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CVXR (version 1.0)

Logistic-class: 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 Logistic to_numeric(object, values)

# S4 method for Logistic sign_from_args(object)

# S4 method for Logistic is_atom_convex(object)

# S4 method for Logistic is_atom_concave(object)

# S4 method for Logistic is_incr(object, idx)

# S4 method for Logistic is_decr(object, idx)

# S4 method for 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: Evaluates e^x elementwise, adds one, and takes the natural logarithm.

  • sign_from_args: The atom is positive.

  • is_atom_convex: The atom is convex.

  • is_atom_concave: The atom is not concave.

  • is_incr: The atom is weakly increasing.

  • is_decr: The atom is not weakly decreasing.

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

Slots

x

An '>Expression or numeric constant.