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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...
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11/11/2018
Correction of AI systems by linear discriminants: Probabilistic foundations
Artificial Intelligence (AI) systems sometimes make errors and will make...
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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 ...
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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...
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01/10/2018
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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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...
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03/15/2013
Grasping Complexity
The century of complexity has come. The face of science has changed. Sur...
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02/11/2013
Geometrical complexity of data approximators
There are many methods developed to approximate a cloud of vectors embed...
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08/24/2010
Nonlinear Quality of Life Index
We present details of the analysis of the nonlinear quality of life inde...
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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...
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09/02/2008
Principal Graphs and Manifolds
In many physical, statistical, biological and other investigations it is...
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03/22/2006
Topological Grammars for Data Approximation
A method of topological grammars is proposed for multidimensional data ...
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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...
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05/29/2003
Seven clusters in genomic triplet distributions
In several recent papers new gene-detection algorithms were proposed for...
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05/22/2003
Back-propagation of accuracy
In this paper we solve the problem: how to determine maximal allowable e...
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05/21/2003