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A Bregman Extension of quasi-Newton updates II: Convergence and Robustness Properties
A Bregman Extension quasi-Newton updates II Convergence Robustness Properties
2010/10/19
We propose an extension of quasi-Newton methods, and investigate the convergence and the robustness properties of the proposed update formulae for the approximate Hessian matrix. Fletcher has studied ...
Weak Convergence of Reflected Brownian Motions
Brownian Motions Convergence mild technical assumptions
2009/5/8
We show that if a sequence of domains $D_k$ increases to a domain $D$ then the reflected Brownian motions in $D_k$'s converge to the reflected Brownian motion in $D$, under mild technical assumptions....
Quantitative Convergence Rates of Markov Chains: A Simple Account
Markov chain convergence rate mixing time drift condition minorisation condition total variation distance
2009/4/29
We state and prove a simple quantitative bound on the total variation distance after k iterations between two Markov chains with different initial distributions but identical transition probabilities....
We show, by a simple counterexample, that the main result in a recent paper by H. Van Zanten [Electronic Communications in Probability 7 (2002), 215-222] is false. We eventually point out the origin o...