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The merging of succinct data structures is a well established technique for the space efficient construction of large succinct indexes. In the first part of the paper we propose a new algorithm for merging succinct representations of de…

Data Structures and Algorithms · Computer Science 2021-07-13 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini

Wavelet transforms, a powerful mathematical tool, have been widely used in different domains, including Signal and Image processing, to unravel intricate patterns, enhance data representation, and extract meaningful features from data.…

Computation and Language · Computer Science 2025-08-04 Rana Aref Salama , Abdou Youssef , Mona Diab

Logistics and transport are core of many industrial and business processes. One of the most promising segments in the field is optimisation of vehicle routes. Scientific effort is focused primarily on algorithms developed in simplified…

Optimization and Control · Mathematics 2024-03-08 Nikica Peric , Slaven Begovic , Vinko Lesic

Chinese word segmentation (CWS) is a fundamental task for Chinese language understanding. Recently, neural network-based models have attained superior performance in solving the in-domain CWS task. Last year, Bidirectional Encoder…

Computation and Language · Computer Science 2019-09-23 Haiqin Yang

Wheeler nondeterministic finite automata (WNFAs) were introduced as a generalization of prefix sorting from strings to labeled graphs. WNFAs admit optimal solutions to classic hard problems on labeled graphs and languages. The problem of…

Data Structures and Algorithms · Computer Science 2023-12-19 Ruben Becker , Manuel Cáceres , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Francisco Olivares , Nicola Prezza

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Despite the performance advantages of modern sampling-based motion planners, solving high dimensional planning problems in near real-time remains a challenge. Applications include hyper-redundant manipulators, snake-like and humanoid…

Robotics · Computer Science 2018-02-02 Marios P. Xanthidis , Joel M. Esposito , Ioannis Rekleitis , Jason M. O'Kane

Abbreviations and contractions are commonly found in text across different domains. For example, doctors' notes contain many contractions that can be personalized based on their choices. Existing spelling correction models are not suitable…

Computation and Language · Computer Science 2022-07-11 Prateek Kacker , Andi Cupallari , Aswin Gridhar Subramanian , Nimit Jain

A string matching -- and more generally, sequence matching -- algorithm is presented that has a linear worst-case computing time bound, a low worst-case bound on the number of comparisons (2n), and sublinear average-case behavior that is…

Data Structures and Algorithms · Computer Science 2008-10-02 David R. Musser , Gor V. Nishanov

Transformer architectures have achieved state-of-the-art results on a variety of sequence modeling tasks. However, their attention mechanism comes with a quadratic complexity in sequence lengths, making the computational overhead…

Computation and Language · Computer Science 2022-06-03 Hao Peng , Jungo Kasai , Nikolaos Pappas , Dani Yogatama , Zhaofeng Wu , Lingpeng Kong , Roy Schwartz , Noah A. Smith

Compressing large neural networks is an important step for their deployment in resource-constrained computational platforms. In this context, vector quantization is an appealing framework that expresses multiple parameters using a single…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Julieta Martinez , Jashan Shewakramani , Ting Wei Liu , Ioan Andrei Bârsan , Wenyuan Zeng , Raquel Urtasun

In Image Compression, the researchers' aim is to reduce the number of bits required to represent an image by removing the spatial and spectral redundancies. Recently discrete wavelet transform and wavelet packet has emerged as popular…

Computer Vision and Pattern Recognition · Computer Science 2010-04-20 G. K. Kharate , V. H. Patil

The ubiquitous Variable-Byte encoding is one of the fastest compressed representation for integer sequences. However, its compression ratio is usually not competitive with other more sophisticated encoders, especially when the integers to…

Information Retrieval · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Rossano Venturini

Compression algorithms reduce the redundancy in data representation to decrease the storage required for that data. Data compression offers an attractive approach to reducing communication costs by using available bandwidth effectively.…

Information Theory · Computer Science 2007-07-13 B. S. Shajee Mohan , V. K. Govindan

Path planning in robotics often requires finding high-quality solutions to continuously valued and/or high-dimensional problems. These problems are challenging and most planning algorithms instead solve simplified approximations. Popular…

Robotics · Computer Science 2020-04-20 Jonathan D. Gammell , Timothy D. Barfoot , Siddhartha S. Srinivasa

We evaluate the influence of different alphabet orderings on the Lyndon factorization of a string. Experiments with Pizza & Chili datasets show that for most alphabet reorderings, the number of Lyndon factors is usually small, and the…

Data Structures and Algorithms · Computer Science 2021-08-12 Marcelo K. Albertini , Felipe A. Louza

Data compression is a well-studied (and well-solved) problem in the setup of long coding blocks. But important emerging applications need to compress data to memory words of small fixed widths. This new setup is the subject of this paper.…

Information Theory · Computer Science 2017-01-12 Ori Rottenstreich , Yuval Cassuto

We propose an external memory algorithm for the computation of the BWT and LCP array for a collection of sequences. Our algorithm takes the amount of available memory as an input parameter, and tries to make the best use of it by splitting…

Data Structures and Algorithms · Computer Science 2020-09-10 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini , Guilherme P. Telles

Data compression plays an important role to deal with high volumes of DNA sequences in the field of Bioinformatics. Again data compression techniques directly affect the alignment of DNA sequences. So the time needed to decompress a…

Computational Engineering, Finance, and Science · Computer Science 2012-11-13 Subhankar Roy , Sunirmal Khatua , Sudipta Roy , Samir K. Bandyopadhyay

Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact…

Data Structures and Algorithms · Computer Science 2020-02-24 Carlos Quijada-Fuentes , Miguel R. Penabad , Susana Ladra , Gilberto Gutiérrez
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