Social Physics Informed Diffusion Model for Crowd Simulation

Fuente: arXiv
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Autori principali: Chen, Hongyi, Ding, Jingtao, Li, Yong, Wang, Yue, Zhang, Xiao-Ping
Natura: Preprint
Pubblicazione: 2024
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author Chen, Hongyi
Ding, Jingtao
Li, Yong
Wang, Yue
Zhang, Xiao-Ping
author_facet Chen, Hongyi
Ding, Jingtao
Li, Yong
Wang, Yue
Zhang, Xiao-Ping
contents Crowd simulation holds crucial applications in various domains, such as urban planning, architectural design, and traffic arrangement. In recent years, physics-informed machine learning methods have achieved state-of-the-art performance in crowd simulation but fail to model the heterogeneity and multi-modality of human movement comprehensively. In this paper, we propose a social physics-informed diffusion model named SPDiff to mitigate the above gap. SPDiff takes both the interactive and historical information of crowds in the current timeframe to reverse the diffusion process, thereby generating the distribution of pedestrian movement in the subsequent timeframe. Inspired by the well-known social physics model, i.e., Social Force, regarding crowd dynamics, we design a crowd interaction module to guide the denoising process and further enhance this module with the equivariant properties of crowd interactions. To mitigate error accumulation in long-term simulations, we propose a multi-frame rollout training algorithm for diffusion modeling. Experiments conducted on two real-world datasets demonstrate the superior performance of SPDiff in terms of macroscopic and microscopic evaluation metrics. Code and appendix are available at https://github.com/tsinghua-fib-lab/SPDiff.
format Preprint
id arxiv_https___arxiv_org_abs_2402_06680
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Social Physics Informed Diffusion Model for Crowd Simulation
Chen, Hongyi
Ding, Jingtao
Li, Yong
Wang, Yue
Zhang, Xiao-Ping
Physics and Society
Artificial Intelligence
Machine Learning
Crowd simulation holds crucial applications in various domains, such as urban planning, architectural design, and traffic arrangement. In recent years, physics-informed machine learning methods have achieved state-of-the-art performance in crowd simulation but fail to model the heterogeneity and multi-modality of human movement comprehensively. In this paper, we propose a social physics-informed diffusion model named SPDiff to mitigate the above gap. SPDiff takes both the interactive and historical information of crowds in the current timeframe to reverse the diffusion process, thereby generating the distribution of pedestrian movement in the subsequent timeframe. Inspired by the well-known social physics model, i.e., Social Force, regarding crowd dynamics, we design a crowd interaction module to guide the denoising process and further enhance this module with the equivariant properties of crowd interactions. To mitigate error accumulation in long-term simulations, we propose a multi-frame rollout training algorithm for diffusion modeling. Experiments conducted on two real-world datasets demonstrate the superior performance of SPDiff in terms of macroscopic and microscopic evaluation metrics. Code and appendix are available at https://github.com/tsinghua-fib-lab/SPDiff.
title Social Physics Informed Diffusion Model for Crowd Simulation
topic Physics and Society
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2402.06680