Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network-regularized Sparse Logistic Regression Models for Clinical Risk
  Prediction and Biomarker Discovery   Molecular profiling data (e.g., gene expression) has been used for clinical
risk prediction and biomarker discovery. However, it is necessary to integrate
other prior knowledge like biological pathways or gene interaction networks to
improve the predictive ability and biological interpretability of biomarkers.
Here, we first introduce a general regularized Logistic Regression (LR)
framework with regularized term $\lambda \|\bm{w}\|_1 +
\eta\bm{w}^T\bm{M}\bm{w}$, which can reduce to different penalties, including
Lasso, elastic net, and network-regularized terms with different $\bm{M}$. This
framework can be easily solved in a unified manner by a cyclic coordinate
descent algorithm which can avoid inverse matrix operation and accelerate the
computing speed. However, if those estimated $\bm{w}_i$ and $\bm{w}_j$ have
opposite signs, then the traditional network-regularized penalty may not
perform well. To address it, we introduce a novel network-regularized sparse LR
model with a new penalty $\lambda \|\bm{w}\|_1 + \eta|\bm{w}|^T\bm{M}|\bm{w}|$
to consider the difference between the absolute values of the coefficients. And
we develop two efficient algorithms to solve it. Finally, we test our methods
and compare them with the related ones using simulated and real data to show
their efficiency.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin