Changes between Version 3 and Version 4 of UWSummerStatsWorkshop
- Timestamp:
- Jul 20, 2015, 6:03:55 PM (9 years ago)
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UWSummerStatsWorkshop
v3 v4 40 40 * Metropolis-Hastincs Algorithm 41 41 * Take state i, propose state j, accept the proposed move with probability min {1, some probability Hastings ratio} 42 * f(j)/f(i) x q(i|j)/q(j|i)42 * '''Hastings ratio:''' f(j)/f(i) x q(i|j)/q(j|i) 43 43 * Ratio of target densites x ratio of proposal densities 44 * Symmetric proposal transition matrices will cancel the right half of the equation. 44 45 * f(j) is more likely then it increases probablity 46 * Monday PM 47 * easyMCMC in R 48 * Sticky chains: Big SD too few accepted changes, very small SD = too many accepted changes. 49 * In complex problems, acceptance rate should be ~1% 50 * Higher dimension problems should ~= lower acceptance rate (should propose more dramatic moves, since explored space is more complex) 51 * Multi-modal target (need mcmc sd wide enough to traverse all modes) 45 52 46 53 ==== quotes ====