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Related lectures (13)
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Temporality and Entity Resolution
Explores challenges in data temporality and techniques for entity resolution.
Distances and Motif Counts
Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.
Error-Correcting Codes: Hamming Distance and Polynomial Multiplication
Covers error-correcting codes, Hamming distance, and polynomial multiplication in algebraic fields.
Error Correction Codes: Structure and Properties
Explores error correction codes, focusing on structure, properties, and the Singleton bound.
E8 Lattice Optimality
Delves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.
Error-Correcting Codes: Reed-Solomon
Explains Reed-Solomon error-correcting codes and their unique decoding property over finite fields.
Spelling Error Correction
Explores spelling error correction, including neologisms and borrowings, using edit distance and finite-state automata.
Binary Parity Check Code
Explores binary parity check codes, systematic generator matrix, and Gaussian elimination.
Ergodic properties of low complexity symbolic systems
Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.
Convolutional Codes: Mapping Symbols and Paths
Covers Convolutional Codes, focusing on mapping symbols and paths.
Error Correction Codes: Basics
Introduces erasure and error channels, Hamming distance, and error correction codes.
Error Correction Codes: Theory and Applications
Covers error correction codes theory and applications, emphasizing the importance of minimizing distance for reliable communication.
Orthogonal Bases and Projection
Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.
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