(IC 3.9) Source coding theorem (optimal lossless compression)
Proof of Shannon's "Source coding theorem", characterizing the entropy as the best possible lossless compression (using block codes) for a discrete memoryless source. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
Shannon Nyquist Sampling Theorem
Follow on Twitter: @eigensteve Brunton's website: https://eigensteve.com This video discusses the famous Shannon-Nyquist sampling theorem, which discusses limits on signal reconstruction given how fast it is sampled and the frequency content of the signal. For original papers: Shannon
From playlist Sparsity and Compression [Data-Driven Science and Engineering]
Shannon 100 - 26/10/2016 - Olivier RIOUL
Shannon’s Formula Wlog(1+SNR): A Historical Perspective Olivier Rioul (Télécom-ParisTech) As is well known, the milestone event that founded the field of information theory is the publication of Shannon’s 1948 paper entitled "A Mathematical Theory of Communication". This article brings t
From playlist Shannon 100
(IC 3.10) Relative entropy as the mismatch inefficiency
By considering the inefficiency due to using the wrong probability distribution to design a code using Shannon coding, we arrive at the relative entropy. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
(IC 3.5) Bounds on optimal expected length
Using Shannon coding, one can get within 1 of the entropy. This gives an upper bound on the expected codeword length of an optimal code. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
(IC 5.10) Generalizing arithmetic coding to non-i.i.d. models
Arithmetic coding can accommodate essentially any probabilistic model of the source, in a very natural way. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
26: Divergence Theorem - Valuable Vector Calculus
Video explaining the definition of divergence: https://youtu.be/UEU9dLgmBH4 Video on surface integrals: https://youtu.be/hVBoEEJlNuI The divergence theorem, also called Gauss's theorem, is a natural consequence of the definition of divergence. In this video, we'll see an intuitive explana
From playlist Valuable Vector Calculus
(IC 3.7) Block codes for compression
Introduction to the idea of encoding a sequence of source symbols using blocks, rather than a single symbol at a time. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Huffman Codes: An Information Theory Perspective
Huffman Codes are one of the most important discoveries in the field of data compression. When you first see them, they almost feel obvious in hindsight, mainly due to how simple and elegant the algorithm ends up being. But there's an underlying story of how they were discovered by Huffman
From playlist Data Compression
Order, Entropy, Information, and Compression (Lecture 2) by Dov Levine
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Sergio Verdu - Information Theory Today
Founded by Claude Shannon in 1948, information theory has taken on renewed vibrancy with technological advances that pave the way for attaining the fundamental limits of communication channels and information sources. Increasingly playing a role as a design driver, information theory is b
From playlist NOKIA-IHES Workshop
Shannon 100 - 26/10/2016 - Elisabeth GASSIAT
Entropie, compression et statistique Elisabeth Gassiat (Université de Paris-Sud) Claude Shannon est l'inventeur de la théorie de l'information. Il a introduit la notion d'entropie comme mesure de l'information contenue dans un message vu comme provenant d'une source stochastique et démon
From playlist Shannon 100
La théorie l’information sans peine - Bourbaphy - 17/11/18
Olivier Rioul (Telecom Paris Tech) / 17.11.2018 La théorie l’information sans peine ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com
From playlist Bourbaphy - 17/11/18 - L'information
Shannon 100 - 28/10/2016 - Robert G. GALLAGER
From playlist Shannon 100
Shannon 100 - 27/10/2016 - Gérard BATTAIL
En suivant Shannon : de la technique à la compréhension de la vie Gérard Battail (Télécom ParisTech ER) L’application de la théorie de l’information à la biologie est le thème principal de cette conférence. Shannon, étudiant au MIT, a soutenu en 1940 une thèse intitulée An algebra for th
From playlist Shannon 100
IMS Public Lecture: Trends in Wireless Communications
Sergio Verdú, Princeton University
From playlist Public Lectures
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Mini-course on information by Rajaram Nityananda (Part 1)
Information processing in biological systems URL: https://www.icts.res.in/discussion_meeting/ipbs2016/ DATES: Monday 04 Jan, 2016 - Thursday 07 Jan, 2016 VENUE: ICTS campus, Bangalore From the level of networks of genes and proteins to the embryonic and neural levels, information at var
From playlist Information processing in biological systems