title: Learning and generation of long-range correlated sequences
abstract: We study the capability to learn and to generate long-range, power-law correlated sequences by a fully connected asymmetric network. The focus is set on the ability of neural networks to extract statistical features from a sequence. We demonstrate that the average power-law behavior is learnable, namely, the sequence generated by the trained network obeys the same statistical behavior. The interplay between a correlated weight matrix and the sequence generated by such a network is explored. A weight matrix with a power-law correlation function along the vertical direction, gives rise to a sequence with a similar statistical behavior.
authors.affiliation: Minerva Center and Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel.
authors.initials: A
authors.lastname: Priel
authors.initials: I
authors.lastname: Kanter