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The standard quantum search algorithm lacks a feature, enjoyed by many classical algorithms, of having a fixed-point, i.e. a monotonic convergence towards the solution. Here we present two variations of the quantum search algorithm, which…

Quantum Physics · Physics 2007-05-23 Lov K. Grover , Apoorva Patel , Tathagat Tulsi

Query complexity measures the amount of information an algorithm needs about a problem to compute a solution. On a quantum computer there are different realizations of a query and we will show that these are not always equivalent. Our…

Quantum Physics · Physics 2007-05-23 Arvid J. Bessen

Conjunctive query (CQ) evaluation is NP-complete, but becomes tractable for fragments of bounded hypertreewidth. Approximating a hard CQ by a query from such a fragment can thus allow for an efficient approximate evaluation. While…

Databases · Computer Science 2019-04-02 Pablo Barceló , Miguel Romero , Thomas Zeume

We introduce a formalism to couple integrity constraints over general-purpose knowledge bases with actions that can be executed to restore consistency. This formalism generalizes active integrity constraints over databases. In the more…

Databases · Computer Science 2017-08-09 Luís Cruz-Filipe , Graça Gaspar , Isabel Nunes , Peter Schneider-Kamp

The fundamental tension between availability and consistency shapes the design of distributed storage systems. Classical results capture extreme points of this trade-off: the CAP theorem shows that strong models like linearizability…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-29 Hagit Attiya , Constantin Enea , Enrique Román-Calvo

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

Data Structures and Algorithms · Computer Science 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

We consider the problem of aligning a pair of databases with jointly Gaussian features. We consider two algorithms, complete database alignment via MAP estimation among all possible database alignments, and partial alignment via a…

Machine Learning · Statistics 2019-09-04 Osman Emre Dai , Daniel Cullina , Negar Kiyavash

We present a framework for computing with input data specified by intervals, representing uncertainty in the values of the input parameters. To compute a solution, the algorithm can query the input parameters that yield more refined…

Data Structures and Algorithms · Computer Science 2015-03-19 Manoj Gupta , Yogish Sabharwal , Sandeep Sen

Today, data analysts largely rely on intuition to determine whether missing or withheld rows of a dataset significantly affect their analyses. We propose a framework that can produce automatic contingency analysis, i.e., the range of values…

Databases · Computer Science 2020-04-09 Xi Liang , Zechao Shang , Aaron J. Elmore , Sanjay Krishnan , Michael J. Franklin

Quantum counting is the task of determining the dimension of the subspace of states that are accepted by a quantum verifier circuit. It is the quantum analog of counting the number of valid solutions to NP problems -- a problem well-studied…

Quantum Physics · Physics 2025-03-17 Mason L. Rhodes , Sam Slezak , Anirban Chowdhury , Yiğit Subaşı

Despite 25 years of research in academia, approximate query processing (AQP) has had little industrial adoption. One of the major causes of this slow adoption is the reluctance of traditional vendors to make radical changes to their legacy…

Databases · Computer Science 2018-11-09 Yongjoo Park , Barzan Mozafari , Joseph Sorenson , Junhao Wang

We consider answering queries where the underlying data is available only over limited interfaces which provide lookup access to the tuples matching a given binding, but possibly restricting the number of output tuples returned. Interfaces…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Michael Benedikt

We describe some recent approaches to score-based explanations for query answers in databases. The focus is on work done by the author and collaborators. Special emphasis is placed on the use of counterfactual reasoning for score…

Databases · Computer Science 2023-06-19 Leopoldo Bertossi

We model the algorithmic task of geometric elimination (e.g., quantifier elimination in the elementary field theories of real and complex numbers) by means of certain constraint database queries, called geometric queries. As a particular…

Databases · Computer Science 2011-10-14 Marc Giusti , Joos Heintz , Bart Kuijpers

Constraints over finite sequences of variables are ubiquitous in sequencing and timetabling. Moreover, the wide variety of such constraints in practical applications led to general modelling techniques and generic propagation algorithms,…

Artificial Intelligence · Computer Science 2013-09-30 Nicolas Beldiceanu , Pierre Flener , Justin Pearson , Pascal Van Hentenryck

We consider the problem of finding equivalent minimal-size reformulations of SQL queries in presence of embedded dependencies [1]. Our focus is on select-project-join (SPJ) queries with equality comparisons, also known as safe conjunctive…

Databases · Computer Science 2009-06-27 Rada Chirkova , Michael Genesereth

Consider the situation where a query is to be answered using Web sources that restrict the accesses that can be made on backend relational data by requiring some attributes to be given as input of the service. The accesses provide lookups…

Databases · Computer Science 2015-03-19 Michael Benedikt , Georg Gottlob , Pierre Senellart

Whether it is for audit or for recovery purposes, data checkpointing is an important problem of distributed database systems. Actually, transactions establish dependence relations on data checkpoints taken by data object managers. So, given…

Databases · Computer Science 2007-05-23 R. Baldoni , F. Quaglia , M. Raynal

Quantifying the contribution of database facts to query answers has been studied as means of explanation. The Banzhaf value, originally developed in Game Theory, is a natural measure of fact contribution, yet its efficient computation for…

Databases · Computer Science 2023-08-11 Omer Abramovich , Daniel Deutch , Nave Frost , Ahmet Kara , Dan Olteanu

We study the D-optimal Data Fusion (DDF) problem, which aims to select new data points, given an existing Fisher information matrix, so as to maximize the logarithm of the determinant of the overall Fisher information matrix. We show that…

Optimization and Control · Mathematics 2022-08-09 Yongchun Li , Marcia Fampa , Jon Lee , Feng Qiu , Weijun Xie , Rui Yao