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Suffix trees are key and efficient data structure for solving string problems. A suffix tree is a compressed trie containing all the suffixes of a given text of length $n$ with a linear construction cost. In this work, we introduce an…

Data Structures and Algorithms · Computer Science 2024-06-04 Anas Al-okaily

We propose a simple linear-time on-line algorithm for constructing a position heap for a string [Ehrenfeucht et al, 2011]. Our definition of position heap differs slightly from the one proposed in [Ehrenfeucht et al, 2011] in that it…

Data Structures and Algorithms · Computer Science 2015-03-19 Gregory Kucherov

A suffix tree is able to efficiently locate a pattern in an indexed string, but not in general the most recent copy of the pattern in an online stream, which is desirable in some applications. We study the most general version of the…

Data Structures and Algorithms · Computer Science 2014-07-15 N. Jesper Larsson

First-order optimization (FOO) algorithms are pivotal in numerous computational domains such as machine learning and signal denoising. However, their application to complex tasks like neural network training often entails significant…

Machine Learning · Computer Science 2024-10-30 Yao Shu , Jiongfeng Fang , Ying Tiffany He , Fei Richard Yu

Regular expression matching is essential for many applications, such as finding patterns in text, exploring substrings in large DNA sequences, or lexical analysis. However, sequential regular expression matching may be time-prohibitive for…

Formal Languages and Automata Theory · Computer Science 2015-06-30 Suejb Memeti , Sabri Pllana

This EM review article focuses on parameter expansion, a simple technique introduced in the PX-EM algorithm to make EM converge faster while maintaining its simplicity and stability. The primary objective concerns the connection between…

Methodology · Statistics 2011-04-14 Andrew Lewandowski , Chuanhai Liu , Scott Vander Wiel

Estimated time of arrival (ETA) is a very important factor in the transportation system. It has attracted increasing attentions and has been widely used as a basic service in navigation systems and intelligent transportation systems. In…

Machine Learning · Computer Science 2024-07-02 YuRui Huang , Jie Zhang , HengDa Bao , Yang Yang , Jian Yang

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 consider an index data structure for similar strings. The generalized suffix tree can be a solution for this. The generalized suffix tree of two strings $A$ and $B$ is a compacted trie representing all suffixes in $A$ and $B$. It has…

Data Structures and Algorithms · Computer Science 2013-05-09 Joong Chae Na , Heejin Park , Maxime Crochemore , Jan Holub , Costas S. Iliopoulos , Laurent Mouchard , Kunsoo Park

In this paper we study the structure of suffix trees. Given an unlabeled tree $\tau$ on $n$ nodes and suffix links of its internal nodes, we ask the question "Is $\tau$ a suffix tree?", i.e., is there a string $S$ whose suffix tree has the…

Data Structures and Algorithms · Computer Science 2014-09-02 Tatiana Starikovskaya , Hjalte Wedel Vildhøj

Given two strings $T$ and $S$ and a set of strings $P$, for each string $p \in P$, consider the unique substrings of $T$ that have $p$ as their prefix and $S$ as their suffix. Two problems then come to mind; the first problem being the…

Data Structures and Algorithms · Computer Science 2022-04-19 Laurentius Leonard , Ken Tanaka

We present an approach to email filtering based on the suffix tree data structure. A method for the scoring of emails using the suffix tree is developed and a number of scoring and score normalisation functions are tested. Our results show…

Artificial Intelligence · Computer Science 2007-05-23 Rajesh M. Pampapathi , Boris Mirkin , Mark Levene

Since the release of human genome sequences, one of the most important research issues is about indexing the genome sequences, and the suffix tree is most widely adopted for that purpose. The traditional suffix tree construction algorithms…

Databases · Computer Science 2015-05-20 Woong-Kee Loh , Yang-Sae Moon , Wookey Lee

Autoregressive Language Models instantiate a factorized likelihood over token sequences, yet their strictly sequential decoding process imposes an intrinsic lower bound on inference latency. This bottleneck has emerged as a central obstacle…

Computation and Language · Computer Science 2025-09-30 Maxim Divilkovskiy , Vitaly Malygin , Sergey Zlobin , Stanislav Ilyushin , Sultan Isali , Vasily Kalugin , Nuriza Aitassova , Fei Yi , Weidi Zeng

Tree-based models have proven to be an effective solution for web ranking as well as other problems in diverse domains. This paper focuses on optimizing the runtime performance of applying such models to make predictions, given an…

Databases · Computer Science 2013-04-29 Nima Asadi , Jimmy Lin , Arjen P. de Vries

In spite of maturity to the modern electronic design automation (EDA) tools, optimized designs at architectural stage may become sub-optimal after going through physical design flow. Adder design has been such a long studied fundamental…

Hardware Architecture · Computer Science 2018-10-17 Yuzhe Ma , Subhendu Roy , Jin Miao , Jiamin Chen , Bei Yu

Tree kernels are fundamental tools that have been leveraged in many applications, particularly those based on machine learning for Natural Language Processing tasks. In this paper, we devise a parallel implementation of the sequential…

Computation and Language · Computer Science 2023-05-16 Souad Taouti , Hadda Cherroun , Djelloul Ziadi

While globally optimal empirical risk minimization (ERM) decision trees have become computationally feasible and empirically successful, rigorous theoretical guarantees for their statistical performance remain limited. In this work, we…

Machine Learning · Statistics 2026-03-17 Zineng Xu , Subhro Ghosh , Yan Shuo Tan

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"…

We consider a recently introduced class of network construction problems where edges of a transportation network need to be constructed by a server (construction crew). The server has a constant construction speed which is much lower than…

Artificial Intelligence · Computer Science 2020-07-08 Igor Averbakh , Jordi Pereira