Zobrazeno 1 - 10
of 161
pro vyhledávání: '"GUREVICH, PAVEL"'
Autor:
Gurevich, Pavel, Stuke, Hannes
We analyze a new robust method for the reconstruction of probability distributions of observed data in the presence of output outliers. It is based on a so-called gradient conjugate prior (GCP) network which outputs the parameters of a prior. By rigo
Externí odkaz:
http://arxiv.org/abs/1905.08464
Autor:
Gurevich, Pavel
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 estimate the remainders uniformly on the whole lattice. Unlike in the 1D
Externí odkaz:
http://arxiv.org/abs/1809.04850
Autor:
Gurevich, Pavel, Stuke, Hannes
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 neural networks, which is a modification of the classical Bayesian up
Externí odkaz:
http://arxiv.org/abs/1802.02643
Autor:
Gurevich, Pavel, Ron, Eyal
We study an interplay between delay and discontinuous hysteresis in dynamical systems. After having established existence and uniqueness of solutions, we focus on the analysis of stability of periodic solutions. The main object we study is a Poincar\
Externí odkaz:
http://arxiv.org/abs/1710.07444
Autor:
Gurevich, Pavel, Reichelt, Sina
This paper is devoted to pulse solutions in FitzHugh--Nagumo systems that are coupled parabolic equations with rapidly periodically oscillating coefficients. In the limit of vanishing periods, there arises a two-scale FitzHugh--Nagumo system, which q
Externí odkaz:
http://arxiv.org/abs/1707.08176
Autor:
Gurevich, Pavel, Stuke, Hannes
We suggest a general approach to quantification of different forms of aleatoric uncertainty in regression tasks performed by artificial neural networks. It is based on the simultaneous training of two neural networks with a joint loss function and a
Externí odkaz:
http://arxiv.org/abs/1707.07287
Autor:
Gurevich, Pavel, Tikhomirov, Sergey
In this short note, we obtain error estimates for Riemann sums of some singular functions.
Comment: permanent preprint
Comment: permanent preprint
Externí odkaz:
http://arxiv.org/abs/1703.03203
Autor:
Arnold, Maxim, Begun, Nikita, Gurevich, Pavel, Kwame, Eyram, Lamba, Harbir, Rachinskii, Dmitrii
We consider a piecewise linear two-dimensional dynamical system that couples a linear equation with the so-called stop operator. Global dynamics and bifurcations of this system are studied depending on two parameters. The system is motivated by modif
Externí odkaz:
http://arxiv.org/abs/1605.00584