Εμφανίζονται 1 - 20 Αποτελέσματα από 208.605 για την αναζήτηση 'Deterministic Time Encoding', χρόνος αναζήτησης: 0,93δλ Περιορισμός αποτελεσμάτων
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    Mixed Materials

    Additional Titles: We present a complete classification of the deterministic distributed time complexity for a family of graph problems: binary labeling problems in trees. These are locally checkable problems that can be encoded with an alphabet of size two in the edge labeling formalism. Examples of binary labeling problems include sinkless orientation, sinkless and sourceless orientation, 2-vertex coloring, perfect matching, and the task of coloring edges red and blue such that all nodes are incident to at least one red and at least one blue edge. More generally, we can encode e.g. any cardinality constraints on indegrees and outdegrees. We study the deterministic time complexity of solving a given binary labeling problem in trees, in the usual LOCAL model of distributed computing. We show that the complexity of any such problem is in one of the following classes: $O(1)$, $Θ(\log n)$, $Θ(n)$, or unsolvable. In particular, a problem that can be represented in the binary labeling formalism cannot have time complexity $Θ(\log^* n)$, and hence we know that e.g. any encoding of maximal matchings has to use at least three labels (which is tight). Furthermore, given the description of any binary labeling problem, we can easily determine in which of the four classes it is and what is an asymptotically optimal algorithm for solving it. Hence the distributed time complexity of binary labeling problems is decidable, not only in principle, but also in practice: there is a simple and efficient algorithm that takes the description of a binary labeling problem and outputs its distributed time complexity.

    Σύνδεσμος: http://arxiv.org/abs/1911.13294

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    Conference

    Πηγή: Proceedings of the 2026 3rd International Conference on Machine Learning, Natural Language Processing and Modeling. :341-349

    Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3832928.3832982

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    Mixed Materials

    Additional Titles: We consider the problem of constructing codes that can correct $δ$ deletions occurring in an arbitrary binary string of length $n$ bits. Varshamov-Tenengolts (VT) codes, dating back to 1965, are zero-error single deletion $(δ=1)$ correcting codes, and have an asymptotically optimal redundancy. Finding similar codes for $δ\geq 2$ deletions remains an open problem. In this work, we relax the standard zero-error (i.e., worst-case) decoding requirement by assuming that the positions of the $δ$ deletions (or insertions) are independent of the codeword. Our contribution is a new family of explicit codes, that we call Guess & Check (GC) codes, that can correct with high probability up to a constant number of $δ$ deletions (or insertions). GC codes are systematic; and have deterministic polynomial time encoding and decoding algorithms. We also describe the application of GC codes to file synchronization.

    Συγγραφείς: Hanna, Serge Kas, Rouayheb, Salim El

    Όροι ευρετηρίου: Information Theory, text

    Σύνδεσμος: http://arxiv.org/abs/1705.09569

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    Mixed Materials

    Additional Titles: We consider the problem of constructing codes that can correct $δ$ deletions occurring in an arbitrary binary string of length $n$ bits. Varshamov-Tenengolts (VT) codes can correct all possible single deletions $(δ=1)$ with an asymptotically optimal redundancy. Finding similar codes for $δ\geq 2$ deletions is an open problem. We propose a new family of codes, that we call Guess & Check (GC) codes, that can correct, with high probability, a constant number of deletions $δ$ occurring at uniformly random positions within an arbitrary string. The GC codes are based on MDS codes and have an asymptotically optimal redundancy that is $Θ(δ\log n)$. We provide deterministic polynomial time encoding and decoding schemes for these codes. We also describe the applications of GC codes to file synchronization.

    Συγγραφείς: Hanna, Serge Kas, Rouayheb, Salim El

    Όροι ευρετηρίου: Information Theory, text

    Σύνδεσμος: http://arxiv.org/abs/1702.04466

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    Academic Journal
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    Academic Journal
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    Mixed Materials

    Additional Titles: In this paper we give an explicit construction of a capacity achieving family of binary t-write WOM codes for any number of writes t, that have a polynomial time encoding and decoding algorithms. The block length of our construction is N=(t/ε)^{O(t/(δε))} when εis the gap to capacity and encoding and decoding run in time N^{1+δ}. This is the first deterministic construction achieving these parameters. Our techniques also apply to larger alphabets.

    Συγγραφείς: Shpilka, Amir

    Όροι ευρετηρίου: Information Theory, Computational Complexity, text

    Σύνδεσμος: http://arxiv.org/abs/1209.1128

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    Academic Journal

    Συγγραφείς: Li, Z., Calvet, L.E.

    Πηγή: IEEE Journal on Exploratory Solid-State Computational Devices and Circuits IEEE J. Explor. Solid-State Comput. Devices Circuits Exploratory Solid-State Computational Devices and Circuits, IEEE Journal on. 12:167-175 2026

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    Academic Journal

    Συγγραφείς: Khan, Muhammad Idrees, Author, Succi, Sauro, Author, Yao, Huadong, 1982, Author

    Συνεισφορές: Khan, Muhammad Idrees, Author, Succi, Sauro, Author, Yao, Huadong, 1982, Author

    Πηγή: 3D virtuell plattform för digitalisering av holistisk akustisk miljö i kabiner av tunga fordon (OCTAVE).

    Περιγραφή αρχείου: electronic

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    Book

    Συγγραφείς: Kammerer, Jean-Gabriel, primary, Lercier, Reynald, additional, Renault, Guénaël, additional

    Πηγή: Pairing-Based Cryptography - Pairing 2010. 2010/01/01

    Σύνδεσμος πρόσβασης: https://arxiv.org/pdf/1005.1454

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    Conference
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    Conference

    Συγγραφείς: Kannan, R.

    Πηγή: 22nd Annual Symposium on Foundations of Computer Science (sfcs 1981) Foundations of Computer Science, 1981. SFCS '81. 22nd Annual Symposium on. :235-243 Oct, 1981

    Relation: 22nd Annual Symposium on Foundations of Computer Science