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math.DS2018
Asymptotics of the heat kernels on 2D lattices
Pavel Gurevich
We obtain asymptotic expansions of the spatially discrete 2D heat kernels, or Green's functions on lattices, with respect to powers of time variable up to an arbitrary order and es…
math.ST2018
Gradient conjugate priors and multi-layer neural networks
Pavel Gurevich, Hannes Stuke
The paper deals with learning probability distributions of observed data by artificial neural networks. We suggest a so-called gradient conjugate prior (GCP) update appropriate for…