An introduction to fractal uncertainty principle

An introduction to the Apollonian fractal

This paper provides an introduction to the Apollonian fractal, also known by some as the curvilinear Sierpinski gasket. This fractal is not particularly well known, perhaps because it is not as straightforward to construct as many other fractals such as the related Sierpinski gasket or the Menger sponge. The brief history and a general description of the fractal will be given, including the geo...

An Introduction to Fractal Image Compression

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Notes on fractal uncertainty principle version 0.5 (October 4, 2017)

An Introduction to Sociolinguistics

An Introduction to the MDL Principle

The MDL (Minimum Description Length) principle for statistical model selection and statistical inference is based on the simple idea that the best way to capture regular features in data is to construct a model in a certain class which permits the shortest description of the data and the model itself. Here, a model is a probability measure, and the class is a parametric collection of such model...