68 citations · 199 across the 14 of their papers we have counts for
14 papers
An integral equation for the identification of causal effects in nonlinear models
Wing Hung Wong
When the causal relationship between X and Y is specified by a structural equation, the causal effect of X on Y is the expected rate of change of Y with respect to changes in X, wh…
A calculus for causal inference with instrumental variables
Wing Hung Wong
Under a general structural equation framework for causal inference, we provide a definition of the causal effect of a variable X on another variable Y, and propose an approach to e…
Mini-batch Metropolis-Hastings MCMC with Reversible SGLD Proposal
Tung-Yu Wu, Y. X. Rachel Wang, Wing H. Wong
Traditional MCMC algorithms are computationally intensive and do not scale well to large data. In particular, the Metropolis-Hastings (MH) algorithm requires passing over the entir…
Convergence of Contrastive Divergence with Annealed Learning Rate in Exponential Family
Bai Jiang, Tung-yu Wu, Wing H. Wong
In our recent paper, we showed that in exponential family, contrastive divergence (CD) with fixed learning rate will give asymptotically consistent estimates \cite{wu2016convergenc…
Learning Summary Statistic for Approximate Bayesian Computation via Deep Neural Network
Bai Jiang, Tung-yu Wu, Charles Zheng +1
Approximate Bayesian Computation (ABC) methods are used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Both the accuracy…
Multivariate Density Estimation via Adaptive Partitioning (II): Posterior Concentration
Linxi Liu, Wing Hung Wong
In this paper, we study a class of non-parametric density estimators under Bayesian settings. The estimators are piecewise constant functions on binary partitions. We analyze the c…