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An optimal binary search tree for an access sequence on elements is a static tree that minimizes the total search cost. Constructing perfectly optimal binary search trees is expensive so the most efficient algorithms construct almost…

数据结构与算法 · 计算机科学 2018-06-28 Mordecai Golin , John Iacono , Stefan Langerman , J. Ian Munro , Yakov Nekrich

We present a new compact representation to efficiently store and query large RDF datasets in main memory. Our proposal, called BMatrix, is based on the k2-tree, a data structure devised to represent binary matrices in a compressed way, and…

数据库 · 计算机科学 2020-02-27 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Antonio Fariña

Spanning trees are an important primitive in many data analysis tasks, when a data set needs to be summarized in terms of its "skeleton", or when a tree-shaped graph over all observations is required for downstream processing. Popular…

离散数学 · 计算机科学 2024-04-10 Enrique Fita Sanmartín , Christoph Schnörr , Fred A. Hamprecht

Augmenting an existing sequential data structure with extra information to support greater functionality is a widely used technique. For example, search trees are augmented to build sequential data structures like order-statistic trees,…

数据结构与算法 · 计算机科学 2024-05-20 Panagiota Fatourou , Eric Ruppert

Increasing the penetration of variable generation has a substantial effect on the operational reliability of power systems. The higher level of uncertainty that stems from this variability makes it more difficult to determine whether a…

系统与控制 · 电气工程与系统科学 2020-04-22 Qingchun Hou , Ning Zhang , Daniel S. Kirschen , Ershun Du , Yaohua Cheng , Chongqing Kang

Large language models achieve strong reasoning performance, yet existing decoding strategies either explore blindly (random sampling) or redundantly (independent multi-sampling). We propose Entropy-Tree, a tree-based decoding method that…

计算与语言 · 计算机科学 2026-01-23 Longxuan Wei , Yubo Zhang , Zijiao Zhang , Zhihu Wang , Shiwan Zhao , Tianyu Huang , Huiting Zhao , Chenfei Liu , Shenao Zhang , Junchi Yan

Behavior Trees (BT) are becoming increasingly popular in the robotics community. The BT tool is well suited for decision-making applications allowing a robot to perform complex behavior while being explainable to humans as well. Verifying…

机器人学 · 计算机科学 2022-09-29 Matteo Tadiello , Elena Troubitsyna

In this paper, we study merge trees induced by a discrete Morse function on a tree. Given a discrete Morse function, we provide a method to constructing an induced merge tree and define a new notion of equivalence of discrete Morse…

代数拓扑 · 数学 2020-07-21 Benjamin Johnson , Nicholas A. Scoville

Tree data structures, such as red-black trees, quad trees, treaps, or tries, are fundamental tools in computer science. A classical problem in concurrency is to obtain expressive, efficient, and scalable versions of practical tree data…

数据库 · 计算机科学 2023-10-10 Ilya Kokorin , Dan Alistarh , Vitaly Aksenov

Block-encoding is a critical subroutine in quantum computing, enabling the transformation of classical data into a matrix representation within a quantum circuit. The resource trade-offs in simulating a block-encoding can be quantified by…

量子物理 · 物理学 2025-04-09 Zexian Li , Xiao-Ming Zhang , Chunlin Yang , Guofeng Zhang

The need for scalable concurrent ordered set data structures with linearizable range query support is increasing due to the rise of multicore computers, data processing platforms and in-memory databases. This paper presents a new concurrent…

分布式、并行与集群计算 · 计算机科学 2017-09-05 Kjell Winblad

We give an algorithm to enumerate the results on trees of monadic second-order (MSO) queries represented by nondeterministic tree automata. After linear time preprocessing (in the input tree), we can enumerate answers with linear delay (in…

数据库 · 计算机科学 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

Rooted bifurcating trees are mathematical objects used to model evolutionary relationships and arise naturally in both coalescent theory and phylogenetics. Recent numerical representations of tree topologies, known as F-matrices, allow for…

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

The design and implementation of efficient concurrent data structures have seen significant attention. However, most of this work has focused on concurrent data structures providing good \emph{worst-case} guarantees. In real workloads,…

分布式、并行与集群计算 · 计算机科学 2020-08-04 Vitaly Aksenov , Dan Alistarh , Alexandra Drozdova , Amirkeivan Mohtashami

As an emerging field, MS-based proteomics still requires software tools for efficiently storing and accessing experimental data. In this work, we focus on the management of LC-MS data, which are typically made available in standard…

计算工程、金融与科学 · 计算机科学 2010-04-27 Sara Nasso , Francesco Silvestri , Francesco Tisiot , Barbara Di Camillo , Andrea Pietracaprina , Gianna Maria Toffolo

In this paper, we initiate study of the computational power of adaptive and non-adaptive monotone decision trees - decision trees where each query is a monotone function on the input bits. In the most general setting, the monotone decision…

计算复杂性 · 计算机科学 2023-01-03 Prashanth Amireddy , Sai Jayasurya , Jayalal Sarma

Small devices collecting data for agricultural, environmental, and industrial monitoring enable Internet of Things (IoT) applications. Given their critical role in data collection, there is a need for optimizations to improve on-device data…

数据库 · 计算机科学 2026-03-09 Nadir Ould-Khessal , Scott Fazackerley , Ramon Lawrence

A $B$-tree is a type of search tree where every node (except possibly for the root) contains between $m$ and $2m$ keys for some positive integer $m$, and all leaves have the same distance to the root. We study sequences of $B$-trees that…

组合数学 · 数学 2024-06-11 Fabian Burghart , Stephan Wagner

Searching spatial data is an important operation for scientific simulations which are performed mostly with periodic boundary conditions. An R-Tree is a well known tree data structure used to contain spatial objects and it is capable of…

数据结构与算法 · 计算机科学 2017-12-11 Toru Niina