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Schur complement matrices emerge in many domain decomposition methods that can solve complex engineering problems using supercomputers. Today, as most of the high-performance clusters' performance lies in GPUs, these methods should also be…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-26 Jakub Homola , Ondřej Meca , Lubomír Říha , Tomáš Brzobohatý

This report focuses on the architecture and performance of the Intelligence Processing Unit (IPU), a novel, massively parallel platform recently introduced by Graphcore and aimed at Artificial Intelligence/Machine Learning (AI/ML)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-10 Zhe Jia , Blake Tillman , Marco Maggioni , Daniele Paolo Scarpazza

Unstructured pruning reduces the memory footprint in deep neural networks (DNNs). Recently, researchers proposed different types of structural pruning intending to reduce also the computation complexity. In this work, we first suggest a new…

Artificial Intelligence · Computer Science 2021-10-22 Itay Hubara , Brian Chmiel , Moshe Island , Ron Banner , Seffi Naor , Daniel Soudry

This paper introduces sTiles, a GPU-accelerated framework for factorizing sparse structured symmetric matrices. By leveraging tile algorithms for fine-grained computations, sTiles uses a structure-aware task execution flow to handle…

Performance · Computer Science 2025-01-07 Esmail Abdul Fattah , Hatem Ltaief , Havard Rue , David Keyes

Matrix multiplication is the foundation from much of the success from high performance technologies like deep learning, scientific simulations, and video graphics. High level programming languages like Python and R rely on highly optimized…

Performance · Computer Science 2025-09-08 Ethan Davis

Dynamic sparsity, where the sparsity patterns are unknown until runtime, poses a significant challenge to deep learning. The state-of-the-art sparsity-aware deep learning solutions are restricted to pre-defined, static sparsity patterns due…

Sparse matrix representations are ubiquitous in computational science and machine learning, leading to significant reductions in compute time, in comparison to dense representation, for problems that have local connectivity. The adoption of…

Machine Learning · Computer Science 2023-11-13 Nicolas Nytko , Ali Taghibakhshi , Tareq Uz Zaman , Scott MacLachlan , Luke N. Olson , Matt West

Sparse matrix-vector products (SpMVs) are a bottleneck in many scientific codes. Due to the heavy strain on the main memory interface from loading the sparse matrix and the possibly irregular memory access pattern, SpMV typically exhibits…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Dane C. Lacey , Christie L. Alappat , Florian Lange , Georg Hager , Holger Fehske , Gerhard Wellein

The employment of high-performance servers and GPU accelerators for training deep neural network models have greatly accelerated recent advances in deep learning (DL). DL frameworks, such as TensorFlow, MXNet, and Caffe2, have emerged to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Soojeong Kim , Gyeong-In Yu , Hojin Park , Sungwoo Cho , Eunji Jeong , Hyeonmin Ha , Sanha Lee , Joo Seong Jeong , Byung-Gon Chun

Hierarchical $\mathcal{H}^2$-matrices are asymptotically optimal representations for the discretizations of non-local operators such as those arising in integral equations or from kernel functions. Their $O(N)$ complexity in both memory and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Stefano Zampini , Wajih Boukaram , George Turkiyyah , Omar Knio , David E. Keyes

Sparsity, which occurs in both scientific applications and Deep Learning (DL) models, has been a key target of optimization within recent ASIC accelerators due to the potential memory and compute savings. These applications use data stored…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-22 Eric Qin , Geonhwa Jeong , William Won , Sheng-Chun Kao , Hyoukjun Kwon , Sudarshan Srinivasan , Dipankar Das , Gordon E. Moon , Sivasankaran Rajamanickam , Tushar Krishna

We demonstrate the possibility of what we call sparse learning: accelerated training of deep neural networks that maintain sparse weights throughout training while achieving dense performance levels. We accomplish this by developing sparse…

Machine Learning · Computer Science 2019-08-27 Tim Dettmers , Luke Zettlemoyer

High Performance Computing (HPC) benefits from different improvements during last decades, specially in terms of hardware platforms to provide more processing power while maintaining the power consumption at a reasonable level. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 S. -Kazem Shekofteh , Christian Alles , Holger Fröning

This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a…

Mathematical Software · Computer Science 2018-10-18 Hongbo Rong

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

Several challenges make it difficult for sparse neural networks to compete with dense models. First, setting a large fraction of weights to zero impairs forward and gradient signal propagation. Second, sparse studies often need to test…

Machine Learning · Computer Science 2026-02-04 Nolan Dey , Shane Bergsma , Joel Hestness

The increasing importance of multicore processors calls for a reevaluation of established numerical algorithms in view of their ability to profit from this new hardware concept. In order to optimize the existent algorithms, a detailed…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske

This paper proposes Capstan: a scalable, parallel-patterns-based, reconfigurable dataflow accelerator (RDA) for sparse and dense tensor applications. Instead of designing for one application, we start with common sparse data formats, each…

Hardware Architecture · Computer Science 2021-09-24 Alexander Rucker , Matthew Vilim , Tian Zhao , Yaqi Zhang , Raghu Prabhakar , Kunle Olukotun

GPUs have been widely used to accelerate computations exhibiting simple patterns of parallelism - such as flat or two-level parallelism - and a degree of parallelism that can be statically determined based on the size of the input dataset.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Hancheng Wu , Da Li , Michela Becchi

Large-scale eigenvalue computations on sparse matrices are a key component of graph analytics techniques based on spectral methods. In such applications, an exhaustive computation of all eigenvalues and eigenvectors is impractical and…

Hardware Architecture · Computer Science 2021-03-19 Francesco Sgherzi , Alberto Parravicini , Marco Siracusa , Marco Domenico Santambrogio