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Programming high-performance sparse GPU kernels is notoriously difficult, requiring both substantial effort and deep expertise. Sparse compilers aim to simplify this process, but existing systems fall short in two key ways. First, they are…

编程语言 · 计算机科学 2025-10-21 Jaeyeon Won , Willow Ahrens , Joel S. Emer , Saman Amarasinghe

The most effective dimensionality reduction procedures produce interpretable features from the raw input space while also providing good performance for downstream supervised learning tasks. For many methods, this requires optimizing one or…

机器学习 · 计算机科学 2023-02-22 Leland Barnard , Farwa Ali , Hugo Botha , David T. Jones

Sparse general matrix-matrix multiplication (spGEMM) is an essential component in many scientific and data analytics applications. However, the sparsity pattern of the input matrices and the interaction of their patterns make spGEMM…

数学软件 · 计算机科学 2020-10-01 Orestis Zachariadis , Nitin Satpute , Juan Gómez-Luna , Joaquín Olivares

Recently multi-access coded caching schemes with number of users different from the number of caches obtained from a special case of resolvable designs called Cross Resolvable Designs (CRDs) have been reported and a new performance metric…

信息论 · 计算机科学 2021-05-18 Pooja Nayak Muralidhar , Digvijay Katyal , B. Sundar Rajan

Tomographic imaging has benefited from advances in X-ray sources, detectors and optics to enable novel observations in science, engineering and medicine. These advances have come with a dramatic increase of input data in the form of faster…

分布式、并行与集群计算 · 计算机科学 2020-12-25 Stefano Marchesini , Anuradha Trivedi , Pablo Enfedaque , Talita Perciano , Dilworth Parkinson

Many large-scale systems rely on high-quality deep representations (embeddings) to facilitate tasks like retrieval, search, and generative modeling. Matryoshka Representation Learning (MRL) recently emerged as a solution for adaptive…

机器学习 · 计算机科学 2025-05-21 Tiansheng Wen , Yifei Wang , Zequn Zeng , Zhong Peng , Yudi Su , Xinyang Liu , Bo Chen , Hongwei Liu , Stefanie Jegelka , Chenyu You

Sorting is at the core of many database operations, such as index creation, sort-merge joins, and user-requested output sorting. As GPUs are emerging as a promising platform to accelerate various operations, sorting on GPUs becomes a viable…

数据库 · 计算机科学 2017-05-22 Elias Stehle , Hans-Arno Jacobsen

We present high performance implementations of the QR and the singular value decomposition of a batch of small matrices hosted on the GPU with applications in the compression of hierarchical matrices. The one-sided Jacobi algorithm is used…

数学软件 · 计算机科学 2017-07-18 Wajih Halim Boukaram , George Turkiyyah , Hatem Ltaief , David E. Keyes

Scaling autoregressive large language models (LLMs) has driven unprecedented progress but comes with vast computational costs. In this work, we tackle these costs by leveraging unstructured sparsity within an LLM's feedforward layers, the…

机器学习 · 计算机科学 2026-05-11 Edoardo Cetin , Stefano Peluchetti , Emilio Castillo , Akira Naruse , Mana Murakami , Llion Jones

In this paper, we show that coding can be used in storage area networks (SANs) to improve various quality of service metrics under normal SAN operating conditions, without requiring additional storage space. For our analysis, we develop a…

信息论 · 计算机科学 2013-05-30 Ulric J. Ferner , Tong Wang , Muriel Médard , Emina Soljanin

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

分布式、并行与集群计算 · 计算机科学 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Scaled graphs (SGs) offer a geometric framework for feedback stability analysis. This paper develops containment conditions for SGs within multiplier-defined regions, addressing both circular and conic geometries. For circular regions, we…

最优化与控制 · 数学 2026-04-08 Eder Baron-Prada , Julius P. J. Krebbekx , Adolfo Anta , Florian Dörfler

Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications. However, most existing sparse coding algorithms are nonconvex and…

机器学习 · 计算机科学 2017-09-12 Xiaodong Feng , Zhiwei Tang , Sen Wu

Motivated by an application in high-throughput genomics and metabolomics, we propose a novel, efficient and fully data-driven approach for estimating large block structured sparse covariance matrices in the case where the number of…

统计方法学 · 统计学 2019-12-09 Marie Perrot-Dockès , Céline Lévy-Leduc , Loïc Rajjou

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

信息论 · 计算机科学 2016-11-24 Kezhi Li , Shuang Cong

Multi-head-self-attention (MHSA) mechanisms achieve state-of-the-art (SOTA) performance across natural language processing and vision tasks. However, their quadratic dependence on sequence lengths has bottlenecked inference speeds. To…

编程语言 · 计算机科学 2024-07-25 Ahan Gupta , Yueming Yuan , Devansh Jain , Yuhao Ge , David Aponte , Yanqi Zhou , Charith Mendis

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

分布式、并行与集群计算 · 计算机科学 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

Reservoir computing systems rely on the recurrent multiplication of a very large, sparse, fixed matrix. We argue that direct spatial implementation of these fixed matrices minimizes the work performed in the computation, and allows for…

硬件体系结构 · 计算机科学 2021-01-25 Matthew Denton , Herman Schmit

Scientific workloads have traditionally exploited high levels of sparsity to accelerate computation and reduce memory requirements. While deep neural networks can be made sparse, achieving practical speedups on GPUs is difficult because…

机器学习 · 计算机科学 2020-09-02 Trevor Gale , Matei Zaharia , Cliff Young , Erich Elsen

Matrix decompositions are ubiquitous in machine learning, including applications in dimensionality reduction, data compression and deep learning algorithms. Typical solutions for matrix decompositions have polynomial complexity which…