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.
Logistic(x)
# S4 method for class 'Logistic'
to_numeric(object, values)
# S4 method for class 'Logistic'
sign_from_args(object)
# S4 method for class 'Logistic'
is_atom_convex(object)
# S4 method for class 'Logistic'
is_atom_concave(object)
# S4 method for class 'Logistic'
is_incr(object, idx)
# S4 method for class 'Logistic'
is_decr(object, idx)
# S4 method for class 'Logistic'
.grad(object, values)
An Expression or numeric constant.
A Logistic object.
A list of numeric values for the arguments
An index into the atom.
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
x
An Expression or numeric constant.