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Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

Machine Learning · Computer Science 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalable, meaning that the local memory in each machine may be…

Data Structures and Algorithms · Computer Science 2024-07-09 Artur Czumaj , Guichen Gao , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý

We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the…

Data Structures and Algorithms · Computer Science 2015-05-18 Jaroslaw Byrka , Aravind Srinivasan , Chaitanya Swamy

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

The sheer sizes of modern datasets are forcing data-structure designers to consider seriously both parallel construction and compactness. To achieve those goals we need to design a parallel algorithm with good scalability and with low…

Data Structures and Algorithms · Computer Science 2017-05-02 Leo Ferres , José Fuentes-Sepúlveda , Travis Gagie , Meng He , Gonzalo Navarro

With the rapid advancement of technology, parallel computing applications have become increasingly popular and are commonly executed in large data centers. These applications involve two phases: computation and communication, which are…

Data Structures and Algorithms · Computer Science 2023-06-16 Chi-Yeh Chen , Jun Chen

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

Parallelization is a popular strategy for improving the performance of iterative algorithms. Optimization methods are no exception: design of efficient parallel optimization methods and tight analysis of their theoretical properties are…

Optimization and Control · Mathematics 2023-11-28 Alexander Tyurin , Peter Richtárik

The \textit{facility location} problem consists of a set of \textit{facilities} $\mathcal{F}$, a set of \textit{clients} $\mathcal{C}$, an \textit{opening cost} $f_i$ associated with each facility $x_i$, and a \textit{connection cost}…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-14 James Hegeman , Sriram V. Pemmaraju

In this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

The recent years have witnessed advances in parallel algorithms for large scale optimization problems. Notwithstanding demonstrated success, existing algorithms that parallelize over features are usually limited by divergence issues under…

Machine Learning · Computer Science 2017-12-08 An Bian , Xiong Li , Yuncai Liu , Ming-Hsuan Yang

Clustering multidimensional points is a fundamental data mining task, with applications in many fields, such as astronomy, neuroscience, bioinformatics, and computer vision. The goal of clustering algorithms is to group similar objects…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Yihao Huang , Shangdi Yu , Julian Shun

There are two intertwined factors that affect performance of concurrent data structures: the ability of processes to access the data in parallel and the cost of synchronization. It has been observed that for a large class of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-10 Vitaly Aksenov , Petr Kuznetsov

This work presents a decentralized allocation algorithm of safety-critical application on parallel computing architectures, where individual Computational Units can be affected by faults. The described method consists in representing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Thanakorn Khamvilai , Louis Sutter , Eric Feron , Philippe Baufreton , Francois Neumann

Sequential models, such as Recurrent Neural Networks and Neural Ordinary Differential Equations, have long suffered from slow training due to their inherent sequential nature. For many years this bottleneck has persisted, as many thought…

Machine Learning · Computer Science 2024-01-17 Yi Heng Lim , Qi Zhu , Joshua Selfridge , Muhammad Firmansyah Kasim

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

Optimization and Control · Mathematics 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

Data Structures and Algorithms · Computer Science 2020-07-27 Weidong Li

Coflow is a network abstraction used to represent communication patterns in data centers. The coflow scheduling problem in large data centers is one of the most important $NP$-hard problems. Many previous studies on coflow scheduling mainly…

Data Structures and Algorithms · Computer Science 2023-08-31 Chi-Yeh Chen
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