Let's have more of that, he says, and turn the Bay Area as a whole into a clean, efficient metropolis.
We discuss how knowledge of the sampling mechanism can and should inform a prior specification, π(x) say, for the joint distribution of the measurement locations X="{xi:i= 1,…,n}, and propose an efficient Metropolis–Hastings algorithm for drawing samples from the resulting predictive distribution of the missing elements of X.
These latter choices render the formulation partially conjugate, permitting an efficient Metropolis-within-Gibbs Markov chain Monte Carlo (MCMC) sampling scheme for the parameter posterior distribution, as described in detail in the Supplementary Material.
It was built in the nineteen-seventies, part of a vast network of bridges, cloverleafs, and expressways intended to transform the districts and islands of this Nigerian city — then comprising three million people — into an efficient modern metropolis.
It was built in the nineteen-seventies, part of a vast network of bridges, cloverleafs, and expressways intended to transform the districts and islands of this Nigerian city then comprising three million people into an efficient modern metropolis.
These three Gibbs samplers were almost twice as efficient as Metropolis–Hastings (Table 1).
Johnson's first-term record, closely monitored by a handful of journalists and independent bloggers, reveals little inclination to tackle the deeper structural, environmental and social impediments to London's long-term progression as an efficient, generous, capitalist metropolis.
Also, Gibbs sampling would be more efficient than the Metropolis algorithm (Casella and George, 1992).
This result was unexpected because Gibbs samplers accept network modification at every step and thus are potentially more efficient than a Metropolis–Hastings sampler.
In order to obtain reliable Monte Carlo sampling results, we combined the numerically stable thermodynamic integration with an efficient copula-based Metropolis-Hastings algorithm.
But there may be a case for skepticism of the urban hackers, whose streamlined and efficient vision for the city can at times seem more rightly projected onto a piece of code than a messy, chaotic, vital metropolis.
