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A majority of coded matrix-matrix computation literature has broadly focused in two directions: matrix partitioning for computing a single computation task and batch processing of multiple distinct computation tasks. While these works…

Information Theory · Computer Science 2022-01-04 Lev Tauz , Lara Dolecek

A parallel algorithm has perfect strong scaling if its running time on P processors is linear in 1/P, including all communication costs. Distributed-memory parallel algorithms for matrix multiplication with perfect strong scaling have only…

Data Structures and Algorithms · Computer Science 2012-02-16 Grey Ballard , James Demmel , Olga Holtz , Benjamin Lipshitz , Oded Schwartz

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

We study the Parallel Task Scheduling problem $Pm|size_j|C_{\max}$ with a constant number of machines. This problem is known to be strongly NP-complete for each $m \geq 5$, while it is solvable in pseudo-polynomial time for each $m \leq 3$.…

Computational Complexity · Computer Science 2017-05-15 Sören Henning , Klaus Jansen , Malin Rau , Lars Schmarje

Distributed computation is a framework used to break down a complex computational task into smaller tasks and distributing them among computational nodes. Erasure correction codes have recently been introduced and have become a popular…

Information Theory · Computer Science 2021-08-17 Royee Yosibash , Ram Zamir

We consider polynomial codes for private distributed matrix multiplication (PDMM/SDMM). Existing codes for PDMM are either specialized for the outer product partitioning (OPP), or inner product partitioning (IPP), or are valid for the more…

Information Theory · Computer Science 2026-01-27 Christoph Hofmeister , Razane Tajeddine , Antonia Wachter-Zeh , Rawad Bitar

Presented with a new machine with a specific interconnect topology, algorithm designers use intuition about the symmetry of the algorithm to design time and communication-efficient schedules that map the algorithm to the machine. Is there a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Harsha Vardhan Simhadri

This paper is aimed at designing efficient parallel matrix-product algorithms for heterogeneous master-worker platforms. While matrix-product is well-understood for homogeneous 2D-arrays of processors (e.g., Cannon algorithm and ScaLAPACK…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jack Dongarra , Jean-Francois Pineau , Yves Robert , Zhiao Shi , Frederic Vivien

Fault tolerance is a major concern in distributed computational settings. In the classic master-worker setting, a server (the master) needs to perform some heavy computation which it may distribute to $m$ other machines (workers) in order…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-30 Keren Censor-Hillel , Yuka Machino , Pedro Soto

We consider the problem of distributedly computing a general class of functions, referred to as gradient-type computation, while maintaining the privacy of the input dataset. Gradient-type computation evaluates the sum of some `partial…

Information Theory · Computer Science 2019-05-01 Qian Yu , A. Salman Avestimehr

Distributed maximization of a submodular function in the MapReduce (MR) model has received much attention, culminating in two frameworks that allow a centralized algorithm to be run in the MR setting without loss of approximation, as long…

Data Structures and Algorithms · Computer Science 2024-09-17 Yixin Chen , Tonmoy Dey , Alan Kuhnle

We study shared processor scheduling of $\textit{multiprocessor}$ weighted jobs where each job can be executed on its private processor and simultaneously on possibly $\textit{many}$ processors shared by all jobs in order to reduce their…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Wieslaw Kubiak

Iterative majorize-minimize (MM) (also called optimization transfer) algorithms solve challenging numerical optimization problems by solving a series of "easier" optimization problems that are constructed to guarantee monotonic descent of…

Computation · Statistics 2015-10-23 Madison G. McGaffin , Jeffrey A. Fessler

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

Information Theory · Computer Science 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

Artificial Intelligence · Computer Science 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

Distributed learning platforms for processing large scale data-sets are becoming increasingly prevalent. In typical distributed implementations, a centralized master node breaks the data-set into smaller batches for parallel processing…

Information Theory · Computer Science 2016-10-03 Mohamed Attia , Ravi Tandon

Sampling-based motion planning algorithms are widely used in robotics because they are very effective in high-dimensional spaces. However, the success rate and quality of the solutions are determined by an adequate selection of their…

Finding the number of triangles in a network is an important problem in the analysis of complex networks. The number of triangles also has important applications in data mining. Existing distributed memory parallel algorithms for counting…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-24 Shaikh Arifuzzaman , Maleq Khan , Madhav Marathe

Gradient coding is a distributed computing technique for computing gradient vectors over large datasets by outsourcing partial computations to multiple workers, typically connected directly to the server. In this work, we investigate…

Information Theory · Computer Science 2025-11-24 Ali Gholami , Tayyebeh Jahani-Nezhad , Kai Wan , Giuseppe Caire