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200 papers

We introduce a formalism of fractional diffusion on networks based on a fractional Laplacian matrix that can be constructed directly from the eigenvalues and eigenvectors of the Laplacian matrix. This fractional approach allows random walks…

Statistical Mechanics · Physics 2015-06-23 A. P. Riascos , José L. Mateos

Why do we sometimes perceive static images as if they were moving? Visual motion illusions enjoy a sustained popularity, yet there is no definitive answer to the question of why they work. Here we present evidence in favor of the hypothesis…

Neural and Evolutionary Computing · Computer Science 2026-03-06 Lana Sinapayen , Eiji Watanabe

These notes from a graduate class at the Unuversidad Autonoma de Madrid analyze a search behavior known as Area Resticted Search (ARS), widespread in the animal kingdom, and optimal when the resources that one is after are "patchy". In the…

Statistical Mechanics · Physics 2020-06-26 Simone Santini

Human behaviors exhibit ubiquitous correlations in many aspects, such as individual and collective levels, temporal and spatial dimensions, content, social and geographical layers. With rich Internet data of online behaviors becoming…

Physics and Society · Physics 2016-09-12 Chao Fan , Yiding Liu , Junming Huang , Zhihai Rong , Tao Zhou

Collective behavior, and swarm formation in particular, has been studied from several perspectives within a large variety of fields, ranging from biology to physics. In this work, we apply Projective Simulation to model each individual as…

Populations and Evolution · Quantitative Biology 2021-01-27 Andrea López-Incera , Katja Ried , Thomas Müller , Hans J. Briegel

Large language models (LLMs) are increasingly used in medicine and clinical workflows, yet we know little about their decision and affective profiles. Taking a historically informed outlook on the future, we treated successive OpenAI models…

Computers and Society · Computer Science 2026-01-22 Zhihao Wang , Yiyang Liu , Ting Wang , Zhiyuan Liu

Human migration is a type of human mobility, where a trip involves a person moving with the intention of changing their home location. Predicting human migration as accurately as possible is important in city planning applications,…

Social and Information Networks · Computer Science 2017-11-16 Caleb Robinson , Bistra Dilkina

This paper takes an empirical approach to identify operational factors at busy airports that may predate go-around maneuvers. Using four years of data from San Francisco International Airport, we begin our investigation with a statistical…

Systems and Control · Computer Science 2011-02-09 Maxime Gariel , Kevin Spieser , Emilio Frazzoli

Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

The dynamics of human mobility characterizes the trajectories humans follow during their daily activities and is the foundation of processes from epidemic spreading to traffic prediction and information recommendation. In this paper, we…

Physics and Society · Physics 2015-06-16 Zhi-Dan Zhao , Shi-Min Cai , Yang Lu

The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting species, stabilise them, and diversify gene pools [1-3].…

Statistical Mechanics · Physics 2009-11-11 D. Brockmann , L. Hufnagel , T. Geisel

A Levy walk is a non-Markovian stochastic process in which the elementary steps of the walker consist of motion with constant speed in randomly chosen directions and for a random period of time. The time of flight is chosen from a…

Statistical Mechanics · Physics 2013-08-27 Abhishek Dhar , Keiji Saito

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

For both Levy flight and Levy walk search processes we analyse the full distribution of first-passage and first-hitting (or first-arrival) times. These are, respectively, the times when the particle moves across a point at some given…

Statistical Mechanics · Physics 2019-10-15 V. V. Palyulin , G. Blackburn , M. A. Lomholt , N. W. Watkins , R. Metzler , R. Klages , A. V. Chechkin

We review recent results obtained from simple individual-based models of biological competition in which birth and death rates of an organism depend on the presence of other competing organisms close to it. In addition the individuals…

Populations and Evolution · Quantitative Biology 2015-03-03 Emilio Hernandez-Garcia , Els Heinsalu , Cristobal Lopez

Human knowledge is largely implicit and relational -- do we have a friend in common? can I walk from here to there? In this work, we leverage the combinatorial structure of graphs to quantify human priors over such relational data. Our…

Machine Learning · Computer Science 2024-03-01 Gecia Bravo-Hermsdorff

Bird migration is an adaptive behavior ultimately aiming at optimizing survival and reproductive success. We propose an optimal switching model to study bird migration, where birds' migration behaviors can be efficiently modeled as…

Optimization and Control · Mathematics 2025-01-14 Jiawei Chu , King-Yeung Lam , Boyu Wang , Tong Wang

When searching for a target within an image our brain can adopt different strategies, but which one does it choose? This question can be answered by tracking the motion of the eye while it executes the task. Following many individuals…

Neurons and Cognition · Quantitative Biology 2017-09-04 Tatiana A. Amor , Mirko Lukovic , Hans J. Herrmann , Jose S. Andrade

The human gaze is an important cue to signal intention, attention, distraction, and the regions of interest in the immediate surroundings. Gaze tracking can transform how robots perceive, understand, and react to people, enabling new modes…

Robotics · Computer Science 2024-06-11 Tim Schreiter , Andrey Rudenko , Martin Magnusson , Achim J. Lilienthal

Understanding adaptive human driving behavior, in particular how drivers manage uncertainty, is of key importance for developing simulated human driver models that can be used in the evaluation and development of autonomous vehicles.…

Robotics · Computer Science 2023-11-14 Johan Engström , Ran Wei , Anthony McDonald , Alfredo Garcia , Matt O'Kelly , Leif Johnson