The Ancient city of ‘CALABAR’ often interpreted as “Come And Live Be At Rest” has experienced insecurity and safety for over a decade due to rapid population growth urbanization. urban settings have also influenced criminal activities disorder especially the physical form metropolis its diverse economic activities. increase crime rate is attributed city’s social activity pattern structure trans...

3 The Metropolis and Mental Life* Georg Simmel cerning the metropolis today the answer will require the investigation of the relationship which such a social structure promotes between the individual aspects of life and those which transcend the existence of single individuals. It will require the investigation of the adaptations made by the personality in its adjustment to the forces that lie ...

This paper presents a stochastic iteration algorithm solving the global illumination problem, where the random sampling is governed by classical importance sampling and also by the Metropolis method. Point pairs where radiance transfer takes place are obtained with random ray shooting. Ray shooting can mimic the source radiance and the geometric factor, but not the receiving capability of the t...

This paper presents a stochastic iteration algorithm solving the global illumination problem, where the random sampling is governed by classical importance sampling and also by the Metropolis method. Point pairs where radiance transfer takes place are obtained with random ray shooting. Ray shooting can mimic the source radiance and the geometric factor, but not the receiving capability of the t...

In complex systems such as spin systems and protein systems, conventional simulations in the canonical ensemble will get trapped in states of energy local minima. We employ the generalized-ensemble algorithms in order to overcome this multiple-minima problem. Two wellknown generalized-ensemble algorithms, namely, multicanonical algorithm and replica-exchange method, are described. We then prese...

We consider the previously unsolved problem of sampling cycle-free paths according to a given distribution from a general network. The problem is difficult because of the combinatorial number of alternatives, which prohibits a complete enumeration of all paths and hence also forbids to compute the normalizing constant of the sampling distribution. The problem is important because the ability to...

Comparative studies of urbanisation can be characterized by their emphasis on the quantitative and visual aspects of urban growth, which is amongst other things reflected in the analysis of spatial patterns and rates of urban population growth. The visual aspects relate both to the spatial realisation of the demand for urban land use and its functional variation. This emphasis can be understood...

Particle Metropolis-Hastings enables Bayesian parameter inference in general nonlinear state space models (SSMs). However, in many implementations a random walk proposal is used and this can result in poor mixing if not tuned correctly using tedious pilot runs. Therefore, we consider a new proposal inspired by quasi-Newton algorithms that may achieve better mixing with less tuning. An advantage...

1.1 Dimension Changing The Metropolis-Hastings-Green algorithm (as opposed to just MetropolisHastings with no Green) is useful for simulating probability distributions that are a mixture of distributions having supports of different dimension. An early example (predating Green’s general formulation) was an MCMC algorithm for simulating spatial point processes (Geyer and Møller, 1994). More wide...

Since its first description fifty years ago, the Metropolis Monte Carlo method has been used in a variety of different ways for the simulation of continuum quantum many-body systems. This paper will consider some of the generalizations of the Metropolis algorithm employed in quantum Monte Carlo: Variational Monte Carlo, dynamical methods for projector monte carlo (i.e. diffusion Monte Carlo wit...