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We study 4 problems in string matching, namely, regular expression matching, approximate regular expression matching, string edit distance, and subsequence indexing, on a standard word RAM model of computation that allows logarithmic-sized…

Data Structures and Algorithms · Computer Science 2008-09-22 Philip Bille , Martin Farach-Colton

We propose a new indexing structure for parameterized strings, called parameterized position heap. Parameterized position heap is applicable for parameterized pattern matching problem, where the pattern matches a substring of the text if…

Data Structures and Algorithms · Computer Science 2017-04-19 Diptarama , Takashi Katsura , Yuhei Otomo , Kazuyuki Narisawa , Ayumi Shinohara

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

Optimization and Control · Mathematics 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

In many real-world database systems, a large fraction of the data is represented by strings: sequences of letters over some alphabet. This is because strings can easily encode data arising from different sources. It is often crucial to…

Data Structures and Algorithms · Computer Science 2024-07-17 Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis

In this paper we consider a step function characterized by an arbitrary sequence of real-valued scalars and approximate it with a matching pursuit (MP) algorithm. We utilize a waveform dictionary with rectangular window functions as part of…

Functional Analysis · Mathematics 2022-10-05 Jorge Andres Rivero , Pierluigi Vellucci

We investigate the classes of functions whose minimization diagrams can be approximated efficiently in \Re^d. We present a general framework and a data-structure that can be used to approximate the minimization diagram of such functions.…

Computational Geometry · Computer Science 2013-04-03 Sariel Har-Peled , Nirman Kumar

Although Dijkstra's algorithm has near-optimal time complexity for the problem of finding a shortest path from a given vertex $s$ to a given vertex $t$, in practice other algorithms are often superior on huge graphs. A prominent example is…

Data Structures and Algorithms · Computer Science 2025-06-16 Bernhard Haeupler , Richard Hladík , Vaclav Rozhon , Robert E. Tarjan , Jakub Tětek

Safe and economic operation of networked systems is often challenging. Optimization-based schemes are frequently considered, since they achieve near-optimality while ensuring safety via the explicit consideration of constraints. In…

Optimization and Control · Mathematics 2024-01-30 Alexander Engelmann , Maisa B. Bandeira , Timm Faulwasser

Recently there emerge many distributed algorithms that aim at solving subgraph matching at scale. Existing algorithm-level comparisons failed to provide a systematic view to the pros and cons of each algorithm mainly due to the intertwining…

With the surging popularity of approximate near-neighbor search (ANNS), driven by advances in neural representation learning, the ability to serve queries accompanied by a set of constraints has become an area of intense interest. While the…

Information Retrieval · Computer Science 2023-08-30 Gaurav Gupta , Jonah Yi , Benjamin Coleman , Chen Luo , Vihan Lakshman , Anshumali Shrivastava

Suppose we know that an object is in a sorted table and we want to determine the index of that object. To achieve this goal we could perform a binary search. However, suppose it is time-consuming to determine the relative position of that…

Data Structures and Algorithms · Computer Science 2017-11-07 Haoze Wu

In this paper, we propose an approximate Bayesian computation approach to perform a multiple target tracking within a binary sensor network. The nature of the binary sensors (getting closer - moving away information) do not allow the use of…

Systems and Control · Computer Science 2014-10-17 Adrien Ickowicz

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

Column-sparse packing problems arise in several contexts in both deterministic and stochastic discrete optimization. We present two unifying ideas, (non-uniform) attenuation and multiple-chance algorithms, to obtain improved approximation…

Data Structures and Algorithms · Computer Science 2019-08-07 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

We describe indexes for searching large data sets for variable-length-gapped (VLG) patterns. VLG patterns are composed of two or more subpatterns, between each adjacent pair of which is a gap-constraint specifying upper and lower bounds on…

Data Structures and Algorithms · Computer Science 2020-03-02 Manuel Cáceres , Simon J. Puglisi , Bella Zhukova

We demonstrate that a graph-based search algorithm-relying on the construction of an approximate neighborhood graph-can directly work with challenging non-metric and/or non-symmetric distances without resorting to metric-space mapping…

Information Retrieval · Computer Science 2019-10-09 Leonid Boytsov , Eric Nyberg

The importance of an efficient and scalable document similarity detection system is undeniable nowadays. Search engines need batch text similarity measures to detect duplicated and near-duplicated web pages in their indexes in order to…

Information Retrieval · Computer Science 2018-10-09 Hamid Mohammadi , Amin Nikoukaran

Traditional retrieval methods have been essential for assessing document similarity but struggle with capturing semantic nuances. Despite advancements in latent semantic analysis (LSA) and deep learning, achieving comprehensive semantic…

Information Retrieval · Computer Science 2024-09-27 Solmaz Seyed Monir , Irene Lau , Shubing Yang , Dongfang Zhao

In this paper, we explore and evaluate the use of ranking-based objective functions for learning simultaneously a word string and a word image encoder. We consider retrieval frameworks in which the user expects a retrieval list ranked…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Pau Riba , Adrià Molina , Lluis Gomez , Oriol Ramos-Terrades , Josep Lladós

Schema matching is the process of identifying correspondences between the elements of two given schemata, essential for database management systems, data integration, and data warehousing. For datasets across different scenarios, the…

Databases · Computer Science 2025-03-07 Longyu Feng , Huahang Li , Chen Jason Zhang