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Sparse matrices are favorable objects in machine learning and optimization. When such matrices are used, in place of dense ones, the overall complexity requirements in optimization can be significantly reduced in practice, both in terms of…

Information Theory · Computer Science 2016-04-05 Anastasios Kyrillidis , Bubacarr Bah , Rouzbeh Hasheminezhad , Quoc Tran-Dinh , Luca Baldassarre , Volkan Cevher

We propose Sectored DRAM, a new, low-overhead DRAM substrate that reduces wasted energy by enabling fine-grained DRAM data transfers and DRAM row activation. Sectored DRAM leverages two key ideas to enable fine-grained data transfers and…

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

Manycore SoC architectures based on on-chip shared memory are preferred for flexible and programmable solutions in many application domains. However, the development of many ported memory is becoming increasingly challenging as we approach…

Hardware Architecture · Computer Science 2020-10-20 Hao Luan , Alan Gatherer

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

Matrices and more generally multidimensional arrays, form the backbone of computational studies. In this paper we demonstrate increases in computational efficiency by performing partial-tracing/tensor-contractions on sparse-arrays. It was…

Data Structures and Algorithms · Computer Science 2023-03-21 Julio Candanedo

Sparse matrix multiplication is an important component of linear algebra computations. In this paper, an architecture based on Content Addressable Memory (CAM) and Resistive Content Addressable Memory (ReCAM) is proposed for accelerating…

Hardware Architecture · Computer Science 2017-05-30 Leonid Yavits , Ran Ginosar

Square matrices appear in many machine learning problems and models. Optimization over a large square matrix is expensive in memory and in time. Therefore an economic approximation is needed. Conventional approximation approaches factorize…

Machine Learning · Computer Science 2021-09-20 Ruslan Khalitov , Tong Yu , Lei Cheng , Zhirong Yang

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation when processing graphs on a parallel computer. When a topology of a distributed system is known an important task…

Data Structures and Algorithms · Computer Science 2020-01-23 Marcelo Fonseca Faraj , Alexander van der Grinten , Henning Meyerhenke , Jesper Larsson Träff , Christian Schulz

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

Multiplying two sparse matrices (SpGEMM) is a common computational primitive used in many areas including graph algorithms, bioinformatics, algebraic multigrid solvers, and randomized sketching. Distributed-memory parallel algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Yuxi Hong , Aydin Buluc

The matrices used in many computational settings are naturally sparse, holding a small percentage of nonzero elements. Storing such matrices in specialized sparse formats enables algorithms that avoid wasting computation on zeros,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Pratyush Das , Amirhossein Basareh , Adhitha Dias , Artem Pelenitsyn , Kirshanthan Sundararajah , Milind Kulkarni , Ben Delaware

Matrix-matrix multiplication is a basic operation in linear algebra and an essential building block for a wide range of algorithms in various scientific fields. Theory and implementation for the dense, square matrix case are well-developed.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-01 Alfio Lazzaro , Joost VandeVondele , Juerg Hutter , Ole Schuett

Second order stationary models in time series analysis are based on the analysis of essential statistics whose computations follow a common pattern. In particular, with a map-reduce nomenclature, most of these operations can be modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-23 Francois Belletti , Evan Sparks , Michael Franklin , Alexandre M. Bayen

The parallel algorithm for loading large sparse matrices from files into distributed memories of high performance computing (HPC) systems is presented. This algorithm was designed specially for matrices stored in files in the space-effcient…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Daniel Langr , Ivan Šimeček , Pavel Tvrdík

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

Associative memories are data structures addressed using part of the content rather than an index. They offer good fault reliability and biological plausibility. Among different families of associative memories, sparse ones are known to…

Neural and Evolutionary Computing · Computer Science 2013-08-22 Ala Aboudib , Vincent Gripon , Xiaoran Jiang

We present a novel architecture for sparse pattern processing, using flash storage with embedded accelerators. Sparse pattern processing on large data sets is the essence of applications such as document search, natural language processing,…

Hardware Architecture · Computer Science 2017-01-25 Sang-Woo Jun , Huy T. Nguyen , Vijay N. Gadepally , Arvind

Computing has a huge memory problem. The memory system, consisting of multiple technologies at different levels, is responsible for most of the energy consumption, performance bottlenecks, robustness problems, monetary cost, and hardware…

Hardware Architecture · Computer Science 2025-09-05 Onur Mutlu , Ataberk Olgun , Ismail Emir Yuksel

Motivated by applications such as sparse PCA, in this paper we present provably-accurate one-pass algorithms for the sparse approximation of the top eigenvectors of extremely massive matrices based on a single compact linear sketch. The…

Information Theory · Computer Science 2026-05-06 Edem Boahen , Simone Brugiapaglia , Hung-Hsu Chou , Mark Iwen , Felix Krahmer