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This paper aims at providing extremely efficient algorithms for approximate query enumeration on sparse databases, that come with performance and accuracy guarantees. We introduce a new model for approximate query enumeration on classes of…

Databases · Computer Science 2021-01-19 Isolde Adler , Polly Fahey

An instance of a group testing problem is a set of objects $\cO$ and an unknown subset $P$ of $\cO$. The task is to determine $P$ by using queries of the type ``does $P$ intersect $Q$'', where $Q$ is a subset of $\cO$. This problem occurs…

Combinatorics · Mathematics 2016-09-06 Emanuel Knill

Nowadays, sampling-based Approximate Query Processing (AQP) is widely regarded as a promising way to achieve interactivity in big data analytics. To build such an AQP system, finding the minimal sample size for a query regarding given error…

Databases · Computer Science 2018-07-31 Xuebin Su , Hongzhi Wang , Jianzhong Li , Hong Gao

We study the problem of computing conjunctive queries over large databases on parallel architectures without shared storage. Using the structure of such a query $q$ and the skew in the data, we study tradeoffs between the number of…

Databases · Computer Science 2016-02-22 Paul Beame , Paraschos Koutris , Dan Suciu

We provide a tight analysis of Grover's recent algorithm for quantum database searching. We give a simple closed-form formula for the probability of success after any given number of iterations of the algorithm. This allows us to determine…

Quantum Physics · Physics 2015-06-26 Michel Boyer , Gilles Brassard , Peter Hoeyer , Alain Tapp

A celebrated important result due to Freedman, Larsen and Wang states that providing additive approximations of the Jones polynomial at the k'th root of unity, for constant k=5 and k>6, is BQP-hard. Together with the algorithmic results of…

Quantum Physics · Physics 2011-03-28 Dorit Aharonov , Itai Arad

We consider the evaluation of approximate top-k queries from relations with a-priori unknown values. Such relations can arise for example in the context of expensive predicates, or cloud-based data sources. The task is to find an…

Databases · Computer Science 2010-08-31 Antti Ukkonen

The resilience of a Boolean query is the minimum number of tuples that need to be deleted from the input tables in order to make the query false. A solution to this problem immediately translates into a solution for the more widely known…

Databases · Computer Science 2020-06-17 Cibele Freire , Wolfgang Gatterbauer , Neil Immerman , Alexandra Meliou

Much recent work has been devoted to approximate nearest neighbor queries. Motivated by applications in recommender systems, we consider approximate furthest neighbor (AFN) queries and present a simple, fast, and highly practical data…

Data Structures and Algorithms · Computer Science 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

This paper studies the complexity of query evaluation for databases whose relations are partially ordered; the problem commonly arises when combining or transforming ordered data from multiple sources. We focus on queries in a useful…

Databases · Computer Science 2019-05-30 Antoine Amarilli , Mouhamadou Lamine Ba , Daniel Deutch , Pierre Senellart

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers respecting a given order of retrieval. While the problem is known…

Data Structures and Algorithms · Computer Science 2015-10-08 Setareh Borjian , Virgile Galle , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

Operational consistent query answering (CQA) is a recent framework for CQA based on revised definitions of repairs, which are built by applying a sequence of operations (e.g., fact deletions) starting from an inconsistent database until we…

Databases · Computer Science 2025-08-25 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

We consider approximation or recovery of functions based on a finite number of function evaluations. This is a well-studied problem in optimal recovery, machine learning, and numerical analysis in general, but many fundamental insights were…

Numerical Analysis · Mathematics 2026-04-07 David Krieg , Mario Ullrich

We show new lower bounds on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer large sets of counting queries. A counting query on a database $D \in (\{0,1\}^d)^n$ has the form "What…

Cryptography and Security · Computer Science 2018-10-25 Mark Bun , Jonathan Ullman , Salil Vadhan

We study the problem of finding the worst-case bound for the size of the result $Q(\mathbb{ D})$ of a fixed conjunctive query $Q$ applied to a database $\mathbb{ D}$ satisfying given functional dependencies. We provide a precise…

Databases · Computer Science 2015-12-08 Tomasz Gogacz , Szymon Toruńczyk

The reliability of a Boolean Conjunctive Query (CQ) over a tuple-independent probabilistic database is the probability that the CQ is satisfied when the tuples of the database are sampled one by one, independently, with their associated…

Databases · Computer Science 2023-06-22 Antoine Amarilli , Benny Kimelfeld

As database query processing techniques are being used to handle diverse workloads, a key emerging challenge is how to efficiently handle multi-way join queries containing multiple many-to-many joins. While uncommon in traditional…

Databases · Computer Science 2025-05-20 Hasara Kalumin , Amol Deshpande

We obtain a query lower bound for quantum algorithms solving the phase estimation problem. Our analysis generalizes existing lower bound approaches to the case where the oracle Q is given by controlled powers Q^p of Q, as it is for example…

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

When two terms occur together in a document, the probability of a close relationship between them and the document itself is greater if they are in nearby positions. However, ranking functions including term proximity (TP) require larger…

Information Retrieval · Computer Science 2016-06-24 Ju Yang , Jiancong Tong , Rebecca J. Stones , Zhaohua Zhang , Benjun Ye , Gang Wang , Xiaoguang Liu

Increasing amounts of available data have led to a heightened need for representing large-scale probabilistic knowledge bases. One approach is to use a probabilistic database, a model with strong assumptions that allow for efficiently…

Artificial Intelligence · Computer Science 2019-04-04 Tal Friedman , Guy Van den Broeck
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