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Clustering is a fundamental problem in unsupervised machine learning with many applications in data analysis. Popular clustering algorithms such as Lloyd's algorithm and $k$-means++ can take $\Omega(ndk)$ time when clustering $n$ points in…

Machine Learning · Computer Science 2023-10-26 Moses Charikar , Monika Henzinger , Lunjia Hu , Maxmilian Vötsch , Erik Waingarten

Given an array $\mathcal{A}$ of $n$ elements and a value $2 \leq k \leq n$, a frequent item or $k$-majority element is an element occurring in $\mathcal{A}$ more than $n/k$ times. The $k$-majority problem requires finding all of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-12 Massimo Cafaro , Marco Pulimeno , Italo Epicoco , Giovanni Aloisio

The celebrated \emph{asynchronous computability theorem} provides a characterization of the class of decision tasks that can be solved in a wait-free manner by asynchronous processes that communicate by writing and taking atomic snapshots…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-18 Fernando Benavides , Sergio Rajsbaum

Motion planning is an essential aspect of autonomous systems and robotics and is an active area of research. A recently-proposed sampling-based motion planning algorithm, termed 'Generalized Shape Expansion' (GSE), has been shown to possess…

Robotics · Computer Science 2021-02-24 Adhvaith Ramkumar , Vrushabh Zinage , Satadal Ghosh

We study distributed algorithms implemented in a simplified biologically inspired model for stochastic spiking neural networks. We focus on tradeoffs between computation time and network complexity, along with the role of randomness in…

Neural and Evolutionary Computing · Computer Science 2017-08-22 Nancy Lynch , Cameron Musco , Merav Parter

Safe memory reclamation (SMR) algorithms are crucial for preventing use-after-free errors in optimistic data structures. SMR algorithms typically delay reclamation for safety and reclaim objects in batches for efficiency. It is difficult to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-28 Ajay Singh , Trevor Brown , Michael Spear

We study the shared processor scheduling problem with a single shared processor where a unit time saving (weight) obtained by processing a job on the shared processor depends on the job. A polynomial-time optimization algorithm has been…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Wieslaw Kubiak

We present the Glasgow Parallel Reduction Machine (GPRM), a novel, flexible framework for parallel task-composition based many-core programming. We allow the programmer to structure programs into task code, written as C++ classes, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Ashkan Tousimojarad , Wim Vanderbauwhede

In this paper, we study the classic submodular maximization problem subject to a group equality constraint under both non-adaptive and adaptive settings. It has been shown that the utility function of many machine learning applications,…

Machine Learning · Computer Science 2023-08-30 Shaojie Tang , Jing Yuan

Collaborative text editing algorithms allow several users to concurrently modify a text file, and automatically merge concurrent edits into a consistent state. Existing algorithms fall in two categories: Operational Transformation (OT)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-24 Joseph Gentle , Martin Kleppmann

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

Preamble collision is a bottleneck that impairs the performance of random access (RA) user equipment (UE) in grant-free RA (GFRA). In this paper, by leveraging distributed massive multiple input multiple output (mMIMO) together with machine…

Signal Processing · Electrical Eng. & Systems 2020-12-29 Jie Ding , Daiming Qu , Pei Liu , Jinho Choi

Stochastic Gradient Descent (SGD) is a popular algorithm that can achieve state-of-the-art performance on a variety of machine learning tasks. Several researchers have recently proposed schemes to parallelize SGD, but all require…

Optimization and Control · Mathematics 2011-11-14 Feng Niu , Benjamin Recht , Christopher Re , Stephen J. Wright

Community detection in complex networks is a topic of considerable recent interest within the scientific community. For dealing with the problem that genetic algorithm are hardly applied to community detection, we propose a genetic…

Social and Information Networks · Computer Science 2013-03-25 Dongxiao He , Zhe Wang , Bin Yang , Chunguang Zhou

For several decades, the CPU has been the standard model to use in the majority of computing. While the CPU does excel in some areas, heterogeneous computing, such as reconfigurable hardware, is showing increasing potential in areas like…

Hardware Architecture · Computer Science 2021-04-21 Carl-Johannes Johnsen , Alberte Thegler , Kenneth Skovhede , Brian Vinter

The disjoint set union problem is a basic problem in data structures with a wide variety of applications. We extend a known efficient sequential algorithm for this problem to obtain a simple and efficient concurrent wait-free algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Siddhartha V. Jayanti , Robert E. Tarjan

We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jump rate satisfying an exclusion rule that allows up to a…

Probability · Mathematics 2026-04-15 Patrícia Gonçalves , Kohei Hayashi , Makiko Sasada

A simultaneous embedding (with fixed edges) of two graphs $G^1$ and $G^2$ with common graph $G=G^1 \cap G^2$ is a pair of planar drawings of $G^1$ and $G^2$ that coincide on $G$. It is an open question whether there is a polynomial-time…

Data Structures and Algorithms · Computer Science 2015-06-19 Thomas Bläsius , Annette Karrer , Ignaz Rutter

Fast matrix algorithms have become the fundamental tools of machine learning in big data era. The generalized matrix regression problem is widely used in the matrix approximation such as CUR decomposition, kernel matrix approximation, and…

Machine Learning · Computer Science 2019-12-30 Haishan Ye , Shusen Wang , Zhihua Zhang , Tong Zhang
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