1 citations · 1 across the 5 of their papers we have counts for
5 papers
On the iterations of some random functions with Lipschitz number one
Yingdong Lu, Tomasz Nowicki
For the iterations of random functions with Lipschitz number one, we represent the dynamics as a Markov chain and prove its convergence under mild conditions. We a…
On Representations of Mean-Field Variational Inference
Soumyadip Ghosh, Yingdong Lu, Tomasz Nowicki +1
The mean field variational inference (MFVI) formulation restricts the general Bayesian inference problem to the subspace of product measures. We present a framework to analyze MFVI…
Local and Global Existence of A Nonlocal Equation with A Singular Integral Drift Term
Yingdong Lu
We study an initial value problem with fractional Laplacian and a singular drift term, and obtain local and global existence theorems similar to the results in Jourdain et al.(2005…
Approximating the Markov Chain of the Curie-Weiss Model
Yingdong Lu
In this paper, we quantify some known approximation to the Curie-Weiss model via applying the Stein method to the Markov chain whose stationary distribution coincides with Curie-We…
HMC, an Algorithms in Data Mining, the Functional Analysis approach
Soumyadip Ghosh, Yingdong Lu, Tomasz Nowicki
The main purpose of this paper is to facilitate the communication between the Analytic, Probabilistic and Algorithmic communities. We present a proof of convergence of the Hamilton…