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We present the design and optimization of a linear solver on General Purpose GPUs for the efficient and high-throughput evaluation of the marginalized graph kernel between pairs of labeled graphs. The solver implements a preconditioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-20 Yu-Hang Tang , Oguz Selvitopi , Doru Popovici , Aydın Buluç

Reliability is a serious concern for future extreme-scale high-performance computing (HPC) systems. While the HPC community has developed various resilience solutions, the solution space remains fragmented. There are no formal methods and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-01 Saurabh Hukerikar , Christian Engelmann

Resilience against stragglers is a critical element of prediction serving systems, tasked with executing inferences on input data for a pre-trained machine-learning model. In this paper, we propose NeRCC, as a general straggler-resistant…

Machine Learning · Computer Science 2024-02-12 Parsa Moradi , Mohammad Ali Maddah-Ali

We consider the problem of evaluating arbitrary multivariate polynomials over a massive dataset containing multiple inputs, on a distributed computing system with a master node and multiple worker nodes. Generalized Lagrange Coded Computing…

Information Theory · Computer Science 2024-11-07 Jinbao Zhu , Hengxuan Tang , Songze Li , Yijia Chang

The preconditioned conjugate gradient (PCG) algorithm is one of the most popular algorithms for solving large-scale linear systems Ax = b, where A is a symmetric positive definite matrix. Rather than computing residuals directly, it updates…

Numerical Analysis · Mathematics 2025-11-19 Thomas Bake , Erin Carson , Yuxin Ma

The performance and efficiency of distributed training of Deep Neural Networks highly depend on the performance of gradient averaging among all participating nodes, which is bounded by the communication between nodes. There are two major…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-10 Linnan Wang , Wei Wu , Junyu Zhang , Hang Liu , George Bosilca , Maurice Herlihy , Rodrigo Fonseca

We investigate fast and communication-efficient algorithms for the classic problem of minimizing a sum of strongly convex and smooth functions that are distributed among $n$ different nodes, which can communicate using a limited number of…

Optimization and Control · Mathematics 2021-06-21 Foivos Alimisis , Peter Davies , Dan Alistarh

This paper presents our work on designing a parallel platform for large-scale reservoir simulations. Detailed components, such as grid and linear solver, and data structures are introduced, which can serve as a guide to parallel reservoir…

Computational Engineering, Finance, and Science · Computer Science 2018-09-05 Hui Liu , Kun Wang , Bo Yang , Zhangxin Chen

Traditional resilient systems operate on fully-replicated fault-tolerant clusters, which limits their scalability and performance. One way to make the step towards resilient high-performance systems that can deal with huge workloads, is by…

Databases · Computer Science 2021-08-20 Jelle Hellings , Mohammad Sadoghi

Modern realities and trends in learning require more and more generalization ability of models, which leads to an increase in both models and training sample size. It is already difficult to solve such tasks in a single device mode. This is…

Optimization and Control · Mathematics 2024-12-03 Dmitry Bylinkin , Kirill Degtyarev , Aleksandr Beznosikov

Incremental Potential Contact (IPC) guarantees intersection-free simulation but suffers from high computational costs due to the expensive Hessian assembly and linear solves required by Newton's method. While Preconditioned Nonlinear…

Graphics · Computer Science 2026-05-20 Yu Zhang , Xing Shen , Kemeng Huang , Wei Chen , Yin Yang , Taku Komura , Tiantian Liu , Xingang Pan

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

Recent work has developed methods for learning deep network classifiers that are provably robust to norm-bounded adversarial perturbation; however, these methods are currently only possible for relatively small feedforward networks. In this…

Machine Learning · Computer Science 2018-11-26 Eric Wong , Frank R. Schmidt , Jan Hendrik Metzen , J. Zico Kolter

Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous…

Numerical Analysis · Mathematics 2026-02-05 Julius Herb , Felix Fritzen

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

Machine Learning · Computer Science 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

A major hurdle in machine learning is scalability to massive datasets. One approach to overcoming this is to distribute the computational tasks among several workers. \textit{Gradient coding} has been recently proposed in distributed…

Information Theory · Computer Science 2020-09-16 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

A standard approach in large scale machine learning is distributed stochastic gradient training, which requires the computation of aggregated stochastic gradients over multiple nodes on a network. Communication is a major bottleneck in such…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-24 Hanlin Tang , Xiangru Lian , Chen Yu , Tong Zhang , Ji Liu

Pre-training large language models on massive GPU clusters has made hardware faults routine rather than rare, driving the need for resilient training systems. Yet existing frameworks either focus on specific parallelism schemes or risk…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-25 Ziyue Liu , Zhengyang Wang , Ruijie Zhang , Avinash Maurya , Hui Zhou , Paul Hovland , Sheng Di , Franck Cappello , Bogdan Nicolae , Zheng Zhang

Compute Express Link (CXL) 3.0 and beyond allows the compute nodes of a cluster to share data with hardware cache coherence and at the granularity of a cache line. This enables shared-memory semantics for distributed computing, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-10 Antonis Psistakis , Burak Ocalan , Chloe Alverti , Fabien Chaix , Ramnatthan Alagappan , Josep Torrellas

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

Optimization and Control · Mathematics 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand