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In this paper we present a new parsing algorithm for linear indexed grammars (LIGs) in the same spirit as the one described in (Vijay-Shanker and Weir, 1993) for tree adjoining grammars. For a LIG $L$ and an input string $x$ of length $n$,…

cmp-lg · Computer Science 2008-02-03 Pierre Boullier

The Cartesian-tree pattern matching is a recently introduced scheme of pattern matching that detects fragments in a sequential data stream which have a similar structure as a query pattern. Formally, Cartesian-tree pattern matching seeks…

Data Structures and Algorithms · Computer Science 2021-08-17 Akio Nishimoto , Noriki Fujisato , Yuto Nakashima , Shunsuke Inenaga

Relative Lempel-Ziv (RLZ) parsing is a dictionary compression method in which a string $S$ is compressed relative to a second string $R$ (called the reference) by parsing $S$ into a sequence of substrings that occur in $R$. RLZ is…

Data Structures and Algorithms · Computer Science 2022-08-25 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

A Batch Private Information Retrieval (batch-PIR) scheme allows a client to retrieve multiple data items from a database without revealing them to the storage server(s). Most existing approaches for batch-PIR are based on batch codes, in…

Data Structures and Algorithms · Computer Science 2024-06-05 Son Hoang Dau , Quang Cao , Rinaldo Gagiano , Duy Huynh , Xun Yi , Phuc Lu Le , Quang-Hung Luu , Emanuele Viterbo , Yu-Chih Huang , Jingge Zhu , Mohammad M. Jalalzai , Chen Feng

We propose a new outline for adaptive dictionary learning methods for sparse encoding based on a hierarchical clustering of the training data. Through recursive application of a clustering method, the data is organized into a binary…

Machine Learning · Computer Science 2020-06-11 Renato Budinich , Gerlind Plonka

Computing time is becoming a key issue for tracking algorithms both online and off-line. Programming using adequate data structures can largely improve the efficiency of the reconstruction in terms of time response. We propose using one…

The chain-structured long short-term memory (LSTM) has showed to be effective in a wide range of problems such as speech recognition and machine translation. In this paper, we propose to extend it to tree structures, in which a memory cell…

Computation and Language · Computer Science 2015-03-18 Xiaodan Zhu , Parinaz Sobhani , Hongyu Guo

Property graphs often contain tree-shaped substructures, yet they are not captured by existing proposals for graph schemas; likewise, query languages and query engines offer little-to-no native support for managing them systematically. As a…

This paper studies the performances of BERT combined with tree structure in short sentence ranking task. In retrieval-based question answering system, we retrieve the most similar question of the query question by ranking all the questions…

Computation and Language · Computer Science 2019-09-09 Tong Guo , Huilin Gao

We design the first learned index that solves the dictionary problem with time and space complexity provably better than classic data structures for hierarchical memories, such as B-trees, and modern learned indexes. We call our solution…

Data Structures and Algorithms · Computer Science 2019-03-12 Giorgio Vinciguerra , Paolo Ferragina , Michele Miccinesi

We present a new efficient method for approximate search in electronic lexica. Given an input string (the pattern) and a similarity threshold, the algorithm retrieves all entries of the lexicon that are sufficiently similar to the pattern.…

Computation and Language · Computer Science 2015-12-04 Stefan Gerdjikov , Stoyan Mihov , Petar Mitankin , Klaus U. Schulz

We give algorithms that, given a straight-line program (SLP) with $g$ rules that generates (only) a text $T [1..n]$, builds within $O(g)$ space the Lempel-Ziv (LZ) parse of $T$ (of $z$ phrases) in time $O(n\log^2 n)$ or in time…

Data Structures and Algorithms · Computer Science 2023-10-11 Travis Gagie , Adrián Goga , Artur Jeż , Gonzalo Navarro

Language models generate reasoning sequentially, preventing them from decoupling irrelevant exploration paths during search. We introduce Tree-Structured Language Modeling (TSLM), which uses special tokens to encode branching structure,…

Computation and Language · Computer Science 2026-02-02 Doyoung Kim , Jaehyeok Doo , Minjoon Seo

We propose a new linear-size data structure which provides a fast access to all palindromic substrings of a string or a set of strings. This structure inherits some ideas from the construction of both the suffix trie and suffix tree. Using…

Data Structures and Algorithms · Computer Science 2015-08-18 Mikhail Rubinchik , Arseny M. Shur

Much research has been devoted to optimizing algorithms of the Lempel-Ziv (LZ) 77 family, both in terms of speed and memory requirements. Binary search trees and suffix trees (ST) are data structures that have been often used for this…

Data Structures and Algorithms · Computer Science 2016-11-17 Artur Ferreira , Arlindo Oliveira , Mario Figueiredo

In this paper we propose a novel reinforcement learning based model for sequence tagging, referred to as MM-Tag. Inspired by the success and methodology of the AlphaGo Zero, MM-Tag formalizes the problem of sequence tagging with a Monte…

Computation and Language · Computer Science 2018-05-21 Yadi Lao , Jun Xu , Yanyan Lan , Jiafeng Guo , Sheng Gao , Xueqi Cheng

We introduce a new metric of match, called Cartesian tree matching, which means that two strings match if they have the same Cartesian trees. Based on Cartesian tree matching, we define single pattern matching for a text of length n and a…

Data Structures and Algorithms · Computer Science 2019-05-23 Sung Gwan Park , Amihood Amir , Gad M. Landau , Kunsoo Park

We revisit the complexity of building, given a two-dimensional string of size $n$, an indexing structure that allows locating all $k$ occurrences of a two-dimensional pattern of size $m$. While a structure of size $\mathcal{O}(n)$ with…

Data Structures and Algorithms · Computer Science 2025-08-26 Paweł Gawrychowski , Adam Górkiewicz

We face a need of discovering a pattern in locations of a great number of points in a high-dimensional space. Goal is to group the close points together. We are interested in a hierarchical structure, like a B-tree. B-Trees are…

Data Structures and Algorithms · Computer Science 2016-07-19 Victor Sadikov , Oliver Rutishauser

A compressed full-text self-index occupies space close to that of the compressed text and simultaneously allows fast pattern matching and random access to the underlying text. Among the best compressed self-indexes, in theory and in…

Data Structures and Algorithms · Computer Science 2011-04-20 Juha Kärkkäinen , Simon J. Puglisi
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