We continue using material from the short course Simulation-Based Inference for Epidemiological Dynamics (SBIED). We review likelihood-based inference, and introduce the particle filter (also known as sequential Monte Carlo) which enables likelihood evaluation for general POMP models. We use the pfilter() implementation of particle filtering in pomp to investigate the likelihood surface for a Susceptible-Infected-Recovered (SIR) model.

Sections I and II review material in Chapter 10, from a slightly different perspective, and you may want to watch this at 1.5 x speed if you are already comfortable with the material. Section III introduces the particle filter algorithm. Section IV reviews the likelihood-based inference topics of Chapter 5, in the context of POMP models. Sections V and VI look at the geometry of the likelihood for an SIR model. Section VII looks deeper at likelihood inference - there is overlap with Chapter 5 but also some important new ideas.

Chapter 13, Sections I,II The likelihood function and the likelihood of a POMP model Lecture video (23 mins)
Chapter 13, Section III Computing the likelihood Lecture video (27 mins)
Chapter 13, Section IV Review of likelihood-based inference Lecture video (12 mins)
Chapter 13, Sections V,VI Geometry of the likelihood function Lecture video (31 mins)
Chapter 13, Section VII From likelihood evaluation toward inference Lecture video (17 mins)
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