A new polynomial-time algorithm for linear programming
Combinatorica
Security problems on inference control for SUM, MAX, and MIN queries
Journal of the ACM (JACM)
Theory of linear and integer programming
Theory of linear and integer programming
The derivation problem of summary data
SIGMOD '88 Proceedings of the 1988 ACM SIGMOD international conference on Management of data
Efficient detection and protection of information in cross tabulated tables I: linear invariant test
SIAM Journal on Discrete Mathematics
A universal-scheme approach to statistical databases containing homogeneous summary tables
ACM Transactions on Database Systems (TODS)
Research problems in data warehousing
CIKM '95 Proceedings of the fourth international conference on Information and knowledge management
Information synthesis in statistical databases
CIKM '95 Proceedings of the fourth international conference on Information and knowledge management
Implementing data cubes efficiently
SIGMOD '96 Proceedings of the 1996 ACM SIGMOD international conference on Management of data
Tables as a paradigm for querying and restructuring (extended abstract)
PODS '96 Proceedings of the fifteenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Total Protection of Analytic-Invariant Information in Cross-Tabulated Tables
SIAM Journal on Computing
Maintenance of data cubes and summary tables in a warehouse
SIGMOD '97 Proceedings of the 1997 ACM SIGMOD international conference on Management of data
OLAP and statistical databases: similarities and differences
PODS '97 Proceedings of the sixteenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Rewriting aggregate queries using views
PODS '99 Proceedings of the eighteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
PODS '99 Proceedings of the eighteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
ACM Transactions on Database Systems (TODS)
Principles of Database Systems
Principles of Database Systems
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Handling summary information in a database: derivability
SIGMOD '81 Proceedings of the 1981 ACM SIGMOD international conference on Management of data
A Linear Algorithm for Finding the Invariant Edges of an Edge-Weighted Graph
SIAM Journal on Computing
Data Cube: A Relational Aggregation Operator Generalizing Group-By, Cross-Tab, and Sub-Totals
Data Mining and Knowledge Discovery
On the Data Model and Access Method of Summary Data Management
IEEE Transactions on Knowledge and Data Engineering
Query Evaluability in Statistical Databases
IEEE Transactions on Knowledge and Data Engineering
Modeling Multidimensional Databases
ICDE '97 Proceedings of the Thirteenth International Conference on Data Engineering
Selection of Views to Materialize in a Data Warehouse
ICDT '97 Proceedings of the 6th International Conference on Database Theory
ICDT '03 Proceedings of the 9th International Conference on Database Theory
Extending Practical Pre-Aggregation in On-Line Analytical Processing
VLDB '99 Proceedings of the 25th International Conference on Very Large Data Bases
Answering Queries with Aggregation Using Views
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
A Foundation for Multi-dimensional Databases
VLDB '97 Proceedings of the 23rd International Conference on Very Large Data Bases
A Model of Summary Data and its Applications in Statistical Databases
Proceedings of the 4th International Working Conference SSDBM on Statistical and Scientific Database Management
The Classification Problem with Semantically Heterogeneous Data
Proceedings of the 4th International Working Conference SSDBM on Statistical and Scientific Database Management
Summarizability in OLAP and Statistical Data Bases
SSDBM '97 Proceedings of the Ninth International Conference on Scientific and Statistical Database Management
Modeling Multidimensional Databases, Cubes and Cube Operations
SSDBM '98 Proceedings of the 10th International Conference on Scientific and Statistical Database Management
Answering queries using views: A survey
The VLDB Journal — The International Journal on Very Large Data Bases
On the content of materialized aggregate views
Journal of Computer and System Sciences - Special issue on PODS 2000
Journal of Computer and System Sciences - Special issue on PODS 2000
Theory of Relational Databases
Theory of Relational Databases
Auditing sum-queries to make a statistical database secure
ACM Transactions on Information and System Security (TISSEC)
Minimal invariant sets in a vertex-weighted graph
Theoretical Computer Science
Auditing and Inference Control in Statistical Databases
IEEE Transactions on Software Engineering
Monotonizing linear programs with up to two nonzeroes per column
Operations Research Letters
Detecting summarizability in OLAP
Data & Knowledge Engineering
Hi-index | 5.23 |
Summary data take the form of a triple that consists of a summary attribute, a category and a numeric value. The inference problem of summary data consists in deciding whether or not a summary data of interest is evaluable (i.e., can be computed) from a given set of summary data. We address the special case of the inference problem with homogeneous summary data (i.e., summary data with the same summary attribute), where the summary attribute is of additive nature. Owing to additivity, one can model the information content of the given summary data by a linear equation system whose variables are constrained to take their values from the domain of the summary attribute. We state two evaluability criteria, one for a real or integral summary attribute, and the other for a nonnegative-real or nonnegative-integral summary attribute. Using the two evaluability criteria, we show that our inference problem can be solved in strongly polynomial time for a real or integral or nonnegative real summary attribute, and is coiNP-complete for a nonnegative-integral summary attribute. Moreover, we prove that, given a summary data of interest that is not evaluable, even in the (simplest) case that the summary attribute is of a real type, finding an evaluable summary data whose category is maximally contained in (or minimally contains) the category of the summary data of interest is an NP-hard problem.