3. Regulation and tools
3.1 Bias-dispersion trade-off
3.1.1 Parameterization of a function and effect of the number of unknowns sought
We now turn to the special case of estimating a function x (t from m measurements collected in a vector y. This problem is always ill-posed, since a function represents a vector with an infinite number of coefficients. In practice, we first project this function onto a number n of functions f k constituting a basis of the space X in which we search for the solution...
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Regulation and tools
Model reduction by identification. Linear case
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