local minimum

Nearby lowest value

A local minimum is a point where a value is lower than at all nearby points, though not necessarily the lowest overall.

In mathematics, a function has a local minimum where the curve dips before rising again: The algorithm got stuck at a local minimum instead of finding the global minimum.

The concept extends to optimization problems, economics, and any system seeking the best outcome—a local minimum represents a solution that looks optimal in its immediate neighborhood but may not be the best possible.

calculus

critical point

Decisive juncture in events

inflection point · tangent · slope · extrema · turning point · neighborhood · continuity · function · limit · differential

metaphor

stuck

Unable to move

settling · complacency · short-sighted · narrow view · rut · dead end · tunnel vision · good enough · satisficing · incremental

graph

vertex

Point where edges converge

  • nodeConnection point in networks
  • edgeBoundary or sharpness
  • networkInterconnected system

shortest path · directed · undirected · adjacency · path · cycle · topology · connectivity · degree · traversal

optimization

convergence

Process of approaching sameness

bound · algorithm · nonlinear · stochastic · deterministic · heuristic · hill climbing · saddle point · plateau · learning rate

Categories
Opposites
minimum vs. maximum

local minimumlocal maximum

Highest nearby, not overall

local vs. global scope

local minimumabsolute minimum

Lowest possible threshold

extremum vs. non-extremum

local minimuminflection point

Where curvature changes sign

saddle point

Family

local, locale, minimum, locality, locally, local maximum, localized, localize, localization

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