The Statistical Physics of Data Assimilation and Machine Learning

ISBN-13: 9781316519639 / Angielski / Twarda / 2022 / 350 str.

San Diego) Abarbanel Henry D. I. (University of California

Opis

The theory of data assimilation and machine learning is introduced in an accessible manner for undergraduate and graduate students.

Spis treści

1. Prologue: linking 'The Future' with the present; 2. A data assimilation reminder; 3. Remembrance of things path; 4. SDA variational principles; Euler–Lagrange equations and Hamiltonian formulation; 5. Using waveform information; 6. Annealing in the model precision Rf; 7. Discrete time integration in data assimilation variational principles; Lagrangian and Hamiltonian formulations; 8. Monte Carlo methods; 9. Machine learning and its equivalence to statistical data assimilation; 10. Two examples of the practical use of data assimilation; 11. Unfinished business; Bibliography; Index.