Reactivity Ratio Estimation in Non-Linear Polymerization Models using Markov Chain Monte Carlo Techniques and an Error-In-Variables Framework

2015 ◽  
Vol 24 (6) ◽  
pp. 566-579 ◽  
Author(s):  
Manoj Mathew ◽  
Thomas Duever
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Reactivity Ratio ◽  
Ratio Estimation ◽  
Monte Carlo Techniques ◽  
Error In Variables ◽  
Non Linear

scholarly journals Typical representatives of free homotopy classes in multi-punctured plane

2019 ◽  
Vol 11 (03) ◽  
pp. 623-659
Author(s):  
Maxim Arnold ◽  
Yuliy Baryshnikov ◽  
Yuriy Mileyko
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Probability Measure ◽  
Homotopy Class ◽  
Piecewise Linear ◽  
Homotopy Classes ◽  
Simple Method ◽  
Monte Carlo Techniques ◽  
Free Homotopy Class

We show that a uniform probability measure supported on a specific set of piecewise linear loops in a nontrivial free homotopy class in a multi-punctured plane is overwhelmingly concentrated around loops of minimal lengths. Our approach is based on extending Mogulskii’s theorem to closed paths, which is a useful result of independent interest. In addition, we show that the above measure can be sampled using standard Markov Chain Monte Carlo techniques, thus providing a simple method for approximating shortest loops.

Variational Markov chain Monte Carlo for Bayesian smoothing of non-linear diffusions

2011 ◽  
Vol 27 (1) ◽  
pp. 149-176 ◽  
Author(s):  
Yuan Shen ◽  
Dan Cornford ◽  
Manfred Opper ◽  
Cedric Archambeau
Keyword(s):  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Non Linear ◽  
Linear Diffusions ◽  
Bayesian Smoothing
Sign in / Sign up

Export Citation Format

Share Document