157 citations · 2.9k across the 96 of their papers we have counts for
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Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev
We present the Constructive Methods of Invariant Manifolds for model reduction in physical and chemical kinetics, developed during last two decades. The problem of reduced descript…
Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
A. N. Gorban, I. V. Karlin
Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are…
Legendre Integrators, Post-Processing and Quasiequilibrium
A. N. Gorban, P. A. Gorban, I. V. Karlin
A toolbox for the development and reduction of the dynamical models of nonequilibrium systems is presented. The main components of this toolbox are: Legendre integrators, dynamical…
Generation of Explicit Knowledge from Empirical Data through Pruning of Trainable Neural Networks
A. N. Gorban, Eu. M. Mirkes, V. G. Tsaregorodtsev
This paper presents a generalized technology of extraction of explicit knowledge from data. The main ideas are 1) maximal reduction of network complexity (not only removal of neuro…