Shannon-Fano - significado y definición. Qué es Shannon-Fano
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Qué (quién) es Shannon-Fano - definición

TECHNIQUE FOR CONSTRUCTING A PREFIX CODE
Shannon-Fano coding; Data compression/Shannon-Fano coding; Shannon-fano
  • Huffman Algorithm

ShannonFano coding         
In the field of data compression, ShannonFano coding, named after Claude Shannon and Robert Fano, is a name given to two different but related techniques for constructing a prefix code based on a set of symbols and their probabilities (estimated or measured).
ShannonFano–Elias coding         
  • The relation of ''F'' to the CDF of ''X''
PRECURSOR TO ARITHMETIC CODING, IN WHICH PROBABILITIES ARE USED TO DETERMINE CODEWORDS
Shannon-Fano-Elias coding
In information theory, ShannonFano–Elias coding is a precursor to arithmetic coding, in which probabilities are used to determine codewords.
Fano variety         
TYPE OF ALGEBRAIC VARIETY
Fano scheme; Fano 3-fold; Fano threefold; Fano varieties; Fano manifolds; Fano manifold
In algebraic geometry, a Fano variety, introduced by Gino Fano in , is a complete variety X whose anticanonical bundle KX* is ample. In this definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of singularities, such as terminal or klt singularities.

Wikipedia

Shannon–Fano coding

In the field of data compression, Shannon–Fano coding, named after Claude Shannon and Robert Fano, is a name given to two different but related techniques for constructing a prefix code based on a set of symbols and their probabilities (estimated or measured).

  • Shannon's method chooses a prefix code where a source symbol i {\displaystyle i} is given the codeword length l i = log 2 p i {\displaystyle l_{i}=\lceil -\log _{2}p_{i}\rceil } . One common way of choosing the codewords uses the binary expansion of the cumulative probabilities. This method was proposed in Shannon's "A Mathematical Theory of Communication" (1948), his article introducing the field of information theory.
  • Fano's method divides the source symbols into two sets ("0" and "1") with probabilities as close to 1/2 as possible. Then those sets are themselves divided in two, and so on, until each set contains only one symbol. The codeword for that symbol is the string of "0"s and "1"s that records which half of the divides it fell on. This method was proposed in a later technical report by Fano (1949).

Shannon–Fano codes are suboptimal in the sense that they do not always achieve the lowest possible expected codeword length, as Huffman coding does. However, Shannon–Fano codes have an expected codeword length within 1 bit of optimal. Fano's method usually produces encoding with shorter expected lengths than Shannon's method. However, Shannon's method is easier to analyse theoretically.

Shannon–Fano coding should not be confused with Shannon–Fano–Elias coding (also known as Elias coding), the precursor to arithmetic coding.