log_sum_exp

The natural logarithm of the sum of the elementwise exponential, \(\log\sum_{i=1}^n e^{x_i}\).

An object-oriented modeling language for disciplined
convex programming (DCP) as described in Fu, Narasimhan, and Boyd
(2020, <doi:10.18637/jss.v094.i14>). It allows the user to
formulate convex optimization problems in a natural way following
mathematical convention and DCP rules. The system analyzes the
problem, verifies its convexity, converts it into a canonical
form, and hands it off to an appropriate solver to obtain the
solution. Interfaces to solvers on CRAN and elsewhere are
provided, both commercial and open source.

Anqi Fu

CVXR

Disciplined Convex Optimization

Balasubramanian Narasimhan

David W Kang

Steven Diamond

John Miller

Stephen Boyd

Paul Kunsberg Rosenfield

log_sum_exp function

<dl><dt>x</dt>
<dd>An Expression, vector, or matrix.</dd>
<dt>axis</dt>
<dd>(Optional) The dimension across which to apply the function: <code>1</code> indicates rows, <code>2</code> indicates columns, and <code>NA</code> indicates rows and columns. The default is <code>NA</code>.</dd>
<dt>keepdims</dt>
<dd>(Optional) Should dimensions be maintained when applying the atom along an axis? If <code>FALSE</code>, result will be collapsed into an \(n x 1\) column vector. The default is <code>FALSE</code>.</dd></dl>

Arguments

Log-Sum-Exponential — log_sum_exp

<dl>

<dt>x</dt>
<dd>An Expression, vector, or matrix.</dd>


<dt>axis</dt>
<dd>(Optional) The dimension across which to apply the function: <code>1</code> indicates rows, <code>2</code> indicates columns, and <code>NA</code> indicates rows and columns. The default is <code>NA</code>.</dd>


<dt>keepdims</dt>
<dd>(Optional) Should dimensions be maintained when applying the atom along an axis? If <code>FALSE</code>, result will be collapsed into an \(n x 1\) column vector. The default is <code>FALSE</code>.</dd>

</dl>

log_sum_exp: Log-Sum-Exponential

Description

Usage

Value

Arguments

Examples