List of works - Alexander Gorban

A random six-phase switch regulates pneumococcal virulence via global epigenetic changes

scientific article

Additive generalization of the Boltzmann entropy

scientific article published on 27 June 2003

Allowed and forbidden regimes of entropy balance in lattice Boltzmann collisions

scientific article published on 24 August 2012

CNN-Based Spectral Super-Resolution of Panchromatic Night-Time Light Imagery: City-Size-Associated Neighborhood Effects

scientific article published in 2021

Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences

Collective dynamics: when one plus one does not make two ⬇️

scientific article published on May 5, 2011

Combustion simulation via lattice Boltzmann and reduced chemical kinetics

Computational diagnosis and risk evaluation for canine lymphoma

scientific article (publication date: October 2014)

Duality in nonextensive statistical mechanics

scientific article published on 27 February 2002

Dynamical modeling of microRNA action on the protein translation process

scientific article

Dynamical robustness of biological networks with hierarchical distribution of time scales

scientific article published in July 2007

Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics.

scientific article published on 24 May 2001

Elastic Principal Graphs and Manifolds and their Practical Applications

article published in 2005

Family of additive entropy functions out of thermodynamic limit

scientific article

Fractional Norms and Quasinorms Do Not Help to Overcome the Curse of Dimensionality

scientific article published on 30 September 2020

General H-theorem and Entropies that Violate the Second Law

General stochastic separation theorems with optimal bounds

scientific article published in 2021

Handling missing data in large healthcare dataset: A case study of unknown trauma outcomes. ⬇️

scientific article

High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality

scientific article published on 09 January 2020

Hilbert's sixth problem: the endless road to rigour.

scientific article published in April 2018

Kinetic signatures of microRNA modes of action

scientific article

Law of the Minimum paradoxes

scientific article published on 19 November 2010

Legendre integrators, post-processing and quasiequilibrium

Macroscopic dynamics through coarse-graining: a solvable example

scientific article published on 18 January 2002

Mathematical modeling of microRNA-mediated mechanisms of translation repression

scientific article published on January 2013

Order–disorder separation: Geometric revision

Piece-wise quadratic approximations of arbitrary error functions for fast and robust machine learning. ⬇️

scientific article

Principal manifolds and graphs in practice: from molecular biology to dynamical systems

scientific article published in June 2010

Reduction of dynamical biochemical reactions networks in computational biology

scientific article

Robust and Scalable Learning of Complex Intrinsic Dataset Geometry via ElPiGraph

scientific article published on 04 March 2020

Robust simplifications of multiscale biochemical networks

scientific article

Scikit-Dimension: A Python Package for Intrinsic Dimension Estimation

scientific article published on 20 October 2021

Single-cell trajectories reconstruction, exploration and mapping of omics data with STREAM

scientific article published on 23 April 2019

Singularities of transient processes in dynamics and beyond: Comment on "Long transients in ecology: Theory and applications" by Andrew Morozov et al

scientific article published on 10 December 2019

Stability and stabilization of the lattice Boltzmann method.

scientific article published on 29 March 2007

Stabilization of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea.

scientific article published on 25 September 2006

Stochastic separation theorems.

scientific article published on 31 July 2017

Symphony of high-dimensional brain: Reply to comments on "The unreasonable effectiveness of small neural ensembles in high-dimensional brain"

scientific article published on 25 June 2019

List of works by Alexander Gorban

A random six-phase switch regulates pneumococcal virulence via global epigenetic changes

Additive generalization of the Boltzmann entropy

Allowed and forbidden regimes of entropy balance in lattice Boltzmann collisions

CNN-Based Spectral Super-Resolution of Panchromatic Night-Time Light Imagery: City-Size-Associated Neighborhood Effects

Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences

Collective dynamics: when one plus one does not make two ⬇️

Combustion simulation via lattice Boltzmann and reduced chemical kinetics

Computational diagnosis and risk evaluation for canine lymphoma

Duality in nonextensive statistical mechanics

Dynamical modeling of microRNA action on the protein translation process

Dynamical robustness of biological networks with hierarchical distribution of time scales

Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics.

Elastic Principal Graphs and Manifolds and their Practical Applications

Family of additive entropy functions out of thermodynamic limit

Fractional Norms and Quasinorms Do Not Help to Overcome the Curse of Dimensionality

General H-theorem and Entropies that Violate the Second Law

General stochastic separation theorems with optimal bounds

Handling missing data in large healthcare dataset: A case study of unknown trauma outcomes. ⬇️

High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality

Hilbert's sixth problem: the endless road to rigour.

Kinetic signatures of microRNA modes of action

Law of the Minimum paradoxes

Legendre integrators, post-processing and quasiequilibrium

Macroscopic dynamics through coarse-graining: a solvable example

Mathematical modeling of microRNA-mediated mechanisms of translation repression

Order–disorder separation: Geometric revision

Piece-wise quadratic approximations of arbitrary error functions for fast and robust machine learning. ⬇️

Principal manifolds and graphs in practice: from molecular biology to dynamical systems

Reduction of dynamical biochemical reactions networks in computational biology

Robust and Scalable Learning of Complex Intrinsic Dataset Geometry via ElPiGraph

Robust simplifications of multiscale biochemical networks

Scikit-Dimension: A Python Package for Intrinsic Dimension Estimation

Single-cell trajectories reconstruction, exploration and mapping of omics data with STREAM

Singularities of transient processes in dynamics and beyond: Comment on "Long transients in ecology: Theory and applications" by Andrew Morozov et al

Stability and stabilization of the lattice Boltzmann method.

Stabilization of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea.

Stochastic separation theorems.

Symphony of high-dimensional brain: Reply to comments on "The unreasonable effectiveness of small neural ensembles in high-dimensional brain"

Universal Seven-Cluster Structure of Genome Fragment Distribution: Basic Symmetry in Triplet Frequencies