Goutham R Yalla, Ajay E Kuriyan
Cell therapy for retinal disease
Current opinion in ophthalmology
let f class measurable functions f 0 1 defined probability space p given sample x 1 x n iidrandom variables taking values common distribution p let p n denote empirical measure based x 1 x n study empirical risk minimization problem p n f min f f given solution fn problem goal obtain general upper bounds excess riskexpressed terms relevant geometric parameters class f using concentration inequalities empirical processes tools obtain distributiondependent datadependent upper bounds excess risk asymptotically correct order many examplesthe bounds involve localized supnorms empirical rademacher processes indexed functions classwe use bounds develop model selection techniques abstract risk minimization problems applied specialized frameworks regression classification