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A generalization of the heapsort algorithm is proposed. At the expense of about 50% more comparison and move operations for typical cases, the dualheap sort algorithm offers several advantages over heapsort: improved cache performance,…

Data Structures and Algorithms · Computer Science 2007-06-21 Greg Sepesi

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

This paper presents a deterministic parallelization to explore a Constraint Programming search space. This work is an answer to an industrial project named PAJERO, which is in need of a parallel constraint solver which always responds with…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-12 Tarek Menouer , Bertrand Le Cun

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

Optimization and Control · Mathematics 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

An algorithm is described that enables efficient deterministic approximate computation of the bootstrap distribution for any linear bootstrap method $T_n^*$, alleviating the need for repeated resampling from observations (resp.…

Methodology · Statistics 2019-04-10 Thomas Pitschel

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

Randomized saturation designs are a family of designs which assign a possibly different treatment proportion to each cluster of a population at random. As a result, they generalize the well-known (stratified) completely randomized designs…

Methodology · Statistics 2022-03-21 Chencheng Cai , Jean Pouget-Abadie , Edoardo M. Airoldi

Key-based workload partitioning is a common strategy used in parallel stream processing engines, enabling effective key-value tuple distribution over worker threads in a logical operator. While randomized hashing on the keys is capable of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-14 Junhua Fang , Rong Zhang , Tom Z. J. Fu , Zhenjie Zhang , Aoying Zhou , Junhua Zhu

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-03 Lev Kazakovtsev

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

To minimize data movement, state-of-the-art parallel sorting algorithms use techniques based on sampling and histogramming to partition keys prior to redistribution. Sampling enables partitioning to be done using a representative subset of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Vipul Harsh , Laxmikant Kale , Edgar Solomonik

The bulk-synchronous parallel (BSP) model provides a framework for writing parallel programs with predictable performance. In this paper we extend the BSP model to support what we will call pseudo-streaming algorithms for accelerators. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-24 Jan-Willem Buurlage , Tom Bannink , Abe Wits

Smart Sort algorithm is a "smart" fusion of heap construction procedures (of Heap sort algorithm) into the conventional "Partition" function (of Quick sort algorithm) resulting in a robust version of Quick sort algorithm. We have also…

Data Structures and Algorithms · Computer Science 2012-04-24 Niraj Kumar Singh , Soubhik Chakraborty

Conventional sorting algorithms make use of such data structures as array, file and list which define access methods of the items to be sorted. Such traditional methods as exchange sort, divide and conquer sort, selection sort and insertion…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-17 Samuel King Opoku

Stochastic algorithms are efficient approaches to solving machine learning and optimization problems. In this paper, we propose a general framework called Splash for parallelizing stochastic algorithms on multi-node distributed systems.…

Machine Learning · Computer Science 2015-09-24 Yuchen Zhang , Michael I. Jordan

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2019-12-10 Biyi Fang , Diego Klabjan

We show that a particular class of parallel algorithm for linear functions can be straightforwardly generalized to a parallel algorithm of their tensor product. The central idea is to take a model of parallel algorithms -- Bulk Synchronous…

Category Theory · Mathematics 2025-10-02 Thomas Koopman , Rob H. Bisseling , Sven-Bodo Scholz

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais