Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Softplus Regressions and Convex Polytopes   To construct flexible nonlinear predictive distributions, the paper
introduces a family of softplus function based regression models that convolve,
stack, or combine both operations by convolving countably infinite stacked
gamma distributions, whose scales depend on the covariates. Generalizing
logistic regression that uses a single hyperplane to partition the covariate
space into two halves, softplus regressions employ multiple hyperplanes to
construct a confined space, related to a single convex polytope defined by the
intersection of multiple half-spaces or a union of multiple convex polytopes,
to separate one class from the other. The gamma process is introduced to
support the convolution of countably infinite (stacked) covariate-dependent
gamma distributions. For Bayesian inference, Gibbs sampling derived via novel
data augmentation and marginalization techniques is used to deconvolve and/or
demix the highly complex nonlinear predictive distribution. Example results
demonstrate that softplus regressions provide flexible nonlinear decision
boundaries, achieving classification accuracies comparable to that of kernel
support vector machine while requiring significant less computation for
out-of-sample prediction.

0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an