svm-c-parameter-margin-error-tradeoff

IN premise — entries/2026/06/21/wiki-Support_vector_machine-chunk-2.md

Created 2026-06-21T09:55:54+00:00

The regularization parameter C controls the trade-off between maximizing the margin and minimizing classification errors: large C approximates hard-margin behavior (narrow margin, fewer errors); small C allows more violations (wider margin, more errors).

Dependents

These beliefs depend on this one:

• IN svm-soft-margin-three-equivalent-views — The soft-margin SVM admits three equivalent mathematical formulations — slack variables with margin constraints, empirical risk minimization with hinge loss and Tikhonov regularization, and the C-parameter tradeoff between margin width and classification errors — all describing the same optimization from different theoretical perspectives.