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Machines whose main purpose is to permute and sort data are studied. The sets of permutations that can arise are analysed by means of finite automata and avoided pattern techniques. Conditions are given for these sets being enumerated by…

Combinatorics · Mathematics 2007-05-23 M. Albert , M. D. Atkinson , N. Ruskuc

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

This paper presents Privilege Calculus (PC) as a new approach of knowledge representation for Separation of Duty (SD) in the view of process and intents to improve the reconfigurability and traceability of SD. PC presumes that the structure…

Cryptography and Security · Computer Science 2008-06-10 Chenggong Lv , Jun Wang , Lu Liu , Weijia You

We consider the problem of selecting a small subset of representative variables from a large dataset. In the computer science literature, this dimensionality reduction problem is typically formalized as Column Subset Selection (CSS).…

Methodology · Statistics 2025-05-20 Anav Sood , Trevor Hastie

We use an interesting result of probabilistic flavor concerning the product of two permutations consisting of one cycle each to find an explicit formula for the average number of block interchanges needed to sort a permutation of length…

Combinatorics · Mathematics 2008-11-06 Miklos Bona , Ryan Flynn

The Transposition Distance Problem (TDP) is a classical problem in genome rearrangements which seeks to determine the minimum number of transpositions needed to transform a linear chromosome into another represented by the permutations…

Data Structures and Algorithms · Computer Science 2023-07-11 Luiz Augusto G. da Silva , Luis Antonio B. Kowada , Maria Emília M. T. Walter

Variants of the coordinate descent approach for minimizing a nonlinear function are distinguished in part by the order in which coordinates are considered for relaxation. Three common orderings are cyclic (CCD), in which we cycle through…

Optimization and Control · Mathematics 2018-06-05 Ching-Pei Lee , Stephen J. Wright

We derive a closed-form approximation for the credit default swap (CDS) spread in the two-dimensional shifted square-root diffusion (SSRD) model using asymptotic coefficient expansion technique to approximate solutions of nonlinear partial…

Mathematical Finance · Quantitative Finance 2024-10-04 Ankush Agarwal , Ying Liao

This paper addresses the problem of computing a scheduling policy that minimizes the total expected completion time of a set of $N$ jobs with stochastic processing times on $m$ parallel identical machines. When all processing times follow…

Data Structures and Algorithms · Computer Science 2025-05-07 Antonios Antoniadis , Ruben Hoeksma , Kevin Schewior , Marc Uetz

We consider coordinate descent (CD) methods with exact line search on convex quadratic problems. Our main focus is to study the performance of the CD method that use random permutations in each epoch and compare it to the performance of the…

Optimization and Control · Mathematics 2018-03-23 Mert Gurbuzbalaban , Asuman Ozdaglar , Nuri Denizcan Vanli , Stephen J. Wright

Partition selection, or set union, is an important primitive in differentially private mechanism design: in a database where each user contributes a list of items, the goal is to publish as many of these items as possible under differential…

Cryptography and Security · Computer Science 2023-06-23 Marika Swanberg , Damien Desfontaines , Samuel Haney

We introduce a new type of graphical model called a "cumulative distribution network" (CDN), which expresses a joint cumulative distribution as a product of local functions. Each local function can be viewed as providing evidence about…

Machine Learning · Computer Science 2012-06-18 Jim Huang , Brendan J. Frey

Cooperative spectrum sensing has been shown to yield a significant performance improvement in cognitive radio networks. In this paper, we consider distributed cooperative sensing (DCS) in which secondary users (SUs) exchange data with one…

Networking and Internet Architecture · Computer Science 2014-08-15 Tianyu Wang , Lingyang Song , Zhu Han , Walid Saad

Dataset distillation (DD) aims to construct compact synthetic datasets that allow models to achieve comparable performance to full-data training while substantially reducing storage and computation. Despite rapid empirical progress, its…

Machine Learning · Computer Science 2025-12-11 Zhengquan Luo , Zhiqiang Xu

Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposable permutations. In the style of the seminal paper by Simion…

Discrete Mathematics · Computer Science 2024-06-25 Atli Fannar Franklín , Anders Claesson , Christian Bean , Henning Úlfarsson , Jay Pantone

A disordered solid, such as an athermal jammed packing of soft spheres, exists in a rugged potential-energy landscape in which there are a myriad of stable configurations that defy easy enumeration and characterization. Nevertheless, in…

Soft Condensed Matter · Physics 2024-03-26 Varda F. Hagh , Sidney R. Nagel

Deducing the states of spatiotemporally chaotic systems (SCSs) as they evolve in time is crucial for various applications. However, it is a dramatic challenge for generally achieving so due to the complexity of non-periodic dynamics and the…

Quantum Physics · Physics 2025-03-04 Longhan Wang , Yifan Sun , Xiangdong Zhang

Spike sorting plays an irreplaceable role in understanding brain codes. Traditional spike sorting technologies perform feature extraction and clustering separately after spikes are well detected. However, it may often cause many additional…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Libo Huang , Lu Gan , Bingo Wing-Kuen Ling

The data mining technique of time series clustering is well established in many fields. However, as an unsupervised learning method, it requires making choices that are nontrivially influenced by the nature of the data involved. The aim of…

Econometrics · Economics 2018-07-19 Iwo Augustyński , Paweł Laskoś-Grabowski

In-place associative integer sorting technique was developed, improved and specialized for distinct integers. The technique is suitable for integer sorting. Hence, given a list S of n integers S[0...n-1], the technique sorts the integers in…

Data Structures and Algorithms · Computer Science 2012-10-08 A. Emre Cetin