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Massively parallel hardware (GPUs) and long sequence data have made parallel algorithms essential for machine learning at scale. Yet dynamical systems, like recurrent neural networks and Markov chain Monte Carlo, were thought to suffer from…

Numerical Analysis · Mathematics 2026-03-18 Xavier Gonzalez

Diffusion-based generation is increasingly powering production content pipelines; however, deploying these models at scale remains a significant challenge. Model weights frequently exceed the memory capacity of commodity GPUs, while the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Hantian Zha , Teng Ma , Yang Yong , Haiwen Fu , Ruiyang Ma , Wei Gao , Ruihao Gong , Xianglong Liu , Wei Wang , Yunpeng Chai

We present a novel characterization of the mapping of multiple parallelism forms (e.g. data and model parallelism) onto hierarchical accelerator systems that is hierarchy-aware and greatly reduces the space of software-to-hardware mapping.…

Programming Languages · Computer Science 2021-11-17 Ningning Xie , Tamara Norman , Dominik Grewe , Dimitrios Vytiniotis

Safety post-training can improve the harmfulness and policy compliance of Large Language Models (LLMs), but it may also reduce general utility, a phenomenon often described as the \emph{alignment tax}. We study this trade-off through the…

Machine Learning · Computer Science 2026-05-13 Guanglong Sun , Siyuan Zhang , Liyuan Wang , Jun Zhu , Hang Su , Yi Zhong

Diffusion models have achieved remarkable progress in high-fidelity image, video, and audio generation, yet inference remains computationally expensive. Nevertheless, current diffusion acceleration methods based on distributed parallelism…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Euisoo Jung , Byunghyun Kim , Hyunjin Kim , Seonghye Cho , Jae-Gil Lee

Mini-batch optimization has proven to be a powerful paradigm for large-scale learning. However, the state of the art parallel mini-batch algorithms assume synchronous operation or cyclic update orders. When worker nodes are heterogeneous…

Optimization and Control · Mathematics 2015-05-20 Hamid Reza Feyzmahdavian , Arda Aytekin , Mikael Johansson

Asynchronous distributed stochastic gradient descent methods have trouble converging because of stale gradients. A gradient update sent to a parameter server by a client is stale if the parameters used to calculate that gradient have since…

Machine Learning · Statistics 2016-01-18 Augustus Odena

Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Parallel p-bit Ising machines are a promising platform for fast and energy-efficient combinatorial optimization, but their scalability depends on update synchronization, hardware delay, and architectural cost. In this work, we establish a…

Emerging Technologies · Computer Science 2026-04-03 Naoya Onizawa , Takahiro Hanyu

Pipeline parallelism is a key technique for scaling large-model training, but modern workloads exhibit runtime variability in computation and communication. Existing pipeline systems typically consume static, profiled, or adaptively…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Ruitao Liu , Xinyang Tian , Shuo Chen , Tingrui Zhang , Guang Yang , Alan Zhao , Wei Xu

Heavy-tailed stochastic gradient noise, commonly observed in transformer models, can destabilize the optimization process. Recent works mainly focus on developing and understanding approaches to address heavy-tailed noise in the centralized…

Machine Learning · Computer Science 2026-02-23 Junfei Sun , Dixi Yao , Xuchen Gong , Tahseen Rabbani , Manzil Zaheer , Tian Li

Recent years have witnessed the surge of asynchronous parallel (async-parallel) iterative algorithms due to problems involving very large-scale data and a large number of decision variables. Because of asynchrony, the iterates are computed…

Optimization and Control · Mathematics 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin

Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

Machine Learning · Computer Science 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

Backpropagation (BP) is the cornerstone of today's deep learning algorithms, but it is inefficient partially because of backward locking, which means updating the weights of one layer locks the weight updates in the other layers.…

Neural and Evolutionary Computing · Computer Science 2021-02-10 Yu-Wei Kao , Hung-Hsuan Chen

Parallelization is a popular strategy for improving the performance of iterative algorithms. Optimization methods are no exception: design of efficient parallel optimization methods and tight analysis of their theoretical properties are…

Optimization and Control · Mathematics 2023-11-28 Alexander Tyurin , Peter Richtárik

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in runtime as it waits for the slowest workers (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness…

Machine Learning · Statistics 2020-03-25 Sanghamitra Dutta , Jianyu Wang , Gauri Joshi

Diffusion models offer powerful generative capabilities for robot trajectory planning, yet their practical deployment on robots is hindered by a critical bottleneck: a reliance on imitation learning from expert demonstrations. This paradigm…

Robotics · Computer Science 2026-02-25 Lei Ye , Haibo Gao , Peng Xu , Zhelin Zhang , Junqi Shan , Ao Zhang , Wei Zhang , Ruyi Zhou , Zongquan Deng , Liang Ding

Asynchronous parallel optimization received substantial successes and extensive attention recently. One of core theoretical questions is how much speedup (or benefit) the asynchronous parallelization can bring us. This paper provides a…

Optimization and Control · Mathematics 2017-05-23 Xiangru Lian , Huan Zhang , Cho-Jui Hsieh , Yijun Huang , Ji Liu

In parallel iterative applications, computational efficiency is essential for addressing large problems. Load imbalance is one of the major performance degradation factors of parallel applications. Therefore, distributing, cleverly, and as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Anthony Boulmier , Franck Raynaud , Nabil Abdennadher , Bastien Chopard

In this article, we propose an accuracy-assuring technique for finding a solution for unsymmetric linear systems. Such problems are related to different areas such as image processing, computer vision, and computational fluid dynamics.…

Mathematical Software · Computer Science 2024-04-23 Mykhailo Havdiak , Jose I. Aliaga , Roman Iakymchuk