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Deterministic Sparse Suffix Sorting in the Restore Model [article]

Johannes Fischer, Tomohiro I, Dominik Köppl
2018 arXiv   pre-print
Given a text T of length n, we propose a deterministic online algorithm computing the sparse suffix array and the sparse longest common prefix array of T in O(c √( n) + m m n ^* n) time with O(m) words  ...  of space under the premise that the space of T is rewritable, where m < n is the number of suffixes to be sorted (provided online and arbitrarily), and c is the number of characters with m < c < n that  ...  Sparse Suffix Sorting The sparse suffix sorting problem asks for the order of suffixes starting at certain positions in a text T .  ... 
arXiv:1509.07417v2 fatcat:bxdekvob7bcmxkmyfo3ktaauki

Optimal Substring-Equality Queries with Applications to Sparse Text Indexing [article]

Nicola Prezza
2020 arXiv   pre-print
In particular, we describe the first in-place subquadratic Monte Carlo solutions to the sparse suffix sorting, sparse LCP array construction, and suffix selection problems.  ...  This leads to the first Las Vegas in-place algorithm computing the full LCP array in O(nlog n) time and to the first Las Vegas in-place algorithms solving the sparse suffix sorting and sparse LCP array  ...  Acknowledgements I would like to thank the anonymous reviewers: their observations greatly improved the presentation of the results, as well as some of the results themselves (in particular, w.h.p. time  ... 
arXiv:1803.01723v2 fatcat:y375kzudnjfb7n3hj6s7zf4ajq

In-Place Sparse Suffix Sorting [article]

Nicola Prezza
2017 arXiv   pre-print
Such information can be stored space-efficiently (in b words) in the sparse suffix array (SSA).  ...  The main reason for using the SSA and SLCP arrays in place of the sparse suffix tree is, however, their reduced space of b words each.  ...  Our LCE structure can be directly used to solve in-place the sparse suffix sorting problem.  ... 
arXiv:1608.05100v11 fatcat:r77zezc7xnexxnnw63uuvwjh34

Sparse Suffix Tree Construction in Optimal Time and Space [article]

Paweł Gawrychowski, Tomasz Kociumaka
2016 arXiv   pre-print
In some applications, we work with a subset of b interesting suffixes, which are stored in the so-called sparse suffix tree.  ...  We improve this structure, which implies a linear-time sparse suffix tree construction algorithm. We complement our Monte Carlo algorithm with a deterministic verification procedure.  ...  [12] gave an O(n √ log n + b log b log n log * n)-time and O(b)-space deterministic algorithm in a stronger model of rewritable text which needs to be restored before termination.  ... 
arXiv:1608.00865v1 fatcat:cwarx7dxxncn5fcgpuwejardmu

Parallel external memory graph algorithms

Lars Arge, Michael T. Goodrich, Nodari Sitchinava
2010 2010 IEEE International Symposium on Parallel & Distributed Processing (IPDPS)  
In this paper, we study parallel I/O efficient graph algorithms in the Parallel External Memory (PEM) model, one of the private-cache chip multiprocessor (CMP) models.  ...  All our solutions on a P -processor PEM model provide an optimal speedup of Θ(P ) in parallel I/O complexity and parallel computation time, compared to the single-processor external memory counterparts  ...  Acknowledgments We would like to thank Deepak Ajwani for helpful comments in improving the presentation of the ideas in this manuscript.  ... 
doi:10.1109/ipdps.2010.5470440 dblp:conf/ipps/ArgeGS10 fatcat:ul3phtd5prawdilrojj3mommjm

Optimized sparse polynomial chaos expansion with entropy regularization

Sijie Zeng, Xiaojun Duan, Jiangtao Chen, Liang Yan
2022 Advances in Aerodynamics  
A novel entropy-based optimization method is proposed to update the state-of-the-art sparse PCE models.  ...  This work further develops an entropy-based synthetic sparse model, which has higher computational efficiency.  ...  In addition, we are grateful to Mingze Qi for his constructive suggestion about paper writing and organization. Authors' contributions All authors read and approved the final manuscript.  ... 
doi:10.1186/s42774-021-00095-6 fatcat:d466kezf3fgyrkmpkkcgc6gdda

Deterministic sorting in nearly logarithmic time on the hypercube and related computers

Robert Cypher, C.Greg Plaxton
1993 Journal of computer and system sciences (Print)  
In contrast, this work is the first to narrow the gap in terms of worst case, deterministic complexity.  ...  The planning stage first performs a sparse enumeration sort to calculate the sorted positions of the records in a single level of C.  ... 
doi:10.1016/0022-0000(93)90043-v fatcat:nee44zemwffz3hy34zerczv4qq

Algorithms and Data Structures for External Memory

Jeffrey Scott Vitter
2006 Foundations and Trends® in Theoretical Computer Science  
in order to reduce the I/O costs.  ...  The problem domains considered include sorting, permuting, FFT, scientific computing, computational geometry, graphs, databases, geographic information systems, and text and string processing.  ...  is restored.  ... 
doi:10.1561/0400000014 fatcat:bkfchugd4fbjvcu5zipnh23k6e

Dynamic Packed Compact Tries Revisited [article]

Kazuya Tsuruta and Dominik Köppl and Shunsuke Kanda and Yuto Nakashima and Shunsuke Inenaga and Hideo Bannai and Masayuki Takeda
2019 arXiv   pre-print
It supports all operations in O(m / α + α) expected time on an input string of length m in the word RAM model.  ...  Under the assumption that α = w/ σ characters fit into a single machine word of w bits, we propose a keyword dictionary that represents K in either n σ + Θ(k n) or |T| σ + Θ(k w) bits of space, where |  ...  Also, with delete and insert operations, one can efficiently maintain the sparse suffix tree [24] for a dynamic set of suffixes to index.  ... 
arXiv:1904.07467v2 fatcat:7fic6poagbgshjtnxrlsiv2hji

Correcting Diacritics and Typos with a ByT5 Transformer Model

Lukas Stankevičius, Mantas Lukoševičius, Jurgita Kapočiūtė-Dzikienė, Monika Briedienė, Tomas Krilavičius
2022 Applied Sciences  
Our approach is also able to restore diacritics in words not seen during training with >76% accuracy.  ...  with all the diacritics missing.In this work, we tackle both problems at once by employing the newly-developed universal ByT5 byte-level seq2seq transformer model that requires no language-specific model  ...  The authors in [11] use the lemmatization technique to restore diacritics for the Czech language. Their method contains the set of if-then rules that consider prefixes and suffixes.  ... 
doi:10.3390/app12052636 fatcat:relakw7ovff63oxsudtj2oyyk4

External memory algorithms and data structures: dealing with massive data

Jeffrey Scott Vitter
2001 ACM Computing Surveys  
The paradigm of disk striping offers an elegant way to use multiple disks in parallel. For sorting, however,  ...  In this article we survey the state of the art in the design and analysis of external memory (or EM) algorithms and data structures, where the goal is to exploit locality in order to reduce the I/O costs  ...  ACKNOWLEDGMENTS The author wishes to thank Pankaj Agarwal, Lars Arge, Ricardo Baeza-Yates, Adam Buchsbaum, Jeff Chase, David Hutchinson, Vasilis Samoladas, Amin Vahdat, the members of the Center for Geometric  ... 
doi:10.1145/384192.384193 fatcat:tunz4fa3rrgv7hwbk7qsvahd5i

Restoring Arabic vowels through omission-tolerant dictionary lookup

Alexis Amid Neme, Sébastien Paumier
2019 Language Resources and Evaluation  
For restoring vowels, our resources are capable of identifying words in which the vowels are not shown, as well as words in which the vowels are partially or fully included.  ...  Although numerous studies have been published on the issue of restoring the omitted vowels in speech technologies, little attention has been given to this problem in papers dedicated to written Arabic  ...  Words in a text are sorted; then the sorted list of word types (agglutinated or not) are labelled and presented to the user.  ... 
doi:10.1007/s10579-019-09464-6 fatcat:chdbye2d55fhxdvvbp4so2wloi

Correcting diacritics and typos with a ByT5 transformer model [article]

Lukas Stankevičius, Mantas Lukoševičius, Jurgita Kapočiūtė-Dzikienė, Monika Briedienė, Tomas Krilavičius
2022 arXiv   pre-print
In this work, we tackle both problems at once by employing the newly-developed universal ByT5 byte-level seq2seq transformer model that requires no language-specific model structures.  ...  Our approach is also able to restore diacritics in words not seen during training with > 76% accuracy.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
arXiv:2201.13242v2 fatcat:o5rn53acofbg3p52mfeyucgngu

Explaining Universal Tendencies and Language Particulars in Analogical Change [chapter]

Adam Albright
2008 Linguistic Universals and Language Change  
Finally, the extreme frequency difference between unmarked and marked forms makes data about suffixed forms quite sparse for the learner.  ...  Since the procedures for base selection and grammar induction are both deterministic, this model makes strong predictions about possible analogical changes: they must be based on the most informative form  ... 
doi:10.1093/acprof:oso/9780199298495.003.0007 fatcat:tw33lxzeazeofkvtbtvrbnkjsa

An Optimal Method for Developing Global Supply Chain Management System

Hao-Chun Lu, Yao-Huei Huang
2013 Journal of Optimization  
In this point of view, this study deals with the complicated liberalization policies in the global supply chain management system and proposes a mathematical model via the flow-control constraints, which  ...  Numerical experiments illustrate that the proposed model can be effectively solved to obtain the optimal profits in the global supply chain environment.  ...  Acknowledgments The authors would like to thank the editor and anonymous referees for providing most valuable comments for us to improve the quality of this paper.  ... 
doi:10.1155/2013/197370 fatcat:h433j3mk4naxjhxrnfeklaib7u
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