Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M0991

Global Optima

Global Optima
TechnicalHigh supportMathematics
Included
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

The maximum value of a function over its entire domain. It is distinguished from "Local Optima", which is only the highest point in a small region but may be far below the global maximum.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Step out of the comfort zone. Hill-climbing algorithms easily get stuck at local peaks (local optima). To find Mount Everest (global optimum), you must first accept the pain of "going downhill" (not only no gain but loss), cross the valley, and then climb higher peaks.

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Anchor fast decisions

Global optimum = overall extremum over the domain; local optimum = extremum in a neighborhood. Gradient-based search tends to get stuck at local peaks; it requires "going downhill" (accepting temporary deterioration) to cross valleys and reach the global peak.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Global_optimizationZH · Explicit
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