79 citations · 97 across the 12 of their papers we have counts for
13 papers
Predator-Prey Model: Driven Hunt for Accelerated Grokking
I. A. Lopatin, S. V. Kozyrev, A. N. Pechen
A machine learning method is proposed using two agents (representing two coupled replicas of the model parameters) that simulate the biological behavior of a predator and a prey. I…
Control of Overfitting with Physics
Sergei V. Kozyrev, Ilya A Lopatin, Alexander N Pechen
While there are many works on the applications of machine learning, not so many of them are trying to understand the theoretical justifications to explain their efficiency. In this…
Lotka-Volterra Model with Mutations and Generative Adversarial Networks
S. V. Kozyrev
A model of population genetics of the Lotka-Volterra type with mutations on a statistical manifold is introduced. Mutations in the model are described by diffusion on a statistical…
Amplification of quantum transfer and quantum ratchet
Sergei Kozyrev, Alexander Pechen
Amplification of quantum transfer and ratchet--type processes are important for quantum technologies. We also expect that quantum ratchet works in quantum photosynthesis, where pos…
Quantum feedback control in quantum photosynthesis
S. V. Kozyrev, A. N. Pechen
A model of charge separation in quantum photosynthesis as a model of quantum feedback control in a system of interacting excitons and vibrons is introduced. Quantum feedback in thi…
Biology is a constructive physics
S. V. Kozyrev
Yuri Manin's approach to Zipf's law (Kolmogorov complexity as energy) is applied to investigation of biological evolution. Model of constructive statistical mechanics where complex…
Dark states in quantum photosynthesis
S. V. Kozyrev, I. V. Volovich
We discuss a model of quantum photosynthesis with degeneracy in the light-harvesting system. We consider interaction of excitons in chromophores with light and phonons (vibrations…
Model of protein fragments and statistical potentials
S. V. Kozyrev
We discuss a model of protein conformations where the conformations are combinations of short fragments from some small set. For these fragments we consider a distribution of frequ…
Quinary lattice model of secondary structures of polymers
S. V. Kozyrev, I. V. Volovich
In the standard approach to lattice proteins the models based on nearest neighbor interaction are used. In this kind of models it is difficult to explain the existence of secondary…
Classification by Ensembles of Neural Networks
S. V. Kozyrev
We introduce a new procedure for training of artificial neural networks by using the approximation of an objective function by arithmetic mean of an ensemble of selected randomly g…
Replica procedure for probabilistic algorithms as a model of gene duplication
S. V. Kozyrev, A. Yu. Khrennikov
In the present paper we propose to describe gene networks in biological systems using probabilistic algorithms. We describe gene duplication in the process of biological evolution…
Multidimensional ultrametric pseudodifferential equations
S. Albeverio, S. V. Kozyrev
We develop an analysis of wavelets and pseudodifferential operators on multidimensional ultrametric spaces which are defined as products of locally compact ultrametric spaces. We i…
p-Adic pseudodifferential operators and p-adic wavelets
S. V. Kozyrev
We introduce a new wide class of p-adic pseudodifferential operators. We show that the basis of p-adic wavelets is the basis of eigenvectors for the introduced operators.