Logistic-class: The Logistic class.

In cvxgrp/CVXR: Disciplined Convex Optimization

The Logistic class.

Description

This class represents the elementwise operation \log(1 + e^x). This is a special case of log(sum(exp)) that evaluates to a vector rather than to a scalar, which is useful for logistic regression.

Usage

Logistic(x)

## S4 method for signature 'Logistic'
to_numeric(object, values)

## S4 method for signature 'Logistic'
sign_from_args(object)

## S4 method for signature 'Logistic'
is_atom_convex(object)

## S4 method for signature 'Logistic'
is_atom_concave(object)

## S4 method for signature 'Logistic'
is_incr(object, idx)

## S4 method for signature 'Logistic'
is_decr(object, idx)

## S4 method for signature 'Logistic'
.grad(object, values)

Arguments

x	An Expression or numeric constant.
object	A Logistic object.
values	A list of numeric values for the arguments
idx	An index into the atom.

Methods (by generic)

• to_numeric(Logistic): Evaluates e^x elementwise, adds one, and takes the natural logarithm.

• sign_from_args(Logistic): The atom is positive.

• is_atom_convex(Logistic): The atom is convex.

• is_atom_concave(Logistic): The atom is not concave.

• is_incr(Logistic): The atom is weakly increasing.

• is_decr(Logistic): The atom is not weakly decreasing.

• .grad(Logistic): Gives the (sub/super)gradient of the atom w.r.t. each variable

Slots

x

An Expression or numeric constant.

cvxgrp/CVXR documentation built on Nov. 8, 2024, 5:47 p.m.