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Multi-intent natural language understanding requires retrieval systems that simultaneously achieve high accuracy and computational efficiency, yet existing approaches apply either uniform single-step retrieval that compromises recall or…

Artificial Intelligence · Computer Science 2026-04-28 Hee-Kyong Yoo , Wonbae Kim , Hyocheol Ahn

Cartesian tree matching is the problem of finding all substrings of a given text which have the same Cartesian trees as that of a given pattern. So far there is one linear-time solution for Cartesian tree matching, which is based on the KMP…

Data Structures and Algorithms · Computer Science 2019-08-15 Siwoo Song , Cheol Ryu , Simone Faro , Thierry Lecroq , Kunsoo Park

Cartesian tree pattern matching consists of finding all the factors of a text that have the same Cartesian tree than a given pattern. There already exist theoretical and practical solutions for the exact case. In this paper, we propose the…

Data Structures and Algorithms · Computer Science 2025-05-15 Bastien Auvray , Julien David , Samah Ghazawi , Richard Groult , Gad M. Landau , Thierry Lecroq

We study the design of efficient algorithms for combinatorial pattern matching. More concretely, we study algorithms for tree matching, string matching, and string matching in compressed texts.

Data Structures and Algorithms · Computer Science 2007-09-03 Philip Bille

In this paper, we introduce the notion of Cartesian Forest, which generalizes Cartesian Trees, in order to deal with partially ordered sequences. We show that algorithms that solve both exact and approximate Cartesian Tree Matching can be…

Data Structures and Algorithms · Computer Science 2025-10-20 Bastien Auvray , Julien David , Richard Groult , Thierry Lecroq

Interpretability is crucial for doctors, hospitals, pharmaceutical companies and biotechnology corporations to analyze and make decisions for high stakes problems that involve human health. Tree-based methods have been widely adopted for…

Machine Learning · Computer Science 2024-05-24 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

Many tasks in natural language processing, ranging from machine translation to question answering, can be reduced to the problem of matching two sentences or more generally two short texts. We propose a new approach to the problem, called…

Computation and Language · Computer Science 2015-06-15 Mingxuan Wang , Zhengdong Lu , Hang Li , Qun Liu

Tree matching techniques have been investigated in many fields, including web data mining and extraction, as a key component to analyze the content of web documents, existing tree matching approaches, like Tree-Edit Distance (TED) or…

Databases · Computer Science 2024-06-28 Sacha Brisset , Romain Rouvoy , Renaud Pawlak , Lionel Seinturier

The dictionary matching problem is to locate occurrences of any pattern among a set of patterns in a given text. Massive data sets abound and at the same time, there are many settings in which working space is extremely limited. We…

Data Structures and Algorithms · Computer Science 2013-01-29 Shoshana Marcus Dina Sokol

The automated recognition of algorithm implementations can support many software maintenance and re-engineering activities by providing knowledge about the concerns present in the code base. Moreover, recognizing inefficient algorithms like…

Software Engineering · Computer Science 2026-05-08 Denis Neumüller , Florian Sihler , Raphael Straub , Matthias Tichy

Error Tree is a novel tree structure that is mainly oriented to solve the approximate pattern matching problems, Hamming and edit distances, as well as the wildcards matching problem. The input is a text of length $n$ over a fixed alphabet…

Data Structures and Algorithms · Computer Science 2020-08-25 Anas Al-Okaily

Self-adjusting data structures are a classic approach to adapting the complexity of operations to the data access distribution. While several self-adjusting variants are known for both binary search trees and B-Trees, existing constructions…

Data Structures and Algorithms · Computer Science 2023-10-10 Alexander Slastin , Dan Alistarh , Vitaly Aksenov

Prediction suffix trees (PST) provide an effective tool for sequence modelling and prediction. Current prediction techniques for PSTs rely on exact matching between the suffix of the current sequence and the previously observed sequence. We…

Machine Learning · Computer Science 2018-08-08 Dongwoo Kim , Christian Walder

Tree ensembles, such as random forest and boosted trees, are renowned for their high prediction performance, whereas their interpretability is critically limited. In this paper, we propose a post processing method that improves the model…

Machine Learning · Statistics 2016-06-20 Satoshi Hara , Kohei Hayashi

We present an online algorithm to deal with pattern matching in strings. The problem we investigate is commonly known as string matching with mismatches in which the objective is to report the number of characters that match when a pattern…

Data Structures and Algorithms · Computer Science 2016-03-11 Vinodprasad P

The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

Searching for all occurrences of a pattern in a text is a fundamental problem in computer science with applications in many other fields, like natural language processing, information retrieval and computational biology. Sampled string…

Data Structures and Algorithms · Computer Science 2019-08-19 Simone Faro , Arianna Pavone , Francesco Pio Marino

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

Sparse decision tree optimization has been one of the most fundamental problems in AI since its inception and is a challenge at the core of interpretable machine learning. Sparse decision tree optimization is computationally hard, and…

Machine Learning · Computer Science 2022-07-07 Hayden McTavish , Chudi Zhong , Reto Achermann , Ilias Karimalis , Jacques Chen , Cynthia Rudin , Margo Seltzer
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