Cart (Loading....) | Create Account
Close category search window
 

Joint Fixed-Rate Universal Lossy Coding and Identification of Continuous-AlphabetMemoryless Sources

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)

The problem of joint universal source coding and density estimation is considered in the setting of fixed-rate lossy coding of continuous-alphabet memoryless sources. For a wide class of bounded distortion measures, it is shown that any compactly parametrized family of Rd -valued independent and identically distributed (i.i.d.) sources with absolutely continuous distributions satisfying appropriate smoothness and Vapnik-Chervonenkis (VC) learnability conditions, admits a joint scheme for universal lossy block coding and parameter estimation, such that when the block length n tends to infinity, the overhead per-letter rate and the distortion redundancies converge to zero as O(n-1 log n) and O(radicn-1 log n), respectively. Moreover, the active source can be determined at the decoder up to a ball of radius O(radicn-1 log n) in variational distance, asymptotically almost surely. The system has finite memory length equal to the block length, and can be thought of as blockwise application of a time-invariant nonlinear filter with initial conditions determined from the previous block. Comparisons are presented with several existing schemes for universal vector quantization, which do not include parameter estimation explicitly, and an extension to unbounded distortion measures is outlined. Finally, finite mixture classes and exponential families are given as explicit examples of parametric sources admitting joint universal compression and modeling schemes of the kind studied here.

Published in:

Information Theory, IEEE Transactions on  (Volume:54 ,  Issue: 7 )

Date of Publication:

July 2008

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.