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This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

Optimization and Control · Mathematics 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

In this work, we consider smooth unconstrained optimization problems and we deal with the class of gradient methods with momentum, i.e., descent algorithms where the search direction is defined as a linear combination of the current…

Optimization and Control · Mathematics 2025-12-04 Matteo Lapucci , Giampaolo Liuzzi , Stefano Lucidi , Davide Pucci , Marco Sciandrone

In this work, we investigate how implicit neural feed back can accelerate reinforcement learning in complex robotic manipulation settings. While prior electroencephalogram (EEG) guided reinforcement learning studies have primarily focused…

Robotics · Computer Science 2025-11-25 Suzie Kim , Hye-Bin Shin , Hyo-Jeong Jang

This paper investigates the distributed stochastic nonconvex and nonsmooth composite optimization problem. Existing stochastic typically rely on uniform step size strictly bounded by global network parameters, such as the maximum node…

Optimization and Control · Mathematics 2026-03-10 Yangming Zhang , Yongyang Xiong , Jinming Xu , Keyou You , Yang Shi

Entropy Minimization (EM) is beneficial to reducing class overlap, bridging domain gap, and restricting uncertainty for various tasks in machine learning, yet its potential is limited. To study the internal mechanism of EM, we reformulate…

Machine Learning · Computer Science 2025-11-06 Jing Ma , Hanlin Li , Xiang Xiang

In this work we investigate stochastic non-convex optimization problems where the objective is an expectation over smooth loss functions, and the goal is to find an approximate stationary point. The most popular approach to handling such…

Optimization and Control · Mathematics 2021-11-02 Kfir Y. Levy , Ali Kavis , Volkan Cevher

We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

Optimization and Control · Mathematics 2015-01-05 Yuchen Zhang , Lin Xiao

Reinforcement learning (RL) fine-tuning of large language models (LLMs) often suffers from instability due to the numerical mismatch between the training and inference policies. While prior work has attempted to mitigate this issue through…

Machine Learning · Computer Science 2025-10-31 Penghui Qi , Zichen Liu , Xiangxin Zhou , Tianyu Pang , Chao Du , Wee Sun Lee , Min Lin

A recent emerging trend in the literature on learning in games has been concerned with providing faster learning dynamics for correlated and coarse correlated equilibria in normal-form games. Much less is known about the significantly more…

Computer Science and Game Theory · Computer Science 2022-02-14 Ioannis Anagnostides , Gabriele Farina , Christian Kroer , Andrea Celli , Tuomas Sandholm

Parallel stochastic gradient methods are gaining prominence in solving large-scale machine learning problems that involve data distributed across multiple nodes. However, obtaining unbiased stochastic gradients, which have been the focus of…

Machine Learning · Computer Science 2025-01-14 Ali Beikmohammadi , Sarit Khirirat , Sindri Magnússon

Federated learning enables a population of clients to collaboratively train machine learning models without exchanging their raw data, but standard algorithms such as FedAvg suffer from slow convergence and high communication and memory…

Machine Learning · Computer Science 2026-04-30 Yutong He , Zhengyang Huang , Jiahe Geng

Gradient descent-based optimization methods underpin the parameter training of neural networks, and hence comprise a significant component in the impressive test results found in a number of applications. Introducing stochasticity is key to…

Machine Learning · Computer Science 2021-06-01 Nikola B. Kovachki , Andrew M. Stuart

Large-scale machine learning models are often trained by parallel stochastic gradient descent algorithms. However, the communication cost of gradient aggregation and model synchronization between the master and worker nodes becomes the…

Machine Learning · Computer Science 2020-07-03 Xiaorui Liu , Yao Li , Jiliang Tang , Ming Yan

Backpropagation learning algorithm, the workhorse of modern artificial intelligence, is notoriously difficult to implement in physical neural networks. Equilibrium Propagation (EP) is an alternative with comparable efficiency and strong…

Machine Learning · Computer Science 2026-03-17 Karol Sajnok , Michał Matuszewski

Federated learning has emerged recently as a promising solution for distributing machine learning tasks through modern networks of mobile devices. Recent studies have obtained lower bounds on the expected decrease in model loss that is…

Signal recovery from unitarily invariant measurements is investigated in this paper. A message-passing algorithm is formulated on the basis of expectation propagation (EP). A rigorous analysis is presented for the dynamics of the algorithm…

Information Theory · Computer Science 2019-05-22 Keigo Takeuchi

Error-bounded lossy compression is becoming an indispensable technique for the success of today's scientific projects with vast volumes of data produced during simulations or instrument data acquisitions. Not only can it significantly…

Machine Learning · Computer Science 2023-10-24 Jinyang Liu , Sheng Di , Kai Zhao , Sian Jin , Dingwen Tao , Xin Liang , Zizhong Chen , Franck Cappello

Diffusion models currently dominate the field of data-driven image synthesis with their unparalleled scaling to large datasets. In this paper, we identify and rectify several causes for uneven and ineffective training in the popular ADM…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Tero Karras , Miika Aittala , Jaakko Lehtinen , Janne Hellsten , Timo Aila , Samuli Laine

We consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach. In more detail, we use the standard reformulation { transforming the original…

Optimization and Control · Mathematics 2020-12-11 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic

The momentum acceleration technique is widely adopted in many optimization algorithms. However, there is no theoretical answer on how the momentum affects the generalization performance of the optimization algorithms. This paper studies…

Machine Learning · Computer Science 2022-05-30 Bohan Wang , Qi Meng , Huishuai Zhang , Ruoyu Sun , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu
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