notesum.ai

Published at November 29

cs.NE

cs.AI

stat.ML

Released Date: November 29, 2024

Authors: Michal Lewandowski¹, Hamid Eghbalzadeh², Bernhard A. Moser³

Aff.: ¹Software Competence Center Hagenberg (SCCH); ²Meta AI; ³Software Competence Center Hagenberg (SCCH), Johannes Kepler University of Linz (JKU)

recursion	formula of decision manifold $R_{k}$
$1$	$\{x,y:\min(h_{1},h_{2},h_{3})=0\}$
$2$	$\{x,y:\min(\underbrace{h_{1},h_{2},h_{7},}\underbrace{\max(h_{3},h_{4},h_{5})}% )=0\}$
$\ldots$	$\ldots$
$k$	$\{x,y:\min(\underbrace{h_{1},h_{2},h_{r(k)},}_{\text{external half-spaces}}% \underbrace{D_{1},\ldots,D_{\lfloor r(k)/4\rfloor+1}}_{\text{``dents''~{}% \eqref{eq:dent}}})=0\}$