Probabilistic Temporal Databases, I: Algebra

dc.contributor.authorDekhtyar, Alexen_US
dc.contributor.authorRoss, Roberten_US
dc.contributor.authorSubrahmanian, V. S.en_US
dc.date.accessioned2004-05-31T22:55:55Z
dc.date.available2004-05-31T22:55:55Z
dc.date.created1999-01en_US
dc.date.issued1999-01-27en_US
dc.description.abstractDyreson and Snodgrass have drawn attention to the fact that in many temporal database applications, there is often uncertainty present about the start time of events, the end time of events, the duration of events, etc. When the granularity of time is small (e.g. milliseconds), a statement such as "Packet p was shipped sometime during the first 5 days of January, 1998" leads to a massive amount of uncertainty (5 times 24 times 60 times 60 times 1000) possibilities. As noted by Zaniolo et. al., past attempts to deal with uncertainty in databases have been restricted to relatively small amounts of uncertainty in attributes. Dyreson and Snodgrass have taken an important first step towards solving this problem. In this paper, we first introduce the syntax of Temporal-Probabilistic (TP) relations and then show how they can be converted to an explicit, significantly more space-consuming form called Annotated Relations. We then present a {\em Theoretical Annotated Temporal Algebra} (TATA). Being explicit, TATA is convenient for specifying how the algebraic operations should behave, but is impractical to use because annotated relations are overwhelmingly large. Next, we present a Temporal Probabilistic Algebra (TPA). We show that our definition of the TP-Algebra provides a correct implementation of TATA despite the fact that it operates on implicit, succinct TP-relations instead of the overwhelmingly large annotated relations. Finally, we report on timings for an implementation of the TP-Algebra built on top of ODBC. (Also cross-referenced as UMIACS-TR-99-09)en_US
dc.format.extent2012857 bytes
dc.format.mimetypeapplication/postscript
dc.identifier.urihttp://hdl.handle.net/1903/994
dc.language.isoen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3987en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-99-09en_US
dc.titleProbabilistic Temporal Databases, I: Algebraen_US
dc.typeTechnical Reporten_US

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