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The compressed exponential function (with β > 1) has less practical importance, with the notable exceptions of β = 2, which gives the normal distribution, and of compressed exponential relaxation in the dynamics of amorphous solids. [1] In mathematics, the stretched exponential is also known as the complementary cumulative Weibull distribution.
Zopfli is based on an algorithm from Jyrki Alakuijala. [11] The first reference implementation of Zopfli, by Jyrki Alakuijala and Lode Vandevenne, appeared in February 2013. Version 1.0.0 was released on April 25, 2013. [12] The reference implementation is a software library under the terms of Apache License 2.0, written in C. [2]
For satellite imagery, ratios of over 170:1 [10] have been achieved with acceptable results. Fractal video compression ratios of 25:1–244:1 have been achieved in reasonable compression times (2.4 to 66 sec/frame). [11] Compression efficiency increases with higher image complexity and color depth, compared to simple grayscale images.
Golomb coding is a lossless data compression method using a family of data compression codes invented by Solomon W. Golomb in the 1960s. Alphabets following a geometric distribution will have a Golomb code as an optimal prefix code, [1] making Golomb coding highly suitable for situations in which the occurrence of small values in the input stream is significantly more likely than large values.
During computation in a distributed graph algorithms, passing information along these edges implies communication. [10] Partitioning the graph needs to be done carefully - there is a trade-off between low communication and even size partitioning [11] But partitioning a graph is a NP-hard problem, so it is not feasible to calculate them. Instead ...
Thus, a representation that compresses the storage size of a file from 10 MB to 2 MB yields a space saving of 1 - 2/10 = 0.8, often notated as a percentage, 80%. For signals of indefinite size, such as streaming audio and video, the compression ratio is defined in terms of uncompressed and compressed data rates instead of data sizes:
Still image of a movie of increasing magnification on 0.001643721971153 − 0.822467633298876i Still image of an animation of increasing magnification. There are many programs and algorithms used to plot the Mandelbrot set and other fractals, some of which are described in fractal-generating software.
Rate–distortion theory is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the problem of determining the minimal number of bits per symbol, as measured by the rate R, that should be communicated over a channel, so that the source (input signal) can be approximately reconstructed at the receiver (output signal) without ...