Information Theory

From Ioannis Kourouklides
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This page contains resources about Information Theory in general.

More specific information is included in each subfield.

Subfields and Concepts

See Category:Information Theory for some of  its subfields.

  • Shannon entropy / Information entropy
  • Cross entropy / Joint entropy
  • Conditional entropy
  • Differential entropy
  • Information content
  • Mutual Information
  • Relative entropy / Kullback-Leibler divergence / Information gain
  • Perplexity
  • Entropy encoding
    • Huffman coding
    • Arithmetic coding
  • Algorithmic Information Theory
    • Kolmogorov Complexity / Algorithmic Complexity
    • Rademacher Complexity
    • Algorithmic Probability / Solomonoff Probability
    • Universal Search (by Levin)
    • Algorithmic Randomness (by Martin-Lof)
    • Solomonoff's Theory of Inductive Inference
    • Epicurus' Principle of Multiple Explanations
    • Occam's Razor
    • Bayes' rule
    • Universality probability
    • Universal Turning Machine
    • Minimum Description Length (MDL) principle
    • Minimum Message Length (MML)
    • Algorithmic Statistics
  • Principle of Maximum Entropy
  • Hamming distance
  • Hamming code
  • Wavelets
  • Information bottleneck
  • Neural Network Compression / Model Compression
    • Nodes pruning
    • Weight pruning / Connection pruning
    • Quantization of weights
    • Deep Compression
    • Dynamic Network Surgery
    • SqueezeNet Architecture
    • Structured Sparsity Learning
    • Soft-weight sharing
    • Bayesian Compression
    • Variational Dropout
  • Coding Theory
    • Data Compression / Source Coding
      • Lossy Compression
      • Lossless Compression
      • Shannon's Source Coding Theorem / Noiseless Coding Theorem
    • Error Correction / Channel Coding
    • Cryptographic Coding
  • Shannon–Hartley Theorem
  • Noisy-Channel Coding Theorem
  • Shannon Limit / Shannon Capacity
  • Applications

Online Courses

Video Lectures


Lecture Notes

Books

See also Textbooks.

Introductory

  • Moser, S. M., & Chen, P. N. (2012). A Student's Guide to Coding and Information Theory. Cambridge University Press.
  • Gray, R. M. (2011). Entropy and Information Theory. Springer.
  • Yeung, R. W. (2008). Information Theory and Network Coding. Springer.
  • Cover, T. M., & Thomas, J. A. (2006). Elements of Information Theory. John Wiley & Sons.

Specialized

  • El Gamal, A., & Kim, Y. H. (2011). Network Information Theory. Cambridge University Press.
  • Merhav, N. (2010). Lecture Notes on Information Theory and Statistical Physics. Foundations and Trends® in Communications and Information Theory 6(1-2): 1-212 .
  • Anderson, D. R. (2008). "Chapter 3: Information Theory and Entropy". Model Based Inference in the Life Sciences. Springer New York.
  • MacKay, D. J. (2003). Information Theory, Inference and Learning Algorithms. Cambridge University Press.

Scholarly Articles

  • Louizos, C., Ullrich, K., & Welling, M. (2017). Bayesian Compression for Deep Learning. In Advances in Neural Information Processing Systems (pp. 3290-3300).
  • Ullrich, K., Meeds, E., & Welling, M. (2017). Soft Weight-Sharing for Neural Network Compression. arXiv preprint arXiv:1702.04008.
  • Molchanov, D., Ashukha, A., & Vetrov, D. (2017). Variational Dropout Sparsifies Deep Neural Networks. arXiv preprint arXiv:1701.05369.
  • Wen, W., Wu, C., Wang, Y., Chen, Y., & Li, H. (2016). Learning Structured Sparsity in Deep Neural Networks. In Advances in Neural Information Processing Systems (pp. 2074-2082).
  • Han, S., Mao, H., & Dally, W. J. (2015). Deep Compression: Compressing Deep Neural Networks with Pruning, Trained Quantization and Huffman Coding. arXiv preprint arXiv:1510.00149.
  • Steinruecken, C. (2014). Lossless Data Compression. PhD Diss., University of Cambridge.
  • Alajaji, F., & Chen, P. N. (2013). Lecture Notes in Information Theory: Part I.
  • Tishby, N., Pereira, F. C., & Bialek, W. (2000). The information Bottleneck Method. arXiv preprint physics/0004057.

Software

See also

Other Resources