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Sparse matrix-vector multiplication (SpMV) is a fundamental operation in scientific computing, data analysis, and machine learning. When the data being processed are sensitive, preserving privacy becomes critical, and homomorphic encryption…

Cryptography and Security · Computer Science 2026-03-06 Yang Gao , Gang Quan , Wujie Wen , Scott Piersall , Qian Lou , Liqiang Wang

Sparse generalized matrix-matrix multiplication (SpGEMM) is a fundamental operation for real-world network analysis. With the increasing size of real-world networks, the single-machine-based SpGEMM approach cannot perform SpGEMM on…

Data Structures and Algorithms · Computer Science 2023-08-29 Myung-Hwan Jang , Yunyong Ko , Hyuck-Moo Gwon , Ikhyeon Jo , Yongjun Park , Sang-Wook Kim

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-26 Ariful Azad , Aydin Buluc

With the growing popularity of shared resources, large volumes of complex data of different types are collected automatically. Traditional data mining algorithms generally have problems and challenges including huge memory cost, low…

Databases · Computer Science 2021-04-01 Wensheng Gan , Jerry Chun-Wei Lin , Philippe Fournier-Viger , Han-Chieh Chao , Philip S. Yu

Delegating large-scale computations to service providers is a common practice which raises privacy concerns. This paper studies information-theoretic privacy-preserving delegation of data to a service provider, who may further delegate the…

Information Theory · Computer Science 2024-11-22 Zirui Deng , Vinayak Ramkumar , Netanel Raviv

We consider the problem of maintaining sparsity in private distributed storage of confidential machine learning data. In many applications, e.g., face recognition, the data used in machine learning algorithms is represented by sparse…

Information Theory · Computer Science 2022-06-15 Marvin Xhemrishi , Maximilian Egger , Rawad Bitar

We introduce a generalization of the linearized Alternating Direction Method of Multipliers to optimize a real-valued function $f$ of multiple arguments with potentially multiple constraints $g_\circ$ on each of them. The function $f$ may…

Optimization and Control · Mathematics 2019-01-28 Fred Moolekamp , Peter Melchior

Nonnegative matrix factorization (NMF) has been successfully applied in several data mining tasks. Recently, there is an increasing interest in the acceleration of NMF, due to its high cost on large matrices. On the other hand, the privacy…

Machine Learning · Computer Science 2020-09-08 Yuqiu Qian , Conghui Tan , Danhao Ding , Hui Li , Nikos Mamoulis

Alternating direction method of multiplier (ADMM) is a popular method used to design distributed versions of a machine learning algorithm, whereby local computations are performed on local data with the output exchanged among neighbors in…

Machine Learning · Computer Science 2018-06-07 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Straggler nodes are well-known bottlenecks of distributed matrix computations which induce reductions in computation/communication speeds. A common strategy for mitigating such stragglers is to incorporate Reed-Solomon based MDS (maximum…

Information Theory · Computer Science 2023-08-24 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

In a large-scale distributed machine learning system, coded computing has attracted wide-spread attention since it can effectively alleviate the impact of stragglers. However, several emerging problems greatly limit the performance of coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-10 Houming Qiu , Kun Zhu , Nguyen Cong Luong , Dusit Niyato

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

Matrix multiplication (GEMM) is a core operation to numerous scientific applications. Traditional implementations of Strassen-like fast matrix multiplication (FMM) algorithms often do not perform well except for very large matrix sizes, due…

Mathematical Software · Computer Science 2016-11-04 Jianyu Huang , Leslie Rice , Devin A. Matthews , Robert A. van de Geijn

Matrix Factorization has been very successful in practical recommendation applications and e-commerce. Due to data shortage and stringent regulations, it can be hard to collect sufficient data to build performant recommender systems for a…

Cryptography and Security · Computer Science 2020-07-06 Dashan Gao , Ben Tan , Ce Ju , Vincent W. Zheng , Qiang Yang

Privacy-preserving techniques for distributed computation have been proposed recently as a promising framework in collaborative inter-domain network monitoring. Several different approaches exist to solve such class of problems, e.g.,…

Networking and Internet Architecture · Computer Science 2011-01-31 Fabio Ricciato , Martin Burkhart

In this paper, we propose a novel construction for secure distributed matrix multiplication (SDMM) based on algebraic geometry (AG) codes, which we call the PoleGap SDMM scheme. The proposed construction is inspired by the GASP code, where…

Information Theory · Computer Science 2023-06-12 Okko Makkonen , Elif Saçıkara , Camilla Hollanti

This paper develops a memory-efficient approach for Sequential Pattern Mining (SPM), a fundamental topic in knowledge discovery that faces a well-known memory bottleneck for large data sets. Our methodology involves a novel hybrid trie data…

Databases · Computer Science 2024-07-30 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

Distributed-memory matrix multiplication (MM) is a key element of algorithms in many domains (machine learning, quantum physics). Conventional algorithms for dense MM rely on regular/uniform data decomposition to ensure load balance. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-21 Justus A. Calvin , Edward F. Valeev

The Gram matrix of a matrix $A$ is defined as $AA^T$ (or $A^T\!A$). Computing the Gram matrix is an important operation in many applications, such as linear regression with the least squares method, where the explicit solution formula…

Information Theory · Computer Science 2023-03-10 Okko Makkonen , Camilla Hollanti
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