local maxima

Neighborhood high points

Local maxima are points where a value is higher than all nearby values but not necessarily the highest overall.

In mathematics, a function has a local maximum where it peaks before descending again—a hilltop rather than the mountain's summit.

The term extends to any field where you might find the best option in a limited range while missing a better one elsewhere: The algorithm got stuck at a local maximum.

Singular: local maximum.

optimization

hill-climbing

Going up elevated terrain

stochastic · saddle point · restart · perturbation · trapped

calculus

critical point

Decisive juncture in events

second derivative · concavity · function · curve · slope · tangent · rate of change · increasing · decreasing · neighborhood

graphing

peak

Utmost height attained

plot · coordinate · polynomial · quadratic · function · axis · tangent line · neighborhood · interval · graph

metaphorical

plateau

Flat highland area

stuck · suboptimal · false summit · shortsighted · incremental · limitation · barrier · settling · compromise

Opposites
scope of optimality

local maximaglobal maximum

Largest value in entire domain

direction of extremity

local maximalocal minimum

Lowest nearby, not overall

troughs · valleys · dips

extremity vs. neutrality

local maximainflection points

Where curvature changes sign

plateaus

Family

local, maxima, locale, locally, locality, localize, localized, localization, locate

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