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Latent force models are a class of hybrid models for dynamic systems, combining simple mechanistic models with flexible Gaussian process (GP) perturbations. An extension of this framework to include multiplicative interactions between the…

Machine Learning · Statistics 2019-01-01 Daniel J. Tait , Bruce J. Worton

In contrast to most scientific disciplines, sports science research has been characterized by comparatively little effort investment in the development of relevant phenomenological models. Scarcer yet is the application of said models in…

Computer Vision and Pattern Recognition · Computer Science 2013-06-21 Ognjen Arandjelovic

Recent years have witnessed an explosion of extensive geolocated datasets related to human movement, enabling scientists to quantitatively study individual and collective mobility patterns, and to generate models that can capture and…

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

This article reports on emergence of structures in a class of alternative theories of gravity. These theories do not have any horizon, flatness, initial cosmological singularity and (possibly) quantization problems. The model is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daksh Lohiya , Annu Batra , Sameer Mehra , Shobhit Mahajan , Amitabha Mukherjee

We studied numerically the dynamics of colliding rigid bodies in a Newtonian fluid. The finite element method is used to solve the fluid-body interaction and the fluid motion is described in the Arbitrary-Lagrangian-Eulerian framework. To…

Conventionally, a microscopic particle that performs a reciprocal stroke cannot move through its environment. This is because at small scales, the response of simple Newtonian fluids is purely viscous and flows are time-reversible. We show…

Fluid Dynamics · Physics 2012-08-21 Nathan C. Keim , Mike Garcia , Paulo E. Arratia

An equation describing the irreversible evolution of the local density of a continuous medium without involving any statistical hypotheses and assumptions is derived. The derivation is based on the smoothing of the microscopic dynamic…

Statistical Mechanics · Physics 2018-10-02 Victor V. Zubkov

Although autonomous control of robotic manipulators has been studied for several decades, they are not commonly used in safety-critical applications due to lack of safety and performance guarantees - many of them concerning the modulation…

Robotics · Computer Science 2020-04-22 Lasitha Wijayarathne , Frank L. Hammond

This review explores particle resuspension from surfaces due to fluid flows. The objective of this review is to provide a general framework and terminology for particle resuspension while highlighting the future developments needed to…

Fluid Dynamics · Physics 2018-02-20 Christophe Henry

Recent advances in modeling and control of crowds of pedestrians are briefly surveyed in this paper. Possibilities of applying fractional calculus in the modeling of crowd of pedestrians have been shortly reviewed and discussed from…

Physics and Society · Physics 2015-06-18 Ke-cai Cao , YangQuan Chen , Dan Stuart , Dong Yue

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

Studies of social and group behavior in interacting organisms require high-throughput analysis of the motion of a large number of individual subjects. Computer vision techniques offer solutions to specific tracking problems, and allow…

Quantitative Methods · Quantitative Biology 2015-06-12 Yi Deng , Philip Coen , Mingzhai Sun , Joshua W. Shaevitz

Based on suitable video recordings of interactive pedestrian motion and improved tracking software, we apply an evolutionary optimization algorithm to determine optimal parameter specifications for the social force model. The calibrated…

Physics and Society · Physics 2008-10-28 Anders Johansson , Dirk Helbing , Pradyumn Shukla

To better design safe and comfortable urban spaces, understanding the nature of human crowd movement is important. However, precise interactions among pedestrians are difficult to measure in the presence of their complex decision-making…

This paper provides a new perspective to understand existing controversy on the social force model. These issues include that the social force disobeys Newton 3rd Law, oscillation phenomenon when one agent is approaching another as well as…

Physics and Society · Physics 2021-10-09 Peng Wang , Xiaoda Wang

Modeling the world can benefit robot learning by providing a rich training signal for shaping an agent's latent state space. However, learning world models in unconstrained environments over high-dimensional observation spaces such as…

Machine Learning · Computer Science 2021-12-03 Nitish Srivastava , Walter Talbott , Martin Bertran Lopez , Shuangfei Zhai , Josh Susskind

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

The purpose of this review is to analyze the physics at play in particle resuspension in order to bring insights into the rich complexity of this common but challenging concern. Following the more-is-different vision, this is performed by…

Fluid Dynamics · Physics 2023-04-05 Christophe Henry , Jean-Pierre Minier , Sara Brambilla

Context plays a significant role in the generation of motion for dynamic agents in interactive environments. This work proposes a modular method that utilises a learned model of the environment for motion prediction. This modularity…

Machine Learning · Computer Science 2021-01-05 Todor Davchev , Michael Burke , Subramanian Ramamoorthy