Concept - Argmax

Definition (s.8): argmax stands for the argument of the maximum, i.e. the set of points of $x$ at which the given function attains its maximum value (slide text is cut off at the right edge; UNCLEAR (slide 8) for the exact cut-off words).

$\arg {\max }_{x}f(x)=\{x\mid \forall y:f(y)\le f(x)\}$

Example: $\arg {\max }_x(-|x|)=\{0\}$ (s.8).

Argmin is the analogue for the minimum. Argmax appears in every estimator of this deck: Concept - Maximum Likelihood Estimation, Concept - Maximum A Posteriori, Concept - Naive Bayes.

Source: 03 Text Classification - Chunk 01 (s.1-30)

Related

Concept - Maximum Likelihood Estimation, Concept - Maximum A Posteriori, Concept - Naive Bayes. Up: 03 Text Classification - Index