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An O(NP) sequence comparison algorithm
1990
Information Processing Letters
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We present an algorithm for finding a shortest edit distance of A and B whose worst case running time is O(NP) and whose expected running time is O(N + PD). ...
A parameter related to D is the number of deletions in such a script, P = D/2 − (N − M)/2. ...
O(MN log logN/ log N) and O(MN/ log N) for arbitrary and finite alphabet sets respectively. ...
doi:10.1016/0020-0190(90)90035-v
fatcat:pt6ctvywmnaz5or66fmyrupu7u
Asymmetric k-center is log* n-hard to approximate
2005
Journal of the ACM
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We show that the Asymmetric k-Center problem is hard to approximate up to a factor of log * n − Θ(1) unless NP ⊆ DTIME(n log log n ). ...
Since an O(log * n)-approximation algorithm is known for this problem, this essentially resolves the approximability of this problem. ...
Acknowledgements We would like to thank Samir Khuller for bringking the metric k-Center with costs to our attention. ...
doi:10.1145/1082036.1082038
fatcat:5c7f6xvcpfapzpwdd76lp2zqsm
Asymmetric k-center is log* n-hard to approximate
2004
Proceedings of the thirty-sixth annual ACM symposium on Theory of computing - STOC '04
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We show that the Asymmetric k-Center problem is hard to approximate up to a factor of log * n − Θ(1) unless NP ⊆ DTIME(n log log n ). ...
Since an O(log * n)-approximation algorithm is known for this problem, this essentially resolves the approximability of this problem. ...
Acknowledgements We would like to thank Samir Khuller for bringking the metric k-Center with costs to our attention. ...
doi:10.1145/1007352.1007363
dblp:conf/stoc/ChuzhoyGHKKN04
fatcat:w5j5zgxmurhhtevaoxcjtfjvju
N-H···O hydrogen bonding: An FT-IR, NIR study of N-methylformamide-ether systems
2010
Journal of the Serbian Chemical Society
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The best correlation between the experimentally determined and the calculated pK a values was found for the CSpKa program, ΔpK a (log pK a (exp) -log pK a (cal)) = 0.56. ...
If 298 log K is correlated with both σ* and E S ,
Fig 5.
Fig. 5 . 5 Plot of I D vs. experimental (ν 0 /Δν) 1/2 for N-methylformamide-electron donors. ...
The desorption of CO 2 is the rate-determining step: скенирајућом електронском микроскопијом (SEM), дифракцијом X-зрака (XRD) и фотоелектронском спектроскопијом X-зрака (XPS). ...
doi:10.2298/jsc1002157j
fatcat:ar2vsn6m3fdotj2mu4nfjcktjm
On the Student-t Mixture Inverse Gaussian Modelwith an Application to Protein Production Sobre el modelo gaussiano inverso mezclado t-Student y una aplicaci'{o}n a producci'{o}n de prote'{i}nas
2011
Revista Colombiana de Estadística
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as an alternative methodology to the procedures available until now. ...
Moreover, to evaluate the potential influence of atypical observations, we produce a diagnostic analysis for the model. ...
Acknowledgements The authors wish to thank the editors Leonardo Trujillo, Ph.D. and Piedad Urdinola, Ph.D., and anonymous referees for their constructive comments on an earlier version of this manuscript ...
doaj:4dfced0a7750424984fd89b7e566398d
fatcat:t7na4vy4bnghbk6kotq45xktqa
Approximating the exponential, the lanczos method and an Õ(m)-time spectral algorithm for balanced separator
2012
Proceedings of the 44th symposium on Theory of Computing - STOC '12
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We give a novel spectral approximation algorithm for the balanced (edge-)separator problem that, given a graph G, a constant balance b ∈ (0, 1/2], and a parameter γ, either finds an Ω(b)-balanced cut of ...
As an application, we obtain a simple and practical algorithm, with output conductance O( √ γ), for balanced separator that runs in timeÕ( m / √ γ). ...
(log 1 /δ + log(1 + A )) log 1 /δ + (log 1 /δ) 2 , where the tilde hides polynomial factors in log log n and log log 1 /δ. ...
doi:10.1145/2213977.2214080
dblp:conf/stoc/OrecchiaSV12
fatcat:pfm4ddapsfdurmbo6gxrhvnfwa
An observational study of dust nucleation in Mira (o Ceti)
2016
Astronomy and Astrophysics
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Aims: Identify and characterize aluminum bearing species in the circumstellar gas of Mira (o Ceti) in order to elucidate their role in the production of Al_2O_3 dust. ...
at 30 mas; observations with ALMA, APEX, and Herschel in 2013-2015 for studying cycle and inter-cycle variability of the rotational lines of Al bearing molecules; optical records as far back as 1965 to ...
Kipper (Tartu Observatory) for sending us a copy of his article. We are also grateful to O. Adriyenko (Terskol Observatory) for providing us with his spectra and E. ...
doi:10.1051/0004-6361/201628664
fatcat:wby6u6psqfb4fpoeerjhhsjnly
Distributed Exact Weighted All-Pairs Shortest Paths in Õ(n^5/4) Rounds
[article]
2017
arXiv
pre-print
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The problem admits (1+o(1))-approximation Õ(n)-time algorithms LenzenP-podc15,Nanongkai-STOC14, which are matched with Ω̃(n)-time lower bounds Nanongkai-STOC14,LenzenP_stoc13,FrischknechtHW12[Θ̃, Õ and ...
Our techniques also yield an Õ(n^3/4k^1/2+n)-time algorithm for the k-source shortest paths problem where we want every node to know distances from k sources; this improves Elkin's recent bound Elkin-STOC17 ...
Nanongkai and Saranurak would like to thank Rotem Oshman for comments on the preliminary version of the result. ...
arXiv:1708.03903v2
fatcat:6oljfbvonvdwtggwnihimrl3mi
Approximate CVP_p in Time 2^{0.802 n}
2020
European Symposium on Algorithms
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This matches the currently fastest constant factor approximation algorithm for the shortest vector problem w.r.t. 𝓁₂. ...
We show that a constant factor approximation of the shortest and closest lattice vector problem w.r.t. any 𝓁_p-norm can be computed in time 2^{(0.802 +ε) n}. ...
in inequality (2) and simplifying, we find N ( √ nB n 2 , aB n ∞ ) ≤ poly(n) 2 n[H(φ)+ φ 2 log( 2πe φ )] Both H(φ) and φ 2 log( 2πe φ ) decrease to 0 as φ decreases to 0. ...
doi:10.4230/lipics.esa.2020.43
dblp:conf/esa/EisenbrandV20
fatcat:jj6xo272fjcebcqojty6omkcpa
Approximate CVP_p in time 2^0.802 n
[article]
2020
arXiv
pre-print
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This matches the currently fastest constant factor approximation algorithm for the shortest vector problem w.r.t. ℓ_2. ...
We show that a constant factor approximation of the shortest and closest lattice vector problem w.r.t. any ℓ_p-norm can be computed in time 2^(0.802 +ϵ) n. ...
inequality (2) and simplifying, we find N ( nB n 2 , aB n ∞ ) ≤ poly(n) 2 n[H(φ)+ φ 2 log( 2πe φ )] Both H(φ) and φ 2 log( 2πe φ ) decrease to 0 as φ decreases to 0. ...
arXiv:2005.04957v2
fatcat:ws4v7nc35baincg5ebgbfix6q4
Approximating the Exponential, the Lanczos Method and an Õ(m)-Time Spectral Algorithm for Balanced Separator
[article]
2011
arXiv
pre-print
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We give a novel spectral approximation algorithm for the balanced separator problem that, given a graph G, a constant balance b \in (0,1/2], and a parameter \gamma, either finds an \Omega(b)-balanced cut ...
As an application, we obtain a simple and practical algorithm, with output conductance O(\sqrt(\gamma)), for balanced separator that runs in time \tilde{O}(m/\sqrt(\gamma)). ...
(λ 1 (A) − λ n (A)) · log 1 /δ} · (log 1 /δ) · log log 1 /δ . ...
arXiv:1111.1491v1
fatcat:rrr3jlcb25gc3awnyyhavxiuaq
An arithmetic approach for the computing with words paradigm
2005
International Journal of Intelligent Systems
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In this article we show an alternative kind of system that remedies those deficits in many applications. It is based on fuzzy arithmetic rather than fuzzy logic. We also show application examples. ...
Computing with words applications are mostly built using rule-based systems, which have some important deficits: First, it is not easy to deal with high dimension problems because the size of the rule ...
Acknowledgments Special thanks to Mónica Alvarado and Efraín Chiguasuque for allowing us to include the results of their degree work 13 in Section 6.1. ...
doi:10.1002/int.20123
fatcat:mc7iz4pugbhfddfdkydsh5ndpa
Analysis and parallel implementation of a forced N-body problem
2013
Journal of Computational Physics
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This paper concerns algorithms for solving a specific N-body problem, namely, a system of disturbance velocities for hydrodynamically interacting particles in a particle-laden turbulent flow. ...
Our complexity analysis showed that for large N-body problems, the proposed GMRes scheme scales well for moderate to large number of processors in current tera to petascale computers. ...
Acknowledgments This work was made possible by support from the National Science Foundation through grants OCI-0904534 and ATM-0730766 and by the National Center for Atmospheric Research (NCAR). ...
doi:10.1016/j.jcp.2013.03.008
fatcat:wtr6gczq65gnhankz4dkwmmfe4
Approximate CVP in time 2^0.802 n – now in any norm!
[article]
2021
arXiv
pre-print
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This contrasts the corresponding 2^n time, (gap)-SETH based lower bounds for these problems that even apply for small constant approximation. ...
For both problems, SVP and CVP, we reduce to the case of the Euclidean norm. ...
We can either guess and succeed with probability log(n) − log(n) , or we return log(n) log(n) different convex bodies, one of which verifies the desired properties. ...
arXiv:2110.02387v1
fatcat:wbj262rakreqxdal57ibpavak4
A O(1/ε 2) n -Time Sieving Algorithm for Approximate Integer Programming
[chapter]
2012
Lecture Notes in Computer Science
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The Integer Programming Problem (IP) for a polytope P ⊆ R n is to find an integer point in P or decide that P is integer free. ...
We give a randomized algorithm for an approximate version of this problem, which correctly decides whether P contains an integer point or whether a (1 + ) scaling of P around its barycenter is integer ...
Runtime and Failure Probability: We first analyze the runtime. First, we make O(n log R r ) guesses for the value of Λ(C, L, M ). We run the ShortVectors algorithm once for each such guess β. ...
doi:10.1007/978-3-642-29344-3_18
fatcat:w4dotelqqvaodp5lxsqnjp4kqy
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