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Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Search trees are commonly used to implement access operations to a set of stored keys. If this set is static and the probabilities of membership queries are known in advance, then one can precompute an optimal search tree, namely one that…

Data Structures and Algorithms · Computer Science 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

This paper is motivated by the vision of more efficient packet classification mechanisms that self-optimize in a demand-aware manner. At the heart of our approach lies a self-adjusting linear list data structure, where unlike in the classic…

Data Structures and Algorithms · Computer Science 2021-10-01 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

In this paper we design and prove correct a fully dynamic distributed algorithm for maintaining an approximate Steiner tree that connects via a minimum-weight spanning tree a subset of nodes of a network (referred as Steiner members or…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis

Recent research suggests that tree search algorithms (e.g. Monte Carlo Tree Search) can dramatically boost LLM performance on complex mathematical reasoning tasks. However, they often require more than 10 times the computational resources…

Computation and Language · Computer Science 2024-07-02 Ante Wang , Linfeng Song , Ye Tian , Baolin Peng , Dian Yu , Haitao Mi , Jinsong Su , Dong Yu

Informed sampling-based planning algorithms exploit problem knowledge for better search performance. This knowledge is often expressed as heuristic estimates of solution cost and used to order the search. The practical improvement of this…

Robotics · Computer Science 2020-12-10 Marlin P. Strub , Jonathan D. Gammell

Augmented B-trees (aB-trees) are a broad class of data structures. The seminal work "succincter" by Patrascu showed that any aB-tree can be stored using only two bits of redundancy, while supporting queries to the tree in time proportional…

Data Structures and Algorithms · Computer Science 2023-09-25 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

Indexes provide a method to access data in databases quickly. It can improve the response speed of subsequent queries by building a complete index in advance. However, it also leads to a huge overhead of the continuous updating during…

Databases · Computer Science 2019-11-27 Gang Wu , Yidong Song , Guodong Zhao , Wei Sun , Donghong Han , Baiyou Qiao , Guoren Wang , Ye Yuan

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

Data Structures and Algorithms · Computer Science 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

Substructure search in chemical compound databases is a fundamental task in cheminformatics with critical implications for fields such as drug discovery, materials science, and toxicology. However, the increasing size and complexity of…

Databases · Computer Science 2023-10-04 Vsevolod Vaskin , Dmitri Jakovlev , Fedor Bakharev

$k$d-trees are widely used in parallel databases to support efficient neighborhood/similarity queries. Supporting parallel updates to $k$d-trees is therefore an important operation. In this paper, we present BDL-tree, a parallel,…

Data Structures and Algorithms · Computer Science 2021-12-14 Rahul Yesantharao , Yiqiu Wang , Laxman Dhulipala , Julian Shun

Log-Structured Merge (LSM) Trees provide a tiered data storage and retrieval paradigm that is attractive for write-optimized data systems. Maintaining an efficient buffer in memory and deferring updates past their initial write-time, the…

Databases · Computer Science 2018-09-11 Aron Szanto

We consider the problem of laying out a tree with fixed parent/child structure in hierarchical memory. The goal is to minimize the expected number of block transfers performed during a search along a root-to-leaf path, subject to a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Michael A. Bender , Erik D. Demaine , Martin Farach-Colton , Theis Rauhe , Mikkel Thorup

Binary search trees (BST) are a popular type of data structure when dealing with ordered data. Indeed, they enable one to access and modify data efficiently, with their height corresponding to the worst retrieval time. From a probabilistic…

Probability · Mathematics 2025-01-28 Benoît Corsini , Victor Dubach , Valentin Féray

We present an optimal partially-persistent external-memory search tree with amortized I/O bounds matching those achieved by the non-persistent $B^{\varepsilon}$-tree by Brodal and Fagerberg [SODA 2003]. In a partially-persistent data…

Data Structures and Algorithms · Computer Science 2025-03-12 Gerth Stølting Brodal , Casper Moldrup Rysgaard , Rolf Svenning

We introduce the zip tree, a form of randomized binary search tree that integrates previous ideas into one practical, performant, and pleasant-to-implement package. A zip tree is a binary search tree in which each node has a numeric rank…

Data Structures and Algorithms · Computer Science 2022-02-23 Robert E. Tarjan , Caleb C. Levy , Stephen Timmel

In this paper we study the question of whether or not a static search tree should ever be unbalanced. We present several methods to restructure an unbalanced k-ary search tree $T$ into a new tree $R$ that preserves many of the properties of…

Data Structures and Algorithms · Computer Science 2010-06-21 Prosenjit Bose , Karim Douïeb

This paper explores two classes of model adaptation methods for Web search ranking: Model Interpolation and error-driven learning approaches based on a boosting algorithm. The results show that model interpolation, though simple, achieves…

Machine Learning · Computer Science 2019-07-24 Jianfeng Gao , Qiang Wu , Chris Burges , Krysta Svore , Yi Su , Nazan Khan , Shalin Shah , Hongyan Zhou

The performance of today's in-memory indexes is bottlenecked by the memory latency/bandwidth wall. Processing-in-memory (PIM) is an emerging approach that potentially mitigates this bottleneck, by enabling low-latency memory access whose…

Motivated by recent developments in optical switching and reconfigurable network design, we study dynamic binary search trees (BSTs) in the matching model. In the classical dynamic BST model, the cost of both link traversal and basic…

Data Structures and Algorithms · Computer Science 2020-12-29 Chen Avin
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