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The distributed linearly separable computation problem finds extensive applications across domains such as distributed gradient coding, distributed linear transform, real-time rendering, etc. In this paper, we investigate this problem in a…

Information Theory · Computer Science 2024-01-30 Haoning Chen , Minquan Cheng , Zhenhao Huang , Youlong Wu

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

We consider the problem of private multiple linear computation (PMLC) over a replicated storage system with colluding and unresponsive constraints. In this scenario, the user wishes to privately compute $P$ linear combinations of $M$ files…

Information Theory · Computer Science 2024-04-16 Jinbao Zhu , Lanping Li , Xiaohu Tang , Ping Deng

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

Optimization and Control · Mathematics 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

Edge computing is emerging as a new paradigm to allow processing data at the edge of the network, where data is typically generated and collected, by exploiting multiple devices at the edge collectively. However, exploiting the potential of…

Information Theory · Computer Science 2021-06-17 Elahe Vedadi , Hulya Seferoglu

Distributed matrix computations over large clusters can suffer from the problem of slow or failed worker nodes (called stragglers) which can dominate the overall job execution time. Coded computation utilizes concepts from erasure coding to…

Information Theory · Computer Science 2021-09-27 Anindya Bijoy Das , Aditya Ramamoorthy

In this study we consider rateless coding over discrete memoryless channels (DMC) with feedback. Unlike traditional fixed-rate codes, in rateless codes each codeword is infinitely long, and the decoding time depends on the confidence level…

Information Theory · Computer Science 2012-01-30 Navot Blits

Distributed multi-task learning (DMTL) effectively improves model generalization performance through the collaborative training of multiple related models. However, in large-scale learning scenarios, communication bottlenecks severely limit…

Information Theory · Computer Science 2025-07-25 Minquan Cheng , Yongkang Wang , Lingyu Zhang , Youlong Wu

We consider the problem of secure distributed matrix multiplication (SDMM) in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. We construct polynomial codes for SDMM by studying a…

Information Theory · Computer Science 2021-06-21 Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk

Most current distributed processing research deals with improving the flexibility and convergence speed of algorithms for networks of finite size with no constraints on information sharing and no concept for expected levels of signal…

Signal Processing · Electrical Eng. & Systems 2019-12-19 Matt O'Connor , W. Bastiaan Kleijn

We introduce two generalizations to the paradigm of using Random Khatri-Rao Product (RKRP) codes for distributed matrix multiplication. We first introduce a class of codes called Sparse Random Khatri-Rao Product (SRKRP) codes which have…

Information Theory · Computer Science 2022-05-13 Ruowan Ji , Anoosheh Heidarzadeh , Krishna R. Narayanan

We study a collaborative revenue management problem where multiple decentralized parties agree to share some of their capacities. This collaboration is performed by constructing a large mathematical programming model available to all…

Optimization and Control · Mathematics 2021-12-30 Utku Karaca , S. Ilker Birbil , Nursen Aydin , Gizem Mullaoglu

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

Distributed processing frameworks, such as MapReduce, Hadoop, and Spark are popular systems for processing large amounts of data. The design of efficient algorithms in these frameworks is a challenging problem, as the systems both require…

Data Structures and Algorithms · Computer Science 2019-05-07 MohammadTaghi Hajiaghayi , Silvio Lattanzi , Saeed Seddighin , Cliff Stein

We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh

Service rate is an important, recently introduced, performance metric associated with distributed coded storage systems. Among other interpretations, it measures the number of users that can be simultaneously served by the storage system.…

Information Theory · Computer Science 2020-01-27 Fatemeh Kazemi , Sascha Kurz , Emina Soljanin

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

The problem of straggler mitigation in distributed matrix multiplication (DMM) is considered for a large number of worker nodes and a fixed small finite field. Polynomial codes and matdot codes are generalized by making use of algebraic…

Information Theory · Computer Science 2024-01-25 Adrián Fidalgo-Díaz , Umberto Martínez-Peñas

The problem of distributed matrix multiplication with straggler tolerance over finite fields is considered, focusing on field sizes for which previous solutions were not applicable (for instance, the field of two elements). We employ…

Information Theory · Computer Science 2024-12-02 Adrián Fidalgo-Díaz , Umberto Martínez-Peñas

Distributed matrix computations -- matrix-matrix or matrix-vector multiplications -- are well-recognized to suffer from the problem of stragglers (slow or failed worker nodes). Much of prior work in this area is (i) either sub-optimal in…

Information Theory · Computer Science 2020-06-03 Anindya B. Das , Aditya Ramamoorthy , Namrata Vaswani
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