Lecture Notes on statistics and information Theory

An Introduction to Information Theory and Applications

By F. Bavaud, J. C. Chappelier, and J. Kohlas—This long note contains a good survey of information theory and its applications. It introduces the basic ideas of uncertainty and information, then also the more practical extensions such as optimal coding schemes, followed by the theories underlying versions of stationary processes and Markov chains. Other challenges, as the note addresses, pertain to noisy transmission environments in coding. Highlighted here are several advanced topics that follow, including, importantly, error-correcting codes and cryptography. The resource will give both a theoretical background and a practical overview of how to encode, transmit, and secure information effectively. It is a very important guide for those who seek a deep understanding of information theory and how it relates to real problems of communication and data processing.

Author(s): F Bavaud, J C Chappelier and J Kohlas

293 Pages

Lecture Notes on Information Theory by Prof. Dr. rer. nat. Rudolf Mathar

The lecture notes of Prof. Dr. rer. nat. Rudolf Mathar give a clear and very compact introduction into information theory. These notes are divided into three key parts: the basics of information theory, source coding, and information channels. The introduction treats the basic notions and definitions in information theory in a very solid way. Source coding gives methods and different techniques that are used in encoding information, while the information channels section discusses the pattern in which information is carried and noise that affects it. This resource is a good pick for students and professionals who seek structure in the principles of information theory and its applications from a respected expert in the field.

Author(s): Prof. Dr. rer. nat. Rudolf Mathar, Institute for Theoretical Information Technology Kopernikusstr, Germany

59 Pages

Lecture Notes on statistics and information Theory

This lecture note navigates through information theory, statistics and measure theory. It covers fundamental concepts such as definitions, chain rules, data processing inequalities, and divergences and extends to optimal procedures, LeCam’s and Fano’s inequalities, and operational results like entropy and source coding. It also focus on exponential families and statistical modeling, fitting procedures, and lower bounds on testing parameters, sub-Gaussian and sub-exponential random variables, martingale methods, uniformity covering topics such as Kullback-Leibler divergence, PAC-Bayes bounds, interactive data analysis, and error bounds.

Author(s): John Duchi

464 Pages

Advanced Information Theory notes

The lecture notes Advanced Information Theory Notes by Prof. Dr. sc. techn. Gerhard Kramer cover advanced topics in information theory. Information theory within the context of these notes starts with discrete and continuous random variables to base the student in deeper understandings of complicated scenarios. The key areas include channel coding, important for good data transmission; typical sequences and sets, which are fundamental in the theoretical and practical applications of the coding. The text also explores lossy source coding and distributed source coding, which look into how data might be compressed and transmitted with much efficiency. It also covers multiaccess channels, an important aspect in showing just how different sources of data interact. Such a broad-ranging textbook seems particularly suited to readers having a firm grounding in basic information theory, wanting to advance into more advanced areas as well as applications.

Author(s): Prof Dr. sc. techn. Gerhard Kramer

180 Pages

Information Theory Lecture Notes

Prof. Tsachy Weissman's lecture notes are an excellent summary of the core topics in the subject of information theory. The document initiates with a basic overview of entropy and relative entropy, followed by mutual information and asymptotic equipartition property. Further, it discusses communications theory, channel capacity, and the method of types. It also covers key topics such as typicality-conditioned and joint, lossy compression, and rate-distortion theory. The notes also include joint source-channel coding, where there is quite a good grasp of the principles and applications of information theory. These notes will be very helpful for students and professionals looking forward to structured, comprehensive knowledge about the subject.

Author(s): Prof. Tsachy Weissman

75 Pages

Information Theory for Data Communications and Processing

This is a wide-ranging text by Shlomo Shamai and Abdellatif Zaidi, covering both foundational and advanced topics in information theory applied to data communications and processing. It discusses basic issues, such as information bottleneck problems, unsupervised clustering via methods of the variational information bottleneck, and rate-distortion analysis. It proceeds to get into subjects of a higher level of difficulty: non-orthogonal eMBB and URLLC radio access, robust baseband compression techniques, and amplitude-constrained MIMO channels. Efficient algorithms have been derived for multicasting, content placement in cache networks, and the fundamental limits of caching. The title will be a ready reference for researchers and practitioners interested in the theory and practice of modern communication systems, comprehensively covering recent advancement efforts and applications in information theory.

Author(s): Shlomo Shamai, Abdellatif Zaidi

296 Pages