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Ordering has been extensively studied in many visualization applications, such as axis and matrix reordering, for the simple reason that the order will greatly impact the perceived pattern of data. Many quality metrics concerning data…

Machine Learning · Computer Science 2024-12-19 Zehua Yu , Weihan Zhang , Sihan Pan , Jun Tao

This paper develops a model-free volt-VAR optimization (VVO) algorithm via multi-agent deep reinforcement learning (MADRL) in unbalanced distribution systems. This method is novel since we cast the VVO problem in unbalanced distribution…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Ying Zhang , Xinan Wang , Jianhui Wang , Yingchen Zhang

In this paper, we will show an unprecedented method to accelerate training and improve performance, which called random gradient (RG). This method can be easier to the training of any model without extra calculation cost, we use Image…

Machine Learning · Computer Science 2018-08-22 Jiakai Wei

Visual AutoRegressive modeling (VAR) based on next-scale prediction has revitalized autoregressive visual generation. Although its full-context dependency, i.e., modeling all previous scales for next-scale prediction, facilitates more…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Yu Zhang , Jingyi Liu , Yiwei Shi , Qi Zhang , Duoqian Miao , Changwei Wang , Longbing Cao

Parametric manifold optimization problems frequently arise in various machine learning tasks, where state functions are defined on infinite-dimensional manifolds. We propose a unified accelerated natural gradient descent (ANGD) framework to…

Optimization and Control · Mathematics 2025-04-09 Chenyi Li , Shuchen Zhu , Zhonglin Xie , Zaiwen Wen

In this paper, we present a novel derivative-free optimization framework for solving unconstrained stochastic optimization problems. Many problems in fields ranging from simulation optimization to reinforcement learning involve settings…

Optimization and Control · Mathematics 2024-04-19 Raghu Bollapragada , Cem Karamanli , Stefan M. Wild

This work presents a machine learning approach to optimize the energy efficiency (EE) in a multi-cell wireless network. This optimization problem is non-convex and its global optimum is difficult to find. In the literature, either simple…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Bile Peng , Karl-Ludwig Besser , Ramprasad Raghunath , Eduard A. Jorswieck

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

Machine Learning · Computer Science 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

Variational tensor network optimization has become a powerful tool for studying classical statistical models in two dimensions. However, its application to three-dimensional systems remains limited, primarily due to the high computational…

Statistical Mechanics · Physics 2025-10-14 Xia-Ze Xu , Tong-Yu Lin , Guang-Ming Zhang

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

Machine Learning · Computer Science 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

Training neural networks requires significant computational resources and energy. Methods like mixed-precision and quantization-aware training reduce bit usage, yet they still depend heavily on computationally expensive gradient-based…

Machine Learning · Computer Science 2025-09-30 Noa Cohen , Omkar Joglekar , Dotan Di Castro , Vladimir Tchuiev , Shir Kozlovsky , Michal Moshkovitz

Unsupervised learning with functional data is an emerging paradigm of machine learning research with applications to computer vision, climate modeling and physical systems. A natural way of modeling functional data is by learning operators…

Machine Learning · Computer Science 2023-02-22 Jacob H. Seidman , Georgios Kissas , George J. Pappas , Paris Perdikaris

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

Machine Learning · Computer Science 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

In this paper, we study deep generative models for effective unsupervised learning. We propose VGAN, which works by minimizing a variational lower bound of the negative log likelihood (NLL) of an energy based model (EBM), where the model…

Machine Learning · Computer Science 2016-11-08 Shuangfei Zhai , Yu Cheng , Rogerio Feris , Zhongfei Zhang

Variational Monte Carlo (VMC) is an approach for computing ground-state wavefunctions that has recently become more powerful due to the introduction of neural network-based wavefunction parametrizations. However, efficiently training neural…

Machine Learning · Statistics 2023-10-03 Robert J. Webber , Michael Lindsey

We propose energy natural gradient descent, a natural gradient method with respect to a Hessian-induced Riemannian metric as an optimization algorithm for physics-informed neural networks (PINNs) and the deep Ritz method. As a main…

Machine Learning · Computer Science 2023-08-16 Johannes Müller , Marius Zeinhofer

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluating the proximity of a sample to the target distribution.…

Quantum Physics · Physics 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

This paper presents a novel natural gradient and Hessian-free (NGHF) optimisation framework for neural network training that can operate efficiently in a distributed manner. It relies on the linear conjugate gradient (CG) algorithm to…

Machine Learning · Computer Science 2021-03-16 Adnan Haider , Chao Zhang , Florian L. Kreyssig , Philip C. Woodland

The use of optimal transport cost for learning generative models has become popular with Wasserstein Generative Adversarial Networks (WGAN). Training of WGAN relies on a theoretical background: the calculation of the gradient of the optimal…

Machine Learning · Statistics 2024-04-04 Antoine Houdard , Arthur Leclaire , Nicolas Papadakis , Julien Rabin

Stochastic optimization algorithms are widely used for machine learning with large-scale data. However, their convergence often suffers from non-vanishing variance. Variance Reduction (VR) methods, such as SVRG and SARAH, address this issue…

Machine Learning · Computer Science 2026-01-12 Daniil Medyakov , Gleb Molodtsov , Savelii Chezhegov , Alexey Rebrikov , Aleksandr Beznosikov