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A Generic Top-Down Dynamic-Programming Approach to Prefix-Free Coding

Xiaoming Xu
Fudan University, Shanghai
PhD Application Talk
AG 1, AG 3, AG 4, AG 5, SWS, RG1, MMCI  
Public Audience
English

Date, Time and Location

Tuesday, 16 February 2010
11:10
90 Minutes
E1 4
024
Saarbrücken

Abstract

Given a probability distribution over a set of n words to be transmitted, the Huffman Coding problem is to find a minimal-cost prefix free code for transmitting those words. The basic Huffman coding problem can be solved in O(n log n) time but variations are more difficult. One of the standard techniques for solving these variations utilizes a top-down dynamic programming approach. In this paper we show that this approach is

amenable to dynamic programming speedup techniques, permitting a speedup of an order of magnitude for many algorithms in the literature for such variations as mixed radix, reserved length and one-ended coding. These speedups are immediate implications of a general structural property that permits batching together the calculation of many DP entries.

Contact

IMRPS-CS Office Team
0681 93 25 225
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Tags, Category, Keywords and additional notes

Stephanie Jörg, 02/12/2010 11:01 -- Created document.