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Coded polynomial aggregation (CPA) in distributed computing systems enables the master to directly recover a weighted aggregation of polynomial computations without individually decoding each term, thereby reducing the number of required…

Information Theory · Computer Science 2026-02-04 Xi Zhong , Jörg Kliewer , Mingyue Ji

With the growth of data and necessity for distributed optimization methods, solvers that work well on a single machine must be re-designed to leverage distributed computation. Recent work in this area has been limited by focusing heavily on…

Machine Learning · Computer Science 2016-08-04 Chenxin Ma , Jakub Konečný , Martin Jaggi , Virginia Smith , Michael I. Jordan , Peter Richtárik , Martin Takáč

Computationally intensive decoding procedures--including search, reranking, and self-critique--can improve the quality of language model (LM) outputs in problems spanning code generation, numerical reasoning, and dialog. Existing work…

Machine Learning · Computer Science 2024-10-08 Mehul Damani , Idan Shenfeld , Andi Peng , Andreea Bobu , Jacob Andreas

A central theme in distributed network algorithms concerns understanding and coping with the issue of locality. Inspired by sequential complexity theory, we focus on a complexity theory for distributed decision problems. In the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-04 Pierre Fraigniaud , Amos Korman , David Peleg

Coded caching is a technique that leverages locally cached contents at the end users to reduce the network's peak-time communication load. Coded caching has been shown to achieve significant performance gains with a centralized placement…

Information Theory · Computer Science 2026-05-01 Yinbin Ma , Daniela Tuninetti

Coded distributed computing (CDC) is a new technique proposed with the purpose of decreasing the intense data exchange required for parallelizing distributed computing systems. Under the famous MapReduce paradigm, this coded approach has…

Information Theory · Computer Science 2022-06-28 Federico Brunero , Petros Elia

For input $x$, let $F(x)$ denote the set of outputs that are the "legal" answers for a computational problem $F$. Suppose $x$ and members of $F(x)$ are so large that there is not time to read them in their entirety. We propose a model of…

Data Structures and Algorithms · Computer Science 2011-04-08 Ronitt Rubinfeld , Gil Tamir , Shai Vardi , Ning Xie

Gradient coding schemes effectively mitigate full stragglers in distributed learning by introducing identical redundancy in coded local partial derivatives corresponding to all model parameters. However, they are no longer effective for…

Information Theory · Computer Science 2023-04-26 Qi Wang , Ying Cui , Chenglin Li , Junni Zou , Hongkai Xiong

We extend coded distributed computing over finite fields to allow the number of workers to be larger than the field size. We give codes that work for fully general matrix multiplication and show that in this case we serendipitously have…

Information Theory · Computer Science 2024-10-30 Gretchen L. Matthews , Pedro Soto

In this paper we propose a new efficient linear programming based approach for multi-resource allocation and location problems in disaster management. Such problems require an integer solution and therefore, in most cases, the computations…

Optimization and Control · Mathematics 2018-12-05 Behrooz Bodaghi , Nadezda Sukhorukova

We consider the recently proposed Coded Distributed Computing (CDC) framework that leverages carefully designed redundant computations to enable coding opportunities that substantially reduce the communication load of distributed computing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Mehrdad Kiamari , Chenwei Wang , A. Salman Avestimehr

In cloud computing, storage area networks, remote backup storage, and similar settings, stored data is modified with updates from new versions. Representing information and modifying the representation are both expensive. Therefore it is…

Information Theory · Computer Science 2011-05-11 Lav R. Varshney , Julius Kusuma , Vivek K Goyal

Linear real-valued computations over distributed datasets are common in many applications, most notably as part of machine learning inference. In particular, linear computations that are quantized, i.e., where the coefficients are…

Information Theory · Computer Science 2023-11-27 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Cloud Computing (CC) is a model for enabling on-demand access to a shared pool of configurable computing resources. Testing and evaluating the performance of the cloud environment for allocating, provisioning, scheduling, and data…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-09 Ahmed H. Abase , Mohamed H. Khafagy , Fatma A. Omara

The under exploitation of the available resources risks to be one of the main problems for a computing center. The growing demand of computational power necessarily entails more complex approaches in the management of the computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-01 Federico Calzolari , Silvia Volpe

Runtime variability in computing systems causes some tasks to straggle and take much longer than expected to complete. These straggler tasks are known to significantly slowdown distributed computation. Job execution with speculative…

Performance · Computer Science 2019-06-14 Mehmet Fatih Aktas , Emina Soljanin

Federated Learning (FL) is an exciting new paradigm that enables training a global model from data generated locally at the client nodes, without moving client data to a centralized server. Performance of FL in a multi-access edge computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-11 Saurav Prakash , Sagar Dhakal , Mustafa Akdeniz , A. Salman Avestimehr , Nageen Himayat

We consider the problem of communication efficient secure distributed matrix multiplication. The previous literature has focused on reducing the number of servers as a proxy for minimizing communication costs. The intuition being, that the…

Information Theory · Computer Science 2022-06-10 Roberto Assis Machado , Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein

The Alternating Direction Method of Multipliers has recently been adapted for Linear Programming Decoding of Low-Density Parity-Check codes. The computation of the projection onto the parity polytope is the core of this algorithm and…

Information Theory · Computer Science 2019-01-11 Florian Gensheimer , Tobias Dietz , Kira Kraft , Stefan Ruzika , Norbert Wehn

Error-correcting codes and related combinatorial constructs play an important role in several recent (and old) results in computational complexity theory. In this paper we survey results on locally-testable and locally-decodable…

Computational Complexity · Computer Science 2007-07-13 Luca Trevisan