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We introduce a new family of compressed data structures to efficiently store and query large string dictionaries in main memory. Our main technique is a combination of hierarchical Front-coding with ideas from longest-common-prefix…

Data Structures and Algorithms · Computer Science 2019-11-20 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Gonzalo Navarro

In a \emph{weighted sequence}, for every position of the sequence and every letter of the alphabet a probability of occurrence of this letter at this position is specified. Weighted sequences are commonly used to represent imprecise or…

Data Structures and Algorithms · Computer Science 2017-08-28 Carl Barton , Tomasz Kociumaka , Chang Liu , Solon P. Pissis , Jakub Radoszewski

This work investigates the ``small-vs-large gap'', where repeating on fewer samples can lead to compute saving during training compared to using a larger dataset. This is observed across algorithmic tasks, architectures and optimizers and…

Machine Learning · Computer Science 2026-05-21 Jingwen Liu , Ezra Edelman , Surbhi Goel , Bingbin Liu

We investigate the following problem: given a sample of classified strings, find a first-order sentence of minimal quantifier rank that is consistent with the sample. We represent strings as successor string structures, that is, finite…

Logic in Computer Science · Computer Science 2018-09-11 Thiago Alves Rocha , Ana Teresa Martins , Francicleber Martins Ferreira

Text indexing is a classical algorithmic problem that has been studied for over four decades: given a text $T$, pre-process it off-line so that, later, we can quickly count and locate the occurrences of any string (the query pattern) in $T$…

Data Structures and Algorithms · Computer Science 2020-12-15 Nicola Prezza

The problem of Text Indexing is a fundamental algorithmic problem in which one wishes to preprocess a text in order to quickly locate pattern queries within the text. In the ever evolving world of dynamic and on-line data, there is also a…

Data Structures and Algorithms · Computer Science 2012-08-21 Tsvi Kopelowitz

We study the problems of finding a shortest synchronizing word and its length for a given prefix code. This is done in two different settings: when the code is defined by an arbitrary decoder recognizing its star and when the code is…

Formal Languages and Automata Theory · Computer Science 2018-06-19 Andrew Ryzhikov , Marek Szykuła

This paper presents novel prompting techniques to improve the performance of automatic summarization systems for scientific articles. Scientific article summarization is highly challenging due to the length and complexity of these…

Computation and Language · Computer Science 2023-12-18 Aldan Creo , Manuel Lama , Juan C. Vidal

Early stopping is a well known approach to reduce the time complexity for performing training and model selection of large scale learning machines. On the other hand, memory/space (rather than time) complexity is the main constraint in many…

Machine Learning · Statistics 2018-02-02 Tomas Angles , Raffaello Camoriano , Alessandro Rudi , Lorenzo Rosasco

In solving a linear system with iterative methods, one is usually confronted with the dilemma of having to choose between cheap, inefficient iterates over sparse search directions (e.g., coordinate descent), or expensive iterates in…

Numerical Analysis · Computer Science 2019-08-07 Michael T. Schaub , Maguy Trefois , Paul Van Dooren , Jean-Charles Delvenne

Acronyms are abbreviated units of a phrase constructed by using initial components of the phrase in a text. Automatic extraction of acronyms from a text can help various Natural Language Processing tasks like machine translation,…

Computation and Language · Computer Science 2022-01-11 Prashant Sharma , Hadeel Saadany , Leonardo Zilio , Diptesh Kanojia , Constantin Orăsan

A scanning pixel camera is a novel low-cost, low-power sensor that is not diffraction limited. It produces data as a sequence of samples extracted from various parts of the scene during the course of a scan. It can provide very detailed…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yusuf Duman , Jean-Yves Guillemaut , Simon Hadfield

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

We propose a fast greedy algorithm to compute sparse representations of signals from continuous dictionaries that are factorizable, i.e., with atoms that can be separated as a product of sub-atoms. Existing algorithms strongly reduce the…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Gilles Monnoyer de Galland , Luc Vandendorpe , Laurent Jacques

A weighted string over an alphabet of size $\sigma$ is a string in which a set of letters may occur at each position with respective occurrence probabilities. Weighted strings, also known as position weight matrices or uncertain sequences,…

Data Structures and Algorithms · Computer Science 2015-12-09 Carl Barton , Chang Liu , Solon P. Pissis

The ability to cheaply train text classifiers is critical to their use in information retrieval, content analysis, natural language processing, and other tasks involving data which is partly or fully textual. An algorithm for sequential…

cmp-lg · Computer Science 2008-02-03 David D. Lewis , William A. Gale

Recent sequential pattern mining methods have used the minimum description length (MDL) principle to define an encoding scheme which describes an algorithm for mining the most compressing patterns in a database. We present a novel…

Machine Learning · Statistics 2016-11-14 Jaroslav Fowkes , Charles Sutton

Pattern sampling has been proposed as a potential solution to the infamous pattern explosion. Instead of enumerating all patterns that satisfy the constraints, individual patterns are sampled proportional to a given quality measure. Several…

Artificial Intelligence · Computer Science 2017-03-30 Vladimir Dzyuba , Matthijs van Leeuwen , Luc De Raedt

The well-known dictionary-based algorithms of the Lempel-Ziv (LZ) 77 family are the basis of several universal lossless compression techniques. These algorithms are asymmetric regarding encoding/decoding time and memory requirements, with…

Data Structures and Algorithms · Computer Science 2009-12-31 Artur Ferreira , Arlindo Oliveira , Mario Figueiredo

Deep dictionary learning seeks multiple dictionaries at different image scales to capture complementary coherent characteristics. We propose a method for learning a hierarchy of synthesis dictionaries with an image classification goal. The…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Shahin Mahdizadehaghdam , Ashkan Panahi , Hamid Krim , Liyi Dai