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Inexact subspace iteration

This repository contains code to run the inexact iterative numerical algebra schemes for spectral estimation and forecasting from https://arxiv.org/abs/2303.12534.

Requirements

  • python=3.8|3.9
  • jax
  • optax for optimizers
  • numpy
  • scipy
  • numba to for numerical acceleration

See the Jax repository for more detailed installation instructions on GPUs.

Instructions

The Jupyter notebook VPM_Muller_Brown.ipynb contains template code to simulate the Müller-Brown potential (as described in the paper) and solve the eigenproblem with subspace iteration and forecast problems (MFPT and committor). The neural-network training will be most efficient with a GPU.

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