Russell & Norvig: Connecting models of probabilistic reasoning to Stochastic Differential Equations

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Artificial Intelligence: A Modern Approach, 4th Global ed. by Stuart Russell and Peter Norvig contains the following footnote on page 480 of chapter 14:

Uncertainty over continuous time can be modeled by stochastic differential equations (SDEs). The models studied in this chapter can be viewed as discrete-time approximations to SDEs.

The chapter is on probabilistic reasoning over time and covers Hidden Markov Models, Kalman Filters and Dynamic Bayesian Networks.

In light of the footnote; could someone please explain the connections these models have to SDEs and/or possibly provide some relevant references?