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Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies

Shalini Mishra1 , Garima Singh2 , Manju Prabhakar3

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.3 , pp.69-74, Jun-2024


Online published on Jun 30, 2024


Copyright © Shalini Mishra, Garima Singh, Manju Prabhakar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Shalini Mishra, Garima Singh, Manju Prabhakar, “Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.3, pp.69-74, 2024.

MLA Style Citation: Shalini Mishra, Garima Singh, Manju Prabhakar "Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies." International Journal of Scientific Research in Mathematical and Statistical Sciences 11.3 (2024): 69-74.

APA Style Citation: Shalini Mishra, Garima Singh, Manju Prabhakar, (2024). Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies. International Journal of Scientific Research in Mathematical and Statistical Sciences, 11(3), 69-74.

BibTex Style Citation:
@article{Mishra_2024,
author = {Shalini Mishra, Garima Singh, Manju Prabhakar},
title = {Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2024},
volume = {11},
Issue = {3},
month = {6},
year = {2024},
issn = {2347-2693},
pages = {69-74},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3540},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3540
TI - Integrating Discrete Mathematics in artificial intelligence: A computational perspective with a vision for future technologies
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Shalini Mishra, Garima Singh, Manju Prabhakar
PY - 2024
DA - 2024/06/30
PB - IJCSE, Indore, INDIA
SP - 69-74
IS - 3
VL - 11
SN - 2347-2693
ER -

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Abstract :
This paper present a comprehensive examination of the fundamental role that discrete mathematics plays in the development and future evolution of artificial intelligence(AI) by dissective the core components of AI systems through the lens of discrete mathematics, including areas such as graph theory, combinatoris, logic, and set theory, we identify pivotal connection and propose innovative pathways for future research. The goal is to illuminate how discrete mathematics concept can fuel advancements in AI, enhancing its efficiency, reliability and capability to solve complex problems this paper explores the application of discrete mathematics in the development and optimization of artificial intelligence algorithm and systems Through a series of calculative examples, we aim to illustrate the practical utility of discrete mathematical principles in enhancing the efficiency, accuracy and functionality of AI technologies.

Key-Words / Index Term :
Artificial Intelligence; Discrete Mathematics; Graph Theory; Combinatorics in AI

References :
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[8] Patel, R., & Wang, Graph-Theoretic Approaches to Machine Learning: A Survey , Journal of Artificial Intelligence and Discrete Mathematics Vol.5, Issue.3, pp201-220, 2022.
[9] Smith, K., & Lee, T. H. Continuous-time neural networks for combinatorial optimization. IEEE Transactions on Circuits and Systems I: Regular Papers, Vol.55, Issue.8, pp2451-2461, 2008.
[10] Yang, S., et al. On the convergence of a class of continuous time stochastic processes. IEEE Transactions on Automatic Control, Vol.62, Issue.12, pp6534-6549, 2017.

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