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The Capacity of Low-Density Parity-Check Codes Under Message-Passing Decoding

by Thomas J. Richardson, Rüdiger L. Urbanke , 2001
"... In this paper, we present a general method for determining the capacity of low-density parity-check (LDPC) codes under message-passing decoding when used over any binary-input memoryless channel with discrete or continuous output alphabets. Transmitting at rates below this capacity, a randomly chos ..."
Abstract - Cited by 574 (9 self) - Add to MetaCart
In this paper, we present a general method for determining the capacity of low-density parity-check (LDPC) codes under message-passing decoding when used over any binary-input memoryless channel with discrete or continuous output alphabets. Transmitting at rates below this capacity, a randomly

The rate-distortion function for source coding with side information at the decoder

by Aaron D. Wyner, Jacob Ziv - IEEE Trans. Inform. Theory , 1976
"... Abstract-Let {(X,, Y,J}r = 1 be a sequence of independent drawings of a pair of dependent random variables X, Y. Let us say that X takes values in the finite set 6. It is desired to encode the sequence {X,} in blocks of length n into a binary stream*of rate R, which can in turn be decoded as a seque ..."
Abstract - Cited by 1060 (1 self) - Add to MetaCart
sequence { 2k}, where zk E %, the reproduction alphabet. The average distorjion level is (l/n) cl = 1 E[D(X,,z&, where D(x, $ 2 0, x E I, 2 E J, is a pre-assigned distortion measure. The special assumption made here is that the decoder has access to the side information {Yk}. In this paper we determine

alphabet

by Antonio Campello, Cristiano Torezzan, Sueli I. R. Costa
"... on torus layers and coding for continuous ..."
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on torus layers and coding for continuous

Real-coded genetic algorithms, virtual alphabets, and blocking

by David E Goldberg , 1990
"... goldbergvmd cso uiuc edu This paper presents a theory of convergence for realcoded genetic algorithmsGAs that use oatingpoint or other highcardinality codings in their chromosomes The theory is consistent with the theory of schemata and postulates that selection dominates early GA performance and r ..."
Abstract - Cited by 107 (7 self) - Add to MetaCart
goldbergvmd cso uiuc edu This paper presents a theory of convergence for realcoded genetic algorithmsGAs that use oatingpoint or other highcardinality codings in their chromosomes The theory is consistent with the theory of schemata and postulates that selection dominates early GA performance

FAST CODES FOR LARGE ALPHABETS ∗

by Boris Ryabko, Jaakko Astola, Karen Egiazarian
"... Abstract. We address the problem of constructing a fast lossless code in the case when the source alphabet is large. The main idea of the new scheme may be described as follows. We group letters with small probabilities in subsets (acting as super letters) and use time consuming coding for these sub ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract. We address the problem of constructing a fast lossless code in the case when the source alphabet is large. The main idea of the new scheme may be described as follows. We group letters with small probabilities in subsets (acting as super letters) and use time consuming coding

Alphabetic Coding with Exponential Costs

by Michael B. Baer , 2009
"... ∑ n i=1 w(i)al(i) for a given An alphabetic binary tree formulation applies to problems in which an outcome needs to be determined via alphabetically ordered search prior to the termination of some window of opportunity. Rather than finding a decision tree minimizing ∑n i=1 w(i)l(i), this variant in ..."
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∑ n i=1 w(i)al(i) for a given An alphabetic binary tree formulation applies to problems in which an outcome needs to be determined via alphabetically ordered search prior to the termination of some window of opportunity. Rather than finding a decision tree minimizing ∑n i=1 w(i)l(i), this variant

Hidden Markov processes

by Yariv Ephraim, Neri Merhav - IEEE Trans. Inform. Theory , 2002
"... Abstract—An overview of statistical and information-theoretic aspects of hidden Markov processes (HMPs) is presented. An HMP is a discrete-time finite-state homogeneous Markov chain observed through a discrete-time memoryless invariant channel. In recent years, the work of Baum and Petrie on finite- ..."
Abstract - Cited by 264 (5 self) - Add to MetaCart
-state finite-alphabet HMPs was expanded to HMPs with finite as well as continuous state spaces and a general alphabet. In particular, statistical properties and ergodic theorems for relative entropy densities of HMPs were developed. Consistency and asymptotic normality of the maximum-likelihood (ML) parameter

The LOCO-I Lossless Image Compression Algorithm: Principles and Standardization into JPEG-LS

by Marcelo J. Weinberger, Gadiel Seroussi, Guillermo Sapiro - IEEE TRANSACTIONS ON IMAGE PROCESSING , 2000
"... LOCO-I (LOw COmplexity LOssless COmpression for Images) is the algorithm at the core of the new ISO/ITU standard for lossless and near-lossless compression of continuous-tone images, JPEG-LS. It is conceived as a "low complexity projection" of the universal context modeling paradigm, match ..."
Abstract - Cited by 253 (11 self) - Add to MetaCart
for capturing high-order dependencies. The model is tuned for efficient performance in conjunction with an extended family of Golomb-type codes, which are adaptively chosen, and an embedded alphabet extension for coding of low-entropy image regions. LOCO-I attains compression ratios similar or superior to those

About Adaptive Coding on Countable Alphabets

by Dominique Bontemps, Stéphane Boucheron, Elisabeth Gassiat , 2012
"... This paper sheds light on universal coding with respect to classes of memoryless sources over a countable alphabet defined by an envelope function with finite and non-decreasing hazard rate. We prove that the auto-censuring (AC) code introduced by Bontemps (2011) is adaptive with respect to the coll ..."
Abstract - Cited by 5 (1 self) - Add to MetaCart
This paper sheds light on universal coding with respect to classes of memoryless sources over a countable alphabet defined by an envelope function with finite and non-decreasing hazard rate. We prove that the auto-censuring (AC) code introduced by Bontemps (2011) is adaptive with respect

Tackling real-coded genetic algorithms: operators and tools for the behavioural analysis

by F. Herrera, M. Lozano, J. L. Verdegay - Arti Intelligence Reviews , 1998
"... Abstract. Genetic algorithms play a significant role, as search techniques for handling com-plex spaces, in many fields such as artificial intelligence, engineering, robotic, etc. Genetic algorithms are based on the underlying genetic process in biological organisms and on the natural evolution prin ..."
Abstract - Cited by 198 (27 self) - Add to MetaCart
principles of populations. These algorithms process a population of chromo-somes, which represent search space solutions, with three operations: selection, crossover and mutation. Under its initial formulation, the search space solutions are coded using the binary alphabet. However, the good properties
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