103Explain MCMC and Metropolis-Hastings: why does the chain sample from the posterior?▼hardGoogleMicrosoftNVIDIA1 replies◆ premiumBayesian inference requires an intractable normalizing constant, and MCMC works around it. The signal is explaining the acceptance ratio, detailed balance, and why you can drop the constant entirely. Here is the answer.Open full answer →
116Explain the Kalman filter and state-space models. What are the predict and update steps actually doing?▼hardNVIDIAAppleUber1 replies◆ premiumThe Kalman filter is optimal Bayesian tracking under linear-Gaussian assumptions, and it amounts to two steps repeated forever. The signal is explaining what the gain trades off and when the assumptions break. Here is the answer.Open full answer →