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Record W2521822164

On formal methods of multidimensional databases

2006· article· en· W2521822164 on OpenAlex
Qian Ken Pu

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueTSpace · 2006
Typearticle
Languageen
FieldComputer Science
TopicAdvanced Database Systems and Queries
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsOnline analytical processingComputer scienceQuery languageQuery optimizationSet (abstract data type)Theoretical computer scienceAutomatic summarizationDatabaseInformation retrievalProgramming languageData warehouse
DOInot available

Abstract

fetched live from OpenAlex

In order to extend the expressive power of the query language to relational completeness which is beyond that of the structured sets, we defined a typed functional query language. The OLAP data objects and query constructs are uniformly represented by functional symbols typed by a polymorphic record-based type system. In order to model the OLAP-specific query constructs, our type system differs in several ways from the existing type systems. We studied the type checking and type inference problem of our type system. The algebraic properties of the functions in the functional OLAP query language can be described as equations. We show that the OLAP related equations can be oriented into an infinite but finitely representable term rewrite system which is both terminating and confluent. The term rewrite system forms the basis of a complete algorithmic decision procedure for query equivalence with respect to the OLAP equational theory. We further show that this rewrite system can be used to solve an equational-theoretic version of the OLAP summarizability problem. Our solution to the OLAP summarizability problem covers cases which have not been dealt with by other work in summarizability. This thesis focuses on the formal aspects of Online Analytic Processing (OLAP) databases and the underlying data model, known as the multidimensional data model. We begin by studying the hierarchical and multidimensional structures of OLAP databases from a set-theoretic approach. We define structured sets to be sets equipped with alphabets which are interpreted to nested subsets. We demonstrate that structured sets can be used to model hierarchical dimensions and multidimensional data cubes. Moreover, OLAP selection queries of the data cubes can be seen as descriptions of subsets of structured sets. We define the minimal length description (MDL) problem of the structured sets, and study its computational complexity, tractability and the algorithmic solutions. The solution to the MDL problem is applied to OLAP selection query optimization and OLAP query results summarization.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.978
Threshold uncertainty score0.270

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.034
GPT teacher head0.381
Teacher spread0.347 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it