Machine learning has become a cornerstone of modern data-driven science and technology. For mathematics students and researchers, understanding the mathematical foundations behind machine learning is essential, even if they never work directly with real-world datasets.This book provides a rigorous yet accessible introduction to the core mathematical ideas that underpin machine learning. Topics such as linear and nonlinear regression, regularization techniques, and the fundamentals ...

The two-volume set, LNCS 15913 and 15914, constitutes the refereed conference proceedings of the 8th International Conference on Innovative Technologies and Learning, ICITL 2025, held in Oslo, Norway, during August 5–7, 2025.The 82 papers included in these proceedings were carefully reviewed and selected from 214 submissions. The papers are organized in the following topical sections:Part I: Artificial Intelligence in Education; Computational Thinking in Education; Design a...

This book explores the hydrogen integration in energy systems from a whole system optimisation perspective. The book introduces new modelling, optimisation, and reliability evaluation approaches that support the net zero transition.Global warming has been witnessed in the past few decades—as caused by the emission of greenhouse gases, such as carbon dioxide, it not only affects the habitat of animals but also threatens the lives of mankind in modern societies. Around the world, res...

This book constitutes the refereed proceedings of the 16th International Workshop on Machine Learning in Medical Imaging, MLMI 2025, held in Conjunction with MICCAI 2025, Daejeon, South Korea, on September 23, 2025.The 65 full papers included in this book were carefully reviewed and selected from 101 submissions. They focus on advanced scientific research covering topics such as deep learning, foundation models, generative learning, and statistical methods with their applications t...

This book describes the basic concepts and principles of classical mechanics in the intermediate level. Given the perspective that different mechanical problems require an appropriate approach drawn from various methods or principles, a textbook discussing multiple methods or principles in mechanics is highly desirable. Additionally, a good textbook should include historical context on the motivation and the development of the methods or principles, allowing students to gain insights that ...

The two-volume set, LNCS 15913 and 15914, constitutes the refereed conference proceedings of the 8th International Conference on Innovative Technologies and Learning, ICITL 2025, held in Oslo, Norway, during August 5–7, 2025.The 82 papers included in these proceedings were carefully reviewed and selected from 214 submissions. The papers are organized in the following topical sections:Part I: Artificial Intelligence in Education; Computational Thinking in Education; Design a...

This book focuses on the risk modeling, analysis and control of multi-energy systems considering cross-sectorial failure propagation. Both models and methods have been addressed with engineering practice. This is accomplished by doing a thorough investigation into the modeling of system physics and reliabilities in both long- and short-term phases. Different models and methods to evaluate the risk of multi-energy systems considering various disturbances, e.g., component failures, load unce...

This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The...

This book reports innovative deep learning and big data analytics technologies for smart manufacturing applications. In this book, theoretical foundations, as well as the state-of-the-art and practical implementations for the relevant technologies, are covered. This book details the relevant applied research conducted by the authors in some important manufacturing applications, including intelligent prognosis on manufacturing processes, sustainable manufacturing and human-robot cooperation...

Taiwan’s modern legal system--quite different from those of both traditional China and the People’s Republic--has evolved since the advent of Japanese rule in 1895. Japan has gradually adopted Western law during the 19th-century and when it occupied Taiwan--a frontier society composed of Han Chinese settlers--its codes were instituted for the purpose of rapidly assimilating the Taiwanese people into Japanese society.Tay-sheng Wang’s comprehensive study lays a solid foundation for f...

Time is an important factor in physical and natural sciences. It characterizes the progress of chemical and biochemical processes. Mass spectrometry provides the means to study molecular structures by detecting gas-phase ions with the unique mass-to-charge ratios. Time-resolved mass spectrometry (TRMS) allows one to differentiate between chemical states that can be observed sequentially at different time points. Real-time mass spectrometric monitoring enables recording data continuously wi...

This work covers sequence-based protein homology detection, a fundamental and challenging bioinformatics problem with a variety of real-world applications. The text first surveys a few popular homology detection methods, such as Position-Specific Scoring Matrix (PSSM) and Hidden Markov Model (HMM) based methods, and then describes a novel Markov Random Fields (MRF) based method developed by the authors. MRF-based methods are much more sensitive than HMM- and PSSM-based methods for remote h...