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This paper deals with speeding up the convergence of a class of two-step iterative methods for solving linear systems of equations. To implement the acceleration technique, the residual norm associated with computed approximations for each…

Numerical Analysis · Mathematics 2024-04-24 Fatemeh P. A. Beik , Michele Benzi , Mehdi Najafi-Kalyani

We propose a neural physics system for real-time, interactive fluid simulations. Traditional physics-based methods, while accurate, are computationally intensive and suffer from latency issues. Recent machine-learning methods reduce…

Machine Learning · Computer Science 2025-05-27 Jingxuan Xu , Hong Huang , Chuhang Zou , Manolis Savva , Yunchao Wei , Wuyang Chen

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

Machine Learning · Computer Science 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

This article introduces an iterative distributed computing estimator for the multinomial logistic regression model with large choice sets. Compared to the maximum likelihood estimator, the proposed iterative distributed estimator achieves…

Econometrics · Economics 2024-12-03 Yanqin Fan , Yigit Okar , Xuetao Shi

In recent years, with the rapid development of electro-optic modulators, optical computing has become a potential excellent candidate for various computing tasks. New structures and devices for optical computing are emerging one after…

Optics · Physics 2023-09-20 Yufeng Zhang , Hao Yan , Kaizhi Wang

A scalable algorithm for solving compact banded linear systems on distributed memory architectures is presented. The proposed method factorizes the original system into two levels of memory hierarchies, and solves it using parallel cyclic…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Hang Song , Kristen V. Matsuno , Jacob R. West , Akshay Subramaniam , Aditya S. Ghate , Sanjiva K. Lele

Stream reasoning systems are designed for complex decision-making from possibly infinite, dynamic streams of data. Modern approaches to stream reasoning are usually performing their computations using stand-alone solvers, which…

Artificial Intelligence · Computer Science 2020-02-19 Thomas Eiter , Paul Ogris , Konstantin Schekotihin

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Deep neural networks with large model sizes achieve state-of-the-art results for tasks in computer vision (CV) and natural language processing (NLP). However, these large-scale models are too compute- or memory-intensive for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-29 Yang Hu , Connor Imes , Xuanang Zhao , Souvik Kundu , Peter A. Beerel , Stephen P. Crago , John Paul N. Walters

Diffusion models have demonstrated strong generative capabilities across domains ranging from image synthesis to complex reasoning tasks. However, most inference-time scaling methods rely on fixed denoising schedules, limiting their ability…

Machine Learning · Computer Science 2025-10-28 Gyubin Lee , Truong Nhat Nguyen Bao , Jaesik Yoon , Dongwoo Lee , Minsu Kim , Yoshua Bengio , Sungjin Ahn

Diffusion processes are a class of stochastic differential equations (SDEs) providing a rich family of expressive models that arise naturally in dynamic modelling tasks. Probabilistic inference and learning under generative models with…

Machine Learning · Computer Science 2024-02-28 Prakhar Verma , Vincent Adam , Arno Solin

We introduce iterative reasoning through energy diffusion (IRED), a novel framework for learning to reason for a variety of tasks by formulating reasoning and decision-making problems with energy-based optimization. IRED learns energy…

Machine Learning · Computer Science 2024-06-18 Yilun Du , Jiayuan Mao , Joshua B. Tenenbaum

Modern computationally-intensive applications often operate under time constraints, necessitating acceleration methods and distribution of computational workloads across multiple entities. However, the outcome is either achieved within the…

Information Theory · Computer Science 2024-02-13 Homa Esfahanizadeh , Alejandro Cohen , Shlomo Shamai , Muriel Medard

Diffusion-based generative models (DGMs) have recently attracted attention in speech enhancement research (SE) as previous works showed a remarkable generalization capability. However, DGMs are also computationally intensive, as they…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-21 Chenda Li , Samuele Cornell , Shinji Watanabe , Yanmin Qian

Continent-scale datasets challenge hydrological algorithms for processing digital elevation models. Flow accumulation is an important input for many such algorithms; here, I parallelize its calculation. The new algorithm works on one or…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-31 Richard Barnes

In Diffusion Probabilistic Models (DPMs), the task of modeling the score evolution via a single time-dependent neural network necessitates extended training periods and may potentially impede modeling flexibility and capacity. To counteract…

Machine Learning · Computer Science 2023-06-06 Etrit Haxholli , Marco Lorenzi

A myriad of applications ranging from engineering and scientific simulations, image and signal processing as well as high-sensitive data retrieval demand high processing power reaching up to teraflops for their efficient execution. While a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Patrick Mukala

Graph-based diffusion models have shown promising results in terms of generating high-quality solutions to NP-complete (NPC) combinatorial optimization (CO) problems. However, those models are often inefficient in inference, due to the…

Machine Learning · Computer Science 2023-08-24 Junwei Huang , Zhiqing Sun , Yiming Yang

Simulating differential equations on classical computers becomes an intractable problem if the grid size is extremely large. Quantum computers are believed to achieve a possibly exponential speedup in the matrix operation. In this paper, we…

Quantum Physics · Physics 2025-03-18 Xinchi Huang , Hirofumi Nishi , Taichi Kosugi , Yoshifumi Kawada , Yu-ichiro Matsushita

With the ever-increasing computational demand of DNN training workloads, distributed training has been widely adopted. A combination of data, model and pipeline parallelism strategy, called hybrid parallelism distributed training, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Guandong Lu , Runzhe Chen , Yakai Wang , Yangjie Zhou , Rui Zhang , Zheng Hu , Yanming Miao , Zhifang Cai , Li Li , Jingwen Leng , Minyi Guo