Abstract

ObjectivesThis paper describes the use of machine learning techniques to implement a Bayesian approach to modelling the dependency between offence data and environmental factors such as demographic characteristics and spatial location. The main goal of this paper is to provide a fully probabilistic approach to modelling crime which reflects all uncertainties in the prediction of offences as well as the uncertainties surrounding model parameters.MethodsThe proposed method is based on a Bayesian framework, with a Gaussian Process prior and MCMC, allowing uncertainties in prediction and inference to be quantified via the posterior distributions of interest. By using Bayesian updating, these predictions and inferences are dynamic in the sense that they change as new information becomes available.ResultsWe applied the proposed methodology to particular offence data, such as domestic violence-related assaults, burglary and motor vehicle theft, in the state of New South Wales (NSW), Australia. Our results demonstrate the strength of the technique by validating the factors that are associated with high and low criminal activity, including bounds on the degree of the relation.ConclusionsWe argue that this fully probabilistic approach will improve prediction, in the sense that the uncertainties are more accurately quantified, with attendant benefits to policymakers and policing organisations seeking to deploy limited criminal justice resources to prevent and control crime. While limitations and areas for potential improvement are identified, the success of the Bayesian approach, implemented using machine learning techniques, in a criminological context represents an exciting development.

Highlights

  • For over 150 years, criminologists have aimed to understand crime; why it occurs, where and when

  • In this work we show how to build fully probabilistic models that are able to answer important questions about crime, such as: What is the probability of the occurrence of a crime at a particular location? What are the characteristics of the population that affect the incidence of crime?

  • Methodology we present the methods and probabilistic models used for inference and prediction regarding crime rates

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Summary

Introduction

For over 150 years, criminologists have aimed to understand crime; why it occurs, where and when. In this work we show how to build fully probabilistic models that are able to answer important questions about crime, such as: What is the probability of the occurrence of a crime at a particular location? Provide evidence based quantitative methodology that relates crime to environmental and demographic information by coupling the richness of the demographic and historical crime data with state of the art machine learning algorithms and probabilistic models. The dependent variable is the crime rate at a particular location, which depends on multiple explanatory variables. Our methodology is general enough to allow a wide variety of location-based explanatory variables to be incorporated into the model, including demographic characteristics of the population, environmental features, and transport density, among many others

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