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The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

数值分析 · 数学 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

In this article the dynamics of pedestrian streams in four different scenarios are compared empirically to investigate the influence of boundary conditions on it. The Voronoi method, which allows high resolution and small fluctuations of…

物理与社会 · 物理学 2015-08-28 Jun Zhang , Armin Seyfried

The aim of this paper is to study the reward based policy exploration problem in a supervised learning approach and enable robots to form complex movement trajectories in challenging reward settings and search spaces. For this, the…

机器人学 · 计算机科学 2020-11-10 M. Tuluhan Akbulut , Utku Bozdogan , Ahmet Tekden , Emre Ugur

We propose an empirical approach centered on the spectral dynamics of weights -- the behavior of singular values and vectors during optimization -- to unify and clarify several phenomena in deep learning. We identify a consistent bias in…

The Voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into regions, each region consisting of the points that are closer to a given object than to the others. We may define…

计算几何 · 计算机科学 2020-10-01 Frank Nielsen , Jean-Daniel Boissonnat , Richard Nock

This paper considers a class of deploy and search strategies for multi-robot systems and evaluates their performance. The application framework used is a system of autonomous mobile robots equipped with required sensors and communication…

最优化与控制 · 数学 2009-08-12 K. R. Guruprasad , Debasish Ghose

Multi-robot systems have increasingly become instrumental in tackling search and coverage problems. However, the challenge of optimizing task efficiency without compromising task success still persists, particularly in expansive,…

机器人学 · 计算机科学 2024-07-18 Xinyi Wang , Jiwen Xu , Chuanxiang Gao , Yizhou Chen , Jihan Zhang , Chenggang Wang , Ben M. Chen

A Voronoi diagram is a basic geometric structure that partitions the space into regions associated with a given set of sites, such that all points in a region are closer to the corresponding site than to all other sites. While being…

计算几何 · 计算机科学 2023-01-27 Tobias Friedrich , Maximilian Katzmann , Leon Schiller

This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing/communication radius. Based on the…

最优化与控制 · 数学 2007-05-23 Jorge Cortes , Sonia Martinez , Francesco Bullo

The brain-body-environment framework studies adaptive behavior through embodied and situated agents, emphasizing interactions between brains, biomechanics, and environmental dynamics. However, many models often treat the brain as a network…

神经元与认知 · 定量生物学 2025-10-01 Denizhan Pak , Quan Le Thien , Christopher J. Agostino

Navigating topological transitions in cellular mechanical systems is a significant challenge for existing simulation methods. While abstract models lack predictive capabilities at the cellular level, explicit network representations…

图形学 · 计算机科学 2024-04-30 Logan Numerow , Yue Li , Stelian Coros , Bernhard Thomaszewski

A central task in the analysis of human movement behavior is to determine systematic patterns and differences across experimental conditions, participants and repetitions. This is possible because human movement is highly regular, being…

应用统计 · 统计学 2023-01-23 Lars Lau Raket , Britta Grimme , Gregor Schöner , Christian Igel , Bo Markussen

This article addresses how diverse collective behaviors arise from simple and realistic decisions made entirely at the level of each agent's personal space in the sense of the Voronoi diagram. We present a discrete time model in 2D in which…

物理与社会 · 物理学 2024-02-15 Ivan Gonzalez , Jack Tisdell , Rustum Choksi , Jean-Christophe Nave

A longstanding open question in the field of dense disordered matter is how precisely structure and dynamics are related to each other. With the advent of machine learning, it has become possible to agnostically predict the dynamic…

Multivariate spatial modeling is key to understanding the behavior of materials downstream in a mining operation. The ore recovery depends on the mineralogical composition, which needs to be properly captured by the model to allow for good…

应用统计 · 统计学 2023-10-03 Alvaro I. Riquelme , Julian M. Ortiz

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

计算工程、金融与科学 · 计算机科学 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

Many point process models have been proposed for describing and forecasting earthquake occurrences in seismically active zones such as California, but the problem of how best to compare and evaluate the goodness of fit of such models…

应用统计 · 统计学 2015-01-27 Andrew Bray , Ka Wong , Christopher D. Barr , Frederic Paik Schoenberg

We describe a new algorithm for computing the Voronoi diagram of a set of $n$ points in constant-dimensional Euclidean space. The running time of our algorithm is $O(f \log n \log \Delta)$ where $f$ is the output complexity of the Voronoi…

计算几何 · 计算机科学 2013-04-03 Gary L. Miller , Donald R. Sheehy

We consider the spatial classification problem for monitoring using data collected by a coordinated team of mobile robots. Such classification problems arise in several applications including search-and-rescue and precision agriculture.…

机器人学 · 计算机科学 2026-05-25 Xiaoshan Lin , Siddharth Nayak , Stefano Di Cairano , Abraham P. Vinod

Mental simulation is a critical cognitive function for goal-directed behavior because it is essential for assessing actions and their consequences. When a self-generated or externally specified goal is given, a sequence of actions that is…

机器人学 · 计算机科学 2019-03-13 Minju Jung , Takazumi Matsumoto , Jun Tani