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Achieving high efficiency with numerical kernels for sparse matrices is of utmost importance, since they are part of many simulation codes and tend to use most of the available compute time and resources. In addition, especially in large…

Performance · Computer Science 2013-05-07 Tobias Scharpff , Klaus Iglberger , Georg Hager , Ulrich Ruede

The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization…

Computational Engineering, Finance, and Science · Computer Science 2015-07-30 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Andreas Pieper , Andreas Alvermann , Holger Fehske

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

Machine Learning · Computer Science 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Massive multi-threading in GPU imposes tremendous pressure on memory subsystems. Due to rapid growth in thread-level parallelism of GPU and slowly improved peak memory bandwidth, the memory becomes a bottleneck of GPU's performance and…

Hardware Architecture · Computer Science 2019-06-17 Bing Li , Mengjie Mao , Xiaoxiao Liu , Tao Liu , Zihao Liu , Wujie Wen , Yiran Chen , Hai , Li

Integrating renewable resources within the transmission grid at a wide scale poses significant challenges for economic dispatch as it requires analysis with more optimization parameters, constraints, and sources of uncertainty. This…

Computational Engineering, Finance, and Science · Computer Science 2023-08-17 Kasia Świrydowicz , Nicholson Koukpaizan , Tobias Ribizel , Fritz Göbel , Shrirang Abhyankar , Hartwig Anzt , Slaven Peleš

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

Sparse tensor decomposition and completion are common in numerous applications, ranging from machine learning to computational quantum chemistry. Typically, the main bottleneck in optimization of these models are contractions of a single…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-17 Raghavendra Kanakagiri , Edgar Solomonik

Spectral clustering is one of the most popular graph clustering algorithms, which achieves the best performance for many scientific and engineering applications. However, existing implementations in commonly used software platforms such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-14 Yu Jin , Joseph F. JaJa

The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

Mathematical Software · Computer Science 2017-10-16 Ruipeng Li

We address the problem of optimizing mixed sparse and dense tensor algebra in a compiler. We show that standard loop transformations, such as strip-mining, tiling, collapsing, parallelization and vectorization, can be applied to irregular…

Mathematical Software · Computer Science 2020-01-03 Ryan Senanayake , Fredrik Kjolstad , Changwan Hong , Shoaib Kamil , Saman Amarasinghe

Tensor algebra lies at the core of computational science and machine learning. Due to its high usage, entire libraries exist dedicated to improving its performance. Conventional tensor algebra performance boosts focus on algorithmic…

Programming Languages · Computer Science 2022-08-16 Sathvik Redrouthu , Rishi Athavale

This paper presents GPU performance optimization and scaling results for inference models of the Sparse Deep Neural Network Challenge 2020. Demands for network quality have increased rapidly, pushing the size and thus the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Mert Hidayetoglu , Carl Pearson , Vikram Sharma Mailthody , Eiman Ebrahimi , Jinjun Xiong , Rakesh Nagi , Wen-Mei Hwu

This paper presents a GPU-accelerated simulation package, TRED, for next-generation neutrino detectors with pixelated charge readout, leveraging community-driven software ecosystems to ensure sustainability and extensibility. We introduce…

Instrumentation and Detectors · Physics 2026-02-13 Yousen Zhang , Brett Viren , Mary Bishai , Sergey Martynenko , Xin Qian , Rado Razakamiandra , Brooke Russell

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

In the evolving landscape of neural network models, one prominent challenge stand out: the significant memory overheads associated with training expansive models. Addressing this challenge, this study delves deep into the Rotated Tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-06 Cheng Luo , Tianle Zhong , Geoffrey Fox

Weight pruning in deep neural networks (DNNs) can reduce storage and computation cost, but struggles to bring practical speedup to the model inference time. Tensor-cores can significantly boost the throughput of GPUs on dense computation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-15 Guyue Huang , Haoran Li , Minghai Qin , Fei Sun , Yufei Ding , Yuan Xie

Sparse matrix-matrix multiplication (SpGEMM) is a computational primitive that is widely used in areas ranging from traditional numerical applications to recent big data analysis and machine learning. Although many SpGEMM algorithms have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-27 Yusuke Nagasaka , Satoshi Matsuoka , Ariful Azad , Aydın Buluç

To analyze large sets of grid states, e.g. when evaluating the impact from the uncertainties of the renewable generation with probabilistic Monte Carlo simulation or in stationary time series simulation, large number of power flow…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

In trained deep neural networks, unstructured pruning can reduce redundant weights to lower storage cost. However, it requires the customization of hardwares to speed up practical inference. Another trend accelerates sparse model inference…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Zhuliang Yao , Shijie Cao , Wencong Xiao , Chen Zhang , Lanshun Nie
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