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We model an artificial root which grows in the soil for underground prospecting. Its evolution is described by a controlled system of two integro-partial differential equations: one for the growth of the body and the other for the…

Analysis of PDEs · Mathematics 2020-05-14 Fabio Ancona , Alberto Bressan , Maria Teresa Chiri

We consider the problem of active coarse ranking, where the goal is to sort items according to their means into clusters of pre-specified sizes, by adaptively sampling from their reward distributions. This setting is useful in many social…

Machine Learning · Computer Science 2018-02-21 Sumeet Katariya , Lalit Jain , Nandana Sengupta , James Evans , Robert Nowak

Ant Colony Optimization (ACO) is renowned for its effectiveness in solving Traveling Salesman Problems, yet it faces computational challenges in CPU-based environments, particularly with large-scale instances. In response, we introduce a…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Luming Yang , Tao Jiang , Ran Cheng

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

Artificial Intelligence · Computer Science 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground, while pedestrians also try to follow others in a crowd for…

Statistical Mechanics · Physics 2009-11-13 Katsuhiro Nishinari , Ken Sugawara , Toshiya Kazama , Andreas Schadschneider , Debashish Chowdhury

We study sorting algorithms based on randomized round-robin comparisons. Specifically, we study Spin-the-bottle sort, where comparisons are unrestricted, and Annealing sort, where comparisons are restricted to a distance bounded by a…

Data Structures and Algorithms · Computer Science 2015-03-17 Michael T. Goodrich

We present an extremely simple sorting algorithm. It may look like it is obviously wrong, but we prove that it is in fact correct. We compare it with other simple sorting algorithms, and analyse some of its curious properties.

Data Structures and Algorithms · Computer Science 2021-10-05 Stanley P. Y. Fung

Core periphery structure represents a meso-scale structure in networks, characterized by a dense interconnection of core nodes and sparse connections among peripheral nodes. In this paper, we introduce an innovative approach for detecting…

Physics and Society · Physics 2024-11-20 Imran Ansari , Qazi J Azhad , Niteesh Sahni

In our study we implemented and compared seven sequential and parallel sorting algorithms: bitonic sort, multistep bitonic sort, adaptive bitonic sort, merge sort, quicksort, radix sort and sample sort. Sequential algorithms were…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-13 Darko Bozidar , Tomaz Dobravec

The division of labor (DOL) and task allocation among groups of ants living in a colony is thought to be highly efficient, and key to the robust survival of a colony. A great deal of experimental and theoretical work has been done toward…

Populations and Evolution · Quantitative Biology 2016-04-15 Jason M. Graham , Ivan L. Simpson-Kent , Marc A. Seid

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 problem of relevance ranking consists of sorting a set of objects with respect to a given criterion. Since users may prefer different relevance criteria, the ranking algorithms should be adaptable to the user needs. Two main approaches…

Machine Learning · Computer Science 2023-11-06 Leonardo Rigutini , Tiziano Papini , Marco Maggini , Franco Scarselli

Incorporating the concept of order parameter of the mean-field theory into the simulated annealing method, we presented a new optimization algorithm, the guided simulated annealing method. In this method mean-field order parameters are…

Statistical Mechanics · Physics 2009-11-10 C. I. Chou , R. S. Han , S. P. Li , T. K. Lee

Ant Colony Optimization (ACO) is a well-known method inspired by the foraging behavior of ants and is extensively used to solve combinatorial optimization problems. In this paper, we first consider a general framework based on the concept…

Data Structures and Algorithms · Computer Science 2025-01-22 Bodo Manthey , Jesse van Rhijn , Ashkan Safari , Tjark Vredeveld

Swarm intelligence is widely recognized as a powerful paradigm of self-organized optimization, with numerous examples of successful applications in distributed artificial intelligence. However, the role of physical interactions in the…

Physics and Society · Physics 2008-10-28 Karsten Peters , Anders Johansson , Audrey Dussutour , Dirk Helbing

Integer sorting is a fundamental problem in computer science. This paper studies parallel integer sort both in theory and in practice. In theory, we show tighter bounds for a class of existing practical integer sort algorithms, which…

Data Structures and Algorithms · Computer Science 2026-05-18 Xiaojun Dong , Laxman Dhulipala , Yan Gu , Yihan Sun

An artificial Ant Colony System (ACS) algorithm to solve general-purpose combinatorial Optimization Problems (COP) that extends previous AC models [21] by the inclusion of a negative pheromone, is here described. Several Travelling Salesman…

Neural and Evolutionary Computing · Computer Science 2013-06-14 Vitorino Ramos , David M. S. Rodrigues , Jorge Louçã

Navigation through narrow passages during colony relocation by the tandem-running ants, $\textit{Diacamma}$ $\textit{indicum}$, is a tour de force of biological traffic coordination. Even on one-lane paths, the ants tactfully manage a…

Adaptation and Self-Organizing Systems · Physics 2025-09-23 Joy Das Bairagya , Udipta Chakraborti , Sumana Annagiri , Sagar Chakraborty

We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

Disordered Systems and Neural Networks · Physics 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross

Alternating minimization represents a widely applicable and empirically successful approach for finding low-rank matrices that best fit the given data. For example, for the problem of low-rank matrix completion, this method is believed to…

Machine Learning · Statistics 2012-12-04 Prateek Jain , Praneeth Netrapalli , Sujay Sanghavi