This chapter highlights the shift from traditional mathematical
modeling, grounded in theoretical principles and differential equations, to
data-driven approaches that leverage machine learning and empirical data. While
conventional models offer structured frameworks for understanding systems, they
can be limited in flexibility and scalability. In contrast, data-driven models uncover
patterns from large datasets and handle complex, non-linear systems without
relying solely on theoretical assumptions. By integrating machine learning with
traditional models, accuracy and adaptability improve significantly. Different
machine learning techniques, including supervised and reinforcement learning,
extract valuable insights, especially in cases where traditional models falter.
Hybrid models combining physics-based approaches with data-driven techniques
enhance prediction capabilities, such as in energy consumption forecasts for
smart grids. The chapter also addresses challenges like data quality and model
transparency, emphasizing how hybrid models improve interpretability and
predictive power. Case studies demonstrate the benefits of integrating machine
learning with traditional models in enhancing model robustness and accuracy. In
summary, the fusion of machine learning and traditional methods creates more
reliable models, especially for complex systems where conventional approaches
face limitations. [1, 2, 3, 4, 5].
Author
(s) Details
Ghada
Awad Elkarim Mohammed Ahmed Ahmed
Department of Mathematics, Faculty of Science, Al-Baha University,
Alaqiq 65799, Saudi Arabia.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v7/2649