selection is a fundamental problem of online kernel methods.In this paper,we study online kernel selection with memory constraint in which the memory of kernel selection and online prediction procedures is limited to a fixed…

Machine Learning · Computer Science 2025-03-25 Junfan Li , Shizhong Liao

The ability of artificial agents to increment their capabilities when confronted with new data is an open challenge in artificial intelligence. The main challenge faced in such cases is catastrophic forgetting, i.e., the tendency of neural…

Machine Learning · Computer Science 2020-12-16 Eden Belouadah , Adrian Popescu , Ioannis Kanellos

Machine unlearning methods take a model trained on a dataset and a forget set, then attempt to produce a model as if it had only been trained on the examples not in the forget set. We empirically show that an adversary is able to…

Machine Learning · Computer Science 2025-05-14 Brennon Brimhall , Philip Mathew , Neil Fendley , Yinzhi Cao , Matthew Green

In the field of machine unlearning, certified unlearning has been extensively studied in convex machine learning models due to its high efficiency and strong theoretical guarantees. However, its application to deep neural networks (DNNs),…

Machine Learning · Computer Science 2026-04-23 Binchi Zhang , Yushun Dong , Tianhao Wang , Jundong Li

Large language models (LLMs) have shown remarkable proficiency in generating text, benefiting from extensive training on vast textual corpora. However, LLMs may also acquire unwanted behaviors from the diverse and sensitive nature of their…

Computation and Language · Computer Science 2025-03-24 Zhiwei Zhang , Fali Wang , Xiaomin Li , Zongyu Wu , Xianfeng Tang , Hui Liu , Qi He , Wenpeng Yin , Suhang Wang

Machine unlearning for large language models (LLMs) aims to remove undesired data, knowledge, and behaviors (e.g., for safety, privacy, or copyright) while preserving useful model capabilities. Despite rapid progress over the past two…

Machine Learning · Computer Science 2025-10-10 Chongyu Fan , Changsheng Wang , Yancheng Huang , Soumyadeep Pal , Sijia Liu

Nowadays, machine learning models, especially neural networks, become prevalent in many real-world applications.These models are trained based on a one-way trip from user data: as long as users contribute their data, there is no way to…

Machine Learning · Computer Science 2021-08-03 Yang Liu , Zhuo Ma , Ximeng Liu , Jian Liu , Zhongyuan Jiang , Jianfeng Ma , Philip Yu , Kui Ren

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…

Machine Learning · Computer Science 2025-05-22 O. Deniz Kose , Gonzalo Mateos , Yanning Shen

Modern machine learning models are complex and frequently encode surprising amounts of information about individual inputs. In extreme cases, complex models appear to memorize entire input examples, including seemingly irrelevant…

Machine Learning · Computer Science 2021-07-23 Gavin Brown , Mark Bun , Vitaly Feldman , Adam Smith , Kunal Talwar

Duplication is a prevalent issue within datasets. Existing research has demonstrated that the presence of duplicated data in training datasets can significantly influence both model performance and data privacy. However, the impact of data…

Cryptography and Security · Computer Science 2025-07-17 Dayong Ye , Tianqing Zhu , Jiayang Li , Kun Gao , Bo Liu , Leo Yu Zhang , Wanlei Zhou , Yang Zhang

We argue that current definitions of machine unlearning are underspecified for second-order optimizers. We compare first-order and second-order learners for their ability to handle the data deletion task with varying degrees of…

Machine Learning · Computer Science 2026-04-28 Kennon Stewart

Machine Unlearning has emerged as a critical area in artificial intelligence, addressing the need to selectively remove learned data from machine learning models in response to data privacy regulations. This paper provides a comprehensive…

Large Language Models (LLMs) have shown strong potential in accelerating digital hardware design through automated code generation. Yet, ensuring their reliability remains a critical challenge, as existing LLMs trained on massive…

Machine Learning · Computer Science 2025-12-08 Yiwen Liang , Qiufeng Li , Shikai Wang , Weidong Cao

Methods for knowledge editing and unlearning in large language models seek to edit or remove undesirable knowledge or capabilities without compromising general language modeling performance. This work investigates how mechanistic…

Machine Learning · Computer Science 2024-12-06 Phillip Guo , Aaquib Syed , Abhay Sheshadri , Aidan Ewart , Gintare Karolina Dziugaite

The rapid advancement of text-to-image Diffusion Models has led to their widespread public accessibility. However these models, trained on large internet datasets, can sometimes generate undesirable outputs. To mitigate this, approximate…

Machine Learning · Computer Science 2024-11-05 Andrea Schioppa , Emiel Hoogeboom , Jonathan Heek

The core challenge of machine unlearning is to strike a balance between target knowledge removal and non-target knowledge retention. In the context of Multimodal Large Language Models (MLLMs), this challenge becomes even more pronounced, as…

Artificial Intelligence · Computer Science 2026-05-08 Yuhang Wang , Zhenxing Niu , Haoxuan Ji , Guangyu He , Linlin Zhang , Haichang Gao

Machine unlearning aims to remove specific data influences from trained models, a capability essential for adhering to copyright laws and ensuring AI safety. Current unlearning metrics typically measure success by monitoring the model's…

Cryptography and Security · Computer Science 2025-12-24 Hengrui Jia , Taoran Li , Jonas Guan , Varun Chandrasekaran

Operator learning has emerged as a new paradigm for the data-driven approximation of nonlinear operators. Despite its empirical success, the theoretical underpinnings governing the conditions for efficient operator learning remain…

Machine Learning · Computer Science 2024-10-21 Nikola B. Kovachki , Samuel Lanthaler , Hrushikesh Mhaskar

Machine learning models trained on vast amounts of real or synthetic data often achieve outstanding predictive performance across various domains. However, this utility comes with increasing concerns about privacy, as the training data may…

Cryptography and Security · Computer Science 2024-07-09 Binhao Ma , Tianhang Zheng , Hongsheng Hu , Di Wang , Shuo Wang , Zhongjie Ba , Zhan Qin , Kui Ren