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Diffusion metamaterials with artificial spatial structures have significant potential in controlling energy and mass transfer. Those static structures may lead to functionality and tunability constraints, impeding the application scope of…

Applied Physics · Physics 2024-05-30 Jinrong Liu , Liujun Xu , Jiping Huang

Can far-from-equilibrium material response under arbitrary loading be inferred from equilibrium data and vice versa? Can the effect of element transmutation on mechanical behavior be predicted? Remarkably, such extrapolations are possible…

Statistical Mechanics · Physics 2022-03-02 Shenglin Huang , Ian R. Graham , Robert A. Riggleman , Paulo Arratia , Steve Fitzgerald , Celia Reina

Learning or identifying dynamics from a sequence of high-dimensional observations is a difficult challenge in many domains, including reinforcement learning and control. The problem has recently been studied from a generative perspective…

Robotics · Computer Science 2022-07-12 Oliver Limoyo , Bryan Chan , Filip Marić , Brandon Wagstaff , Rupam Mahmood , Jonathan Kelly

A rich variety of non-equilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in…

Quantum Physics · Physics 2025-08-26 E. A. Maletskii , I. A. Iakovlev , V. V. Mazurenko

With the rapid development of more complex robots, Fault Detection and Diagnosis (FDD) becomes increasingly harder. Especially the need for predetermined models and historic data is problematic because they do not encompass the dynamic and…

Robotics · Computer Science 2025-07-03 Johannes Kohl , Georg Muck , Georg Jäger , Sebastian Zug

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

Machine Learning · Statistics 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

This paper presents a probabilistic approach to represent and quantify model-form uncertainties in the reduced-order modeling of complex systems using operator inference techniques. Such uncertainties can arise in the selection of an…

Machine Learning · Statistics 2024-11-08 Jin Yi Yong , Rudy Geelen , Johann Guilleminot

Recent work in explanation generation for decision making agents has looked at how unexplained behavior of autonomous systems can be understood in terms of differences in the model of the system and the human's understanding of the same,…

Artificial Intelligence · Computer Science 2018-02-06 Tathagata Chakraborti , Sarath Sreedharan , Sachin Grover , Subbarao Kambhampati

MicroRNAs are extensively known for post-transcriptional gene regulation and pattern formation in the embryonic developmental stage. We explore the origin of these spatio-temporal patterns mathematically, considering three different motifs…

Quantitative Methods · Quantitative Biology 2023-07-19 Priya Chakraborty , Sayantari Ghosh

Although the pattern formation on polymer gels has been considered as a result of the mechanical instability due to the volume phase transition, we found a macroscopic surface pattern formation not caused by the mechanical instability. It…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroaki Katsuragi

Integrating robots into populated environments is a complex challenge that requires an understanding of human social dynamics. In this work, we propose to model social motion forecasting in a shared human-robot representation space, which…

Robotics · Computer Science 2024-04-09 Esteve Valls Mascaro , Yashuai Yan , Dongheui Lee

A new class of pattern forming systems is identified and investigated: anisotropic systems that are spatially inhomogeneous along the direction perpendicular to the preferred one. By studying the generic amplitude equation of this new class…

Pattern Formation and Solitons · Physics 2015-10-28 B. Kaoui , A. Guckenberger , A. Krekhov , F. Ziebert , W. Zimmermann

We consider a swarm of autonomous mobile robots each of which is an anonymous point in the three-dimensional Euclidean space (3D-space) and synchronously executes a common distributed algorithm. We investigate the pattern formation problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-25 Yukiko Yamauchi , Taichi Uehara , Masafumi Yamashita

Control over the physical properties of materials is ubiquitously required in many fields. One means by which this can be achieved is controlling the internal structure of multi-component materials with an eye to enhancing mechanical…

Soft Condensed Matter · Physics 2023-05-22 Rikuya Ishikawa , Marie Tani , Rei Kurita

We introduce a random matrix framework for studying statistical-mechanical lattice systems through spectral observables. Equilibrium configurations sampled from a Boltzmann measure are mapped to matrix ensembles whose covariance structure…

Disordered Systems and Neural Networks · Physics 2026-05-21 Yaprak Önder , Abbas Ali Saberi , Roderich Moessner

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

A system very similar to a dielectric barrier discharge, but with a simple stationary DC voltage, can be realized by sandwiching a gas discharge and a high-ohmic semiconductor layer between two planar electrodes. In experiments this system…

Pattern Formation and Solitons · Physics 2011-11-10 I. R. Rafatov , D. D. Sijacic , U. Ebert

As robots across domains start collaborating with humans in shared environments, algorithms that enable them to reason over human intent are important to achieve safe interplay. In our work, we study human intent through the problem of…

Robotics · Computer Science 2022-09-14 Ingrid Navarro , Jean Oh

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

Biological Physics · Physics 2025-12-16 Erwin Frey , Henrik Weyer