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The Probabilistic Vision of the Physical World: A Point of View of Earth Sciences

The Probabilistic Vision of the Physical World: A Point of View of Earth Sciences

Paperback

Series: Lecture Notes in Geosystems Mathematics and Computing

General ComputersGeneral MathematicsProbability & Statistics

ISBN10: 3031882679
ISBN13: 9783031882678
Publisher: Birkhauser
Published: May 16 2025
Pages: 139
Weight: 0.49
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English
This book investigates the relationship between empirical reality and theoretical modelling in Earth sciences, focusing on how empirical experiments and theoretical models interact. It explores the connection between statistics and probability theory, emphasizing the importance of these tools in understanding the physical world. The first chapter addresses the frequency-probability antinomy, while the second chapter discusses the sources of randomness in modelling. Chapters 3 and 4 delve into statistical inference, covering estimation theory and testing theory. Chapter 5 examines the relationship between discrete-finite models and continuous-infinite dimensional models, particularly random fields, making the concepts accessible to geodesists and geophysicists. Chapter 6 explores modern machine learning and deep learning, highlighting their roots in traditional statistical methods and neural networks. The book concludes with a caution against relying solely on empirical evidence and black box algorithms, advocating for the integration of physical laws with empirical models to advance understanding of the physical world.

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Probability & Statistics