Incomplete Information in Relational Databases
Journal of the ACM (JACM)
Management of probabilistic data: foundations and challenges
Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Processing forecasting queries
VLDB '07 Proceedings of the 33rd international conference on Very large data bases
A skip-list approach for efficiently processing forecasting queries
Proceedings of the VLDB Endowment
Mathematical Methods in Counterterrorism
Mathematical Methods in Counterterrorism
Efficient integration of external information into forecast models from the energy domain
ADBIS'12 Proceedings of the 16th East European conference on Advances in Databases and Information Systems
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Though forecasting methods are used in numerous fields, we have seen no work on providing a general theoretical framework to build forecast operators into temporal databases. In this paper, we first develop a formal definition of a forecast operator as a function that satisfies a suite of forecast axioms. Based on this definition, we propose three families of forecast operators called deterministic, probabilistic, and possible worlds forecast operators. Additional properties of coherence, monotonicity, and fact preservation are identified that these operators may satisfy (but are not required to). We show how deterministic forecast operators can always be encoded as probabilistic forecast operators, and how both deterministic and probabilistic forecast operators can be expressed as possible worlds forecast operators. Issues related to the complexity of these operators are studied, showing the relative computational tradeoffs of these types of forecast operators. Finally, we explore the integration of forecast operators with standard relational operators in temporal databases and propose several policies for answering forecast queries.