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We study the inherent space requirements of shared storage algorithms in asynchronous fault-prone systems. Previous works use codes to achieve a better storage cost than the well-known replication approach. However, a closer look reveals…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Alexander Spiegelman , Yuval Cassuto , Gregory Chockler , Idit Keidar

We examine the problem of allocating a given total storage budget in a distributed storage system for maximum reliability. A source has a single data object that is to be coded and stored over a set of storage nodes; it is allowed to store…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

A set-system $S\subseteq \{0,1\}^n$ is cube-ideal if its convex hull can be described by capacity and generalized set covering inequalities. In this paper, we use combinatorics, convex geometry, and polyhedral theory to give exponential…

Combinatorics · Mathematics 2026-04-21 Ahmad Abdi , Gérard Cornuéjols , Daniel Dadush , Mahsa Dalirrooyfard

Understanding the metric structure of permutation families is fundamental to combinatorics and has applications in social choice theory, bioinformatics, and coding theory. We study permutation families defined by restriction…

Discrete Mathematics · Computer Science 2025-07-16 Danylo Tymoshenko , Leonhard Nagel

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Vivek Khatana , Murti V. Salapaka

We study general techniques for implementing distributed data structures on top of future many-core architectures with non cache-coherent or partially cache-coherent memory. With the goal of contributing towards what might become, in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-09 Panagiota Fatourou , Nikolaos D. Kallimanis , Eleni Kanellou , Odysseas Makridakis , Christi Symeonidou

Collaborative working is increasingly popular, but it presents challenges due to the need for high responsiveness and disconnected work support. To address these challenges the data is optimistically replicated at the edges of the network,…

Databases · Computer Science 2012-12-12 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

Large data sets often require performing distributed statistical estimation, with a full data set split across multiple machines and limited communication between machines. To study such scenarios, we define and study some refinements of…

Information Theory · Computer Science 2014-06-24 John C. Duchi , Michael I. Jordan , Martin J. Wainwright , Yuchen Zhang

Caregivers of individuals with autism spectrum disorder (ASD) often find the 77-item Autism Treatment Evaluation Checklist (ATEC) burdensome, limiting its use for routine monitoring. This study introduces a generalizable machine learning…

Applications · Statistics 2025-11-03 Audrey Dong , Claire Xu , Samuel R. Guo , Kevin Yang , Xue-Jun Kong

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

We study the problem of computing a full Conjunctive Query in parallel using $p$ heterogeneous machines. Our computational model is similar to the MPC model, but each machine has its own cost function mapping from the number of bits it…

Databases · Computer Science 2025-03-12 Simon Frisk , Paraschos Koutris

Exploiting the recent advancements in artificial intelligence, showcased by ChatGPT and DALL-E, in real-world applications necessitates vast, domain-specific, and publicly accessible datasets. Unfortunately, the scarcity of such datasets…

Machine Learning · Computer Science 2023-05-17 Cyril Picard , Jürg Schiffmann , Faez Ahmed

We investigate online scheduling with commitment for parallel identical machines. Our objective is to maximize the total processing time of accepted jobs. As soon as a job has been submitted, the commitment constraint forces us to decide…

Data Structures and Algorithms · Computer Science 2019-04-15 Chris Schwiegelshohn , Uwe Schwiegelshohn

After Amdahl's trailblazing work, many other authors proposed analytical speedup models but none have considered the limiting effect of the memory wall. These models exploited aspects such as problem-size variation, memory size,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Alex F. A. Furtunato , Kyriakos Georgiou , Kerstin Eder , Samuel Xavier-de-Souza

Traditional statistical analysis requires that the analysis process and data are independent. By contrast, the new field of adaptive data analysis hopes to understand and provide algorithms and accuracy guarantees for research as it is…

Machine Learning · Computer Science 2017-03-22 Sam Elder

Round-based models are very common message-passing models; combinatorial topology applied to distributed computing provides sweeping results like general lower bounds. We combine both to study the computability of k-set agreement. Among all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-15 Adam Shimi , Armando Castañeda

Recent development in computing, sensing and crowd-sourced data have resulted in an explosion in the availability of quantitative information. The possibilities of analyzing this so-called Big Data to inform research and the decision-making…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Nguyen Ho , Huy Vo , Mai Vu , Torben Bach Pedersen

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

Data Structures and Algorithms · Computer Science 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

Machine learning models have traditionally been developed under the assumption that the training and test distributions match exactly. However, recent success in few-shot learning and related problems are encouraging signs that these models…

Machine Learning · Statistics 2020-10-15 James Lucas , Mengye Ren , Irene Kameni , Toniann Pitassi , Richard Zemel

This paper examines how data inputs shape competition among artificial intelligences (AIs) in pricing games. The dataset assigns labels to consumers and divides them into different markets, thereby inducing multimarket contact among AIs. We…

General Economics · Economics 2025-12-30 Zhang Xu , Mingsheng Zhang , Wei Zhao
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