Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2010 Apr 5;107(17):7663–7668. doi: 10.1073/pnas.0910994107

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

PMC Copyright notice

Fig. 4. — The BP estimate of the log-likelihood and the Monte Carlo Markov Chain estimate plotted vs. the diffusivity κ with κ^∗ = 0.1, 1, 10 for N = 100 particles diffusing in 3D. Although the BP log-likelihood is significantly lower than the MCMC one, the estimate of the diffusivity is extremely good. The vertical lines mark the diffusivity computed based on the knowledge of the actual displacements. The BP algorithm compares favorably in estimation of the maximum with the basically exact Markov Chain Monte Carlo algorithm, while being far superior in speed (for details on speed comparison see SI Appendix).

Inline graphic — The BP estimate of the log-likelihood and the Monte Carlo Markov Chain estimate plotted vs. the diffusivity κ with κ^∗ = 0.1, 1, 10 for N = 100 particles diffusing in 3D. Although the BP log-likelihood is significantly lower than the MCMC one, the estimate of the diffusivity is extremely good. The vertical lines mark the diffusivity computed based on the knowledge of the actual displacements. The BP algorithm compares favorably in estimation of the maximum with the basically exact Markov Chain Monte Carlo algorithm, while being far superior in speed (for details on speed comparison see SI Appendix).