THE ROLE OF THE LAPLACE OPERATOR IN ARTIFICIAL INTELLIGENCE

Authors

  • Jurayev Shaxzod Shuxratjonvich Asia International University

DOI:

https://doi.org/10.55640/

Keywords:

Laplace operator, Artificial Intelligence, partial differential equations, machine learning, optimization, neural networks, image processing, data regularization.

Abstract

The Laplace operator, a second-order differential operator, plays a critical role in modern computational systems, especially within Artificial Intelligence (AI) and machine learning frameworks. Originally formulated in mathematical physics, it has become an essential analytical tool for processing multidimensional data, understanding spatial structures, and optimizing algorithms. This paper explores the theoretical foundations of the Laplace operator, its integration into AI models, and its practical applications in image processing, neural networks, and optimization. The study also discusses its physical interpretations and the future prospects of its use in AI-related fields

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References

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Published

2025-11-10

Issue

Vol. 4 No. 10 (2025): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

THE ROLE OF THE LAPLACE OPERATOR IN ARTIFICIAL INTELLIGENCE. (2025). Journal of Multidisciplinary Sciences and Innovations, 4(10), 408-411. https://doi.org/10.55640/

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