04354nam a22005895i 4500 978-3-031-56431-4 DE-He213 20251030112046.0 cr nn 008mamaa 240517s2024 sz | s |||| 0|eng d 9783031564314 978-3-031-56431-4 10.1007/978-3-031-56431-4 doi Q325.5-.7 UYQM bicssc MAT029000 bisacsh UYQM thema Michelucci, Umberto. author. aut http://id.loc.gov/vocabulary/relators/aut 76953 Fundamental Mathematical Concepts for Machine Learning in Science [electronic resource] / by Umberto Michelucci. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XVII, 249 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 1. Introduction -- 2. Calculus and Optimisation for Machine Learning -- 3. Linear Algebra -- 4. Statistics and Probability for Machine Learning -- 5. Sampling Theory (a.k.a. Creating a Dataset Properly) -- 6. Model Validation -- 7. Unbalanced Datasets -- 8. Hyperparameter Tuning -- 9. Model Agnostic Feature Importance. This book is for individuals with a scientific background who aspire to apply machine learning within various natural science disciplines—such as physics, chemistry, biology, medicine, psychology and many more. It elucidates core mathematical concepts in an accessible and straightforward manner, maintaining rigorous mathematical integrity. For readers more versed in mathematics, the book includes advanced sections that are not prerequisites for the initial reading. It ensures concepts are clearly defined and theorems are proven where it's pertinent. Machine learning transcends the mere implementation and training of algorithms; it encompasses the broader challenges of constructing robust datasets, model validation, addressing imbalanced datasets, and fine-tuning hyperparameters. These topics are thoroughly examined within the text, along with the theoretical foundations underlying these methods. Rather than concentrating on particular algorithms this book focuses on the comprehensive concepts and theories essential for their application. It stands as an indispensable resource for any scientist keen on integrating machine learning effectively into their research. Numerous texts delve into the technical execution of machine learning algorithms, often overlooking the foundational concepts vital for fully grasping these methods. This leads to a gap in using these algorithms effectively across diverse disciplines. For instance, a firm grasp of calculus is imperative to comprehend the training processes of algorithms and neural networks, while linear algebra is essential for the application and efficient training of various algorithms, including neural networks. Absent a solid mathematical base, machine learning applications may be, at best, cursory, or at worst, fundamentally flawed. This book lays the foundation for a comprehensive understanding of machine learning algorithms and approaches. . Machine learning. 55059 Bioinformatics. 64050 Mathematical physics. Computer simulation. Bioengineering. 65166 Computational intelligence. 64052 Machine Learning. 55059 Bioinformatics. 64050 Computational Physics and Simulations. 65564 Computational and Systems Biology. 65974 Biological and Physical Engineering. 74177 Computational Intelligence. 64052 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031564307 Printed edition: 9783031564321 Printed edition: 9783031564338 https://doi.org/10.1007/978-3-031-56431-4 ZDB-2-SCS ZDB-2-SXCS 59920 59920