NDLI: Estimating statistical aggregates on probabilistic data streams

Content Provider	ACM Digital Library
Author	Mcgregor, Andrew Muthukrishnan, S. Vee, Erik Jayram, T. S.
Copyright Year	2008
Abstract	The probabilistic stream model was introduced by Jayram et al. [2007]. It is a generalization of the data stream model that is suited to handling $\textit{probabilistic}$ data, where each item of the stream represents a probability distribution over a set of possible events. Therefore, a probabilistic stream determines a distribution over a potentially exponential number of classical $\textit{deterministic}$ streams, where each item is deterministically one of the domain values. We present algorithms for computing commonly used aggregates on a probabilistic stream. We present the first one pass streaming algorithms for estimating the expected mean of a probabilistic stream. Next, we consider the problem of estimating frequency moments for probabilistic data. We propose a general approach to obtain unbiased estimators working over probabilistic data by utilizing unbiased estimators designed for standard streams. Applying this approach, we extend a classical data stream algorithm to obtain a one-pass algorithm for estimating $F_{2},$ the second frequency moment. We present the first known streaming algorithms for estimating $F_{0},$ the number of distinct items on probabilistic streams. Our work also gives an efficient one-pass algorithm for estimating the median, and a two-pass algorithm for estimating the range.
Starting Page	1
Ending Page	30
Page Count	30
File Format	PDF
ISSN	03625915
e-ISSN	15574644
DOI	10.1145/1412331.1412338
Volume Number	33
Issue Number	4
Journal	ACM Transactions on Database Systems (TODS)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2008-12-12
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	OLAP Probabilistic streams Frequency moments Mean Median
Content Type	Text
Resource Type	Article
Subject	Information Systems

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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