State Space Models: A Modern Approach

State Space Models: A Modern Approach

Scratchpad
Introduction
Inference in discrete SSMs
Inference in linear-Gaussian SSMs
Extended (linearized) methods
Unscented methods
- Unscented filtering
- Unscented smoothing
Quadrature and cubature methods
Posterior linearization
Assumed Density Filtering
Variational inference
Particle filtering
Sequential Monte Carlo
Offline parameter estimation (learning)
Multi-target tracking
Data assimilation using Ensemble Kalman filter
Changepoint detection
Timeseries forecasting
Markovian Gaussian processes
Differential equations and SSMs
Optimal control
Bibliography

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Inference in discrete SSMs

Inference in discrete SSMs¶

This chapter covers inference in HMMs.

HMM filtering (forwards algorithm)
HMM smoothing (forwards-backwards algorithm)
Viterbi algorithm
Parallel HMM smoothing
Forwards-filtering backwards-sampling algorithm

See (sec:casino-ex).

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HMM filtering (forwards algorithm)

By Kevin Murphy, Scott Linderman, et al.
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