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Related papers: Maintaining Triangle Queries under Updates

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We consider the problem of incrementally maintaining the triangle count query under single-tuple updates to the input relations. We introduce an approach that exhibits a space-time tradeoff such that the space-time product is quadratic in…

Databases · Computer Science 2019-03-26 Ahmet Kara , Hung Q. Ngo , Milos Nikolic , Dan Olteanu , Haozhe Zhang

We investigate trade-offs in static and dynamic evaluation of hierarchical queries with arbitrary free variables. In the static setting, the trade-off is between the time to partially compute the query result and the delay needed to…

Databases · Computer Science 2024-02-14 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

We study the problem of answering conjunctive queries with free access patterns (CQAPs) under updates. A free access pattern is a partition of the free variables of the query into input and output. The query returns tuples over the output…

Databases · Computer Science 2025-06-18 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

We consider a dynamic situation in the weighted bipartite matching problem: edge weights in the input graph are repeatedly updated and we are asked to maintain an optimal matching at any moment. A trivial approach is to compute an optimal…

Data Structures and Algorithms · Computer Science 2023-08-01 Kohei Morita , Shinya Shiroshita , Yutaro Yamaguchi , Yu Yokoi

We study the classical incremental view maintenance problem: Given a query and a database, maintain the query output under single-tuple updates (inserts or deletes) to the database such that the tuples in the query output can be enumerated…

Databases · Computer Science 2026-05-12 Mahmoud Abo-Khamis , Eden Chmielewski , Andrei Draghici , Ahmet Kara , Dan Olteanu

In this paper, we study the $d$-dimensional update-query problem. We provide lower bounds on update and query running times, assuming a long-standing conjecture on min-plus matrix multiplication, as well as algorithms that are close to the…

Data Structures and Algorithms · Computer Science 2020-10-27 Jason Yang , Jun Wan

We present an algorithmic solution to the problem of incremental belief updating in the context of Monte Carlo inference in Bayesian statistical models represented by probabilistic programs. Given a model and a sample-approximated…

Machine Learning · Statistics 2024-02-13 David Tolpin

Traditional orthogonal range problems allow queries over a static set of points, each with some value. Dynamic variants allow points to be added or removed, one at a time. To support more powerful updates, we introduce the Grid Range class…

Data Structures and Algorithms · Computer Science 2021-01-07 Joshua Lau , Angus Ritossa

We present a new inverse optimization methodology for multi-objective convex optimization that accommodates an input solution that may not be Pareto optimal and determines a weight vector that produces a Pareto optimal solution that…

Optimization and Control · Mathematics 2017-06-22 Timothy C. Y. Chan , Taewoo Lee

We present an algorithm for maintaining the width of a planar point set dynamically, as points are inserted or deleted. Our algorithm takes time O(kn^epsilon) per update, where k is the amount of change the update causes in the convex hull,…

Computational Geometry · Computer Science 2010-01-21 David Eppstein

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

This paper considers optimization problems on the Stiefel manifold $X^{\mathsf{T}}X=I_p$, where $X\in \mathbb{R}^{n \times p}$ is the variable and $I_p$ is the $p$-by-$p$ identity matrix. A framework of constraint preserving update schemes…

Optimization and Control · Mathematics 2014-09-22 Bo Jiang , Yu-Hong Dai

Finding the shortest path distance between an arbitrary pair of vertices is a fundamental problem in graph theory. A tremendous amount of research has been successfully attempted on this problem, most of which is limited to static graphs.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang

For visual-semantic embedding, the existing methods normally treat the relevance between queries and candidates in a bipolar way -- relevant or irrelevant, and all "irrelevant" candidates are uniformly pushed away from the query by an equal…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Mo Zhou , Zhenxing Niu , Le Wang , Zhanning Gao , Qilin Zhang , Gang Hua

We devise an algorithm for maintaining the visibility polygon of any query point in a dynamic polygonal domain, i.e., as the polygonal domain is modified with vertex insertions and deletions to its obstacles, we update the data structures…

Computational Geometry · Computer Science 2020-11-20 Sanjana Agrwal , R. Inkulu

This article describes F-IVM, a unified approach for maintaining analytics over changing relational data. We exemplify its versatility in four disciplines: processing queries with group-by aggregates and joins; learning linear regression…

Databases · Computer Science 2024-01-30 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

This paper investigates an information update system in which a mobile device monitors a physical process and sends status updates to an access point (AP). A fundamental trade-off arises between the timeliness of the information maintained…

Networking and Internet Architecture · Computer Science 2026-01-09 Yu-Pin Hsu , Yi-Hsuan Tseng

Triangle fees are a novel fee structure for AMMs, in which marginal fees are decreasing in a trade's size. That decline is proportional to the movement in the AMM's implied price, i.e. for every basis point the trade moves the ratio of…

Mathematical Finance · Quantitative Finance 2023-07-03 Rithvik Rao , Nihar Shah

An external memory data structure is presented for maintaining a dynamic set of $N$ two-dimensional points under the insertion and deletion of points, and supporting 3-sided range reporting queries and top-$k$ queries, where top-$k$ queries…

Computational Geometry · Computer Science 2015-09-29 Gerth Stølting Brodal

We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

Optimization and Control · Mathematics 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick
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