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Let $\D = $$ \{d_1,d_2,...d_D\}$ be a given set of $D$ string documents of total length $n$, our task is to index $\D$, such that the $k$ most relevant documents for an online query pattern $P$ of length $p$ can be retrieved efficiently. We…

Data Structures and Algorithms · Computer Science 2012-04-03 Wing-Kai Hon , Rahul Shah , Sharma V. Thankachan

Let $\mathcal{D}$ be a collection of $D$ documents, which are strings over an alphabet of size $\sigma$, of total length $n$. We describe a data structure that uses linear space and and reports $k$ most relevant documents that contain a…

Data Structures and Algorithms · Computer Science 2013-08-02 Gonzalo Navarro , Yakov Nekrich

Let ${\cal{D}}$ = $\{d_1, d_2, d_3, ..., d_D\}$ be a given set of $D$ (string) documents of total length $n$. The top-$k$ document retrieval problem is to index $\cal{D}$ such that when a pattern $P$ of length $p$, and a parameter $k$ come…

Data Structures and Algorithms · Computer Science 2012-11-20 Rahul Shah , Cheng Sheng , Sharma V. Thankachan , Jeffrey Scott Vitter

An optimal index solving top-k document retrieval [Navarro and Nekrich, SODA12] takes O(m + k) time for a pattern of length m, but its space is at least 80n bytes for a collection of n symbols. We reduce it to 1.5n to 3n bytes, with…

Data Structures and Algorithms · Computer Science 2012-11-26 Roberto Konow , Gonzalo Navarro

Document listing on string collections is the task of finding all documents where a pattern appears. It is regarded as the most fundamental document retrieval problem, and is useful in various applications. Many of the fastest-growing…

Data Structures and Algorithms · Computer Science 2019-02-21 Dustin Cobas , Gonzalo Navarro

A classic data structure problem is to preprocess a string T of length $n$ so that, given a query $q$, we can quickly find all substrings of T with Hamming distance at most $k$ from the query string. Variants of this problem have seen…

Data Structures and Algorithms · Computer Science 2026-04-03 Jackson Bibbens , Levi Borevitz , Samuel McCauley

We consider document listing on string collections, that is, finding in which strings a given pattern appears. In particular, we focus on repetitive collections: a collection of size $N$ over alphabet $[1,\sigma]$ is composed of $D$ copies…

Data Structures and Algorithms · Computer Science 2018-11-15 Gonzalo Navarro

In this paper we describe a new efficient (in fact optimal) data structure for the {\em top-$K$ color problem}. Each element of an array $A$ is assigned a color $c$ with priority $p(c)$. For a query range $[a,b]$ and a value $K$, we have to…

Data Structures and Algorithms · Computer Science 2010-10-19 Marek Karpinski , Yakov Nekrich

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 introduce a model for the retrieval of information hidden in legal texts. These are typically organised in a hierarchical (tree) structure, which a reader interested in a given provision needs to explore down to the "deepest" level…

Physics and Society · Physics 2024-09-17 Yanik-Pascal Förster , Alessia Annibale , Luca Gamberi , Evan Tzanis , Pierpaolo Vivo

In this paper we present novel algorithmic techniques with a O(H(N)+N/H(N)) time complexity for performing several types of queries and updates on general rooted trees, binary search trees and lists of size N. For rooted trees we introduce…

Data Structures and Algorithms · Computer Science 2013-03-25 Mugurel Ionut Andreica

We present a novel method for efficiently searching top-k neighbors for documents represented in high dimensional space of terms based on the cosine similarity. Mostly, documents are stored as bag-of-words tf-idf representation. One of the…

Information Retrieval · Computer Science 2016-05-24 Gaurav Singh , Benjamin Piwowarski

A central task in string processing is text indexing, where the goal is to preprocess a text (a string of length $n$) into an efficient index (a data structure) supporting queries about the text. Cole, Gottlieb, and Lewenstein (STOC 2004)…

Data Structures and Algorithms · Computer Science 2025-10-31 Tomasz Kociumaka , Jakub Radoszewski

Most of the fastest-growing string collections today are repetitive, that is, most of the constituent documents are similar to many others. As these collections keep growing, a key approach to handling them is to exploit their…

Information Retrieval · Computer Science 2017-05-22 Travis Gagie , Aleksi Hartikainen , Kalle Karhu , Juha Kärkkäinen , Gonzalo Navarro , Simon J. Puglisi , Jouni Sirén

Given a string of length $n$ that is composed of $r$ runs of letters from the alphabet $\{0,1,\ldots,\sigma{-}1\}$ such that $2 \le \sigma \le r$, we describe a data structure that, provided $r \le n / \log^{\omega(1)} n$, stores the string…

Data Structures and Algorithms · Computer Science 2018-02-27 José Fuentes-Sepúlveda , Juha Kärkkäinen , Dmitry Kosolobov , Simon J. Puglisi

We give the first data structure for the problem of maintaining a dynamic set of n elements drawn from a partially ordered universe described by a tree. We define the Line-Leaf Tree, a linear-sized data structure that supports the…

Data Structures and Algorithms · Computer Science 2011-05-03 Brent Heeringa , Marius Catalin Iordan , Louis Theran

We introduce K-tree in an information retrieval context. It is an efficient approximation of the k-means clustering algorithm. Unlike k-means it forms a hierarchy of clusters. It has been extended to address issues with sparse…

Information Retrieval · Computer Science 2010-01-07 Christopher M. De Vries , Shlomo Geva

It is widely assumed that $O(m+\lg \sigma)$ is the best one can do for finding a pattern of length $m$ in a compacted trie storing strings over an alphabet of size $\sigma$, if one insists on linear-size data structures and deterministic…

Data Structures and Algorithms · Computer Science 2013-02-15 Johannes Fischer , Pawel Gawrychowski

Reading comprehension models are based on recurrent neural networks that sequentially process the document tokens. As interest turns to answering more complex questions over longer documents, sequential reading of large portions of text…

Computation and Language · Computer Science 2018-09-11 Mor Geva , Jonathan Berant

Given two rooted, ordered, and labeled trees $P$ and $T$ the tree inclusion problem is to determine if $P$ can be obtained from $T$ by deleting nodes in $T$. This problem has recently been recognized as an important query primitive in XML…

Data Structures and Algorithms · Computer Science 2011-01-19 Philip Bille , Inge Li Goertz
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