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information theory [a07603af]

Tags: computers, math

1. papers that measure information flow

1.1. An Information-theoretic Visual Analysis Framework for Convolutional Neural Networks

  • Uses CNN's, but measures entropy directly instead of trying to measure Mutual Information

    2021-12-19_19-36-40_screenshot.png

1.2. Information flows of diverse autoencoders

1.3. Generalization Bounds for Deep learning

2. Information Foraging Theory for Programmers [79351c57]

2.1. Information foraging for religion

  • Most people go to majlis for information (and need to therefore find religious authorities convincing)

3. Mutual Information [a79368f7]

4. Algorithmic Information Theory

4.1. Information-Theoretic Probing with MDL

arxiv.org/abs/2003.12298

4.2. Solomonoff Theory of Inductive Inference

5. Information Bottleneck [6cde88fd]

5.1. Predictive information in RNN's

5.2. Information Bottleneck Theory Based Exploration of Cascade Learning

5.3. Information bottleneck thesis:

6. Information Theory Course

6.1. Chapter 1

  • "The Mathematical Theory of Communication"
  • Fundalmental limits of communication

    • information is uncertainty -> information is modeled as a random variable

      • uncertainty with information source, aka the information source is noisy
    • information is digital and can be modeled as bits
  • two fundalmental theorems

    • source coding theorem: establishes fundalmental limits in data compression

      • there is always a minimum size that a file can be compressed
    • channel coding theorem: fundalmental limit for reliable communication through a noisy channel

      • also called "channel capacity"