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- Function_approximation abstract "The need for function approximations arises in many branches of applied mathematics, and computer science in particular. In general, a function approximation problem asks us to select a function among a well-defined class that closely matches (\"approximates\") a target function in a task-specific way.One can distinguish two major classes of function approximation problems: First, for known target functions approximation theory is the branch of numerical analysis that investigates how certain known functions (for example, special functions) can be approximated by a specific class of functions (for example, polynomials or rational functions) that often have desirable properties (inexpensive computation, continuity, integral and limit values, etc.).Second, the target function, call it g, may be unknown; instead of an explicit formula, only a set of points of the form (x, g(x)) is provided. Depending on the structure of the domain and codomain of g, several techniques for approximating g may be applicable. For example, if g is an operation on the real numbers, techniques of interpolation, extrapolation, regression analysis, and curve fitting can be used. If the codomain (range or target set) of g is a finite set, one is dealing with a classification problem instead. A related problem, online time series approximation, is to summarize the data in one-pass and construct an approximate representation that can support a variety of timeseries queries with bounds on worst-case error.To some extent the different problems (regression, classification, fitness approximation) have received a unified treatment in statistical learning theory, where they are viewed as supervised learning problems.".
- Function_approximation wikiPageID "336897".
- Function_approximation wikiPageLength "2511".
- Function_approximation wikiPageOutDegree "27".
- Function_approximation wikiPageRevisionID "679216148".
- Function_approximation wikiPageWikiLink Applied_mathematics.
- Function_approximation wikiPageWikiLink Approximation_theory.
- Function_approximation wikiPageWikiLink Category:Statistical_approximations.
- Function_approximation wikiPageWikiLink Category:Statistical_models.
- Function_approximation wikiPageWikiLink Codomain.
- Function_approximation wikiPageWikiLink Computer_science.
- Function_approximation wikiPageWikiLink Curve_fitting.
- Function_approximation wikiPageWikiLink Domain_of_a_function.
- Function_approximation wikiPageWikiLink Extrapolation.
- Function_approximation wikiPageWikiLink Fitness_approximation.
- Function_approximation wikiPageWikiLink Function_(mathematics).
- Function_approximation wikiPageWikiLink Interpolation.
- Function_approximation wikiPageWikiLink Least-squares_function_approximation.
- Function_approximation wikiPageWikiLink Numerical_analysis.
- Function_approximation wikiPageWikiLink Polynomial.
- Function_approximation wikiPageWikiLink Radial_basis_function_network.
- Function_approximation wikiPageWikiLink Rational_function.
- Function_approximation wikiPageWikiLink Real_number.
- Function_approximation wikiPageWikiLink Regression_analysis.
- Function_approximation wikiPageWikiLink Special_functions.
- Function_approximation wikiPageWikiLink Statistical_classification.
- Function_approximation wikiPageWikiLink Statistical_learning_theory.
- Function_approximation wikiPageWikiLink Supervised_learning.
- Function_approximation wikiPageWikiLink Time_series.
- Function_approximation wikiPageWikiLinkText "Function approximation".
- Function_approximation wikiPageWikiLinkText "approximate given functions".
- Function_approximation wikiPageWikiLinkText "approximated".
- Function_approximation wikiPageWikiLinkText "approximating a given function".
- Function_approximation wikiPageWikiLinkText "approximation".
- Function_approximation wikiPageWikiLinkText "function approximation".
- Function_approximation wikiPageWikiLinkText "function approximators".
- Function_approximation wikiPageWikiLinkText "target function".
- Function_approximation wikiPageUsesTemplate Template:Distinguish.
- Function_approximation wikiPageUsesTemplate Template:Mathanalysis-stub.
- Function_approximation wikiPageUsesTemplate Template:Reflist.
- Function_approximation wikiPageUsesTemplate Template:Statistics-stub.
- Function_approximation subject Category:Statistical_approximations.
- Function_approximation subject Category:Statistical_models.
- Function_approximation type Model.
- Function_approximation type Model.
- Function_approximation type Thing.
- Function_approximation comment "The need for function approximations arises in many branches of applied mathematics, and computer science in particular.".
- Function_approximation label "Function approximation".
- Function_approximation differentFrom Curve_fitting.
- Function_approximation sameAs Q3445816.
- Function_approximation sameAs Апроксимация_на_функции.
- Function_approximation sameAs Aproksimacija_funkcija.
- Function_approximation sameAs m.01xlxg.
- Function_approximation sameAs Апроксимација_функција.
- Function_approximation sameAs Q3445816.
- Function_approximation wasDerivedFrom Function_approximation?oldid=679216148.
- Function_approximation isPrimaryTopicOf Function_approximation.