
Coloring panchromatic nighttime satellite images: Elastic maps vs. kernel smoothing and multivariate regression approach
Artificial lightatnight (ALAN), emitted from the ground and visible fr...
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Correction of AI systems by linear discriminants: Probabilistic foundations
Artificial Intelligence (AI) systems sometimes make errors and will make...
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The unreasonable effectiveness of small neural ensembles in highdimensional brain
Despite the widelyspread consensus on the brain complexity, sprouts of ...
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How deep should be the depth of convolutional neural networks: a backyard dog case study
We present a straightforward noniterative method for shallowing of deep...
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Blessing of dimensionality: mathematical foundations of the statistical physics of data
The concentration of measure phenomena were discovered as the mathematic...
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Piecewise quadratic approximations of arbitrary error functions for fast and robust machine learning
Most of machine learning approaches have stemmed from the application of...
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Grasping Complexity
The century of complexity has come. The face of science has changed. Sur...
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Geometrical complexity of data approximators
There are many methods developed to approximate a cloud of vectors embed...
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Nonlinear Quality of Life Index
We present details of the analysis of the nonlinear quality of life inde...
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Principal manifolds and graphs in practice: from molecular biology to dynamical systems
We present several applications of nonlinear data modeling, using princ...
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Principal Graphs and Manifolds
In many physical, statistical, biological and other investigations it is...
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Topological Grammars for Data Approximation
A method of topological grammars is proposed for multidimensional data ...
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Generation of Explicit Knowledge from Empirical Data through Pruning of Trainable Neural Networks
This paper presents a generalized technology of extraction of explicit k...
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Seven clusters in genomic triplet distributions
In several recent papers new genedetection algorithms were proposed for...
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Backpropagation of accuracy
In this paper we solve the problem: how to determine maximal allowable e...
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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...
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Alexander N. Gorban
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Chair in Applied Mathematics, University of Leicester, UK