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Given a set S of integers whose sum is zero, consider the problem of finding a permutation of these integers such that: (i) all prefix sums of the ordering are nonnegative, and (ii) the maximum value of a prefix sum is minimized. Kellerer…

数据结构与算法 · 计算机科学 2018-04-10 Alantha Newman , Heiko Röglin , Johanna Seif

We show how an algorithm for the problem of inverting a permutation may be used to design one for the problem of unordered search (with a unique solution). Since there is a straightforward reduction in the reverse direction, the problems…

量子物理 · 物理学 2011-03-14 Ashwin Nayak

We consider the optimization problem of constructing a binary orthogonal array (OA) starting from a bigger one, by removing a specified amount of lines. In particular, we develop a genetic algorithm (GA) where the underlying chromosomes are…

神经与进化计算 · 计算机科学 2021-11-29 Luca Mariot

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

统计力学 · 物理学 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

The Traveling salesman problem (TSP) is proved to be NP-complete in most cases. The genetic algorithm (GA) is one of the most useful algorithms for solving this problem. In this paper a conventional GA is compared with an improved hybrid GA…

神经与进化计算 · 计算机科学 2014-09-11 Keivan Borna , Vahid Haji Hashemi

We address the problem of computing distances between rankings that take into account similarities between candidates. The need for evaluating such distances is governed by applications as diverse as rank aggregation, bioinformatics, social…

数据结构与算法 · 计算机科学 2014-11-20 Farzad Farnoud , Lili Su , Gregory J. Puleo , Olgica Milenkovic

In this thesis we propose new methods for crossover operator namely: cut on worst gene (COWGC), cut on worst L+R gene (COWLRGC) and Collision Crossovers. And also we propose several types of mutation operator such as: worst gene with random…

神经与进化计算 · 计算机科学 2018-01-26 Esra'a O Alkafaween

We study approximation algorithms for the forest cover and bounded forest cover problems. A probabilistic $2+\epsilon$ approximation algorithm for the forest cover problem is given using the method of dual fitting. A deterministic algorithm…

数据结构与算法 · 计算机科学 2024-11-26 Daya Ram Gaur , Barun Gorain , Shaswati Patra , Rishi Ranjan Singh

The shuffled linear regression problem aims to recover linear relationships in datasets where the correspondence between input and output is unknown. This problem arises in a wide range of applications including survey data, in which one…

统计计算 · 统计学 2022-10-03 Efe Onaran , Soledad Villar

Cancelable biometric techniques have been used to prevent the compromise of biometric data by generating and using their corresponding cancelable templates for user authentication. However, the non-invertible distance preserving…

密码学与安全 · 计算机科学 2021-05-25 Sani M. Abdullahi , Sun Shuifa

The genetic code has been shown to be very error robust compared to randomly selected codes, but to be significantly less error robust than a certain code found by a heuristic algorithm. We formulate this optimisation problem as a Quadratic…

定量方法 · 定量生物学 2015-03-13 Harry Buhrman , Peter T. S. van der Gulik , Steven M. Kelk , Wouter M. Koolen , Leen Stougie

An implementation and an application of the combination of the genetic algorithm and Newton's method for solving a system of nonlinear equations is presented. The method first uses the advantage of the robustness of the genetic algorithm…

数值分析 · 数学 2020-07-13 Ryuji Koshikawa , Akira Terui , Masahiko Mikawa

This paper characterizes and discusses devolutionary genetic algorithms and evaluates their performances in solving the minimum labeling Steiner tree (MLST) problem. We define devolutionary algorithms as the process of reaching a feasible…

最优化与控制 · 数学 2020-04-22 Nassim Dehouche

Tandem duplication in DNA is the process of inserting a copy of a segment of DNA adjacent to the original position. Motivated by applications that store data in living organisms, Jain {\em et al.} (2016) proposed the study of codes that…

组合数学 · 数学 2017-11-20 Yeow Meng Chee , Johan Chrisnata , Han Mao Kiah , Tuan Thanh Nguyen

We study approximation algorithms for variants of the \emph{median string} problem, which asks for a string that minimizes the sum of edit distances from a given set of $m$ strings of length $n$. Only the straightforward $2$-approximation…

数据结构与算法 · 计算机科学 2020-11-03 Diptarka Chakraborty , Debarati Das , Robert Krauthgamer

The paper describes an algorithm to compute a consensus sequence from a set of DNA sequences of approximatively identical length generated by 3rd sequencing generation technologies. Its purpose targets DNA storage and is guided by specific…

数据结构与算法 · 计算机科学 2021-05-12 Dominique Lavenier

Seriation seeks to reconstruct a linear order between variables using unsorted, pairwise similarity information. It has direct applications in archeology and shotgun gene sequencing for example. We write seriation as an optimization problem…

最优化与控制 · 数学 2015-02-09 Fajwel Fogel , Rodolphe Jenatton , Francis Bach , Alexandre d'Aspremont

In this paper, we propose and analyze a fast two-point gradient algorithm for solving nonlinear ill-posed problems, which is based on the sequential subspace optimization method. A complete convergence analysis is provided under the…

偏微分方程分析 · 数学 2019-11-06 Guangyu Gao , Bo Han , Shanshan Tong

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

数据结构与算法 · 计算机科学 2014-10-22 Antoine Thomas

We consider the problem of sorting $n$ elements in the case of \emph{persistent} comparison errors. In this model (Braverman and Mossel, SODA'08), each comparison between two elements can be wrong with some fixed (small) probability $p$,…

数据结构与算法 · 计算机科学 2018-04-23 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna