Scientific Machine Learning: Foundations, Algorithms, and Applications

This book highlights and addresses a crucial need in the emerging field of Scientific Machine Learning (SciML) by offering a comprehensive and accessible guide that blends theory, algorithms, and applications. It explores how the synergy between machine learning and scientific computing can lead to more accurate, interpretable, and efficient models for scientific discovery. The book covers foundational mathematical principles, physics-informed neural networks, optimization techniques, uncertainty quantification, deep learning for scientific data, transformer-based foundational models, and neuro-symbolic reasoning. By combining domain knowledge with modern AI, SciML opens new frontiers in disciplines such as physics, biology, and engineering. This book is an essential resource for students, researchers, and professionals aiming to apply AI in scientific domains.

Dr. Bikram Pratim Bhuyan is a researcher at the LISV Laboratory, Université Paris-Saclay, France, and currently serves as the head of MSc in Data and Artificial Intelligence programs at École Centrale d'Électronique, Paris, France. His research focuses on Knowledge Representation and Reasoning, Knowledge Graphs, Artificial Intelligence, Scientific Machine Learning, and Neuro-Symbolic AI. With over eight years of teaching experience and three years in industry, he brings both academic depth and practical insight to his work. He has been awarded multiple scholarships in recognition of academic excellence during his master's and doctoral studies. Bikram is actively involved in interdisciplinary AI research and aims to bridge foundational theory with real-world applications.

Amylia Ait Saadi is a researcher at the LISV Laboratory, Université Paris-Saclay, France, and currently serves as an Assistant Professor at ESME Engineering School, Paris. She holds a Master’s degree in Networks and Telecommunications from the University of Science and Technology Houari Boumediene (USTHB), Algeria. Her research interests span Unmanned Aerial Vehicles (UAVs), intelligent path planning, the application of meta-heuristics in optimization, Scientific Machine Learning, and Artificial Intelligence. She is also actively involved in developing intelligent systems for autonomous navigation and real-time decision-making. Her work integrates algorithmic innovation with real-world applications in robotics and cyber-physical systems.

Dr. Yassine Meraihi received his Ph.D. in Computer Science from the University of M’Hamed Bougara Boumerdes, Algeria. He is currently a Professor at the University of Boumerdes, where he is actively involved in research and teaching in the areas of optimization and artificial intelligence. His primary research interests include the development and application of meta-heuristic algorithms to complex optimization problems and their integration with machine learning techniques. He has authored several papers in international journals and conferences and contributes to advancing hybrid and nature-inspired algorithms. His work is recognized for bridging theoretical innovation with real-world applications in engineering and decision systems.

Dr. Amar Ramdane-Cherif received his Ph.D. from Pierre and Marie Curie University, Paris, and his HDR from the University of Versailles. He served as an Associate Professor at the University of Versailles, before becoming a Full Professor at Université Paris-Saclay, where he is affiliated with the LISV Laboratory. His research spans ambient intelligence, semantic knowledge representation, multimodal human-machine interaction, and software architecture for real-time systems.