Alexander N. Gorban

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University of Leicester

Chair in Applied Mathematics, University of Leicester, UK

Featured Co-authors

E. M. Mirkes
6 publications
A. Zinovyev
5 publications
I. Y. Tyukin
3 publications
A. Y. Zinovyev
2 publications
D. C. Wunsch II
2 publications
G. S. Yablonsky
1 publication
N. R. Sumner
1 publication
I. Y. Tukin
1 publication
A. A. Rossiev
1 publication
N. Rybnikova
1 publication
B. A. Portnov
1 publication

∙ 08/21/2020

Coloring panchromatic nighttime satellite images: Elastic maps vs. kernel smoothing and multivariate regression approach

Artificial light-at-night (ALAN), emitted from the ground and visible fr...

N. Rybnikova, et al. ∙

∙ 11/11/2018

Correction of AI systems by linear discriminants: Probabilistic foundations

Artificial Intelligence (AI) systems sometimes make errors and will make...

Alexander N. Gorban, et al. ∙

∙ 09/20/2018

The unreasonable effectiveness of small neural ensembles in high-dimensional brain

Despite the widely-spread consensus on the brain complexity, sprouts of ...

Alexander N. Gorban, et al. ∙

∙ 05/03/2018

How deep should be the depth of convolutional neural networks: a backyard dog case study

We present a straightforward non-iterative method for shallowing of deep...

Alexander N. Gorban, et al. ∙

∙ 01/10/2018

Blessing of dimensionality: mathematical foundations of the statistical physics of data

The concentration of measure phenomena were discovered as the mathematic...

Alexander N. Gorban, et al. ∙

∙ 05/20/2016

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

Most of machine learning approaches have stemmed from the application of...

Alexander N. Gorban, et al. ∙

∙ 03/15/2013

Grasping Complexity

The century of complexity has come. The face of science has changed. Sur...

Alexander N. Gorban, et al. ∙

∙ 02/11/2013

Geometrical complexity of data approximators

There are many methods developed to approximate a cloud of vectors embed...

E. M. Mirkes, et al. ∙

∙ 08/24/2010

Nonlinear Quality of Life Index

We present details of the analysis of the nonlinear quality of life inde...

A. Zinovyev, et al. ∙

∙ 01/07/2010

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

We present several applications of non-linear data modeling, using princ...

Alexander N. Gorban, et al. ∙

∙ 09/02/2008

Principal Graphs and Manifolds

In many physical, statistical, biological and other investigations it is...

Alexander N. Gorban, et al. ∙

∙ 03/22/2006

Topological Grammars for Data Approximation

A method of topological grammars is proposed for multidimensional data ...

Alexander N. Gorban, et al. ∙

∙ 07/03/2003

Generation of Explicit Knowledge from Empirical Data through Pruning of Trainable Neural Networks

This paper presents a generalized technology of extraction of explicit k...

Alexander N. Gorban, et al. ∙

∙ 05/29/2003

Seven clusters in genomic triplet distributions

In several recent papers new gene-detection algorithms were proposed for...

Alexander N. Gorban, et al. ∙

∙ 05/22/2003

Back-propagation of accuracy

In this paper we solve the problem: how to determine maximal allowable e...

M. Yu. Senashova, et al. ∙

∙ 05/21/2003

Neural network modeling of data with gaps: method of principal curves, Carleman's formula, and other

A method of modeling data with gaps by a sequence of curves has been dev...

Alexander N. Gorban, et al. ∙