Information in Networked Systems: Functional Representation and Data Compression

This lecture by the instructor covers the fundamental concepts of traditional information theory, focusing on lossless data compression and data transmission. It delves into the theory of data compression, entropy, and the maximal mutual information across communication channels. The presentation also includes functional representation lemmas, information spectrum bounds, and entropy of probability couplings. The applications of these concepts in privacy-aware information processing systems and cryptography are discussed, highlighting the importance of information measures in engineering problems.