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The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

Instrumentation and Methods for Astrophysics · Physics 2018-08-08 Roberto Vio , Paola Andreani

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 task of calculating similarities between strings held by different organizations without revealing these strings is an increasingly important problem in areas such as health informatics, national censuses, genomics, and fraud detection.…

Databases · Computer Science 2021-04-08 Sirintra Vaiwsri , Thilina Ranbaduge , Peter Christen , Kee Siong Ng

We propose a new alignment-free algorithm by constructing a compact vector representation on $\mathbb{R}^{24}$ of a DNA sequence of arbitrary length. Each component of this vector is obtained from a representative sequence, the elements of…

Data Structures and Algorithms · Computer Science 2024-09-27 Probir Mondal , Pratyay Banerjee , Debranjan Pal , Krishnendu Basuli

Pattern matching is the most central task for text indices. Most recent indices leverage compression techniques to make pattern matching feasible for massive but highly-compressible datasets. Within this kind of indices, we propose a new…

Data Structures and Algorithms · Computer Science 2021-05-31 Tooru Akagi , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

Data Structures and Algorithms · Computer Science 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

The problem of finding factors of a text string which are identical or similar to a given pattern string is a central problem in computer science. A generalised version of this problem consists in implementing an index over the text to…

Data Structures and Algorithms · Computer Science 2016-02-04 Carl Barton , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

Forced alignment (FA) predicts start and end timestamps for words or characters in speech, but existing methods are language-specific and prone to cumulative temporal shifts. The multilingual speech understanding and long-sequence…

Sound · Computer Science 2026-02-02 Bingshen Mu , Xian Shi , Xiong Wang , Hexin Liu , Jin Xu , Lei Xie

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

Data Structures and Algorithms · Computer Science 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

We first review how we can store a run-length compressed suffix array (RLCSA) for a text $T$ of length $n$ over an alphabet of size $\sigma$ whose Burrows-Wheeler Transform (BWT) consists of $r$ runs in $O \left( \rule{0ex}{2ex} r \log (n /…

Data Structures and Algorithms · Computer Science 2025-04-22 Nathaniel K. Brown , Travis Gagie , Giovanni Manzini , Gonzalo Navarro , Marinella Sciortino

In this paper, we propose a new type of array antenna, termed the Random Frequency Diverse Array (RFDA), for an uncoupled indication of target direction and range with low system complexity. In RFDA, each array element has a narrow…

Information Theory · Computer Science 2017-04-05 Yimin Liu , Hang Ruan , Lei Wang , Arye Nehorai

The rise of repetitive datasets has lately generated a lot of interest in compressed self-indexes based on dictionary compression, a rich and heterogeneous family that exploits text repetitions in different ways. For each such compression…

Data Structures and Algorithms · Computer Science 2020-12-17 Gonzalo Navarro , Nicola Prezza

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

Data Structures and Algorithms · Computer Science 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

Sound correspondence patterns form the basis of cognate detection and phonological reconstruction in historical language comparison. Methods for the automatic inference of correspondence patterns from phonetically aligned cognate sets have…

Computation and Language · Computer Science 2025-12-09 Frederic Blum , Johann-Mattis List

Next Generation Sequencing (NGS) platforms and, more generally, high-throughput technologies are giving rise to an exponential growth in the size of nucleotide sequence databases. Moreover, many emerging applications of nucleotide datasets…

Databases · Computer Science 2019-10-11 Ferdinando Montecuollo , Giovannni Schmid , Roberto Tagliaferri

Spaced seeds are important tools for similarity search in bioinformatics, and using several seeds together often significantly improves their performance. With existing approaches, however, for each seed we keep a separate linear-size data…

Data Structures and Algorithms · Computer Science 2014-03-11 Travis Gagie , Giovanni Manzini , Daniel Valenzuela

We introduce a compact pangenome representation based on an optimal segmentation concept that aims to reconstruct founder sequences from a multiple sequence alignment (MSA). Such founder sequences have the feature that each row of the MSA…

Data Structures and Algorithms · Computer Science 2020-05-20 Veli Mäkinen , Bastien Cazaux , Massimo Equi , Tuukka Norri , Alexandru I. Tomescu

Future wireless networks, deploying thousands of antenna elements, may operate in the radiative near-field (NF), enabling spatial multiplexing across both angle and range domains. Sparse arrays have the potential to achieve comparable…

Signal Processing · Electrical Eng. & Systems 2026-05-22 Ahmed Hussain , Asmaa Abdallah , Abdulkadir Celik , Emil Björnson , Ahmed M. Eltawil

We present a novel compressed dynamic self-index for highly repetitive text collections. Signature encoding is a compressed dynamic self-index for highly repetitive texts and has a large disadvantage that the pattern search for short…

Data Structures and Algorithms · Computer Science 2018-04-25 Takaaki Nishimoto , Yoshimasa Takabatake , Yasuo Tabei

This paper is an effort to evaluate the numerical indices for the assessment of the frequency response analysis (FRA) to provide a deeper understanding of their characteristics. The study introduces the indices in the literature and…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Reza Khalilisenobari , Javad Sadeh