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In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

Computational Geometry · Computer Science 2015-01-15 K. S. Easwarakumar , T. Hema

A keyword dictionary is an associative array whose keys are strings. Recent applications handling massive keyword dictionaries in main memory have a need for a space-efficient implementation. When limited to static applications, there are a…

Data Structures and Algorithms · Computer Science 2020-07-23 Shunsuke Kanda , Dominik Köppl , Yasuo Tabei , Kazuhiro Morita , Masao Fuketa

In this paper, we explore worst-case solutions for the problems of single and multiple matching on strings in the word RAM model with word length w. In the first problem, we have to build a data structure based on a pattern p of length m…

Data Structures and Algorithms · Computer Science 2015-05-20 Djamal Belazzougui

We develop dynamic dictionaries on the word RAM that use asymptotically optimal space, up to constant factors, subject to insertions and deletions, and subject to supporting perfect-hashing queries and/or membership queries, each operation…

Data Structures and Algorithms · Computer Science 2007-05-23 Erik D. Demaine , Friedhelm Meyer auf der Heide , Rasmus Pagh , Mihai Patrascu

A compressed self-index stores a string in compressed form while supporting locate queries without decompression. For highly repetitive strings (arising in web crawls, versioned documents, and genomic collections), static self-indexes can…

Data Structures and Algorithms · Computer Science 2026-04-29 Takaaki Nishimoto , Yasuo Tabei

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

In this work, we present a literature review for full-text and keyword indexes as well as our contributions (which are mostly practice-oriented). The first contribution is the FM-bloated index, which is a modification of the well-known…

Data Structures and Algorithms · Computer Science 2015-08-27 Aleksander Cisłak

We deal with the problem of maintaining the suffix tree indexing structure for a fully-online collection of multiple strings, where a new character can be prepended to any string in the collection at any time. The only previously known…

Data Structures and Algorithms · Computer Science 2020-05-05 Shunsuke Inenaga

We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient way. This problem has applications in e.g. information retrieval and…

Data Structures and Algorithms · Computer Science 2007-08-27 Philip Bille , Anna Pagh , Rasmus Pagh

Given a string $T$ on an alphabet of size $\sigma$, we describe a bidirectional Burrows-Wheeler index that takes $O(|T|\log{\sigma})$ bits of space, and that supports the addition \emph{and removal} of one character, on the left or right…

Data Structures and Algorithms · Computer Science 2019-06-11 Fabio Cunial , Djamal Belazzougui

In this paper, we propose a new \emph{dynamic compressed index} of $O(w)$ space for a dynamic text $T$, where $w = O(\min(z \log N \log^*M, N))$ is the size of the signature encoding of $T$, $z$ is the size of the Lempel-Ziv77 (LZ77)…

Data Structures and Algorithms · Computer Science 2016-07-20 Takaaki Nishimoto , Tomohiro I , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

We give a new successor data structure which improves upon the index size of the P\v{a}tra\c{s}cu-Thorup data structures, reducing the index size from $O(n w^{4/5})$ bits to $O(n \log w)$ bits, with optimal probe complexity. Alternatively,…

Data Structures and Algorithms · Computer Science 2013-06-18 Sarel Cohen , Amos Fiat , Moshik Hershcovitch , Haim Kaplan

Consider the problem of maintaining a family $F$ of dynamic sets subject to insertions, deletions, and set-intersection reporting queries: given $S,S'\in F$, report every member of $S\cap S'$ in any order. We show that in the word RAM…

Data Structures and Algorithms · Computer Science 2015-05-06 Tsvi Kopelowitz , Seth Pettie , Ely Porat

A realistic Chinese word segmentation tool must adapt to textual variations with minimal training input and yet robust enough to yield reliable segmentation result for all variants. Various lexicon-driven approaches to Chinese segmentation,…

Computation and Language · Computer Science 2019-05-22 Chu-Ren Huang , Ting-Shuo Yo , Petr Simon , Shu-Kai Hsieh

In the dynamic range mode problem, we are given a sequence $a$ of length bounded by $N$ and asked to support element insertion, deletion, and queries for the most frequent element of a contiguous subsequence of $a$. In this work, we devise…

Data Structures and Algorithms · Computer Science 2020-04-21 Bryce Sandlund , Yinzhan Xu

In this paper, we study the static cell probe complexity of non-adaptive data structures that maintain a subset of $n$ points from a universe consisting of $m=n^{1+\Omega(1)}$ points. A data structure is defined to be non-adaptive when the…

Data Structures and Algorithms · Computer Science 2024-04-19 Giuseppe Persiano , Kevin Yeo

We show how to construct a dynamic ordered dictionary, supporting insert/delete/rank/select on a set of $n$ elements from a universe of size $U$, that achieves the optimal amortized expected time complexity of $O(1 + \log n / \log \log U)$,…

Data Structures and Algorithms · Computer Science 2025-10-23 William Kuszmaul , Jingxun Liang , Renfei Zhou

Inspired by the recent success of deep neural networks and the recent efforts to develop multi-layer dictionary models, we propose a Deep Analysis dictionary Model (DeepAM) which is optimized to address a specific regression task known as…

Machine Learning · Statistics 2021-02-03 Jun-Jie Huang , Pier Luigi Dragotti

A dictionary data structure maintains a set of at most $n$ keys from the universe $[U]$ under key insertions and deletions, such that given a query $x \in [U]$, it returns if $x$ is in the set. Some variants also store values associated to…

Data Structures and Algorithms · Computer Science 2023-09-12 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

In a dynamic retrieval system, documents must be ingested as they arrive, and be immediately findable by queries. Our purpose in this paper is to describe an index structure and processing regime that accommodates that requirement for…

Information Retrieval · Computer Science 2023-01-12 Alistair Moffat , Joel Mackenzie