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We consider answering queries on data available through access methods, that provide lookup access to the tuples matching a given binding. Such interfaces are common on the Web; further, they often have bounds on how many results they can…

Logic in Computer Science · Computer Science 2023-06-22 Antoine Amarilli , Michael Benedikt

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

The research on conditional planning rejects the assumptions that there is no uncertainty or incompleteness of knowledge with respect to the state and changes of the system the plans operate on. Without these assumptions the sequences of…

Artificial Intelligence · Computer Science 2011-05-30 J. Rintanen

In the constraint database model, spatial and spatio-temporal data are stored by boolean combinations of polynomial equalities and inequalities over the real numbers. The relational calculus augmented with polynomial constraints is the…

Logic in Computer Science · Computer Science 2007-12-13 Bart Kuijpers , Walied Othman , Rafael Grimson

This work explores fundamental modeling and algorithmic issues arising in the well-established MapReduce framework. First, we formally specify a computational model for MapReduce which captures the functional flavor of the paradigm by…

Data Structures and Algorithms · Computer Science 2013-06-13 Andrea Pietracaprina , Geppino Pucci , Matteo Riondato , Francesco Silvestri , Eli Upfal

We study contextual search, a generalization of binary search in higher dimensions, which captures settings such as feature-based dynamic pricing. Standard formulations of this problem assume that agents act in accordance with a specific…

Machine Learning · Computer Science 2022-08-09 Akshay Krishnamurthy , Thodoris Lykouris , Chara Podimata , Robert Schapire

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 develop a new technique for proving cell-probe lower bounds for static data structures. Previous lower bounds used a reduction to communication games, which was known not to be tight by counting arguments. We give the first lower bound…

Computational Complexity · Computer Science 2007-05-23 Mihai Patrascu , Mikkel Thorup

As data are increasingly modeled as graphs for expressing complex relationships, the tree pattern query on graph-structured data becomes an important type of queries in real-world applications. Most practical query languages, such as XQuery…

Databases · Computer Science 2015-03-19 Qiang Zeng , Xiaorui Jiang , Hai Zhuge

Reconciling the tension between inductive learning and deductive reasoning in first-order relational domains is a longstanding challenge in AI. We study the problem of answering queries in a first-order relational probabilistic logic…

Artificial Intelligence · Computer Science 2026-02-17 Luise Ge , Brendan Juba , Kris Nilsson , Alison Shao

A classical reduced order model for dynamical problems involves spatial reduction of the problem size. However, temporal reduction accompanied by the spatial reduction can further reduce the problem size without losing accuracy much, which…

Numerical Analysis · Mathematics 2019-10-04 Youngsoo Choi , Peter Brown , Bill Arrighi , Robert Anderson

It is well known that quantum, randomized and deterministic (sequential) query complexities are polynomially related for total boolean functions. We find that significantly larger separations between the parallel generalizations of these…

Quantum Physics · Physics 2025-03-13 Joseph Carolan , Amin Shiraz Gilani , Mahathi Vempati

This work initiates the study of memory-query tradeoffs for graph problems, with a focus on correlation clustering. Correlation clustering asks for a partition of the vertices that minimizes disagreements: non-edges inside clusters plus…

Computational Complexity · Computer Science 2026-05-25 Sumegha Garg , Songhua He , Periklis A. Papakonstantinou

This research concerns Learned Data Structures, a recent area that has emerged at the crossroad of Machine Learning and Classic Data Structures. It is methodologically important and with a high practical impact. We focus on Learned Indexes,…

Data Structures and Algorithms · Computer Science 2023-09-06 Domenico Amato , Giosué Lo Bosco , Raffaele Giancarlo

We propose unifying techniques from probabilistic databases and relational embedding models with the goal of performing complex queries on incomplete and uncertain data. We formalize a probabilistic database model with respect to which all…

Artificial Intelligence · Computer Science 2020-06-30 Tal Friedman , Guy Van den Broeck

In this paper, we revisit an auxiliary space preconditioning method proposed by Xu [Computing 56, 1996], in which low-order finite element spaces are employed as auxiliary spaces for solving linear algebraic systems arising from high-order…

Numerical Analysis · Mathematics 2012-04-13 Young-Ju Lee , Wei Leng , Chen-Song Zhang

We consider the task of enumerating and counting answers to $k$-ary conjunctive queries against relational databases that may be updated by inserting or deleting tuples. We exhibit a new notion of q-hierarchical conjunctive queries and show…

Databases · Computer Science 2017-02-22 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

We employ the notions of `sequential function' and `interrogation' (dialogue) in order to define new partial combinatory algebra structures on sets of functions. These structures are analyzed using J. Longley's preorder-enriched category of…

Logic · Mathematics 2009-05-19 Jaap van Oosten

A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space…

Numerical Analysis · Mathematics 2010-11-23 Qingshan Chen , Zhen Qin , Roger Temam

The absolute/relative debate on the nature of space and time is ongoing for thousands of years. Here we attempt to investigate space and time from the information theoretic point of view to understand spatial and temporal correlations under…

Quantum Physics · Physics 2021-01-22 Tian Zhang