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We consider the problem of dictionary matching in a stream. Given a set of strings, known as a dictionary, and a stream of characters arriving one at a time, the task is to report each time some string in our dictionary occurs in the…

Data Structures and Algorithms · Computer Science 2015-04-24 Raphael Clifford , Allyx Fontaine , Ely Porat , Benjamin Sach , Tatiana Starikovskaya

We study the following substring suffix selection problem: given a substring of a string T of length n, compute its k-th lexicographically smallest suffix. This a natural generalization of the well-known question of computing the maximal…

Data Structures and Algorithms · Computer Science 2013-09-24 Maxim Babenko , Paweł Gawrychowski , Tomasz Kociumaka , Tatiana Starikovskaya

We present results from a detailed numerical study of the small-scale and loop production properties of cosmic string networks, based on the largest and highest resolution string simulations to date. We investigate the non-trivial fractal…

Astrophysics · Physics 2008-11-26 C. J. A. P. Martins , E. P. S. Shellard

We deal with the problem of maintaining the suffix tree indexing structure for a fully-online collection of multiple strings, where a new character can be prepended to any string in the collection at any time. The only previously known…

Data Structures and Algorithms · Computer Science 2020-05-05 Shunsuke Inenaga

Frequent pattern mining is widely used to find ``important'' or ``interesting'' patterns in data. While it is not easy to mathematically define such patterns, maximal frequent patterns are promising candidates, as frequency is a natural…

Data Structures and Algorithms · Computer Science 2025-04-08 Giovanni Buzzega , Alessio Conte , Yasuaki Kobayashi , Kazuhiro Kurita , Giulia Punzi

We present an improved wavelet tree construction algorithm and discuss its applications to a number of rank/select problems for integer keys and strings. Given a string of length n over an alphabet of size $\sigma\leq n$, our method builds…

Data Structures and Algorithms · Computer Science 2015-05-18 Maxim Babenko , Paweł Gawrychowski , Tomasz Kociumaka , Tatiana Starikovskaya

Given a set of strings, the shortest common superstring problem is to find the shortest possible string that contains all the input strings. The problem is NP-hard, but a lot of work has gone into designing approximation algorithms for…

Data Structures and Algorithms · Computer Science 2019-12-04 Jarno Alanko , Tuukka Norri

A new field of research is rapidly expanding at the crossroad between statistical physics, information theory and combinatorial optimization. In particular, the use of cutting edge statistical physics concepts and methods allow one to solve…

Neurons and Cognition · Quantitative Biology 2008-03-28 Marc Mezard , Thierry Mora

Text detection in natural images is a challenging but necessary task for many applications. Existing approaches utilize large deep convolutional neural networks making it difficult to use them in real-world tasks. We propose a small yet…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Alexander Filonenko , Konstantin Gudkov , Aleksei Lebedev , Nikita Orlov , Ivan Zagaynov

A vast amount of textual data is added to the internet daily, making utilization and interpretation of such data difficult and cumbersome. As a result, automatic text summarization is crucial for extracting relevant information, saving…

Computation and Language · Computer Science 2024-10-10 Naman Chhibbar , Jugal Kalita

The compression of highly repetitive strings (i.e., strings with many repetitions) has been a central research topic in string processing, and quite a few compression methods for these strings have been proposed thus far. Among them, an…

Data Structures and Algorithms · Computer Science 2022-02-17 Takaaki Nishimoto , Shunsuke Kanda , Yasuo Tabei

Finding an Approximate Longest Common Substring (ALCS) within a given set $S=\{s_1,s_2,\ldots,s_m\}$ of $m \ge 2$ strings is a key problem in computational biology, such as identifying related mutations across multiple genetic sequences. We…

Data Structures and Algorithms · Computer Science 2025-09-22 Hamed Hasibi , Neerja Mhaskar , W. F. Smyth

Adaptations of features commonly applied in the field of visual computing, co-occurrence matrix (COM) and run-length matrix (RLM), are proposed for the similarity computation of strings in general (words, phrases, codes and texts). The…

Machine Learning · Computer Science 2026-05-15 E. O. Rodrigues , D. Casanova , M. Teixeira , V. Pegorini , F. Favarim , E. Clua , A. Conci , Panos Liatsis

The problem of dictionary matching is a classical problem in string matching: given a set S of d strings of total length n characters over an (not necessarily constant) alphabet of size sigma, build a data structure so that we can match in…

Data Structures and Algorithms · Computer Science 2015-05-18 Djamal Belazzougui

Complex network theory is used to investigate the structure of meaningful concepts in written texts of individual authors. Networks have been constructed after a two phase filtering, where words with less meaning contents are eliminated,…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Silvia M. G. Caldeira , Thierry C. Petit Lobao , R. F. S. Andrade , Alexis Neme , J. G. V. Miranda

Real-world data often comes in compressed form. Analyzing compressed data directly (without decompressing it) can save space and time by orders of magnitude. In this work, we focus on fundamental sequence comparison problems and try to…

Data Structures and Algorithms · Computer Science 2021-12-14 Arun Ganesh , Tomasz Kociumaka , Andrea Lincoln , Barna Saha

Term frequency is a common method for identifying the importance of a term in a query or document. But it is a weak signal, especially when the frequency distribution is flat, such as in long queries or short documents where the text is of…

Information Retrieval · Computer Science 2019-11-28 Zhuyun Dai , Jamie Callan

There are two methods for counting the number of occurrences of a string in another large string. One is to count the number of places where the string is found. The other is to determine how many pieces of string can be extracted without…

Data Structures and Algorithms · Computer Science 2022-11-09 Ayaka Takamoto , Mitsuo Yoshida , Kyoji Umemura

Patterns of word use both reflect and influence a myriad of human activities and interactions. Like other entities that are reproduced and evolve, words rise or decline depending upon a complex interplay between {their intrinsic properties…

Computation and Language · Computer Science 2011-06-06 Eduardo G. Altmann , Janet B. Pierrehumbert , Adilson E. Motter

Processing sequential data of variable length is a major challenge in a wide range of applications, such as speech recognition, language modeling, generative image modeling and machine translation. Here, we address this challenge by…

Neural and Evolutionary Computing · Computer Science 2017-06-13 Asier Mujika , Florian Meier , Angelika Steger