18,965 research outputs found
Clustering Algorithms for Scale-free Networks and Applications to Cloud Resource Management
In this paper we introduce algorithms for the construction of scale-free
networks and for clustering around the nerve centers, nodes with a high
connectivity in a scale-free networks. We argue that such overlay networks
could support self-organization in a complex system like a cloud computing
infrastructure and allow the implementation of optimal resource management
policies.Comment: 14 pages, 8 Figurs, Journa
Adaptive hybrid Metropolis-Hastings samplers for DSGE models
Bayesian inference for DSGE models is typically carried out by single block random walk Metropolis, involving very high computing costs. This paper combines two features, adaptive independent Metropolis-Hastings and parallelisation, to achieve large computational gains in DSGE model estimation. The history of the draws is used to continuously improve a t-copula proposal distribution, and an adaptive random walk step is inserted at predetermined intervals to escape difficult points. In linear estimation applications to a medium scale (23 parameters) and a large scale (51 parameters) DSGE model, the computing time per independent draw is reduced by 85% and 65-75% respectively. In a stylised nonlinear estimation example (13 parameters) the reduction is 80%. The sampler is also better suited to parallelisation than random walk Metropolis or blocking strategies, so that the effective computational gains, i.e. the reduction in wall-clock time per independent equivalent draw, can potentially be much larger.Markov Chain Monte Carlo (MCMC); Adaptive Metropolis-Hastings; Parallel algorithm; DSGE model; Copula
Hearing the clusters in a graph: A distributed algorithm
We propose a novel distributed algorithm to cluster graphs. The algorithm
recovers the solution obtained from spectral clustering without the need for
expensive eigenvalue/vector computations. We prove that, by propagating waves
through the graph, a local fast Fourier transform yields the local component of
every eigenvector of the Laplacian matrix, thus providing clustering
information. For large graphs, the proposed algorithm is orders of magnitude
faster than random walk based approaches. We prove the equivalence of the
proposed algorithm to spectral clustering and derive convergence rates. We
demonstrate the benefit of using this decentralized clustering algorithm for
community detection in social graphs, accelerating distributed estimation in
sensor networks and efficient computation of distributed multi-agent search
strategies
Analysis of adaptive walks on NK fitness landscapes with different interaction schemes
Fitness landscapes are genotype to fitness mappings commonly used in
evolutionary biology and computer science which are closely related to spin
glass models. In this paper, we study the NK model for fitness landscapes where
the interaction scheme between genes can be explicitly defined. The focus is on
how this scheme influences the overall shape of the landscape. Our main tool
for the analysis are adaptive walks, an idealized dynamics by which the
population moves uphill in fitness and terminates at a local fitness maximum.
We use three different types of walks and investigate how their length (the
number of steps required to reach a local peak) and height (the fitness at the
endpoint of the walk) depend on the dimensionality and structure of the
landscape. We find that the distribution of local maxima over the landscape is
particularly sensitive to the choice of interaction pattern. Most quantities
that we measure are simply correlated to the rank of the scheme, which is equal
to the number of nonzero coefficients in the expansion of the fitness landscape
in terms of Walsh functions.Comment: 29 pages, 9 figure
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