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YT 14 minutes 40 seconds
mathematicalmonk
(IC 1.1) Information theory and Coding - Outline of topics
YT 11 minutes 39 seconds
mathematicalmonk
(IC 1.2) Applications of Compression codes
YT 29 minutes 10 seconds
mathematicalmonk
(IC 1.3) Applications of Error-correcting codes
YT 12 minutes 33 seconds
mathematicalmonk
(IC 1.4) Source-channel separation
YT 15 minutes 46 seconds
mathematicalmonk
(IC 1.5) Examples of source-encoder-channel pipelines
YT 18 minutes 12 seconds
mathematicalmonk
(IC 1.6) A different notion of "information"
YT 5 minutes 28 seconds
mathematicalmonk
(IC 2.1) A puzzle on weighing coins
YT 13 minutes 52 seconds
mathematicalmonk
(IC 2.2) Symbol codes - terminology and notation
YT 14 minutes 37 seconds
mathematicalmonk
(IC 2.3) Symbol codes - definition and examples
YT 16 minutes
mathematicalmonk
(IC 2.4) Decoding - prefix versus non-prefix
YT 15 minutes 50 seconds
mathematicalmonk
(IC 2.5) Prefix codes
YT 5 minutes 37 seconds
mathematicalmonk
(IC 2.6) Prefix codes - remarks and what's next
YT 13 minutes 14 seconds
mathematicalmonk
(IC 2.7) Expected codeword length
YT 13 minutes 46 seconds
mathematicalmonk
(IC 2.8) Kraft-McMillan inequality - statement
YT 18 minutes 20 seconds
mathematicalmonk
(IC 2.9) Kraft-McMillan - proof of (a)
YT 20 minutes 53 seconds
mathematicalmonk
(IC 2.10) Kraft-McMillan - examples for (b)
YT 12 minutes 32 seconds
mathematicalmonk
(IC 2.11) Kraft-McMillan - proof sketch for (b)
YT 15 minutes 20 seconds
mathematicalmonk
(IC 3.1) Entropy as a lower bound on expected length (part 1)
YT 13 minutes 6 seconds
mathematicalmonk
(IC 3.2) Entropy as a lower bound on expected length (part 2)
YT 17 minutes 49 seconds
mathematicalmonk
(IC 3.3) Entropy as a lower bound on expected length (part 3)
YT 1 minute 44 seconds
mathematicalmonk
(IC 3.4) Remark - an alternate proof
YT 13 minutes 57 seconds
mathematicalmonk
(IC 3.5) Bounds on optimal expected length
YT 3 minutes 57 seconds
mathematicalmonk
(IC 3.6) Example - entropy as a lower bound
YT 13 minutes 25 seconds
mathematicalmonk
(IC 3.7) Block codes for compression
YT 8 minutes 30 seconds
mathematicalmonk
(IC 3.8) Entropy of i.i.d. random variables
YT 15 minutes 49 seconds
mathematicalmonk
(IC 3.9) Source coding theorem (optimal lossless compression)
YT 15 minutes 36 seconds
mathematicalmonk
(IC 3.10) Relative entropy as the mismatch inefficiency
YT 12 minutes 31 seconds
mathematicalmonk
(IC 4.1) Huffman coding - introduction and example
YT 13 minutes 43 seconds
mathematicalmonk
(IC 4.2) Huffman coding - more examples
YT 12 minutes 23 seconds
mathematicalmonk
(IC 4.3) B-ary Huffman codes
YT 6 minutes 32 seconds
mathematicalmonk
(IC 4.4) Weighted minimization with Huffman coding
YT 11 minutes 57 seconds
mathematicalmonk
(IC 4.5) An issue with Huffman coding
YT 14 minutes 37 seconds
mathematicalmonk
(IC 4.6) Optimality of Huffman codes (part 1) - inverse ordering
YT 21 minutes 51 seconds
mathematicalmonk
(IC 4.7) Optimality of Huffman codes (part 2) - weak siblings
YT 8 minutes 1 second
mathematicalmonk
(IC 4.8) Optimality of Huffman codes (part 3) - sibling codes
YT 18 minutes 18 seconds
mathematicalmonk
(IC 4.9) Optimality of Huffman codes (part 4) - extension and contraction
YT 22 minutes 19 seconds
mathematicalmonk
(IC 4.10) Optimality of Huffman codes (part 5) - extension lemma
YT 14 minutes 9 seconds
mathematicalmonk
(IC 4.11) Optimality of Huffman codes (part 6) - induction
YT 23 minutes 46 seconds
mathematicalmonk
(IC 4.12) Optimality of Huffman codes (part 7) - existence
YT 9 minutes 7 seconds
mathematicalmonk
(IC 4.13) Not every optimal prefix code is Huffman
YT 6 minutes 48 seconds
mathematicalmonk
(IC 5.1) Arithmetic coding - introduction
YT 29 minutes 5 seconds
mathematicalmonk
(IC 5.2) Arithmetic coding - Example #1
YT 26 minutes 58 seconds
mathematicalmonk
(IC 5.3) Arithmetic coding - Example #2
YT 25 minutes 3 seconds
mathematicalmonk
(IC 5.4) Why the interval needs to be completely contained
YT 23 minutes 23 seconds
mathematicalmonk
(IC 5.5) Rescaling operations for arithmetic coding
YT 16 minutes 29 seconds
mathematicalmonk
(IC 5.6) Encoder for arithmetic coding (infinite-precision)
YT 19 minutes 37 seconds
mathematicalmonk
(IC 5.7) Decoder for arithmetic coding (infinite-precision)
YT 32 minutes 18 seconds
mathematicalmonk
(IC 5.8) Near optimality of arithmetic coding
YT 19 minutes 8 seconds
mathematicalmonk
(IC 5.9) Computational complexity of arithmetic coding
YT 24 minutes 20 seconds
mathematicalmonk
(IC 5.10) Generalizing arithmetic coding to non-i.i.d. models
YT 31 minutes 37 seconds
mathematicalmonk
(IC 5.11) Finite-precision arithmetic coding - Rescaling
YT 7 minutes 52 seconds
mathematicalmonk
(IC 5.12) Finite-precision arithmetic coding - Setup
YT 17 minutes 37 seconds
mathematicalmonk
(IC 5.13) Finite-precision arithmetic coding - Encoder
YT 24 minutes 22 seconds
mathematicalmonk
(IC 5.14) Finite-precision arithmetic coding - Decoder