Search Results - "sublinear-time algorithms"
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Approximating average parameters of graphs
ISSN: 1042-9832, 1098-2418Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.07.2008Published in Random structures & algorithms (01.07.2008)“…Inspired by Feige (36th STOC, 2004), we initiate a study of sublinear randomized algorithms for approximating average parameters of a graph. Specifically, we…”
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Time-Optimal Sublinear Algorithms for Matching and Vertex Cover
ISSN: 2575-8454Published: IEEE 01.02.2022Published in Proceedings / annual Symposium on Foundations of Computer Science (01.02.2022)“…We study the problem of estimating the size of maximum matching and minimum vertex cover in sub linear time. Denoting the number of vertices by n and the…”
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Conference Proceeding -
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SubLinearForce: Fully Sublinear-Time Force Computation for Large Complex Graph Drawing
ISSN: 1077-2626, 1941-0506Published: New York IEEE 01.07.2024Published in IEEE transactions on visualization and computer graphics (01.07.2024)“…Recent works in graph visualization attempt to reduce the runtime of repulsion force computation of force-directed algorithms using sampling. However, they…”
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Finding cycles and trees in sublinear time
ISSN: 1042-9832, 1098-2418Published: Hoboken Blackwell Publishing Ltd 01.09.2014Published in Random structures & algorithms (01.09.2014)“…ABSTRACT We present sublinear‐time (randomized) algorithms for finding simple cycles of length at least k≥3 and tree‐minors in bounded‐degree graphs. The…”
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Quantum Meets Fine-Grained Complexity: Sublinear Time Quantum Algorithms for String Problems
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.05.2023Published in Algorithmica (01.05.2023)“…Longest common substring (LCS), longest palindrome substring (LPS), and Ulam distance (UL) are three fundamental string problems that can be classically solved…”
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Sublinear-Time Algorithms for Counting Star Subgraphs via Edge Sampling
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.02.2018Published in Algorithmica (01.02.2018)“…We study the problem of estimating the value of sums of the form S p ≜ ∑ x i p when one has the ability to sample x i ≥ 0 with probability proportional to its…”
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Sublinear time approximation schemes for makespan minimization on parallel machines
ISSN: 1432-2994, 1432-5217Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2025Published in Mathematical methods of operations research (Heidelberg, Germany) (01.06.2025)“…We study sublinear time algorithms for the classical makespan minimization problem of scheduling n jobs on m parallel machines. Under uniform random sampling…”
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Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time
ISSN: 0029-599X, 0945-3245Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021Published in Numerische Mathematik (01.06.2021)“…In this paper we develop a sublinear-time compressive sensing algorithm for approximating functions of many variables which are compressible in a given Bounded…”
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Sublinear-Time Algorithms for Compressive Phase Retrieval
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.2020Published in IEEE transactions on information theory (01.11.2020)“…In the problem of compressed phase retrieval, the goal is to reconstruct a sparse or approximately <inline-formula> <tex-math notation="LaTeX">k…”
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Counting Stars and Other Small Subgraphs in Sublinear-Time
ISSN: 0895-4801, 1095-7146Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2011Published in SIAM journal on discrete mathematics (01.01.2011)“…Detecting and counting the number of copies of certain subgraphs (also known as network motifs or graphlets) is motivated by applications in a variety of areas…”
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Local reconstruction of low‐rank matrices and subspaces
ISSN: 1042-9832, 1098-2418Published: Hoboken Wiley Subscription Services, Inc 01.12.2017Published in Random structures & algorithms (01.12.2017)“…We study the problem of reconstructing a low‐rank matrix, where the input is an n × m matrix M over a field F and the goal is to reconstruct a (near‐optimal)…”
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Sublinear Time Algorithms
ISSN: 0895-4801, 1095-7146Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2011Published in SIAM journal on discrete mathematics (01.01.2011)“…Sublinear time algorithms represent a new paradigm in computing, where an algorithm must give some sort of an answer after inspecting only a very small portion…”
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Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables
ISSN: 1615-3375, 1615-3383Published: New York Springer US 01.04.2021Published in Foundations of computational mathematics (01.04.2021)“…In this paper we develop fast and memory efficient numerical methods for learning functions of many variables that admit sparse representations in terms of…”
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14
An adaptivity hierarchy theorem for property testing
ISSN: 1016-3328, 1420-8954Published: Cham Springer International Publishing 01.12.2018Published in Computational complexity (01.12.2018)“…Adaptivity is known to play a crucial role in property testing. In particular, there exist properties for which there is an exponential gap between the power…”
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Optimal Testing of Multivariate Polynomials over Small Prime Fields
ISSN: 0097-5397, 1095-7111Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Published in SIAM journal on computing (01.01.2013)“…We consider the problem of testing whether a given function $f : {\mathbb F}_q^n \rightarrow {\mathbb F}_q$ is close to an $n$-variate degree $d$ polynomial…”
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Random walks and forbidden minors III: \text\left(d\varepsilon ^\right)-time partition oracles for minor-free graph classes
ISSN: 2575-8454Published: IEEE 01.02.2022Published in Proceedings / annual Symposium on Foundations of Computer Science (01.02.2022)“…Consider the family of bounded degree graphs in any minor-closed family (such as planar graphs). Let d be the degree bound and n be the number of vertices of…”
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Conference Proceeding -
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Compressed sensing with sparse binary matrices: Instance optimal error guarantees in near-optimal time
ISSN: 0885-064X, 1090-2708Published: Elsevier Inc 01.02.2014Published in Journal of Complexity (01.02.2014)“…A compressed sensing method consists of a rectangular measurement matrix, M∈Rm×N with m≪N, together with an associated recovery algorithm, A:Rm→RN. Compressed…”
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Estimating the Weight of Metric Minimum Spanning Trees in Sublinear Time
ISSN: 0097-5397, 1095-7111Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009Published in SIAM journal on computing (01.01.2009)“…In this paper the authors present a sublinear-time (1+...)-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an n-point…”
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Estimating the number of connected components in sublinear time
ISSN: 0020-0190, 1872-6119Published: Amsterdam Elsevier B.V 01.11.2014Published in Information processing letters (01.11.2014)“…We present an algorithm that estimates the number of connected components of a graph over n vertices within an additive error of εn in (sublinear) time…”
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Approximating the Minimum Spanning Tree Weight in Sublinear Time
ISSN: 0097-5397, 1095-7111Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2005Published in SIAM journal on computing (01.01.2005)“…We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the…”
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