We give conditions under which a Markov chain constructed via parallel or simulated tempering is guaranteed to be rapidly mixing, which are applicable to a wide range of multimodal distributions arising in Bayesian statistical inference and statistical mechanics. We provide lower bounds on the spectral gaps of parallel and simulated tempering. These bounds imply a single set of sufficient condi...

Herein, the fatigue damage mechanisms of a low-alloyed 0.5 wt% carbon steel (50CrMo4) are examined in high cycle and very regime, taking into account different strength conditions. For this purpose, heat treatment material is conducted using two batches at tempering temperatures, which lead to hardnesses 37HRC 57HRC, respectively. The tests accounting for test frequencies f = 95 Hz 20 kHz, as w...

Alternative crystal structures are possible for all lipids and each different crystal structure is called a polymorphic form. Inter-conversion between polymorphisms would imply the possibility of leaning crystal formation toward the most effective polymorphism for adipocyte destruction. Food industry has been tempering lipids for decades. Tempering technology applied to lipocryolysis gave birth...

We propose a new stochastic global optimization method by accelerating the simulated tempering scheme with random walks executed on a temperature ladder with various transition step sizes. By suitably choosing the length of the transition steps, the accelerated scheme enables the search process to execute large jumps and escape entrapment in local minima, while retaining the capability to explo...

The conventional 4340 steel was used after quenching and tempering, strengthened by the classical pearlitic structure where cementite particles are dispersed through ferrite matrix. In present study, a heterostructure microstructure consisting of micro-sized residual zones introduced an optimized process intercritical resulting in with higher strength better toughness. pearlite has tensile 1233...

We discuss multidimensional generalizations of multicanonical algorithm, simulated tempering, and replica-exchange method. We generalize the original potential-energy function E0 by adding any physical quantity V of interest as a new energy term with a coupling constant lambda. We then perform a multidimensional multicanonical simulation where a random walk in E0 and V spaces is realized. We ca...

We give conditions under which a Markov chain constructed via parallel or simulated tempering is guaranteed to be rapidly mixing, which are applicable to a wide range of multimodal distributions arising in Bayesian statistical inference and statistical mechanics. We provide lower bounds on the spectral gaps of parallel and simulated tempering. These bounds imply a single set of sufficient condi...

I present a new Markov chain sampling method appropriate for distributions with isolated modes. Like the recently-developed method of \simulated tempering", the \tempered transition" method uses a series of distributions that interpolate between the distribution of interest and a distribution for which sampling is easier. The new method has the advantage that it does not require approximate val...

Variational inference (VI) combined with data subsampling enables approximate posterior inference with large data sets for otherwise intractable models, but suffers from poor local optima. We first formulate a deterministic annealing approach for the generic class of conditionally conjugate exponential family models. This algorithm uses a temperature parameter that deterministically deforms the...