Abstract
A generalized Persidskii-like theorem is derived and shown to be applicable to the stability analysis of a class of gradient dynamical systems with discontinuous right hand sides. These dynamical systems arise from the steepest descent technique applied to a variety of problems suitably formulated as constrained minimization problems. The problems susceptible to this approach include linear programming problems and specifically the k-winners-take-all problem, the problem of solving underdetermined linear systems arising in least squares support vector machines, and quadratic programming problems associated to the support vector machine approach to classification. The advantage of the proposed analysis is the derivation of simple convergence conditions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
