Suchergebnisse - Randomized geometric algorithms
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Dispersion of mass and the complexity of randomized geometric algorithms
ISSN: 0001-8708, 1090-2082Veröffentlicht: Elsevier Inc 20.10.2008Veröffentlicht in Advances in mathematics (New York. 1965) (20.10.2008)“… , we analyze a notion of dispersion and connect it to asymptotic convex geometry. We obtain a nearly quadratic lower bound on the complexity of randomized volume algorithms for convex bodies in R n …”
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An Efficient Randomized Algorithm for Higher-Order Abstract Voronoi Diagrams
ISSN: 0178-4617, 1432-0541Veröffentlicht: New York Springer US 01.06.2019Veröffentlicht in Algorithmica (01.06.2019)“… We propose a randomized incremental construction algorithm that runs in O ( k ( n - k ) log 2 n + n log 3 n ) steps, where O ( k ( n - k ) ) is the number of faces in the worst case …”
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A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams
ISSN: 0925-7721Veröffentlicht: Elsevier B.V 01.12.2016Veröffentlicht in Computational geometry : theory and applications (01.12.2016)“… In this paper we develop a randomized divide-and-conquer algorithm to compute the order-k abstract Voronoi diagram in expected O(kn1+ε) operations …”
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A Fast Randomized Geometric Algorithm for Computing Riemann-Roch Spaces
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 19.10.2020Veröffentlicht in arXiv.org (19.10.2020)“… We propose a probabilistic variant of Brill-Noether's algorithm for computing a basis of the Riemann-Roch space \(L(D …”
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Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
ISBN: 9780769527208, 0769527205ISSN: 0272-5428Veröffentlicht: IEEE 01.10.2006Veröffentlicht in 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS'06) (01.10.2006)“… , we analyze a notion of dispersion and connect it to asymptotic convex geometry. We obtain a nearly quadratic lower bound on the complexity of randomized volume algorithms for convex bodies in Ropf n …”
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A deterministic near-linear time approximation scheme for geometric transportation
ISSN: 2575-8454Veröffentlicht: IEEE 06.11.2023Veröffentlicht in Proceedings / annual Symposium on Foundations of Computer Science (06.11.2023)“… } such that \mu(p)\gt 0 \forall p \in P^{+}, \mu(p)\lt 0 \forall p \in P^{-}, and \sum_{p \in P} \mu(p)=0, the geometric transportation problem asks one to find a transportation map …”
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Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 17.06.2008Veröffentlicht in arXiv.org (17.06.2008)“… , we analyze a notion of dispersion and connect it to asymptotic convex geometry. We obtain a nearly quadratic lower bound on the complexity of randomized volume algorithms for convex bodies in R^n …”
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Randomized geometric algorithms and pseudo-random generators
ISBN: 0818629002, 9780818629006Veröffentlicht: IEEE Comput. Soc. Press 1992Veröffentlicht in Foundations of Computer Science, 33rd Symposium on (FOCS '92) (1992)“… The so called randomized incremental algorithms in computational geometry can be thought of as a generalization of Quicksort to higher dimensional geometric problems …”
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Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
ISSN: 0925-7721Veröffentlicht: Elsevier B.V 01.06.1999Veröffentlicht in Computational geometry : theory and applications (01.06.1999)“… A randomized algorithm is given for constructing a t-spanner that, with high probability, contains O( n …”
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Randomized Approximation Algorithm for a Geometrical Multidimensional Assignment Problem
ISSN: 1571-0653, 1571-0653Veröffentlicht: Elsevier B.V 01.10.2006Veröffentlicht in Electronic notes in discrete mathematics (01.10.2006)Volltext
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Randomized and deterministic algorithms for geometric spanners of small diameter
ISBN: 0818665807, 9780818665806Veröffentlicht: IEEE Comput. Soc. Press 1994Veröffentlicht in Foundations of Computer Science, 35th Symposium on (FOCS '94) (1994)“… Randomized and deterministic algorithms are given for constructing t-spanners consisting of O …”
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Near-Linear Algorithms for Geometric Hitting Sets and Set Covers
ISSN: 0179-5376, 1432-0444Veröffentlicht: New York Springer US 01.03.2020Veröffentlicht in Discrete & computational geometry (01.03.2020)“… These algorithms, in conjunction with some standard geometric data structures, lead to near-linear algorithms for computing a small-size hitting set or set cover for a number of geometric range spaces …”
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Awake-Efficient Distributed Algorithms for Maximal Independent Set
ISSN: 2575-8411Veröffentlicht: IEEE 01.07.2022Veröffentlicht in Proceedings of the International Conference on Distributed Computing Systems (01.07.2022)“… We present a simple algorithmic framework for designing efficient distributed algorithms for the fundamental symmetry breaking problem of Maximal Independent Set (MIS …”
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A new geometrical-statistical algorithm for predicting two-dimensional distribution of rock fragments caused by blasting
ISSN: 1365-1609, 1873-4545Veröffentlicht: Elsevier Ltd 01.07.2016Veröffentlicht in International journal of rock mechanics and mining sciences (Oxford, England : 1997) (01.07.2016)“… Four techniques, namely Voronoi, orthogonal, randomized fracture and an innovative geometric-statistical algorithm are modeled and the results are compared with the size distribution from image …”
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A linear time randomized approximation algorithm for Euclidean matching
ISSN: 0920-8542, 1573-0484Veröffentlicht: New York Springer US 01.05.2019Veröffentlicht in The Journal of supercomputing (01.05.2019)“… We propose a simple randomized approximation algorithm based on the geometrical aspect of the problem with O ( n ) expected time …”
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The truncated geometric election algorithm: Duration of the election
ISSN: 0167-7152, 1879-2103Veröffentlicht: Elsevier B.V 01.06.2015Veröffentlicht in Statistics & probability letters (01.06.2015)“… We analyze the length of the entire election process (not just one participant’s duration), for a randomized election algorithm, with a truncated geometric number of survivors in each round …”
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Faster Randomized Block Kaczmarz Algorithms
ISSN: 0895-4798, 1095-7162Veröffentlicht: 01.01.2019Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2019)Volltext
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Randomized Algorithms for Binary Search and Load Balancing on Fixed Connection Networks with Geometric Applications
ISSN: 0097-5397, 1095-7111Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.06.1994Veröffentlicht in SIAM journal on computing (01.06.1994)“… This paper presents randomized parallel algorithms that execute on an $n$-processor butterfly interconnection network in $O(\log n …”
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Randomized Geometric Algebra Methods for Convex Neural Networks
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 08.06.2024Veröffentlicht in arXiv.org (08.06.2024)“… We introduce randomized algorithms to Clifford's Geometric Algebra, generalizing randomized linear algebra to hypercomplex vector spaces …”
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Highly efficient Coordinate Measuring Machine error compensation via Greedy Randomized Kaczmarz algorithm and nongeometric error identification neural network
ISSN: 0263-2241Veröffentlicht: Elsevier Ltd 30.01.2026Veröffentlicht in Measurement : journal of the International Measurement Confederation (30.01.2026)“… Geometric error compensation is achieved through the Product of Exponentials (POE) formula for modeling and the Greedy Randomized Kaczmarz (GRK …”
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