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3986089
Tensor-train based approach for building Markov State Models and Generalized Master Equation Models to study biomolecular dynamics | Poster Board #2144
Date
March 19, 2024
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In the recent years, the data-driven analysis of dynamical systems based on Koopman operator have achieved great advances. In addition to neural network based approaches, tensor-train like the multi-linear version of the AMUSE algorithm (AMUSEt) can provide an alternative approach to do analysis of large scale systems with high-dimensional features. Previously, AMUSEt has been applied on large scale systems like NTL9 by manually choosing the features like pairwise distances. However, when applied to other biomolecules, the performance of AMUSEt will heavily rely on the choice of input features. Hence in this work, we first introduce TICA to improve AMUSEt. TICA can provide a good set of input features for AMUSEt. The performance of TICA-AMUSEt is even better than TICA for NTL9 and FIP35 WW domain. This may be related to the overlapping between TICs based Gaussian basis. The performance of TICA is usually limited by the linear combination of features that has no overlapping between TICs; however, the Gaussian basis in AMUSEt can introduce overlapping between input features that allows a second chance to find slow dynamics. In FIP35 WW domain, we show that the performance of AMUSEt is equivalent to VAMPnets. In addition, we also combined the generalized master equation (GME) with the TICA-AMUSEt, showing that GME is able to further improve the TICA-AMUSEt method by accurately computing the timescales of long-time dynamics.
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