no code implementations • 28 Oct 2021 • Vitaly Vanchurin, Yuri I. Wolf, Eugene V. Koonin, Mikhail I. Katsnelson
We further define the biological counterparts of temperature (biological temperature) as the measure of stochasticity of the evolutionary process and of chemical potential (evolutionary potential) as the amount of evolutionary work required to add a new trainable variable (such as an additional gene) to the evolving system.
no code implementations • 27 Oct 2021 • Vitaly Vanchurin, Yuri I. Wolf, Mikhail I. Katsnelson, Eugene V. Koonin
We apply the theory of learning to physically renormalizable systems in an attempt to develop a theory of biological evolution, including the origin of life, as multilevel learning.
no code implementations • 7 Jul 2021 • Mikhail I. Katsnelson, Vitaly Vanchurin, Tom Westerhout
We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state.
no code implementations • 8 Mar 2021 • Simon Streib, Attila Szilva, Vladislav Borisov, Manuel Pereiro, Anders Bergman, Erik Sjöqvist, Anna Delin, Mikhail I. Katsnelson, Olle Eriksson, Danny Thonig
We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on the adiabatic approximation for spin degrees of freedom in itinerant-electron systems.
Materials Science Strongly Correlated Electrons
no code implementations • 8 Feb 2021 • Habib Rostami, Mikhail I. Katsnelson, Giovanni Vignale, Marco Polini
We present a formal analysis of nonlinear response functions in terms of correlation functions in real- and imaginary-time domains.
Mesoscale and Nanoscale Physics
no code implementations • 9 Dec 2020 • Mikhail I. Katsnelson, Vitaly Vanchurin
It was recently shown that the Madelung equations, that is, a hydrodynamic form of the Schr\"odinger equation, can be derived from a canonical ensemble of neural networks where the quantum phase was identified with the free energy of hidden variables.
no code implementations • 3 Jul 2020 • Manuel Steinbrecher, Werner M. J. van Weerdenburg, Etienne F. Walraven, Niels P. E. van Mullekom, Jan W. Gerritsen, Fabian D. Natterer, Danis I. Badrtdinov, Alexander N. Rudenko, Vladimir V. Mazurenko, Mikhail I. Katsnelson, Ad van der Avoird, Gerrit C. Groenenboom, Alexander A. Khajetoorians
The pathway toward the tailored synthesis of materials starts with precise characterization of the conformational properties and dynamics of individual molecules.
Mesoscale and Nanoscale Physics
no code implementations • 1 Sep 2017 • Mikhail I. Katsnelson, Yuri I. Wolf, Eugene V. Koonin
Deep analogies have been suggested to also exist between the properties of biological entities and processes, and those of frustrated states in physics, such as glasses.
