projection_nb

Compute the projection operator for norm balls. For example,
we construct $$\lambda P_{B_{\| \cdot \|_*}[0,r]}(x/\lambda) = projection_nb(\lambda,r,\| \cdot \|_*,x)$$, 
where $\| \cdot \|_*$ can be $l_{1}$-norm, $l_{2}$-norm, and 
$l_{\infty}$-norm.

projection

Functions and data sets for data sharpening.
Nonparametric regressions are computed subject to smoothness
and other kinds of penalties.

D. Wang

sharpPen

Penalized Data Sharpening for Local Polynomial Regression

W.J. Braun

X.J. Hu

projection_nb function

<dl> <dt>lambda</dt>
<dd>parameter $\lambda$ in the above equation</dd> <dt>radius</dt>
<dd>parameter $r$ in the above equation</dd> <dt>family</dt>
<dd>select the norm ball type, can be $l_{1}$-norm, $l_{2}$-norm, and
$l_{\infty}$-norm.</dd> <dt>input</dt>
<dd>input x in the above equation</dd></dl>

Arguments

Author

Projection operator for norm balls. — projection_nb

<dl>

 <dt>lambda</dt>
<dd>parameter $\lambda$ in the above equation</dd>

 <dt>radius</dt>
<dd>parameter $r$ in the above equation</dd>

 <dt>family</dt>
<dd>select the norm ball type, can be $l_{1}$-norm, $l_{2}$-norm, and
$l_{\infty}$-norm.</dd>

 <dt>input</dt>
<dd>input x in the above equation</dd>

</dl>

projection_nb: Projection operator for norm balls.

Description

Usage

Value

Arguments

Author

Details

Examples