title: Fractional extreme value adaptive training method: fractional steepest descent approach.
abstract: The application of fractional calculus to signal processing and adaptive learning is an emerging area of research. A novel fractional adaptive learning approach that utilizes fractional calculus is presented in this paper. In particular, a fractional steepest descent approach is proposed. A fractional quadratic energy norm is studied, and the stability and convergence of our proposed method are analyzed in detail. The fractional steepest descent approach is implemented numerically and its stability is analyzed experimentally.
authors.forename: Yi-Fei
authors.initials: YF
authors.lastname: Pu
authors.forename: Ji-Liu
authors.initials: JL
authors.lastname: Zhou
authors.forename: Yi
authors.initials: Y
authors.lastname: Zhang
authors.forename: Ni
authors.initials: N
authors.lastname: Zhang
authors.forename: Guo
authors.initials: G
authors.lastname: Huang
authors.forename: Patrick
authors.initials: P
authors.lastname: Siarry