# Approximate Learning of Dynamic Models/Systems

Reference work entry

**DOI:**https://doi.org/10.1007/978-1-4419-1428-6_82

## Synonyms

## Definition

Dynamical systems model the evolution of a system with unknown parameters. The goal of a learning procedure is to estimate the parameters of the system, possibly from a set of known examples, such that the system behavior on future inputs is accurately predicted. Such a learning procedure typically uses methodologies from techniques in statistics and computer science and can be computationally intractable for some systems.

## Theoretical Background

A dynamical system models the state-space evolution of a system. In the discussion below, we refer to free parameter that models the change in dynamics by “time.” Many versions of such systems are possible, depending on whether the state variables are continuous or discrete (quantitative), the time variables are continuous (e.g., partial differential equation, delay equations) or discrete (e.g., difference equations, quantized descriptions of continuous...

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