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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…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Kjell Winblad

B$^+$-trees are prevalent in traditional database systems due to their versatility and balanced structure. While binary search is typically utilized for branch operations, it may lead to inefficient cache utilization in main-memory…

Databases · Computer Science 2025-04-04 Yuan Chen , Ao Li , Wenhai Li , Lingfeng Deng

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

The Hierarchical Memory Model (HMM) of computation is similar to the standard Random Access Machine (RAM) model except that the HMM has a non-uniform memory organized in a hierarchy of levels numbered 1 through h. The cost of accessing a…

Data Structures and Algorithms · Computer Science 2008-04-08 Shripad Thite

We suggest a new non-recursive algorithm for constructing a binary search tree given an array of numbers. The algorithm has $O(N)$ time and $O(1)$ memory complexity if the given array of $N$ numbers is sorted. The resulting tree is of…

Data Structures and Algorithms · Computer Science 2022-07-20 Pavel S. Ruzankin

The working-set bound [Sleator and Tarjan, J. ACM, 1985] roughly states that searching for an element is fast if the element was accessed recently. Binary search trees, such as splay trees, can achieve this property in the amortized sense,…

Data Structures and Algorithms · Computer Science 2009-07-14 Prosenjit Bose , Karim Douïeb , Vida Dujmović , John Howat

CRUD operations, along with range queries make a highly useful abstract data type (ADT), employed by many dynamic analytics tasks. Despite its wide applications, to our knowledge, no fully wait-free data structure is known to support this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Gaurav Bhardwaj , Abhay Jain , Bapi Chatterjee , Sathya Peri

We introduce the lazy search tree data structure. The lazy search tree is a comparison-based data structure on the pointer machine that supports order-based operations such as rank, select, membership, predecessor, successor, minimum, and…

Data Structures and Algorithms · Computer Science 2020-10-20 Bryce Sandlund , Sebastian Wild

We revisit multipass pairing heaps and path-balanced binary search trees (BSTs), two classical algorithms for data structure maintenance. The pairing heap is a simple and efficient "self-adjusting" heap, introduced in 1986 by Fredman,…

Data Structures and Algorithms · Computer Science 2018-06-25 Dani Dorfman , Haim Kaplan , László Kozma , Seth Pettie , Uri Zwick

Many concurrent dictionary implementations are designed and optimized for read-mostly workloads with uniformly distributed keys, and often perform poorly on update-heavy workloads. In this work, we first present a concurrent (a,b)-tree, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-03 Anubhav Srivastava , Trevor Brown

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…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

We present a linearizable, non-blocking $k$-ary search tree ($k$-ST) that supports fast searches and range queries. Our algorithm uses single-word compare-and-swap (CAS) operations, and tolerates any number of crash failures. Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-15 Trevor Brown , Hillel Avni

This paper proposes a stable sparse rapidly-exploring random trees (SST) algorithm to solve the optimal motion planning problem for hybrid systems. At each iteration, the proposed algorithm, called HySST, selects a vertex with the lowest…

Robotics · Computer Science 2023-05-31 Nan Wang , Ricardo G. Sanfelice

A history-independent data structure does not reveal the history of operations applied to it, only its current logical state, even if its internal state is examined. This paper studies history-independent concurrent dictionaries, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-28 Hagit Attiya , Michael A. Bender , Martín Farach-Colton , Rotem Oshman , Noa Schiller

We study multi-finger binary search trees (BSTs), a far-reaching extension of the classical BST model, with connections to the well-studied $k$-server problem. Finger search is a popular technique for speeding up BST operations when a query…

Data Structures and Algorithms · Computer Science 2018-09-10 Parinya Chalermsook , Mayank Goswami , László Kozma , Kurt Mehlhorn , Thatchaphol Saranurak

This paper presents a novel approach to enhance the Binary-Addition-Tree algorithm (BAT) by integrating incremental learning techniques. BAT, known for its simplicity in development, implementation, and application, is a powerful implicit…

Machine Learning · Computer Science 2024-09-25 Wei-Chang Yeh

Data augmentation is widely used for training a neural network given little labeled data. A common practice of augmentation training is applying a composition of multiple transformations sequentially to the data. Existing augmentation…

Machine Learning · Computer Science 2024-08-27 Dongyue Li , Kailai Chen , Predrag Radivojac , Hongyang R. Zhang

Containment-based trees encompass various handy structures such as B+-trees, R-trees and M-trees. They are widely used to build data indexes, range-queryable overlays, publish/subscribe systems both in centralized and distributed contexts.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-17 Evangelos Bampas , Anissa Lamani , Franck Petit , Mathieu Valero

Reliable and efficient Visual Place Recognition is a major building block of modern SLAM systems. Leveraging on our prior work, in this paper we present a Hamming Distance embedding Binary Search Tree (HBST) approach for binary Descriptor…

Robotics · Computer Science 2018-09-19 Dominik Schlegel , Giorgio Grisetti

Adaptively Informed Trees (AIT*) is an algorithm that uses the problem-specific heuristic to avoid unnecessary searches, which significantly improves its performance, especially when collision checking is expensive. However, the heuristic…

Robotics · Computer Science 2023-05-26 Chenming Li , Han Ma , Peng Xu , Jiankun Wang , Max Q. -H. Meng