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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “quasi-potential”

Quasi-potential and drift decomposition in stochastic systems by sparse identificationcond-mat.stat-mech

Paper uses sparse learning to estimate quasi-potential and drift components in stochastic systems.

problem Estimating quasi-potential and drift components in stochastic systems.

method Sparse identification of non-linear dynamics (SINDy) combined with action minimization methods.

result Evaluation of quasi-potential landscape from a single trajectory.

quasi-potential stochastic systems sparse identification drift decomposition action minimization

2024-09-10abs ↗pdf ↗

Quasi-potential as an implicit regularizer for the loss function in the stochastic gradient descentcs.LG

We interpret the variational inference of the Stochastic Gradient Descent (SGD) as minimizing a new potential function named the \textit{quasi-potential}. We analytically construct the quasi-potential function in the case when the loss function is convex and admits only one global minimum point. We show in this case th…

2019-01-18abs ↗pdf ↗

Computing non-equilibrium trajectories by a deep learning approachphysics.comp-ph

A new method uses deep learning to predict rare events in complex systems.

problem Predicting rare and extreme events in non-equilibrium systems.

method A deep learning approach that minimizes the geometrical action.

result The method accurately predicts rare events in various complex systems.

deep learning rare events non-equilibrium systems machine learning Freidlin-Wentzell action

2022-10-08abs ↗pdf ↗