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Search trees are fundamental data structures in computer science. We study functionals on random search trees that satisfy recurrence relations of a simple additive form. Many important functionals including the space requirement, internal…

Probability · Mathematics 2007-05-23 Nevin Kapur

The dictionary matching problem is to locate occurrences of any pattern among a set of patterns in a given text. Massive data sets abound and at the same time, there are many settings in which working space is extremely limited. We…

Data Structures and Algorithms · Computer Science 2013-01-29 Shoshana Marcus Dina Sokol

Fast feedforward networks (FFFs) are a class of neural networks that exploit the observation that different regions of the input space activate distinct subsets of neurons in wide networks. FFFs partition the input space into separate…

In this paper, we revisit the problem of indexing multi-dimensional data in memory for the efficient support of multi-dimensional range queries and nearest neighbor queries. This is a classic problem in main-memory databases, where there is…

Databases · Computer Science 2026-05-06 Achilleas Michalopoulos , Dimitrios Tsitsigkos , Nikos Mamoulis

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

Offering rich contexts to Large Language Models (LLMs) has shown to boost the performance in various tasks, but the resulting longer prompt would increase the computational cost and might exceed the input limit of LLMs. Recently, some…

Computation and Language · Computer Science 2025-09-30 Wenhao Mao , Chengbin Hou , Tianyu Zhang , Xinyu Lin , Ke Tang , Hairong Lv

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

Machine Learning · Computer Science 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

In this paper, a new compression scheme for text is presented. The same is efficient in giving high compression ratios and enables super fast searching within the compressed text. Typical compression ratios of 70-80% and reducing the search…

Information Retrieval · Computer Science 2007-07-16 Udayan Khurana , Anirudh Koul

Decision trees are machine learning models commonly used in various application scenarios. In the era of big data, traditional decision tree induction algorithms are not suitable for learning large-scale datasets due to their stringent data…

Machine Learning · Computer Science 2020-09-04 Zhe Lin , Sharad Sinha , Wei Zhang

Tries are popular data structures for storing a set of strings, where common prefixes are represented by common root-to-node paths. Over fifty years of usage have produced many variants and implementations to overcome some of their…

Data Structures and Algorithms · Computer Science 2011-12-06 Roberto Grossi , Giuseppe Ottaviano

In the realm of search systems, multi-stage cascade architecture is a prevalent method, typically consisting of sequential modules such as matching, pre-ranking, and ranking. It is generally acknowledged that the model used in the…

Information Retrieval · Computer Science 2023-05-10 Qihang Zhao , Rui-jie Zhu , Liu Yang , He Yongming , Bo Zhou , Luo Cheng

Monte Carlo Tree Search (MCTS) methods have achieved great success in many Artificial Intelligence (AI) benchmarks. The in-tree operations become a critical performance bottleneck in realizing parallel MCTS on CPUs. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Yuan Meng , Rajgopal Kannan , Viktor Prasanna

Accurate traffic prediction, especially predicting traffic conditions several days in advance is essential for intelligent transportation systems (ITS). Such predictions enable mid- and long-term traffic optimization, which is crucial for…

Artificial Intelligence · Computer Science 2024-12-24 Hangli Ge , Xiaojie Yang , Itsuki Matsunaga , Dizhi Huang , Noboru Koshizuka

Document retrieval is one of the best established information retrieval activities since the sixties, pervading all search engines. Its aim is to obtain, from a collection of text documents, those most relevant to a pattern query. Current…

Information Retrieval · Computer Science 2013-10-01 Gonzalo Navarro

We present DeepPrint, a deep network, which learns to extract fixed-length fingerprint representations of only 200 bytes. DeepPrint incorporates fingerprint domain knowledge, including alignment and minutiae detection, into the deep network…

Computer Vision and Pattern Recognition · Computer Science 2019-12-19 Joshua J. Engelsma , Kai Cao , Anil K. Jain

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

Computational Geometry · Computer Science 2021-06-24 Parikshit Ram , Alexander G. Gray

The advent of highly accurate protein structure prediction methods has fueled an exponential expansion of the protein structure database. Consequently, there is a rising demand for rapid and precise structural homolog search. Traditional…

Biomolecules · Quantitative Biology 2023-12-01 Yuan Liu , Hong-Bin Shen

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

We adopt data structure in the form of cover trees and iteratively apply approximate nearest neighbour (ANN) searches for fast compressed sensing reconstruction of signals living on discrete smooth manifolds. Levering on the recent…

Machine Learning · Statistics 2018-09-13 Mohammad Golbabaee , Zhouye Chen , Yves Wiaux , Mike E. Davies

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…

Databases · Computer Science 2023-10-10 Ilya Kokorin , Dan Alistarh , Vitaly Aksenov