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What is Finite State Entropy mean?
Asymmetric numeral systems (ANS) is a family of entropy encoding methods introduced by Jarosław (Jarek) Duda from Jagiellonian University, used in data compression since 2014 due to improved performance compared to previously used methods, being up to 30 times faster. ANS combines the compression ratio of arithmetic coding (which uses a nearly accurate probability distribution), with a processing cost similar to that of Huffman coding. In the tabled ANS (tANS) variant, this is achieved by constructing a finite-state machine to operate on a large alphabet without using multiplication.
Among others, ANS is used in the Facebook Zstandard compressor (also used e.g. in Linux kernel, Android operating system, was published as RFC 8478 for MIME and HTTP), in the Apple LZFSE compressor, Google Draco 3D compressor(used e.g. in Pixar Universal Scene Description format) and PIK image compressor, in CRAM DNA compressor from SAMtools utilities and other genetics file formats, Dropbox DivANS compressor, and in JPEG XL next-generation image compression standard.
The basic idea is to encode information into a single natural number x {\displaystyle x} . In the standard binary number system, we can add a bit s ∈ { 0 , 1 } {\displaystyle s\in \{0,1\}} of information to x {\displaystyle x} by appending s {\displaystyle s} at the end of x {\displaystyle x} , which gives us x ′ = 2 x + s {\displaystyle x'=2x+s} . For an entropy coder, this is optimal if Pr ( 0 ) = Pr ( 1 ) = 1 / 2 {\displaystyle \Pr(0)=\Pr(1)=1/2} . ANS generalizes this process for arbitrary sets of symbols s ∈ S {\displaystyle s\in S}reference
Posted on 21 Sep 2024, this text provides information on Miscellaneous in Academic & Science related to Academic & Science. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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