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Applications in quantitative finance such as optimal trade execution, risk management of options, and optimal asset allocation involve the solution of high dimensional and nonlinear Partial Differential Equations (PDEs). The connection…

Machine Learning · Statistics 2019-10-28 Batuhan Güler , Alexis Laignelet , Panos Parpas

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Characterizing and predicting the training performance of modern machine learning (ML) workloads on compute systems with compute and communication spread between CPUs, GPUs, and network devices is not only the key to optimization and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-27 Zhongyi Lin , Ning Sun , Pallab Bhattacharya , Xizhou Feng , Louis Feng , John D. Owens

The ever-increasing size of modern data sets combined with the difficulty of obtaining label information has made semi-supervised learning one of the problems of significant practical importance in modern data analysis. We revisit the…

Machine Learning · Computer Science 2014-11-06 Diederik P. Kingma , Danilo J. Rezende , Shakir Mohamed , Max Welling

Neural Stochastic Differential Equations (Neural SDEs) provide a principled framework for modeling continuous-time stochastic processes and have been widely adopted in fields ranging from physics to finance. Recent advances suggest that…

Machine Learning · Computer Science 2026-03-17 Yuanjian Xu , Yuan Shuai , Jianing Hao , Guang Zhang

Graph neural networks (GNNs) are a type of deep learning models that are trained on graphs and have been successfully applied in various domains. Despite the effectiveness of GNNs, it is still challenging for GNNs to efficiently scale to…

Machine Learning · Computer Science 2023-08-28 Yingxia Shao , Hongzheng Li , Xizhi Gu , Hongbo Yin , Yawen Li , Xupeng Miao , Wentao Zhang , Bin Cui , Lei Chen

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

Machine Learning · Computer Science 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

Across numerous applications, forecasting relies on numerical solvers for partial differential equations (PDEs). Although the use of deep-learning techniques has been proposed, actual applications have been restricted by the fact the…

Machine Learning · Computer Science 2020-01-28 Philipp Haehnel , Jakub Marecek , Julien Monteil , Fearghal O'Donncha

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

Machine Learning · Computer Science 2021-06-11 Sifan Wang , Paris Perdikaris

In this chapter, we will mainly focus on collaborative training across wireless devices. Training a ML model is equivalent to solving an optimization problem, and many distributed optimization algorithms have been developed over the last…

Machine Learning · Computer Science 2021-12-13 Emre Ozfatura , Deniz Gunduz , H. Vincent Poor

Motivated by extreme multi-label classification applications, we consider training deep learning models over sparse data in multi-GPU servers. The variance in the number of non-zero features across training batches and the intrinsic GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Yujing Ma , Florin Rusu , Kesheng Wu , Alexander Sim

Data loading can dominate deep neural network training time on large-scale systems. We present a comprehensive study on accelerating data loading performance in large-scale distributed training. We first identify performance and scalability…

Machine Learning · Computer Science 2020-02-20 Chih-Chieh Yang , Guojing Cong

Numerical solvers of Partial Differential Equations (PDEs) are of fundamental significance to science and engineering. To date, the historical reliance on legacy techniques has circumscribed possible integration of big data knowledge and…

Numerical Analysis · Mathematics 2024-08-12 Xi Han , Fei Hou , Hong Qin

With the rapid growth in the volume of data sets, models, and devices in the domain of deep learning, there is increasing attention on large-scale distributed deep learning. In contrast to traditional distributed deep learning, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Feng Liang , Zhen Zhang , Haifeng Lu , Victor C. M. Leung , Yanyi Guo , Xiping Hu

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee

We propose a distributed approach to train deep convolutional generative adversarial neural network (DC-CGANs) models. Our method reduces the imbalance between generator and discriminator by partitioning the training data according to data…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Massimiliano Lupo Pasini , Vittorio Gabbi , Junqi Yin , Simona Perotto , Nouamane Laanait

We present a convolutional framework which significantly reduces the complexity and thus, the computational effort for distributed reinforcement learning control of dynamical systems governed by partial differential equations (PDEs).…

Machine Learning · Computer Science 2023-12-27 Sebastian Peitz , Jan Stenner , Vikas Chidananda , Oliver Wallscheid , Steven L. Brunton , Kunihiko Taira

Deep learning-based methods have shown remarkable effectiveness in solving PDEs, largely due to their ability to enable fast simulations once trained. However, despite the availability of high-performance computing infrastructure, many…

Machine Learning · Computer Science 2026-02-23 Pietro Sittoni , Emanuele Zangrando , Angelo A. Casulli , Nicola Guglielmi , Francesco Tudisco

Training Large Language Models(LLMs) is one of the most compute-intensive tasks in high-performance computing. Predicting end-to-end training time for multi-billion parameter models distributed across hundreds of GPUs remains challenging…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Biyao Zhang , Mingkai Zheng , Debargha Ganguly , Xuecen Zhang , Vikash Singh , Vipin Chaudhary , Zhao Zhang
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