2019
DOI: 10.1038/s41467-019-13307-x
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Learning dynamical information from static protein and sequencing data

Abstract: Many complex processes, from protein folding to neuronal network dynamics, can be described as stochastic exploration of a high-dimensional energy landscape. Although efficient algorithms for cluster detection in high-dimensional spaces have been developed over the last two decades, considerably less is known about the reliable inference of state transition dynamics in such settings. Here we introduce a flexible and robust numerical framework to infer Markovian transition networks directly from time-independen… Show more

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Cited by 18 publications
(14 citation statements)
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“…For example, it has already been used to solve the difficult task of elucidating the intricate three-dimensional spatio-temporal patterns associated with turbulent flows 55 . Furthermore, machine learning can provide invaluable help to infer dynamic information and underlying models from static information 56,57 .…”
Section: Box 1 | Overview Of Machine-learning Methodsmentioning
confidence: 99%
“…For example, it has already been used to solve the difficult task of elucidating the intricate three-dimensional spatio-temporal patterns associated with turbulent flows 55 . Furthermore, machine learning can provide invaluable help to infer dynamic information and underlying models from static information 56,57 .…”
Section: Box 1 | Overview Of Machine-learning Methodsmentioning
confidence: 99%
“…For Fokker-Planck equation of the over-damped Langevin equation, the expansion of steady-state solution near stable points (attractors) indeed yields a Gaussian-mixture distribution 61 . Motivated by this, to obtain the global dynamical manifold we fit a Gaussian mixture model with a mixture weight μ* to obtain the stationary distribution of coarse-grained dynamics.…”
Section: Integrating the Rwtpm At Three Levelsmentioning
confidence: 99%
“…The only solution seems then to combine analytical results with simulations, in the same philosophy than [5], but this leads to much more complex and time-consuming algorithms that the one which is developed in this article. To our point of view, this also argues against methods where a mixture model is used for reconstructing the temporal dynamics of a metastable process from stationary distributions [36].…”
Section: Limits Of the Methods For Finding The Developmental Landscapementioning
confidence: 99%