Farnoud (Hassanzadeh), Farzad and Yaakobi, Eitan and Bruck, Jehoshua (2014) Approximate Sorting of Data Streams with Limited Storage. In: Computing and Combinatorics, COCOON 2014. Lecture Notes in Computer Science. No.8591. Springer , pp. 465-476. ISBN 978-3-319-08782-5. https://resolver.caltech.edu/CaltechAUTHORS:20141203-103210856
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Abstract
We consider the problem of approximate sorting of a data stream (in one pass) with limited internal storage where the goal is not to rearrange data but to output a permutation that reflects the ordering of the elements of the data stream as closely as possible. Our main objective is to study the relationship between the quality of the sorting and the amount of available storage. To measure quality, we use permutation distortion metrics, namely the Kendall tau and Chebyshev metrics, as well as mutual information, between the output permutation and the true ordering of data elements. We provide bounds on the performance of algorithms with limited storage and present a simple algorithm that asymptotically requires a constant factor as much storage as an optimal algorithm in terms of mutual information and average Kendall tau distortion.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2014 Springer International Publishing. The authors would like to thank Ryan Gabrys and Yue Li for useful discussions and comments. | |||||||||
| Series Name: | Lecture Notes in Computer Science | |||||||||
| Issue or Number: | 8591 | |||||||||
| Record Number: | CaltechAUTHORS:20141203-103210856 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141203-103210856 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 52322 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 03 Dec 2014 20:41 | |||||||||
| Last Modified: | 09 Mar 2020 13:19 |
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