notesum.ai

Published at December 4

cs.CV

68T05, 68T45

I.2.10; I.5.1

Released Date: December 4, 2024

Authors: Yifan Wu¹, Xichen Ye, Songmin Dai, Dengye Pan, Xiaoqiang Li, Weizhong Zhang, Yifan Chen

Aff.: ¹Shanghai University, China

Notation	Definition
$\mathcal{D}_{\text{ID}}$	joint distribution of ID data $(\bm{x},y)$
$\mathcal{D}_{\text{OOD}}$	joint distribution of OOD data $(\bm{x}^{\prime},y^{\prime})$
$\mathcal{X}_{\text{ID}}$	support space of ID inputs
$\mathcal{X}_{\text{OOD}}$	support space of OOD inputs
$\mathcal{X}_{\text{PD}}$	support space of PD inputs
$\mathcal{Y}_{\text{ID}}$	support space of ID labels
$f_{\theta}$	the neural classifier with parameters $\theta$
$\mathcal{L}_{\text{CE}}$	cross-entropy loss function
$\mathcal{L}_{\text{energy}}$	energy-based loss function