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Fixed-Distance Hamiltonian Monte Carlo

Neural Information Processing Systems

Markov chain Monte Carlo (MCMC) is an inference mechanism that approximates a target probability distribution by a sequence of states (a.k.a.


ModelSelectionforBayesianAutoencoders: SupplementaryMaterial

Neural Information Processing Systems

In this section, we review some key results on the Wasserstein distance. Wpp Rฯ€(t,ฮธi),Rฯ(t,ฮธi), (4) where the approximation comes from using Monte-Carlo integration by samplingฮธi uniformly in SD 1 [2]. M,M is the number of points used to approximate the integral. Calculating the Wasserstein distance with the empirical distribution function is computationally attractive. To do that, we first sortxms in an ascending order, such thatxi[m] xi[m+1], where i[m]istheindexofthesortedxms. Hamiltonian Monte Carlo (HMC)[24]isahighly-efficient MarkovChain Monte Carlo (MCMC) method used to generate samples from the posteriorw p(w|y).