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A Note on the Performance of Algorithms for Solving Linear Diophantine Equations in the Naturals ...
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Lexicographically Fair Learning: Algorithms and Generalization ...
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Near-Optimal Quantum Algorithms for String Problems ...
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Abstract:
We study quantum algorithms for several fundamental string problems, including Longest Common Substring, Lexicographically Minimal String Rotation, and Longest Square Substring. These problems have been widely studied in the stringology literature since the 1970s, and are known to be solvable by near-linear time classical algorithms. In this work, we give quantum algorithms for these problems with near-optimal query complexities and time complexities. Specifically, we show that: - Longest Common Substring can be solved by a quantum algorithm in $\tilde O(n^{2/3})$ time, improving upon the recent $\tilde O(n^{5/6})$-time algorithm by Le Gall and Seddighin (2020). Our algorithm uses the MNRS quantum walk framework, together with a careful combination of string synchronizing sets (Kempa and Kociumaka, 2019) and generalized difference covers. - Lexicographically Minimal String Rotation can be solved by a quantum algorithm in $n^{1/2 + o(1)}$ time, improving upon the recent $\tilde O(n^{3/4})$-time algorithm by ... : To appear in SODA 2022. Fixed cleveref issues ...
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Keyword:
Data Structures and Algorithms cs.DS; FOS Computer and information sciences; FOS Physical sciences; Quantum Physics quant-ph
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URL: https://arxiv.org/abs/2110.09696 https://dx.doi.org/10.48550/arxiv.2110.09696
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Dynamic Suffix Array with Sub-linear update time and Poly-logarithmic Lookup Time ...
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The Labeled Direct Product Optimally Solves String Problems on Graphs ...
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Breaking the $O(n)$-Barrier in the Construction of Compressed Suffix Arrays ...
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FM-Indexing Grammars Induced by Suffix Sorting for Long Patterns ...
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Construction of Sparse Suffix Trees and LCE Indexes in Optimal Time and Space ...
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Detecting Signal Corruptions in Voice Recordings for Speech Therapy ; Igenkänning av Signalproblem i Röstinspelningar för Logopedi
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Nylén, Helmer. - : KTH, Skolan för elektroteknik och datavetenskap (EECS), 2021
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Eliciting Auxiliary Information for Cold Start User Recommendation: A Survey
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In: Applied Sciences ; Volume 11 ; Issue 20 (2021)
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Authorship Attribution of Social Media and Literary Russian-Language Texts Using Machine Learning Methods and Feature Selection
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In: Future Internet; Volume 14; Issue 1; Pages: 4 (2021)
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