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相关论文: On Newton's Method to Unlearn Neural Networks

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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),…

机器学习 · 计算机科学 2026-04-23 Binchi Zhang , Yushun Dong , Tianhao Wang , Jundong Li

Driven by the right to be forgotten (RTBF), machine unlearning has become an essential requirement for privacy-preserving machine learning. However, its realization in decentralized federated learning (DFL) remains largely unexplored. In…

机器学习 · 计算机科学 2026-01-13 Hengliang Wu , Youming Tao , Anhao Zhou , Shuzhen Chen , Falko Dressler , Dongxiao Yu

Newton's method leverages curvature information to boost performance, and thus outperforms first-order methods for distributed learning problems. However, Newton's method is not practical in large-scale and heterogeneous learning…

机器学习 · 计算机科学 2024-12-18 Shuzhen Chen , Yuan Yuan , Youming Tao , Tianzhu Wang , Zhipeng Cai , Dongxiao Yu

In this paper, we study the iteration complexity of cubic regularization of Newton method for solving composite minimization problems with uniformly convex objective. We introduce the notion of second-order condition number of a certain…

最优化与控制 · 数学 2021-05-21 Nikita Doikov , Yurii Nesterov

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…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Optimization techniques in deep learning are predominantly led by first-order gradient methodologies, such as SGD. However, neural network training can greatly benefit from the rapid convergence characteristics of second-order optimization.…

量子物理 · 物理学 2025-04-30 Pingzhi Li , Junyu Liu , Hanrui Wang , Tianlong Chen

We study the problem of $(\epsilon,\delta)$-certified machine unlearning for minimax models. Most of the existing works focus on unlearning from standard statistical learning models that have a single variable and their unlearning steps…

机器学习 · 计算机科学 2024-10-31 Jiaqi Liu , Jian Lou , Zhan Qin , Kui Ren

Training of convolutional neural networks is a high dimensional and a non-convex optimization problem. At present, it is inefficient in situations where parametric learning rates can not be confidently set. Some past works have introduced…

机器学习 · 计算机科学 2023-04-06 Ujjwal Thakur , Anuj Sharma

Deep neural networks (DNNs) are often trained on the premise that the complete training data set is provided ahead of time. However, in real-world scenarios, data often arrive in chunks over time. This leads to important considerations…

机器学习 · 计算机科学 2023-03-21 Vijaya Raghavan T. Ramkumar , Elahe Arani , Bahram Zonooz

The Newton method has been widely adopted to achieve certified unlearning. A critical assumption in existing approaches is that the data requested for unlearning are selected i.i.d.(independent and identically distributed). However,the…

机器学习 · 计算机科学 2026-01-13 Jinduo Guo , Yinzhi Cao

In the current quantum computing paradigm, significant focus is placed on the reduction or mitigation of quantum decoherence. When designing new quantum processing units, the general objective is to reduce the amount of noise qubits are…

量子物理 · 物理学 2026-02-17 Viacheslav Kuzmin , Wilfrid Somogyi , Ekaterina Pankovets , Alexey Melnikov

Stochastic gradient descent and other first-order variants, such as Adam and AdaGrad, are commonly used in the field of deep learning due to their computational efficiency and low-storage memory requirements. However, these methods do not…

最优化与控制 · 数学 2025-02-19 Aditya Ranganath , Mukesh Singhal , Roummel Marcia

``The right to be forgotten'' ensured by laws for user data privacy becomes increasingly important. Machine unlearning aims to efficiently remove the effect of certain data points on the trained model parameters so that it can be…

机器学习 · 计算机科学 2025-02-04 Eli Chien , Haoyu Wang , Ziang Chen , Pan Li

Learning algorithms and data are the driving forces for machine learning to bring about tremendous transformation of industrial intelligence. However, individuals' right to retract their personal data and relevant data privacy regulations…

机器学习 · 计算机科学 2023-05-23 Junde Li , Swaroop Ghosh

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…

机器学习 · 计算机科学 2025-05-22 O. Deniz Kose , Gonzalo Mateos , Yanning Shen

We develop a randomized Newton's method for solving differential equations, based on a fully connected neural network discretization. In particular, the randomized Newton's method randomly chooses equations from the overdetermined nonlinear…

数值分析 · 数学 2019-12-09 Qipin Chen , Wenrui Hao

Deep learning involves a difficult non-convex optimization problem with a large number of weights between any two adjacent layers of a deep structure. To handle large data sets or complicated networks, distributed training is needed, but…

Kernel pruning methods have been proposed to speed up, simplify, and improve explanation of convolutional neural network (CNN) models. However, the effectiveness of a simplified model is often below the original one. In this letter, we…

机器学习 · 计算机科学 2021-08-19 D. Osaku , J. F. Gomes , A. X. Falcão

Machine unlearning (MU) seeks to remove knowledge of specific data samples from trained models without the necessity for complete retraining, a task made challenging by the dual objectives of effective erasure of data and maintaining the…

机器学习 · 计算机科学 2024-07-16 Mark He Huang , Lin Geng Foo , Jun Liu

Quantum Neural Networks (QNNs) are a promising variational learning paradigm with applications to near-term quantum processors, however they still face some significant challenges. One such challenge is finding good parameter initialization…