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Creating or modifying a primary index is a time-consuming process, as the index typically needs to be rebuilt from scratch. In this paper, we explore a more graceful "just-in-time" approach to index reorganization, where small changes are…

Databases · Computer Science 2019-01-24 Darshana Balakrishnan , Lukasz Ziarek , Oliver Kennedy

A longest repeat query on a string, motivated by its applications in many subfields including computational biology, asks for the longest repetitive substring(s) covering a particular string position (point query). In this paper, we extend…

Data Structures and Algorithms · Computer Science 2015-11-10 Bojian Xu

To enhance reasoning capabilities, previous works have explored incorporating special-purpose tokens into the training process. These strategies strengthen the learning mechanism of transformer-based large language models (LLMs). Building…

Computation and Language · Computer Science 2025-08-12 Eunki Kim , Sangryul Kim , James Thorne

We consider the problem of maintaining an approximate maximum integral matching in a dynamic graph $G$, while the adversary makes changes to the edges of the graph. The goal is to maintain a $(1+\epsilon)$-approximate maximum matching for…

Data Structures and Algorithms · Computer Science 2022-07-07 Sepehr Assadi , Aaron Bernstein , Aditi Dudeja

Marx (STOC~2010, J.~ACM 2013) introduced the notion of submodular width of a conjunctive query (CQ) and showed that for any class $\Phi$ of Boolean CQs of bounded submodular width, the model-checking problem for $\Phi$ on the class of all…

Databases · Computer Science 2020-03-03 Christoph Berkholz , Nicole Schweikardt

The dynamic trees problem is to maintain a tree under edge updates while supporting queries like connectivity queries or path queries. Despite the first data structure for this fundamental problem -- the link-cut tree -- being invented 40…

Data Structures and Algorithms · Computer Science 2026-01-16 Quinten De Man , Atharva Sharma , Kishen N Gowda , Laxman Dhulipala

Traditional database queries follow a simple model: they define constraints that each tuple in the result must satisfy. This model is computationally efficient, as the database system can evaluate the query conditions on each tuple…

Databases · Computer Science 2015-12-17 Matteo Brucato , Juan Felipe Beltran , Azza Abouzied , Alexandra Meliou

Modern application domains such as Composite Event Recognition (CER) and real-time Analytics require the ability to dynamically refresh query results under high update rates. Traditional approaches to this problem are based either on the…

Databases · Computer Science 2019-05-27 Muhammad Idris , Martín Ugarte , Stijn Vansummeren , Hannes Voigt , Wolfgang Lehner

This paper introduces and studies a declarative framework for updating views over indefinite databases. An indefinite database is a database with null values that are represented, following the standard database approach, by a single null…

Databases · Computer Science 2012-05-22 Luciano Caroprese , Irina Trubitsyna , Miroslaw Truszczynski , Ester Zumpano

We present an efficient dynamic data structure that supports geodesic nearest neighbor queries for a set of point sites $S$ in a static simple polygon $P$. Our data structure allows us to insert a new site in $S$, delete a site from $S$,…

Computational Geometry · Computer Science 2017-07-11 Lars Arge , Frank Staals

We study the complexity of various fundamental counting problems that arise in the context of incomplete databases, i.e., relational databases that can contain unknown values in the form of labeled nulls. Specifically, we assume that the…

Databases · Computer Science 2021-04-29 Marcelo Arenas , Pablo Barceló , Mikaël Monet

We present a data structure that for a dynamic graph $G$ that is updated by edge insertions and deletions, maintains a tree decomposition of $G$ of width at most $6k+5$ under the promise that the treewidth of $G$ never grows above $k$. The…

Data Structures and Algorithms · Computer Science 2023-04-05 Tuukka Korhonen , Konrad Majewski , Wojciech Nadara , Michał Pilipczuk , Marek Sokołowski

We study the metric facility location problem with client insertions and deletions. This setting differs from the classic dynamic facility location problem, where the set of clients remains the same, but the metric space can change over…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski

Consider the problem of maintaining a family $F$ of dynamic sets subject to insertions, deletions, and set-intersection reporting queries: given $S,S'\in F$, report every member of $S\cap S'$ in any order. We show that in the word RAM…

Data Structures and Algorithms · Computer Science 2015-05-06 Tsvi Kopelowitz , Seth Pettie , Ely Porat

Test-Time Optimization enables models to adapt to new data during inference by updating parameters on-the-fly. Recent advances in Vision-Language Models (VLMs) have explored learning prompts at test time to improve performance in downstream…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Dhruv Sarkar , Aprameyo Chakrabartty , Bibhudatta Bhanja

In this paper we propose a dynamic data structure that supports efficient algorithms for updating and querying singly connected Bayesian networks (causal trees and polytrees). In the conventional algorithms, new evidence in absorbed in time…

Artificial Intelligence · Computer Science 2014-08-08 Arthur L. Delcher , Adam J. Grove , Simon Kasif , Judea Pearl

We present a new threshold phenomenon in data structure lower bounds where slightly reduced update times lead to exploding query times. Consider incremental connectivity, letting t_u be the time to insert an edge and t_q be the query time.…

Data Structures and Algorithms · Computer Science 2011-03-29 Mihai Patrascu , Mikkel Thorup

Instead of repeatedly re-analyzing from scratch, an incremental static analysis only analyzes a codebase once completely, and then it updates the previous results based on the code changes. While this sounds promising to achieve speed-ups,…

Software Engineering · Computer Science 2023-08-21 Tamás Szabó

We give a fully dynamic deterministic algorithm for maintaining a maximal matching of an $n$-vertex graph in $\tilde{O}(n^{8/9})$ amortized update time. This breaks the long-standing $\Omega(n)$-update-time barrier on dense graphs,…

Data Structures and Algorithms · Computer Science 2025-09-01 Aaron Bernstein , Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak

We consider the problem of exact probabilistic inference for Union of Conjunctive Queries (UCQs) on tuple-independent databases. For this problem, two approaches currently coexist. In the extensional method, query evaluation is performed by…

Databases · Computer Science 2021-04-29 Mikaël Monet