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Data compression and definability of types in stable and dependent formulas
Data compression formulas
2015/9/28
Data compression and definability of types in stable and dependent formulas.
Compression schemes, stable definable families, and o-minimal structures
Compression schemes stable definable families o-minimal structures
2015/9/28
We show that any family of sets uniformly definable in an ominimal
structure has an extended compression scheme of size equal
to the number of parameters in the defining formula.
In the paper, a theoretical work is done for investigating effects of splitting data sequence into packs of data set. We proved that a partitioning of data sequence is possible to find such that the e...
Lossy compression of discrete sources via Viterbi algorithm
Lossy compression discrete sources Viterbi algorithm
2010/11/22
We present a new lossy compressor for discrete-valued sources. For coding a sequence $x^n$, the encoder starts by assigning a certain cost to each possible reconstruction sequence. It then finds the ...
Hilbert space compression under direct limits and certain group extensions
Hilbert space compression direct limits certain group extensions
2010/12/3
We find bounds on the Hilbert space compression of the limit of a directed metric system of groups. We also give estimates on the Hilbert space compression of group extensions of a group H by a a word...