Search results for "database."

showing 10 items of 2119 documents

Error-Free Affine, Unitary, and Probabilistic OBDDs

2018

We introduce the affine OBDD model and show that zero-error affine OBDDs can be exponentially narrower than bounded-error unitary and probabilistic OBDDs on certain problems. Moreover, we show that Las Vegas unitary and probabilistic OBDDs can be quadratically narrower than deterministic OBDDs. We also obtain the same results for the automata versions of these models.

Discrete mathematicsQuadratic growthLas vegas010102 general mathematicsProbabilistic logic02 engineering and technologyComputer Science::Computational ComplexityComputer Science::Artificial Intelligence01 natural sciencesUnitary stateAutomatonSuccinctnessComputer Science::Logic in Computer Science0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingAffine transformation0101 mathematicsComputer Science::DatabasesZero errorMathematics
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2014

Is there a general theorem that tells us when we can hope for exponential speedups from quantum algorithms, and when we cannot? In this paper, we make two advances toward such a theorem, in the black-box model where most quantum algorithms operate. First, we show that for any problem that is invariant under permuting inputs and outputs (like the collision or the element distinctness problems), the quantum query complexity is at least the 9 th root of the classical randomized query complexity. This resolves a conjecture of Watrous from 2002. Second, inspired by recent work of O’Donnell et al. and Dinur et al., we conjecture that every bounded low-degree polynomial has a “highly influential” …

Discrete mathematicsQuantum sortQuantum capacityComputer Science::Computational ComplexityTheoretical Computer ScienceCombinatoricsComputational Theory and MathematicsBQPQuantum no-deleting theoremQuantum algorithmQuantum walkComputer Science::DatabasesQuantum complexity theoryMathematicsQuantum computerTheory of Computing
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General decidability theorems for infinite-state systems

2002

Over the last few years there has been an increasing research effort directed towards the automatic verification of infinite state systems. This paper is concerned with identifying general mathematical structures which can serve as sufficient conditions for achieving decidability. We present decidability results for a class of systems (called well-structured systems), which consist of a finite control part operating on an infinite data domain. The results assume that the data domain is equipped with a well-ordered and well-founded preorder such that the transition relation is "monotonic" (is a simulation) with respect to the preorder. We show that the following properties are decidable for …

Discrete mathematicsRelation (database)ReachabilityData domainPreorderMathematical structurePetri netComputer Science::Formal Languages and Automata TheoryAutomatonDecidabilityMathematics
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Locality of order-invariant first-order formulas

1998

A query is local if the decision of whether a tuple in a structure satisfies this query only depends on a small neighborhood of the tuple. We prove that all queries expressible by order-invariant first-order formulas are local.

Discrete mathematicsRelational databaseComputer Science::Information RetrievalInformationSystems_INFORMATIONSTORAGEANDRETRIEVALLocalityStructure (category theory)InformationSystems_DATABASEMANAGEMENTFirst orderComplexity classOrder (group theory)Invariant (mathematics)TupleAlgorithmComputer Science::DatabasesMathematics
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Elementary (-1)-curves of P-3

2006

In this note we deal with rational curves in P^3 which are images of a line by means of a finite sequence of cubo-cubic Cremona transformations. We prove that these curves can always be obtained applying to the line a sequence of such transformations increasing at each step the degree of the curve. As a corollary we get a result about curves that can give speciality for linear systems of P^3.

Discrete mathematicsSequenceAlgebra and Number TheoryDegree (graph theory)Linear system14C20Finite sequenceMathematics - Algebraic GeometryCorollaryLinear systems fat pointsFamily of curvesLine (geometry)FOS: MathematicsSettore MAT/03 - GeometriaAlgebraic Geometry (math.AG)Computer Science::DatabasesMathematics
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Error-Free Affine, Unitary, and Probabilistic OBDDs

2021

We introduce the affine OBDD model and show that zero-error affine OBDDs can be exponentially narrower than bounded-error unitary and probabilistic OBDDs on certain problems. Moreover, we show that Las-Vegas unitary and probabilistic OBDDs can be quadratically narrower than deterministic OBDDs. We also obtain the same results for the automata counterparts of these models.

Discrete mathematicsState complexityComputer Science::Logic in Computer ScienceComputer Science (miscellaneous)Probabilistic logicAffine transformationComputer Science::Computational ComplexityComputer Science::Artificial IntelligenceUnitary stateComputer Science::DatabasesMathematicsZero errorInternational Journal of Foundations of Computer Science
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Common fixed point theorems for families of occasionally weakly compatible mappings

2011

We prove some common fixed point theorems in probabilistic semi-metric spaces for families of occasionally weakly compatible mappings. We also give a common fixed point theorem for mappings satisfying an integral-type implicit relation.

Discrete mathematicsWeakly compatibleRelation (database)010102 general mathematicsProbabilistic logicOccasionally weakly compatible mappingProbabilistic metric spaceCommon fixed point01 natural sciencesProbabilistic metric spaceComputer Science Applications010101 applied mathematicsLeast fixed pointSettore MAT/05 - Analisi MatematicaModelling and SimulationModeling and SimulationCommon fixed point0101 mathematicsCoincidence pointCommon fixed point theoremMathematicsMathematical and Computer Modelling
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On Multiresolution Transforms Based on Weighted-Least Squares

2014

This work is devoted to construct Harten’s multiresolution transforms using Weighted-Least squares for different discretizations. We establish a relation between the filters obtained using some decimation operators. Some properties and examples of filters are presented.

Discrete-time signalWeight functionDecimationRelation (database)Applied mathematicsConstruct (python library)Mathematics
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Collaborative Assessment of Information Provider's Reliability and Expertise Using Subjective Logic

2011

QA each user can individually estimate the expertise and the reliability of her peers using her direct interactions with them and our framework. The online SN (OSN), which can be considered as a distributed database, performs continuous data aggregation for users expertise and reliability assessment in order to reach a consensus. We emulate a Q&A SN to examine various performance aspects of our algorithm (e.g., convergence time, responsiveness etc.). Our evaluations indicate that it can accurately assess the reliability and the expertise of a user with a small number of samples and can successfully react to the latter's behavior change, provided that the cognitive traits hold in practice.

Distributed databaseComputer scienceBehavior changeComputerApplications_COMPUTERSINOTHERSYSTEMSCognitioncomputer.software_genreInformation providersOrder (business)Human–computer interactionConvergence (routing)Data miningSubjective logiccomputerReliability (statistics)Proceedings of the 7th International Conference on Collaborative Computing: Networking, Applications and Worksharing
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Object Clustering Methods and a Query Decomposition Strategy for Distributed Object-Based Information Systems

1999

Emerging developments and advances in distributed processing have created a need for tools and methods to partition and distribute information systems across interconnected processors. In particular, distribution approaches which take into account the key characteristics of OO concepts are required to extend traditional fragmentation results to object oriented database systems. To fulfill the above requirements, we propose a methodology for the distribution design of object-based information systems. The underlying approach consists of techniques and heuristics that can be used to create clusters of inter-related object classes that can be fragmented interdependently, producing distribution…

Distributed databaseComputer scienceDistributed computingConceptual graphInformation systemInformation processingCluster analysisHeuristicsPartition (database)
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