knot_expand_list

Takes an input \(N \times p\) matrix of polynomial expansions and outputs a list of
length \(K+1\), isolating the rows of the input corresponding to assigned partition.

internal

Implements Lagrangian multiplier smoothing splines for flexible
nonparametric regression and function estimation. Provides tools for fitting,
prediction, and inference using a constrained optimization approach to
enforce smoothness.
Supports generalized linear models, Weibull accelerated failure time (AFT) models,
quadratic programming problems, and customizable arbitrary correlation structures.
Options for fitting in parallel are provided. The method builds upon the framework described
by Ezhov et al. (2018) <doi:10.1515/jag-2017-0029> using Lagrangian multipliers
to fit cubic splines. For more information on correlation structure estimation,
see Searle et al. (2009) <ISBN:978-0470009598>. For quadratic programming and
constrained optimization in general, see Nocedal & Wright (2006) <doi:10.1007/978-0-387-40065-5>.
For a comprehensive background on smoothing splines, see Wahba (1990)
<doi:10.1137/1.9781611970128> and Wood (2006) <ISBN:978-1584884743>
"Generalized Additive Models: An Introduction with R".

Matthew Davis

lgspline

Lagrangian Multiplier Smoothing Splines for Smooth Function
Estimation

knot_expand_list function

<dl><dt>partition_codes</dt>
<dd>Numeric vector; values determining partition assignment for each row</dd>
<dt>partition_bounds</dt>
<dd>Numeric vector; ordered knot locations defining partition boundaries</dd>
<dt>nr</dt>
<dd>Integer; number of rows in input matrix</dd>
<dt>mat</dt>
<dd>Numeric matrix; data to be partitioned</dd>
<dt>K</dt>
<dd>Integer; number of interior knots (resulting in \(K+1\) partitions)</dd></dl>

Arguments

Expand Matrix into Partition Lists Based on Knot Boundaries — knot_expand_list

<dl>

<dt>partition_codes</dt>
<dd>Numeric vector; values determining partition assignment for each row</dd>


<dt>partition_bounds</dt>
<dd>Numeric vector; ordered knot locations defining partition boundaries</dd>


<dt>nr</dt>
<dd>Integer; number of rows in input matrix</dd>


<dt>mat</dt>
<dd>Numeric matrix; data to be partitioned</dd>


<dt>K</dt>
<dd>Integer; number of interior knots (resulting in \(K+1\) partitions)</dd>

</dl>

knot_expand_list: Expand Matrix into Partition Lists Based on Knot Boundaries

Description

Usage

Value

Arguments