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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

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

Numerical Analysis · Computer Science 2019-09-05 Dimitri P. Bertsekas

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

We present a novel view that unifies two frameworks that aim to solve sequential prediction problems: learning to search (L2S) and recurrent neural networks (RNN). We point out equivalences between elements of the two frameworks. By…

Computation and Language · Computer Science 2016-07-19 Khanh Nguyen

With the increasing capabilities of Large Language Models (LLMs), parallel reasoning has emerged as a new inference paradigm that enhances reasoning robustness by concurrently exploring multiple lines of thought before converging on a final…

Computation and Language · Computer Science 2025-10-15 Ziqi Wang , Boye Niu , Zipeng Gao , Zhi Zheng , Tong Xu , Linghui Meng , Zhongli Li , Jing Liu , Yilong Chen , Chen Zhu , Hua Wu , Haifeng Wang , Enhong Chen

To design efficient parallel algorithms, some recent papers showed that many sequential iterative algorithms can be directly parallelized but there are still challenges in achieving work-efficiency and high-parallelism. Work-efficiency can…

Data Structures and Algorithms · Computer Science 2022-05-27 Zheqi Shen , Zijin Wan , Yan Gu , Yihan Sun

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

Computation · Statistics 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

In this paper we analyze, evaluate, and improve the performance of training generalized linear models on modern CPUs. We start with a state-of-the-art asynchronous parallel training algorithm, identify system-level performance bottlenecks,…

Machine Learning · Computer Science 2018-12-20 Nikolas Ioannou , Celestine Dünner , Kornilios Kourtis , Thomas Parnell

Feedforward computation, such as evaluating a neural network or sampling from an autoregressive model, is ubiquitous in machine learning. The sequential nature of feedforward computation, however, requires a strict order of execution and…

Machine Learning · Computer Science 2021-06-15 Yang Song , Chenlin Meng , Renjie Liao , Stefano Ermon

We present a theoretical framework for analyzing linear attention models through matrix-valued state space models (SSMs). Our approach, Parallel Flows, provides a perspective that systematically decouples temporal dynamics from…

Machine Learning · Computer Science 2025-04-02 Nicola Muca Cirone , Cristopher Salvi

We introduce a framework for online changepoint detection and simultaneous model learning which is applicable to highly parametrized models, such as deep neural networks. It is based on detecting changepoints across time by sequentially…

Machine Learning · Computer Science 2020-10-08 Michalis K. Titsias , Jakub Sygnowski , Yutian Chen

There is significant recent interest to parallelize deep learning algorithms in order to handle the enormous growth in data and model sizes. While most advances focus on model parallelization and engaging multiple computing agents via using…

Machine Learning · Statistics 2017-06-27 Zhanhong Jiang , Aditya Balu , Chinmay Hegde , Soumik Sarkar

The past few years have witnessed growth in the computational requirements for training deep convolutional neural networks. Current approaches parallelize training onto multiple devices by applying a single parallelization strategy (e.g.,…

Machine Learning · Computer Science 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

Transformers and linear state space models can be evaluated in parallel on modern hardware, but evaluating nonlinear RNNs appears to be an inherently sequential problem. Recently, however, Lim et al. '24 developed an approach called DEER,…

Machine Learning · Computer Science 2025-01-17 Xavier Gonzalez , Andrew Warrington , Jimmy T. H. Smith , Scott W. Linderman

State-of-the-art machine learning frameworks support a wide variety of design features to enable a flexible machine learning programming interface and to ease the programmability burden on machine learning developers. Identifying and using…

Machine Learning · Computer Science 2020-07-01 Yu Emma Wang , Carole-Jean Wu , Xiaodong Wang , Kim Hazelwood , David Brooks

Machine learning models, and deep neural networks in particular, are increasingly deployed in risk-sensitive domains such as healthcare, environmental forecasting, and finance, where reliable quantification of predictive uncertainty is…

Machine Learning · Computer Science 2026-04-07 Asena Karolin Özdemir , Lars H. Heyen , Arvid Weyrauch , Achim Streit , Markus Götz , Charlotte Debus

Recently there has been substantial interest in spectral methods for learning dynamical systems. These methods are popular since they often offer a good tradeoff between computational and statistical efficiency. Unfortunately, they can be…

Machine Learning · Statistics 2015-11-05 Ahmed Hefny , Carlton Downey , Geoffrey Gordon

This paper presents a novel unifying framework of bilinear LSTMs that can represent and utilize the nonlinear interaction of the input features present in sequence datasets for achieving superior performance over a linear LSTM and yet not…

Machine Learning · Computer Science 2023-09-12 Mohit Rajpal , Bryan Kian Hsiang Low

Motivated by the need for adaptive, secure and responsive scheduling in a great range of computing applications, including human-centered and time-critical applications, this paper proposes a scheduling framework that seamlessly adds…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-14 Georgios C. Chasparis , Vladimir Janjic , Michael Rossbory
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