Data Modeling for the Sciences

Steve Pressé is Professor of Physics and Chemistry at Arizona State University, Tempe. His research lies at the interface of Biophysics and Chemical Physics with an emphasis on inverse methods. He is a recipient of a National Science Foundation CAREER award and a Research Corporation 'Molecules come to Life' Fellow. He has extensive experience in teaching data analysis and modeling at both undergraduate and graduate level with funding from the NIH and NSF in data modelling applied to the interpretation of single molecule dynamics and image analysis. Ioannis Sgouralis is Assistant Professor of Mathematics at the University of Tennessee, Knoxville. His research is focused on computational modeling and applied mathematics, particularly the integration of data acquisition with data analysis across biology, chemistry, and physics.

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.