StatQuest

Explains every step of statistics and machine learning derivations until you can compute it yourself.

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Latest2026-09-04

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27:06

StatQuest 0713

The Optimal Solution Never Lives Inside: The Simplex Algorithm Only Climbs Boundary Vertices

The optimal solution to a linear program always lies on a boundary vertex, so the simplex algorithm never searches the interior: starting from the origin, it picks a direction by the most negative column, sets the step size by the minimum ratio, and keeps swapping to adjacent vertices with higher payoff.

8 Points 6 Quotes linear programmingsimplex method