Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian Principal Component Regression model with spatial effects for
  forest inventory under small field sample size   Remote sensing observations are extensively used for analysis of
environmental variables. These variables often exhibit spatial correlation,
which has to be accounted for in the calibration models used in predictions,
either by direct modelling of the dependencies or by allowing for spatially
correlated stochastic effects. Another feature in many remote sensing
instruments is that the derived predictor variables are highly correlated,
which can lead to unnecessary model over-training and at worst, singularities
in the estimates. Both of these affect the prediction accuracy, especially when
the training set for model calibration is small. To overcome these modelling
challenges, we present a general model calibration procedure for remotely
sensed data and apply it to airborne laser scanning data for forest inventory.
We use a linear regression model that accounts for multicollinearity in the
predictors by principal components and Bayesian regularization. It has a
spatial random effect component for the spatial correlations that are not
explained by a simple linear model. An efficient Markov chain Monte Carlo
sampling scheme is used to account for the uncertainty in all the model
parameters. We tested the proposed model against several alternatives and it
outperformed the other linear calibration models, especially when there were
spatial effects, multicollinearity and the training set size was small.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys