Data compression statistical modeling

  • How is statistics used in data compression?

    A statistical data compressor processes an input text letter by letter and performs compression in two stages — modeling and coding.
    During modeling a model estimates a probability distribution on the next letter based on the past input..

  • What is compressed data in statistics?

    Data compression is the process of encoding, restructuring or otherwise modifying data in order to reduce its size.
    Fundamentally, it involves re-encoding information using fewer bits than the original representation..

A statistical data compressor processes an input text letter by letter and performs compression in two stages — modeling and coding. During modeling a model estimates a probability distribution on the next letter based on the past input.
A statistical data compressor processes an input text letter by letter and performs compression in two stages — modeling and coding. During modeling a model estimates a probability distribution on the next letter based on the past input.
A statistical data compressor processes an input text letter by letter and performs compression in two stages — modeling and coding. During modeling a model 

Do all statistical models perform lossy data compression?

Interesting question! All statistical models can be viewed as performing lossy data compression.
For instance simple linear regression with one predictor replaces N N points (where N N can be massive, e.g., in the 1000s) with two parameters:

  1. a slope and intercept

Do all statistical models perform lossy data compression?

Interesting question! All statistical models can be viewed as performing lossy data compression

For instance simple linear regression with one predictor replaces N N points (where N N can be massive, e

g

, in the 1000s) with two parameters: a slope and intercept


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