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We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

Machine Learning · Computer Science 2019-07-02 Matthew Streeter

Maximizing a monotone submodular function is a fundamental task in machine learning. In this paper, we study the deletion robust version of the problem under the classic matroids constraint. Here the goal is to extract a small size summary…

Data Structures and Algorithms · Computer Science 2024-02-20 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

Optimization and Control · Mathematics 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Machine unlearning refers to mechanisms that can remove the influence of a subset of training data upon request from a trained model without incurring the cost of re-training from scratch. This paper develops a unified PAC-Bayesian…

Machine Learning · Computer Science 2021-06-02 Sharu Theresa Jose , Osvaldo Simeone

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 Learning · Computer Science 2026-02-04 Somnath Basu Roy Chowdhury , Rahul Kidambi , Avinava Dubey , David Wang , Gokhan Mergen , Amr Ahmed , Aranyak Mehta

Machine unlearning seeks to remove the influence of specific training data from a model, a need driven by privacy regulations and robustness concerns. Existing approaches typically modify model parameters, but such updates can be unstable,…

Machine Learning · Computer Science 2026-05-29 Antonio Almudévar , Alfonso Ortega

We formulate the machine unlearning problem as a general constrained optimization problem. It unifies the first-order methods from the approximate machine unlearning literature. This paper then introduces the concept of feasible updates as…

Machine Learning · Computer Science 2025-11-05 Virgile Dine , Teddy Furon , Charly Faure

Machine unlearning offers a practical alternative to avoid full model re-training by approximately removing the influence of specific user data. While existing methods certify unlearning via statistical indistinguishability from re-trained…

Machine Learning · Computer Science 2026-02-02 Hsiang Hsu , Pradeep Niroula , Zichang He , Ivan Brugere , Freddy Lecue , Chun-Fu Chen

Machine Learning models thrive on vast datasets, continuously adapting to provide accurate predictions and recommendations. However, in an era dominated by privacy concerns, Machine Unlearning emerges as a transformative approach, enabling…

Machine Learning · Computer Science 2025-12-10 Robert Dilworth

With the deluge of digitized information in the Big Data era, massive datasets are becoming increasingly available for learning predictive models. However, in many practical situations, the poor control of the data acquisition processes may…

Machine Learning · Statistics 2022-11-02 Stephan Clémençon , Pierre Laforgue

As models are getting larger and are trained on increasing amounts of data, there has been an explosion of interest into how we can ``delete'' specific data points or behaviours from a trained model, after the fact. This goal has been…

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

In this paper, we study a simple and generic framework to tackle the problem of learning model parameters when a fraction of the training samples are corrupted. We first make a simple observation: in a variety of such settings, the…

Machine Learning · Computer Science 2019-02-20 Yanyao Shen , Sujay Sanghavi

The objective of this study is to develop a good risk model for classifying business delinquency by simultaneously exploring several machine learning based methods including regularization, hyper-parameter optimization, and model ensembling…

Machine Learning · Computer Science 2020-10-13 Yan Wang , Xuelei Sherry Ni

Machine unlearning enables the removal of specific data from ML models to uphold the right to be forgotten. While approximate unlearning algorithms offer efficient alternatives to full retraining, this work reveals that they fail to…

Machine Learning · Computer Science 2025-07-29 Yaxin Xiao , Qingqing Ye , Li Hu , Huadi Zheng , Haibo Hu , Zi Liang , Haoyang Li , Yijie Jiao

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…

Machine Learning · Computer Science 2021-07-23 Ayush Sekhari , Jayadev Acharya , Gautam Kamath , Ananda Theertha Suresh

Removing information from a machine learning model is a non-trivial task that requires to partially revert the training process. This task is unavoidable when sensitive data, such as credit card numbers or passwords, accidentally enter the…

Machine Learning · Computer Science 2023-08-08 Alexander Warnecke , Lukas Pirch , Christian Wressnegger , Konrad Rieck

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…

Machine Learning · Computer Science 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Machine unlearning poses the challenge of ``how to eliminate the influence of specific data from a pretrained model'' in regard to privacy concerns. While prior research on approximated unlearning has demonstrated accuracy and efficiency in…

Machine Learning · Computer Science 2025-04-21 Khoa Tran , Simon S. Woo

Max-norm regularizer has been extensively studied in the last decade as it promotes an effective low-rank estimation for the underlying data. However, such max-norm regularized problems are typically formulated and solved in a batch manner,…

Machine Learning · Statistics 2016-05-17 Jie Shen , Huan Xu , Ping Li