  We propose an adiabatic reweighting algorithm for computing the free energy
along an external parameter from adaptive molecular dynamics simulations. The
adaptive bias is estimated using Bayes identity and information from all the
sampled configurations. We apply the algorithm to a structural transition in a
cluster and to the migration of a crystalline defect along a reaction
coordinate. Compared to standard adaptive molecular dynamics, we observe an
acceleration of convergence. With the aid of the algorithm, it is also possible
to iteratively construct the free energy along the reaction coordinate without
having to differentiate the gradient of the reaction coordinate or any biasing
potential.
