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Explore advanced mathematical techniques for discovering interaction laws in particle-based systems through this 51-minute conference talk delivered at IPAM's Bridging Scales from Atomistic to Continuum in Electrochemical Systems Workshop. Delve into cutting-edge research presented by Mauro Maggioni from Johns Hopkins University, focusing on computational methods and mathematical frameworks used to identify and characterize how particles interact within complex systems. Examine the theoretical foundations and practical applications of learning algorithms that can extract interaction patterns from particle dynamics data. Discover how these methodologies bridge the gap between atomistic-level behaviors and continuum-scale phenomena, particularly in the context of electrochemical systems. Gain insights into the mathematical tools and computational approaches that enable researchers to reverse-engineer interaction laws from observed particle behavior, contributing to our understanding of multi-scale modeling in physical and chemical systems.
