Work

Gibbs measures associated with the fully visible Boltzmann machine

Year: 2025

Type: article

Abstract: In this work, we have undertaken a rigorous study of Boltzmann machines and the associatedGibbs measures they induce. Beginning from the machine’s energy function, we have detailedthe construction of the corresponding Gibbs measures and derived the requisite consistency(Kolmogorov) conditions. We have further identified precise criteria under which these consistencyconditions hold and have evaluated their implications for the coherence and validity of statisticalmodels built upon Boltzmann-machine architectures.

Source: UzMU xabarlari

DOI: 10.69617/nuuz.v2i2.2.9944

Authors: A. Z. Xalilov, I. M. Mavlonov, Sh. A. Pardayev

Institutions: Karshi State University, National University of Uzbekistan, Tashkent State Transport University

Language: English

Topic: Neural Networks and Applications

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7164754230

FWCI:

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