Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/369869B2-4694-4EAF-83E4-44A1EEF3BE53 | - |
| Identifier | http://www.computer.org/csdl/trans/tk/2010/08/ttk2010081142-abs.html | - |
| Identifier | https://doi.org/10.1109/TKDE.2010.66 | - |
| Language | en | - |
| Extent | 16 pages | en |
| Title | Histograms and wavelets on probabilistic data | en |
| Creator | Cormode, Graham, 1977- | en |
| Creator | Garofalakis Minos | en |
| Creator | Γαροφαλακης Μινως | el |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Content Summary | There is a growing realization that uncertain information is a first-class citizen in modern database management. As such, we need techniques to correctly and efficiently process uncertain data in database systems. In particular, data reduction techniques that can produce concise, accurate synopses of large probabilistic relations are crucial. Similar to their deterministic relation counterparts, such compact probabilistic data synopses can form the foundation for human understanding and interactive data exploration, probabilistic query planning and optimization, and fast approximate query processing in probabilistic database systems. In this paper, we introduce definitions and algorithms for building histogram- and Haar wavelet-based synopses on probabilistic data. The core problem is to choose a set of histogram bucket boundaries or wavelet coefficients to optimize the accuracy of the approximate representation of a collection of probabilistic tuples under a given error metric. For a variety of different error metrics, we devise efficient algorithms that construct optimal or near optimal size B histogram and wavelet synopses. This requires careful analysis of the structure of the probability distributions, and novel extensions of known dynamic-programming-based techniques for the deterministic domain. Our experiments show that this approach clearly outperforms simple ideas, such as building summaries for samples drawn from the data distribution, while taking equal or less time. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-29 | - |
| Date of Publication | 2010 | - |
| Subject | Histograms | en |
| Subject | Wavelets | en |
| Subject | Probabilistic data | en |
| Bibliographic Citation | G. Cormode and M. Garofalakis, "Histograms and wavelets on probabilistic data", IEEE Trans. Knowl. Data Eng., vol. 22, no. 8, pp. 1142-1157, Aug. 2010. doi:10.1109/TKDE.2010.66 | en |
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