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Introduction: Course Structure and Fundamentals of Computing
Explores the role of Computing in society and the basics of computing, algorithms, communication systems, and computer security.
Probability Distribution and Entropy
Explains probability distribution, entropy, and Gibbs free entropy, along with the Weiss model.
Cryptography Fundamentals
Delves into the core principles of cryptography, emphasizing the challenges of key management and the impact of technology advancement on security.
Generative Models: Self-Attention and Transformers
Covers generative models with a focus on self-attention and transformers, discussing sampling methods and empirical means.
Thermodynamics: Fundamentals and Applications
Explores the basics of thermodynamics, including energy transformation, laws, and entropy.
Entropy and Data Compression: Huffman Coding Techniques
Discusses entropy, data compression, and Huffman coding techniques, emphasizing their applications in optimizing codeword lengths and understanding conditional entropy.
Cavity and variational methods
Explores the cavity method for the run-fill Ising model and the variational method for approximating the Boltzmann distribution.
Conditional Entropy and Data Compression Techniques
Discusses conditional entropy and its role in data compression techniques.
Rigidity in Negative Curvature
Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.
Conditional Entropy and Information Theory Concepts
Discusses conditional entropy and its role in information theory and data compression.