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Quadratic approximations form a fundamental building block of machine learning methods. E.g., second-order optimizers try to find the Newton step into the minimum of a local quadratic proxy to the objective function; and the second-order…

Machine Learning · Computer Science 2025-01-29 Lukas Tatzel , Bálint Mucsányi , Osane Hackel , Philipp Hennig

Deep neural networks provide excellent performance for inverse problems such as denoising. However, neural networks can be sensitive to adversarial or worst-case perturbations. This raises the question of whether such networks can be…

Machine Learning · Computer Science 2023-07-25 Anselm Krainovic , Mahdi Soltanolkotabi , Reinhard Heckel

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

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

Gradient descent and coordinate descent are well understood in terms of their asymptotic behavior, but less so in a transient regime often used for approximations in machine learning. We investigate how proper initialization can have a…

Machine Learning · Computer Science 2017-06-14 Hadi Daneshmand , Hamed Hassani , Thomas Hofmann

This paper addresses the efficient computation of Jacobian matrices for programs composed of sequential differentiable subprograms. By representing the overall Jacobian as a chain product of the Jacobians of these subprograms, we reduce the…

Discrete Mathematics · Computer Science 2025-05-12 Simon Märtens , Uwe Naumann

Machine unlearning is the process of removing the impact of a particular set of training samples from a pretrained model. It aims to fulfill the "right to be forgotten", which grants the individuals such as patients the right to reconsider…

Machine Learning · Computer Science 2024-07-11 Reza Nasirigerdeh , Nader Razmi , Julia A. Schnabel , Daniel Rueckert , Georgios Kaissis

Recently machine unlearning (MU) is proposed to remove the imprints of revoked samples from the already trained model parameters, to solve users' privacy concern. Different from the runtime expensive retraining from scratch, there exist two…

Machine Learning · Computer Science 2024-12-20 Mingxin Li , Yizhen Yu , Ning Wang , Zhigang Wang , Xiaodong Wang , Haipeng Qu , Jia Xu , Shen Su , Zhichao Yin

Machine unlearning aims to remove the influence of specific training data from a learned model without full retraining. While recent work has begun to explore unlearning in quantum machine learning, existing approaches largely rely on…

Machine Learning · Computer Science 2026-02-10 Nausherwan Malik , Zubair Khalid , Muhammad Faryad

Machine Unlearning has recently garnered significant attention, aiming to selectively remove knowledge associated with specific data while preserving the model's performance on the remaining data. A fundamental challenge in this process is…

Machine Learning · Computer Science 2025-07-29 Gaurav Patel , Qiang Qiu

Optimization in machine learning typically deals with the minimization of empirical objectives defined by training data. However, the ultimate goal of learning is to minimize the error on future data (test error), for which the training…

Machine Learning · Statistics 2021-11-08 Bernhard Stankewitz , Nicole Mücke , Lorenzo Rosasco

Explainable AI has brought transparency into complex ML blackboxes, enabling, in particular, to identify which features these models use for their predictions. So far, the question of explaining predictive uncertainty, i.e. why a model…

Machine Learning · Computer Science 2024-11-19 Florian Bley , Sebastian Lapuschkin , Wojciech Samek , Grégoire Montavon

In unsupervised combinatorial optimization (UCO), during training, one aims to have continuous decisions that are promising in a probabilistic sense for each training instance, which enables end-to-end training on initially discrete and…

Machine Learning · Computer Science 2025-06-23 Fanchen Bu , Kijung Shin

Numerous Optimization Algorithms have a time-varying update rule thanks to, for instance, a changing step size, momentum parameter or, Hessian approximation. In this paper, we apply unrolled or automatic differentiation to a time-varying…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

Machine unlearning, a process enabling pre-trained models to remove the influence of specific training samples, has attracted significant attention in recent years. Although extensive research has focused on developing efficient machine…

Machine Learning · Computer Science 2026-01-13 Heng Xu , Tianqing Zhu , Dayong Ye , Lefeng Zhang , Le Wang , Wanlei Zhou

Mathematically characterizing the implicit regularization induced by gradient-based optimization is a longstanding pursuit in the theory of deep learning. A widespread hope is that a characterization based on minimization of norms may…

Machine Learning · Computer Science 2020-10-20 Noam Razin , Nadav Cohen

Due to increasing privacy regulations and regulatory compliance, Machine Unlearning (MU) has become essential. The goal of unlearning is to remove information related to a specific class from a model. Traditional approaches achieve exact…

Machine Learning · Computer Science 2024-11-20 Atharv Mittal

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

Machine unlearning has emerged as a prevalent technical solution for selectively removing unwanted knowledge absorbed during pre-training, without requiring full retraining. While recent unlearning techniques can effectively remove…

Machine Learning · Computer Science 2025-11-04 Myeongseob Ko , Hoang Anh Just , Charles Fleming , Ming Jin , Ruoxi Jia

Bilevel optimization is a powerful tool for modeling hierarchical decision making processes. However, the resulting problems are challenging to solve - both in theory and practice. Fortunately, there have been significant algorithmic…

Optimization and Control · Mathematics 2023-01-25 Yasmine Beck , Ivana Ljubić , Martin Schmidt
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