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math.DS2023
Arbitrarily accurate, nonparametric coarse graining with Markov renewal processes and the Mori-Zwanzig formulation
David Aristoff, Mats Johnson, Danny Perez
Stochastic dynamics, such as molecular dynamics, are important in many scientific applications. However, summarizing and analyzing the results of such simulations is often challeng…
math.DS2022
Regression-based projection for learning Mori-Zwanzig operators
Yen Ting Lin, Yifeng Tian, Danny Perez +1
We propose to adopt statistical regression as the projection operator to enable data-driven learning of the operators in the Mori--Zwanzig formalism. We present a principled method…