Boston

A dataset containing information collected by the U.S Census Service concerning housing
in the area of Boston, originally published by Harrison and Rubinfeld (1978).

datasets

Implementation of a collection of MCMC methods for Bayesian structure learning
of directed acyclic graphs (DAGs), both from continuous and discrete data. For efficient
inference on larger DAGs, the space of DAGs is pruned according to the data. To filter
the search space, the algorithm employs a hybrid approach, combining constraint-based
learning with search and score. A reduced search space is initially defined on the basis
of a skeleton obtained by means of the PC-algorithm, and then iteratively improved with
search and score. Search and score is then performed following two approaches:
Order MCMC, or Partition MCMC.
The BGe score is implemented for continuous data and the BDe score is implemented
for binary data or categorical data. The algorithms may provide the maximum a posteriori
(MAP) graph or a sample (a collection of DAGs) from the posterior distribution given the data.
All algorithms are also applicable for structure learning and sampling for dynamic Bayesian networks.
References:
J. Kuipers, P. Suter, G. Moffa (2022) <doi:10.1080/10618600.2021.2020127>,
N. Friedman and D. Koller (2003) <doi:10.1023/A:1020249912095>,
J. Kuipers and G. Moffa (2017) <doi:10.1080/01621459.2015.1133426>,
M. Kalisch et al. (2012) <doi:10.18637/jss.v047.i11>,
D. Geiger and D. Heckerman (2002) <doi:10.1214/aos/1035844981>,
P. Suter, J. Kuipers, G. Moffa, N.Beerenwinkel (2023) <doi:10.18637/jss.v105.i09>.

Polina Suter

BiDAG

Bayesian Inference for Directed Acyclic Graphs

Boston function

A data frame with 506 rows and 14 variables:<ul>
<li>CRIM - per capita crime rate by town</li>
<li>ZN - proportion of residential land zoned for lots over 25,000 sq.ft.</li>
<li>INDUS - proportion of non-retail business acres per town.</li>
<li>CHAS - Charles River dummy variable (1 if tract bounds river; 0 otherwise)</li>
<li>NOX - nitric oxides concentration (parts per 10 million)</li>
<li>RM - average number of rooms per dwelling</li>
<li>AGE - proportion of owner-occupied units built prior to 1940</li>
<li>DIS - weighted distances to five Boston employment centres</li>
<li>TAX - full-value property-tax rate per $10,000</li>
<li>RAD - index of accessibility to radial highways</li>
<li>PTRATIO - pupil-teacher ratio by town</li>
<li>B - 1000(Bk - 0.63)^2 where Bk is the proportion of blacks by town</li>
<li>LSTAT - percentage lower status of the population</li>
<li>MEDV - Median value of owner-occupied homes in $1000's</li>
</ul>

Boston: Boston housing data

Description

Usage

Arguments

Format

References