In this paper we propose a new framework for learning from large scale datasets based on iterative learning from small mini-batches. By adding the right amount of noise to a standard stochastic gradient optimization algorithm we show that the iterates will converge to samples from the true posterior distribution as we anneal the stepsize. This seamless transition between optimization and Bayesi...

An improved method for driving a system into a desired distribution, for example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an artificial relaxation process. The standard techniques for achieving the Gibbs-Boltzmann distribution involve numerical simulations under the detailed balance condition. In contrast, in the present study we formulate the Langevin dynamics, for wh...

Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discrete particles moving in a continuum. Although our method is based on a mapping of the particles' dynamics to a regular grid so that discrete Fourier transforms may be taken, it should be emphasized that the introductio...

Serum Albumin is the most aboundant protein in blood plasma. Its two major roles aremaintaining osmotic pressure and depositing and transporting compounds. In this paper,Albumin-methanol solution simulation is carried out by three techniques including MonteCarlo (MC), Molecular Dynamic (MD) and Langevin Dynamic (LD) simulations. Byinvestigating energy changes by time and temperature (between 27...