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Coded computing is an effective technique to mitigate "stragglers" in large-scale and distributed matrix multiplication. In particular, univariate polynomial codes have been shown to be effective in straggler mitigation by making the…

Information Theory · Computer Science 2021-08-19 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

Fueled by its successful commercialization, the recommender system (RS) has gained widespread attention. However, as the training data fed into the RS models are often highly sensitive, it ultimately leads to severe privacy concerns,…

Cryptography and Security · Computer Science 2022-12-06 Hao Ren , Guowen Xu , Tianwei Zhang , Jianting Ning , Xinyi Huang , Hongwei Li , Rongxing Lu

Coded distributed computing has been considered as a promising technique which makes large-scale systems robust to the "straggler" workers. Yet, practical system models for distributed computing have not been available that reflect the…

Information Theory · Computer Science 2019-01-17 Muah Kim , Jy-yong Sohn , Jaekyun Moon

We introduce an algorithm for efficiently representing convolution with zero-padding and stride as a sparse transformation matrix, applied to a vectorized input through sparse matrix-vector multiplication (SpMV). We provide a theoretical…

Machine Learning · Computer Science 2024-12-02 Zan Chaudhry

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

Numerical Analysis · Mathematics 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

Coded computation techniques provide robustness against straggling workers in distributed computing. However, most of the existing schemes require exact provisioning of the straggling behaviour and ignore the computations carried out by…

Information Theory · Computer Science 2021-12-07 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

We consider the problem of secure distributed matrix multiplication in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. In this paper, we answer the following question: Is it…

Information Theory · Computer Science 2020-05-12 Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk

In distributed computing systems, it is well recognized that worker nodes that are slow (called stragglers) tend to dominate the overall job execution time. Coded computation utilizes concepts from erasure coding to mitigate the effect of…

Information Theory · Computer Science 2018-09-18 Anindya B. Das , Li Tang , Aditya Ramamoorthy

Scientific collaborations benefit from collaborative learning of distributed sources, but remain difficult to achieve when data are sensitive. In recent years, privacy preserving techniques have been widely studied to analyze distributed…

Cryptography and Security · Computer Science 2022-06-30 Guanhong Miao , A. Adam Ding , Samuel S. Wu

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 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

Data privacy is an important issue for organizations and enterprises to securely outsource data storage, sharing, and computation on clouds / fogs. However, data encryption is complicated in terms of the key management and distribution;…

Cryptography and Security · Computer Science 2021-01-13 Jenn-Bing Ong , Wee-Keong Ng , Ivan Tjuawinata , Chao Li , Jielin Yang , Sai None Myne , Huaxiong Wang , Kwok-Yan Lam , C. -C. Jay Kuo

We introduce a data distribution scheme for $\mathcal{H}$-matrices and a distributed-memory algorithm for $\mathcal{H}$-matrix-vector multiplication. Our data distribution scheme avoids an expensive $\Omega(P^2)$ scheduling procedure used…

Numerical Analysis · Mathematics 2020-09-23 Yingzhou Li , Jack Poulson , Lexing Ying

We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

In the traditional index coding problem, a server employs coding to send messages to $n$ clients within the same broadcast domain. Each client already has some messages as side information and requests a particular unknown message from the…

Information Theory · Computer Science 2018-09-25 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

We propose a novel approach to iterated sparse matrix dense matrix multiplication, a fundamental computational kernel in scientific computing and graph neural network training. In cases where matrix sizes exceed the memory of a single…

Slow working nodes, known as stragglers, can greatly reduce the speed of distributed computation. Coded matrix multiplication is a recently introduced technique that enables straggler-resistant distributed multiplication of large matrices.…

Information Theory · Computer Science 2019-07-23 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

Building on the previous work of Lee et al. and Ferdinand et al. on coded computation, we propose a sequential approximation framework for solving optimization problems in a distributed manner. In a distributed computation system, latency…

Information Theory · Computer Science 2017-10-26 Jingge Zhu , Ye Pu , Vipul Gupta , Claire Tomlin , Kannan Ramchandran

Distributed computing enables large-scale computation tasks to be processed over multiple workers in parallel. However, the randomness of communication and computation delays across workers causes the straggler effect, which may degrade the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz