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We present a new universal source code for distributions of unlabeled binary and ordinal trees that achieves optimal compression to within lower order terms for all tree sources covered by existing universal codes. At the same time, it…

Data Structures and Algorithms · Computer Science 2021-09-06 J. Ian Munro , Patrick K. Nicholson , Louisa Seelbach Benkner , Sebastian Wild

Given a string $S$ over an alphabet $\Sigma$, the 'string indexing problem' is to preprocess $S$ to subsequently support efficient pattern matching queries, i.e., given a pattern string $P$ report all the occurrences of $P$ in $S$. In this…

Data Structures and Algorithms · Computer Science 2023-01-24 Philip Bille , Johannes Fischer , Inge Li Gørtz , Max Rishøj Pedersen , Tord Joakim Stordalen

Efficient text retrieval is critical for applications such as legal document analysis, particularly in specialized contexts like Japanese legal systems. Existing retrieval methods often underperform in such domain-specific scenarios,…

Information Retrieval · Computer Science 2024-12-30 Quang Hoang Trung , Le Trung Hoang , Nguyen Van Hoang Phuc

In this paper we are interested in indexing texts for substring matching queries with one edit error. That is, given a text $T$ of $n$ characters over an alphabet of size $\sigma$, we are asked to build a data structure that answers the…

Data Structures and Algorithms · Computer Science 2014-08-25 Djamal Belazzougui

Quantum computing is a popular topic in computer science, which has recently attracted many studies in various areas such as machine learning and network. However, the topic of quantum data structures seems neglected. There is an open…

Databases · Computer Science 2024-06-03 Hao Liu , Xiaotian You , Raymond Chi-Wing Wong

The quality of machine learning models depends heavily on their training data. Selecting high-quality, diverse training sets for large language models (LLMs) is a difficult task, due to the lack of cheap and reliable quality metrics. While…

Machine Learning · Computer Science 2026-01-30 Robert Istvan Busa-Fekete , Julian Zimmert , Anne Xiangyi Zheng , Claudio Gentile , Andras Gyorgy

We consider the following generalization of the binary search problem. A search strategy is required to locate an unknown target node $t$ in a given tree $T$. Upon querying a node $v$ of the tree, the strategy receives as a reply an…

Data Structures and Algorithms · Computer Science 2017-02-28 Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski , Mengchuan Zou

Information retrieval is a core component of many intelligent systems as it enables conditioning of outputs on new and large-scale datasets. While effective, the standard practice of encoding data into high-dimensional representations for…

Information Retrieval · Computer Science 2026-02-16 Shubham Gupta , Zichao Li , Tianyi Chen , Cem Subakan , Siva Reddy , Perouz Taslakian , Valentina Zantedeschi

We consider the design of adaptive data structures for searching elements of a tree-structured space. We use a natural generalization of the rotation-based online binary search tree model in which the underlying search space is the set of…

Data Structures and Algorithms · Computer Science 2019-08-05 Prosenjit Bose , Jean Cardinal , John Iacono , Grigorios Koumoutsos , Stefan Langerman

Recently Kubica et al. (Inf. Process. Let., 2013) and Kim et al. (submitted to Theor. Comp. Sci.) introduced order-preserving pattern matching. In this problem we are looking for consecutive substrings of the text that have the same "shape"…

The dynamic partial sorting problem asks for an algorithm that maintains lists of numbers under the link, cut and change value operations, and queries the sorted sequence of the $k$ least numbers in one of the lists. We first solve the…

Data Structures and Algorithms · Computer Science 2014-04-21 Jiamou Liu , Kostya Ross

This paper challenges a cross-genre document retrieval task, where the queries are in formal writing and the target documents are in conversational writing. In this task, a query, is a sentence extracted from either a summary or a plot of…

Computation and Language · Computer Science 2017-07-17 Tomasz Jurczyk , Jinho D. Choi

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

Data Structures and Algorithms · Computer Science 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

With the rising quantity of textual data available in electronic format, the need to organize it become a highly challenging task. In the present paper, we explore a document organization framework that exploits an intelligent hierarchical…

Information Retrieval · Computer Science 2015-04-02 Rajendra Kumar Roul , Shubham Rohan Asthana , Sanjay Kumar Sahay

In the last decades, the necessity to process massive amounts of textual data fueled the development of compressed text indexes: data structures efficiently answering queries on a given text while occupying space proportional to the…

Data Structures and Algorithms · Computer Science 2024-09-24 Dominik Kempa , Tomasz Kociumaka

This paper proposed a storing approach for trie structures, called coordinate hash trie. The basic idea is using a global hash table with a special hash function to store all edges of a trie. For a trie with $n$ nodes and an alphabet with…

Data Structures and Algorithms · Computer Science 2023-03-28 Yuxuan Dong

Understanding and extracting of information from large documents, such as business opportunities, academic articles, medical documents and technical reports, poses challenges not present in short documents. Such large documents may be…

Computation and Language · Computer Science 2019-10-10 Muhammad Mahbubur Rahman , Tim Finin

As the Internet grows in size, so does the amount of text based information that exists. For many application spaces it is paramount to isolate and identify texts that relate to a particular topic. While one-class classification would be…

Artificial Intelligence · Computer Science 2021-11-02 Sameer Khanna

Given a string $S$ of length $N$ on a fixed alphabet of $\sigma$ symbols, a grammar compressor produces a context-free grammar $G$ of size $n$ that generates $S$ and only $S$. In this paper we describe data structures to support the…

Data Structures and Algorithms · Computer Science 2014-08-15 Djamal Belazzougui , Simon J. Puglisi , Yasuo Tabei

Assume that an $N$-bit sequence $S$ of $k$ numbers encoded as Elias gamma codes is given as input. We present space-efficient algorithms for sorting, dense ranking and competitive ranking on $S$ in the word RAM model with word size…

Data Structures and Algorithms · Computer Science 2024-09-04 Frank Kammer , Johannes Meintrup , Andrej Sajenko
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