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Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

We consider compact representations of collections of similar strings that support random access queries. The collection of strings is given by a rooted tree where edges are labeled by an edit operation (inserting, deleting, or replacing a…

Data Structures and Algorithms · Computer Science 2021-02-12 Philip Bille , Inge Li Gørtz

We consider a class of pattern matching problems where a normalising transformation is applied at every alignment. Normalised pattern matching plays a key role in fields as diverse as image processing and musical information processing…

Data Structures and Algorithms · Computer Science 2015-03-19 Ayelet Butman , Peter Clifford , Raphael Clifford , Markus Jalsenius , Noa Lewenstein , Benny Porat , Ely Porat , Benjamin Sach

An arc-annotated string is a string of characters, called bases, augmented with a set of pairs, called arcs, each connecting two bases. Given arc-annotated strings $P$ and $Q$ the arc-preserving subsequence problem is to determine if $P$…

Data Structures and Algorithms · Computer Science 2010-09-09 Philip Bille , Inge Li Goertz

Constrained sequential pattern mining aims at identifying frequent patterns on a sequential database of items while observing constraints defined over the item attributes. We introduce novel techniques for constraint-based sequential…

Machine Learning · Computer Science 2019-01-01 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

One of the most powerful techniques to study protein structures is to look for recurrent fragments (also called substructures or spatial motifs), then use them as patterns to characterize the proteins under study. An emergent trend consists…

Computational Engineering, Finance, and Science · Computer Science 2018-03-02 Wajdi Dhifli , Rabie Saidi , Engelbert Mephu Nguifo

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

Modeling the localized intensive deformation in a damaged solid requires highly refined discretization for accurate prediction, which significantly increases the computational cost. Although adaptive model refinement can be employed for…

Computational Engineering, Finance, and Science · Computer Science 2022-05-18 Jonghyuk Baek , Jiun-Shyan Chen , Kristen Susuki

The text-to-pattern Hamming distances problem asks to compute the Hamming distances between a given pattern of length $m$ and all length-$m$ substrings of a given text of length $n\ge m$. We focus on the $k$-mismatch version of the problem,…

Data Structures and Algorithms · Computer Science 2022-03-30 Raphaël Clifford , Paweł Gawrychowski , Tomasz Kociumaka , Daniel P. Martin , Przemysław Uznański

Mining frequent sequential patterns from sequence databases has been a central research topic in data mining and various efficient mining sequential patterns algorithms have been proposed and studied. Recently, in many problem domains (e.g,…

Databases · Computer Science 2009-06-05 Yongxin Tong , Li Zhao , Dan Yu , Shilong Ma , Ke Xu

The binary string matching problem consists in finding all the occurrences of a pattern in a text where both strings are built on a binary alphabet. This is an interesting problem in computer science, since binary data are omnipresent in…

Data Structures and Algorithms · Computer Science 2008-10-15 Simone Faro , Thierry Lecroq

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

In the $(k,m)$-mappability problem, for a given sequence $T$ of length $n$, the goal is to compute a table whose $i$th entry is the number of indices $j \ne i$ such that the length-$m$ substrings of $T$ starting at positions $i$ and $j$…

Data Structures and Algorithms · Computer Science 2021-06-18 Panagiotis Charalampopoulos , Costas S. Iliopoulos , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski , Juliusz Straszyński

The process of data mining produces various patterns from a given data source. The most recognized data mining tasks are the process of discovering frequent itemsets, frequent sequential patterns, frequent sequential rules and frequent…

Databases · Computer Science 2014-02-13 Thabet Slimani , Amor Lazzez

We study the counting problem known as #PPM, whose input is a pair of permutations $\pi$ and $\tau$ (called pattern and text, respectively), and the task is to find the number of subsequences of $\tau$ that have the same relative order as…

Computational Complexity · Computer Science 2021-11-08 Vít Jelínek , Michal Opler , Jakub Pekárek

Recurrent Neural Networks (RNN) have obtained excellent result in many natural language processing (NLP) tasks. However, understanding and interpreting the source of this success remains a challenge. In this paper, we propose Recurrent…

Computation and Language · Computer Science 2016-04-25 Ke Tran , Arianna Bisazza , Christof Monz

Spiking Neural Networks (SNNs) as Machine Learning (ML) models have recently received a lot of attention as a potentially more energy-efficient alternative to conventional Artificial Neural Networks. The non-differentiability and sparsity…

Machine Learning · Computer Science 2025-12-05 Maximilian Gollwitzer , Felix Dietrich

Strings in the real world are often encoded with some level of uncertainty. In the character-level uncertainty model, an uncertain string $X$ of length $n$ on an alphabet $\Sigma$ is a sequence of $n$ probability distributions over…

Data Structures and Algorithms · Computer Science 2024-03-22 Esteban Gabory , Chang Liu , Grigorios Loukides , Solon P. Pissis , Wiktor Zuba

The order preserving pattern matching (OPPM) problem is, given a pattern string $p$ and a text string $t$, find all substrings of $t$ which have the same relative orders as $p$. In this paper, we consider two variants of the OPPM problem…

Data Structures and Algorithms · Computer Science 2017-07-26 Temma Nakamura , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Given strings $P$ and $Q$ the (exact) string matching problem is to find all positions of substrings in $Q$ matching $P$. The classical Knuth-Morris-Pratt algorithm [SIAM J. Comput., 1977] solves the string matching problem in linear time…

Data Structures and Algorithms · Computer Science 2010-09-08 Philip Bille
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