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A modification of the Adaptive Biasing Force method is introduced, in whichthe free energy is approximated by a sum of tensor products of one-dimensionalfunctions. This enables to handle a larger number of reaction coordinates thanthe classical algorithm. We prove the algorithm is well-defined and prove thelong-time convergence toward a regularized version of the free energy for anidealized version of the algorithm. Numerical experiments demonstrate that themethod is able to capture correlations between reaction coordinates.

Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias