Orbits of geometric descent

2013/12/03 by Aris Daniilidis, Daniilidis, Aris, Dmitriy Drusvyatskiy +3
Mathematics · #34A60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC) #Primary 34A12 #Secondary 49J99 #math.CA #math.OC #msc:34A12 #msc:34A60 #msc:49J99

paper · pdf · doi:10.48550/arxiv.1312.0695

9 pages

arxiv created 2013/12/05 · arxiv updated 2013/12/06

Abstract

We prove that quasiconvex functions always admit descent trajectories bypassing all non-minimizing critical points.

Related

• Steepest geometric descent for regularized quasiconvex functions
• Characterizations of Strongly Quasiconvex Functions
• Curves of Descent
• Quasiconvex Programming
• Characterizations, Dynamical Systems and Gradient Methods for Strongly Quasiconvex Functions