Compression

• Kolmogorov Complexity and Algorithmic Information Theory: The Deepest Measure of Information · 2025-07-30

  Dive into algorithmic information theory: Kolmogorov complexity as the ultimate measure of information content, its relationship to randomness (Martin-Löf tests), the incompressibility method for proving lower bounds, and the philosophical implications for science and mathematics.

• Shannon's Information Theory from First Principles: Entropy, Channel Capacity, and the Fundamental Limits of Communication · 2025-03-05

  Build Shannon's information theory from the ground up: entropy as a measure of uncertainty, source coding theorem, channel capacity, and the noisy-channel coding theorem that established the theoretical limits of reliable communication.