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The ebook edition of this title is Open Access and freely available to read online.
Thomas Kailath is a giant of the mathematical and statistical signal processing fields. His contributions have gone well beyond signal processing, touching many other domains, including communications, control and system theories, applied mathematics, and circuit design. He turned 90 in 2025. This volume, with contributions from leading authorities in their fields, is meant to honor his productive career.
Ali H. Sayed is the Dean of Engineering at École Polytechnique Fédérale de Lausanne, Switzerland, where he also directs the Adaptive Systems Laboratory.
José M. F. Moura is the Philip L. and Marsha Dowd University Professor at Carnegie Mellon University, USA.
Section I. Learning Theory
Chapter 1. Diffusion and Backward Markovian Models; Ali H. Sayed
Chapter 2. AI Foundation Models for Time Series with Innovations Representation; Lang Tong and Xinyi Wang
Chapter 3. Transformer-Based Foundation Models; Zejiang Hou and Sun-Yuan Kung
Chapter 4. World Models and Semantics: From Panini to Wittgenstein to LLMs; Vwani Roychowdhury, Pavan Holur, and Shreyas Rajesh
Section II. Networked Systems
Chapter 5. Graph Signal Processing: Linearity and Shift Invariance Revisited; José M. F. Moura
Chapter 6. Trust-Based Resilient Consensus Methods; Michal Yemini, Stephanie Gil, and Angelia Nedić
Chapter 7. Aging with Stability: Maintaining Stable Network Control with Aged Information; Priyanka Kaswan and Andrea Goldsmith
Chapter 8. Autonomous Convoy Traffic via Myopic Interactions; Dmitry Rabinovich and Alfred M. Bruckstein
Section III. Estimation Theory
Chapter 9. Analytical and Functional Properties of the Conditional Mean Estimator; Alex Dytso and H. Vincent Poor
Chapter 10. Generalized Splines and Gaussian Processes; Michael Unser
Chapter 11. Online Learning via Projections onto Convex Sets; Sergios Theodoridis
Chapter 12. Iteratively Saturated Kalman Filtering; Alan Yang and Stephen Boyd
Chapter 13. Parametrization of Stochastic Variables; Patrick Dewilde
Section IV. Communications
Chapter 14. Green ADCs; Satish Mulleti, Yhonatan Kvich, and Yonina C. Eldar
Chapter 15. Canonical Multiuser MMSE Design; John M. Cioffi, Abhiram Rao Gorle, and Sagnik Bhattacharya
Chapter 16. Design Principles and Theoretical Insights in MIMO and Relay Networks; Hyun Jong Yang and Arogyaswami Paulraj
Chapter 17. Array Processing for Sensing and Communications; Bjorn Ottersten and A. Lee Swindlehurst