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Randomized Machine Learning: Statement, Solution, Applications
P. 27–39.
In this paper we propose a new machine learning concept called randomized machine learning, in which model parameters are assumed random and data are assumed to contain random errors. Distinction of this approach from "classical" machine learning is that optimal estimation deals with the probability density functions of random parameters and the "worst" probability density of random data errors. As the optimality criterion of estimation, randomized machine learning employs the generalized information entropy maximized on a set described by the system of empirical balances. We apply this approach to text classification and dynamic regression problems. The results illustrate capabilities of the approach.
Гаврилов А. В., Krayushkin D. V., Никитина Н. Ю. et al., Вопросы кибербезопасности 2026 № 4 С. 140–145
The purpose of the study: the development of an approach for covert embedding of patient personal data and data integrity verification markers into medical images, ensuring no distortion of critical diagnostic information. Method: an adaptive method based on Least Significant Bit (LSB) substitution is proposed. To enhance stealth and robustness, embedding is performed selectively – ...
Added: August 31, 2026
David J. L., Grinin L. E., Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 2 P. 29–90.
This chapter explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, biological, social, cognitive, and civilizational domains. Building on foundational work in systemstheory,thermodynamics,andevolutionarytheory,thechapterarguesthat complexity can serve as a conceptual bridge across disciplines. By examining how complexity emerges, is sustained, and transforms across thresholds, as well as ...
Added: August 10, 2026
Polyakov S., Smeshkova L., Lapin V. et al., Veredas do Direito 2026 Vol. 23 No. 11 Article 237531
The article examines the significant transformation of the concept of information and its impact on modern security technologies. Until the middle of the 20th century, the concept of information was considered as a philosophical category related to the transfer of knowledge and meaning. With the advent of Claude Shannon's communication theory, information was reinterpreted as ...
Added: July 27, 2026
Соболев В. Н., Фролов А. А., Чебышевский сборник 2025 Т. 26 № 5 С. 203–220
In the article, on the class K 0 of infinite binary sequences without the runs of ones, a
consistent probability distribution P is constructed which is induced by a time-homogeneous
Markov chain with a one-step transition matrix P𝜑 , and is completely determined by the
golden ratio 𝜑. Using a Markov chain to construct a probability measure P ...
Added: February 11, 2026
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
E. S. Palamarchuk, Differential Equations 2024 Vol. 60 No. 12 P. 1675 – 1695
We study the sensitivity of solutions of Riccati equations to asymptotically small perturbations of their coefficients. An upper bound on the difference between the solutions of algebraic and differential Riccati equations is derived. The result is applied to study optimality in a stochastic linear-quadratic control problem over an infinite time horizon for an asymptotically autonomous ...
Added: August 31, 2025
R. B. Sandlerskiy, Petrzhik N. M., Jargalsaikhan T. et al., Biology Bulletin 2023 Vol. 50 No. S2 P. S226–S238
The results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region are presented. Using the example of a section of the Khordol-Sardag ridge, the spatiotemporal variation of thermodynamic characteristics calculated within the framework of ...
Added: February 26, 2025
Orlando G., Lampart M., Entropy 2023 Vol. 25 No. 11 Article 1527
Entropy serves as a measure of chaos in systems by representing the average rate of information loss about a phase point’s position on the attractor. When dealing with a multifractal system, a single exponent cannot fully describe its dynamics, necessitating a continuous spectrum of exponents, known as the singularity spectrum. From an investor’s point of ...
Added: February 22, 2024
А. Ю. Попков, Ю. А. Дубнов, Ю. С. Попков, Информатика и автоматизация (Труды СПИИРАН) 2022 Т. 4 № 21 С. 659–677
We propose an approach to estimation of the parameters of non-linear dynamic models using the concept of Randomized Machine Learning (RML), based on the transition from deterministic models to random ones (with random parameters), followed by estimation of the probability distributions of parameters and noises on real data. The main feature of this method is ...
Added: February 5, 2024
Sandlerskiy R., Петржик Н. М., Жаргалсайхан Т. et al., Известия РАН. Серия биологическая 2023 № 8 С. 115–128
Presented results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region. Using the example of a section of the ridge. Khordol-Sardag considers the spatiotemporal variation of thermodynamic characteristics calculated within the framework of the ...
Added: December 17, 2023
Sandlerskiy R., Petrzhik N., Jargalsaikhan T. et al., Entropy 2023 Vol. 25 No. 12 Article 1653
The imminent threat of Mongolian montane forests facing extinction due to climate change emphasizes the pressing need to study these ecosystems for sustainable development. Leveraging multispectral remote sensing data from Landsat 8 OLI TIRS (2013–2021), we apply Tsallis non-extensive thermodynamics to assess spatiotemporal fluctuations in the absorbed solar energy budget (exergy, bound energy, internal energy ...
Added: December 17, 2023
Пузаченко Ю. Г., Sandlerskiy R., Krenke A. et al., Russian Journal of Forest Science 2014 Vol. 7 No. 7 P. 838–854
The article proposes approaches to the use of multispectral remote information in basic research on the spatiotemporal organization of biogeocenotic cover with and without the use of ground field measurements. It is postulated that remote measurements reflect the biophysical condition of biogeocenotic cover defined by the absorption and conversion of solar energy and can be ...
Added: September 3, 2023
Kolachev N., Психологические исследования: электронный научный журнал 2023 Т. 16 № 88 Статья 1
The present articleis aimed to examine the applicability of the difficulty index within the framework of psychometric analysis of psychological tests. It is demonstrated that this index is often disregarded in traditional psychometric research due to its absence in the paradigm of confirmatory factor analysis, which is commonly employed by most psychologists. Analytical and empirical ...
Added: June 23, 2023
Gromov V., Мазайшвили К. В., Заикин П. В. et al., Вестник кибернетики 2022 Т. 45 № 1 С. 72–82
The prevalence of chronic kidney disease is growing every year and is already comparable to such socially significant diseases as hypertension and diabetes mellitus, as well as obesity and metabolic syndrome [1,2]. The standard solution for hemodialysis patients is to create a permanent vascular access in the form of an arteriovenous fistula. However, its use ...
Added: November 14, 2022
Popkov Y., Popkov A. Y., Dubnov Y. A., Mathematical Models and Computer Simulations 2021 Vol. 13 No. 3 P. 382–394
© 2021, Pleiades Publishing, Ltd.Abstract: We develop/propose the method reducing the dimension of a data matrix, based on its direct and inverse projection, and the calculation of projectors that minimize the cross-entropy functional, remove. We introduce the concept of information capacity of a matrix, which is used as a constraint in the optimal reduction problem, ...
Added: October 28, 2022
Popkov Y., Dubnov Y. A., Попков А. Ю., Информатика и автоматизация (Труды СПИИРАН) 2021 Т. 20 № 5 С. 1010–1033
© St. Petersburg Federal Research Center of the Russian Academy of Sciences.The paper is devoted to the forecasting of the COVID-19 epidemic by the novel method of randomized machine learning. This method is based on the idea of estimation of probability distributions of model parameters and noises on real data. Entropy-optimal distributions correspond to the ...
Added: October 28, 2022
Puzachenko Y. G., Sandlerskiy R., Sankovski A. G., Entropy 2013 Vol. 15 No. 9 P. 3970–3982
The paper discusses methods of evaluating thermodynamic properties of landscape cover based on multi-spectral measurements by the Landsat satellites. Authors demonstrate how these methods could be used for studying functionality of landscapes and for spatial interpolation of Flux NET system measurements. ...
Added: March 27, 2022
Puzachenko Y. G., Sandlerskiy R., Svirejeva-Hopkins A., Ecological Modelling 2011 Vol. 222 No. 16 P. 2913–2923
A method that allows the estimation of the thermodynamic parameters of the biosphere has been developed. It results in the subdivision of the following four phase states of the biosphere: three equilibrium states: "white planet" with high albedo and low entropy; temperate forest in winter with high entropy; and desert with high entropy; and one ...
Added: March 27, 2022
Puzachenko Y. G., Sandlerskiy R., Krenke A. et al., Ecological Modelling 2016 Vol. 319 P. 255–274
A method to assess the thermodynamic variables on regional scale using MODIS multispectral band measurements (MOD09GA product) was developed. It was applied to describe the spatial and temporal variability of thermodynamic variables within the western part of the East European Plain in Russia. Seasonal dynamics of thermodynamic variables was described for the main types of ...
Added: March 27, 2022
Sandlersky Robert, Krenke Alexander, Entropy 2020 Vol. 22 No. 10 Article 1132
The hypothesis of an increase in free energy (exergy) by ecosystems during evolution is tested on direct measurements. As a measuring system of thermodynamic parameters (exergy, information, entropy), a series of measurements of reflected solar radiation in bands of Landsat multispectral imagery for 20 years is used. The thermodynamic parameters are compared for different types ...
Added: March 21, 2022
Sandlerskiy R., Entropy 2020 Vol. 22 No. 11 Article 1226
This paper addresses thermodynamic variables that characterize the energy balance and structure of the solar energy transformation by the ecosystems of deciduous tropical forests. By analyzing the seasonal dynamics of these variables, two main states of the thermodynamic system are determined: the end of the drought season and the end of the wet season. Two ...
Added: March 21, 2022