Last Updated
：2025/12/03
concave envelope
Noun
of a function on a set
Japanese Meaning
数学・最適化理論において、与えられた集合S上で定義された実数値関数fに対し、S上でfを超過評価（または等しく評価）する中で、最も低い値を示す凹関数。
（ plural ）
Quizzes for review
(mathematics, optimisation theory, of a function on a set) For a given set S⊆ℝⁿ and real-valued function f defined on the convex hull conv(S), the lowest-valued concave function that overestimates or equals f over S.
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concave envelope
In many optimization problems, computing the concave envelope of a nonconcave function defined on a set S⊆ℝⁿ can provide tight upper bounds on the objective.
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In many optimization problems, computing the concave envelope of a nonconcave function defined on a set S⊆ℝⁿ can provide tight upper bounds on the objective.
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