Object detection can be regarded as a pixel clustering task, and its boundary is determined by four extreme points (leftmost, top, rightmost, bottom). However, most studies focus on the center or corner of object, which are conditional results points. In this paper, we present an Extreme-Point-Prediction-Based object detector (EPP-Net), directly regresses relative displacement vector between ea...

Every separable nonreflexive Banach space admits an equivalent norm such that the set of the weak-extreme points of the unit ball is discrete.

Abstract We discuss the geometry of unit ball—specifically, structure its extreme points (if any)—in subspaces $$L^1$$ L 1 and $$L^\infty $$ ∞ on circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernel...