Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Tree-based Semi-Varying Coefficient Model for the COM-Poisson
  Distribution   We propose a tree-based semi-varying coefficient model for the
Conway-Maxwell- Poisson (CMP or COM-Poisson) distribution which is a
two-parameter generalization of the Poisson distribution and is flexible enough
to capture both under-dispersion and over-dispersion in count data. The
advantage of tree-based methods is their scalability to high-dimensional data.
We develop CMPMOB, an estimation procedure for a semi-varying coefficient
model, using model-based recursive partitioning (MOB). The proposed framework
is broader than the existing MOB framework as it allows node-invariant effects
to be included in the model. To simplify the computational burden of the
exhaustive search employed in the original MOB algorithm, a new split point
estimation procedure is proposed by borrowing tools from change point
estimation methodology. The proposed method uses only the estimated score
functions without fitting models for each split point and, therefore, is
computationally simpler. Since the tree-based methods only provide a piece-wise
constant approximation to the underlying smooth function, we propose the
CMPBoost semi-varying coefficient model which uses the gradient boosting
procedure for estimation. The usefulness of the proposed methods are
illustrated using simulation studies and a real example from a bike sharing
system in Washington, DC.

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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: cond-mat