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Set inversion

In mathematics, set inversion is the problem of characterizing the preimage X of a set Y by a function f, i.e., X = f−1(Y ) = {x ∈ Rn | f(x) ∈ Y }. It can also be viewed as the problem of describing the solution set of the quantified constraint "Y(f (x))", where Y(y) is a constraint, e.g. an inequality, describing the set Y.

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Application

Path planningSet estimationLinear dynamical systems
3 related topics

Overview

MathematicsPreimageSetFunctionInequality
13 related topics

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Set inversion

Nodes21
Edges20
Triples2
Avg. degree1.9
Density0.095238
Components1

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Set inversion

Top relations

is a · 1
Set inversion → problem of characterizing the preimage X of a set Y by a function f
related to Application · 1
Set inversion → Set

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Important terminology

set function box problem tests inversion interval conclude rn describing rp algorithm made non-overlapping boxes inclusion nonlinear mathematics preimage inequality

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Set inversionis aproblem of characterizing the preimage X of a set Y by a function f0.90text
Set inversionrelated to ApplicationSet0.60section

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