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Data Modeling for the Sciences

Data Modeling for the Sciences

Data Modeling for the Sciences

Applications, Basics, Computations
Steve Pressé, Arizona State University
Ioannis Sgouralis, University of Tennessee, Knoxville
August 2023
Hardback
9781009098502
AUD$115.95
inc GST
Hardback
USD
eBook

    With the increasing prevalence of big data and sparse data, and rapidly growing data-centric approaches to scientific research, students must develop effective data analysis skills at an early stage of their academic careers. This detailed guide to data modeling in the sciences is ideal for students and researchers keen to develop their understanding of probabilistic data modeling beyond the basics of p-values and fitting residuals. The textbook begins with basic probabilistic concepts, models of dynamical systems and likelihoods are then presented to build the foundation for Bayesian inference, Monte Carlo samplers and filtering. Modeling paradigms are then seamlessly developed, including mixture models, regression models, hidden Markov models, state-space models and Kalman filtering, continuous time processes and uniformization. The text is self-contained and includes practical examples and numerous exercises. This would be an excellent resource for courses on data analysis within the natural sciences, or as a reference text for self-study.

    • Enables readers with a basic background in calculus to build confidence in cutting-edge data modeling, data analysis, and statistical computing techniques
    • Includes numerous exercises and computational projects that allow the reader to apply key concepts, ranging from simple applications of the theory to current research topics
    • Utilises pseudo-code algorithms that readers can implement in their programming language of choice

    Reviews & endorsements

    'Data Modeling for the Sciences, co-written by a mathematician and molecular scientist, manages to be rigorous, state-of-the-art, and yet accessible all at the same time. Experimentalists faced with complex data sets who need to take their data science to the next level will find this indispensable, and the book forms a great basis for a data science course in physics, chemistry, or biology departments.' Martin Gruebele, James R. Eiszner Chair, University of Illinois at Urbana-Champaign

    'This textbook is a foundational treatise that will change how we address our data by educating a generation of students in data-driven tools available nowhere else. A must/required text for the single molecule biophysics field; I'll definitely require my research students to use it.' Shimon Weiss, Department of Chemistry and Biochemistry, University of California, Los Angeles

    'This book fills a vacuum that has been growing in the last two decades due to the increasing challenges faced by scientists in the analysis of larger and more complex sets of data. Readers will find the foundations of statistical inference, simulation, and computational modeling formulated in a rigorous yet extremely clear manner. In particular, they will learn how much more powerful a data-driven approach to data analysis can be.' Carlos Bustamante, University of California, Berkeley

    'This impressive mathematical treatise lays out a rigorous approach for data analysis and modeling of complex physical systems based on a modern data-centric approach, where noisy measurements are used to extract models for stochastic behavior. Presse and Sgouralis are to be congratulated on the breadth and depth of their presentation.' W. E. Moerner, Stanford University

    'The book is targeted at Masters-level students in the sciences, who will typically have the appropriate computational skills that are assumed, but also at more experienced researchers, who will also find it a very valuable resource … I felt that there was a lot to learn from this book, and I was right, and found it a rewarding read … I recommend the book strongly for anyone involved with analysis of data with any degree of complexity.' Alan Heavens, The Observatory

    See more reviews

    Product details

    August 2023
    Adobe eBook Reader
    9781009115643
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • Part I. Concepts from Modeling, Inference, and Computing:
    • 1. Probabilistic modeling and inference
    • 2. Dynamical systems and Markov processes
    • 3. Likelihoods and latent variables
    • 4. Bayesian inference
    • 5. Computational inference
    • Part II. Statistical Models:
    • 6. Regression models
    • 7. Mixture models
    • 8. Hidden Markov models
    • 9. State-space models
    • 10. Continuous time models*
    • Part III. Appendix: Appendix A: Notation and other conventions
    • Appendix B: Numerical random variables
    • Appendix C: The Kronecker and Dirac deltas
    • Appendix D: Memoryless distributions
    • Appendix E: Foundational aspects of probabilistic modeling
    • Appendix F: Derivation of key relations
    • References
    • Index.
    Resources for
    Type
    Implementation of selected examples from textbook
    Errata
    Size: 130.29 KB
    Type: application/pdf
    Solution Manual for Instructors
    Size: 4.1 MB
    Type: application/pdf
    Sign inThis resource is locked and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.