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» Performance of universal codes over infinite alphabets
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DCC
2003
IEEE
14 years 3 months ago
Performance of universal codes over infinite alphabets
It is known that universal compression of strings generated by i.i.d. sources over infinite alphabets entails infinite per-symbol redundancy. Continuing previous work [1], we cons...
Alon Orlitsky, Narayana P. Santhanam
CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 4 months ago
Universal Coding on Infinite Alphabets: Exponentially Decreasing Envelopes
This paper deals with the problem of universal lossless coding on a countable infinite alphabet. It focuses on some classes of sources defined by an envelope condition on the margi...
Dominique Bontemps
IEICET
2006
76views more  IEICET 2006»
13 years 4 months ago
Relationship among Complexities of Individual Sequences over Countable Alphabet
This paper investigates some relations among four complexities of sequence over countably infinite alphabet, and shows that two kinds of empirical entropies and the self-entropy r...
Shigeaki Kuzuoka, Tomohiko Uyematsu
DM
2010
88views more  DM 2010»
13 years 4 months ago
Multidimensional generalized automatic sequences and shape-symmetric morphic words
An infinite word is S-automatic if, for all n 0, its (n+1)st letter is the output of a deterministic automaton fed with the representation of n in the numeration system S. In this...
Emilie Charlier, Tomi Kärki, Michel Rigo
TIT
2002
72views more  TIT 2002»
13 years 4 months ago
Universal codes for finite sequences of integers drawn from a monotone distribution
We offer two noiseless codes for blocks of integers Xn = (X1, . . . , Xn). We provide explicit bounds on the relative redundancy that are valid for any distribution F in the class...
Dean P. Foster, Robert A. Stine, Abraham J. Wyner