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Related papers: Homonym Population Protocols

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Understanding the evolution of human society, as a complex adaptive system, is a task that has been looked upon from various angles. In this paper, we simulate an agent-based model with a high enough population tractably. To do this, we…

Multiagent Systems · Computer Science 2017-07-07 Amartya Sanyal , Sanjana Garg , Asim Unmesh

Population annealing is a sequential Monte Carlo scheme well-suited to simulating equilibrium states of systems with rough free energy landscapes. Here we use population annealing to study a binary mixture of hard spheres. Population…

Statistical Mechanics · Physics 2017-07-27 Jared Callaham , Jon Machta

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

Over the years, population protocols with the goal of reaching consensus have been studied in great depth. However, many systems in the real-world do not result in all agents eventually reaching consensus, but rather in the opposite: they…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-08 Nan Kang , Frederik Mallmann-Trenn , Nicolás Rivera

We consider Schelling's bounded neighbourhood model (BNM) of unorganised segregation of two populations from the perspective of modern dynamical systems theory. We derive a Schelling dynamical system and carry out a complete quantitative…

Adaptation and Self-Organizing Systems · Physics 2017-09-25 D. J. Haw , S. J. Hogan

Multi-objective optimization problems (MOPs) require the simultaneous optimization of conflicting objectives. Real-world MOPs often exhibit complex characteristics, including high-dimensional decision spaces, many objectives, or…

Neural and Evolutionary Computing · Computer Science 2025-10-20 Haokai Hong , Liang Feng , Min Jiang , Kay Chen Tan

We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals…

Populations and Evolution · Quantitative Biology 2012-02-14 Artem S. Novozhilov

Mechanisms of pattern formation---of which the Turing instability is an archetype---constitute an important class of dynamical processes occurring in biological, ecological and chemical systems. Recently, it has been shown that the Turing…

Disordered Systems and Neural Networks · Physics 2019-06-19 Sayat Mimar , Mariamo Mussa Juane , Juyong Park , Alberto P. Munuzuri , Gourab Ghoshal

The phenomenon of population interference, where a treatment assigned to one experimental unit affects another experimental unit's outcome, has received considerable attention in standard randomized experiments. The complications produced…

Methodology · Statistics 2023-06-08 Kevin Han , Iavor Bojinov , Guillaume Basse

We give efficient protocols and matching accuracy lower bounds for frequency estimation in the local model for differential privacy. In this model, individual users randomize their data themselves, sending differentially private reports to…

Cryptography and Security · Computer Science 2015-04-21 Raef Bassily , Adam Smith

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner

In this paper, we continue a line of work on obtaining succinct population protocols for Presburger-definable predicates. More specifically, we focus on threshold predicates. These are predicates of the form $n\ge d$, where $n$ is a free…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-10 Alexander Kozachinskiy

Collecting genomics data across multiple heterogeneous populations (e.g., across different cancer types) has the potential to improve our understanding of disease. Despite sequencing advances, though, resources often remain a constraint…

Methodology · Statistics 2024-03-05 Yunyi Shen , Lorenzo Masoero , Joshua G. Schraiber , Tamara Broderick

We consider sojourn or response times in processor-shared queues that have a finite population of potential users. Computing the response time of a tagged customer involves solving a finite system of linear ODEs. Writing the system in…

Probability · Mathematics 2013-09-12 Qiang Zhen , Charles Knessl

A team consisting of an unknown number of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node. Agents are anonymous (identical), execute the same deterministic…

Data Structures and Algorithms · Computer Science 2016-03-15 Yoann Dieudonné , Andrzej Pelc

We introduce the Generalized Turing Test (GTT), a formal framework for comparing the capabilities of arbitrary agents via indistinguishability. For agents A and B, we define the Turing comparator A $\geq$ B to hold if B, acting as a…

Artificial Intelligence · Computer Science 2026-05-12 Daniel Mitropolsky , Susan S. Hong , Riccardo Neumarker , Emanuele Rimoldi , Tomaso Poggio

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established protocols based on numeric computation. Notably, the protocols…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

We propose Turing Learning, a novel system identification method for inferring the behavior of natural or artificial systems. Turing Learning simultaneously optimizes two populations of computer programs, one representing models of the…

Machine Learning · Statistics 2016-10-03 Wei Li , Melvin Gauci , Roderich Gross

The Schelling model of segregation looks to explain the way in which a population of agents or particles of two types may come to organise itself into large homogeneous clusters, and can be seen as a variant of the Ising model in which the…

Discrete Mathematics · Computer Science 2015-08-13 George Barmpalias , Richard Elwes , Andy Lewis-Pye