The natural logarithm of the sum of the elementwise exponential, \(\log\sum_{i=1}^n e^{x_i}\).
LogSumExp(x, axis = NA_real_, keepdims = FALSE)
# S4 method for LogSumExp
to_numeric(object, values)
# S4 method for LogSumExp
.grad(object, values)
# S4 method for LogSumExp
.column_grad(object, value)
# S4 method for LogSumExp
sign_from_args(object)
# S4 method for LogSumExp
is_atom_convex(object)
# S4 method for LogSumExp
is_atom_concave(object)
# S4 method for LogSumExp
is_incr(object, idx)
# S4 method for LogSumExp
is_decr(object, idx)An Expression representing a vector or matrix.
(Optional) The dimension across which to apply the function: 1 indicates rows, 2 indicates columns, and NA indicates rows and columns. The default is NA.
(Optional) Should dimensions be maintained when applying the atom along an axis? If FALSE, result will be collapsed into an \(n x 1\) column vector. The default is FALSE.
A LogSumExp object.
A list of numeric values.
A numeric value.
An index into the atom.
to_numeric(LogSumExp): Evaluates \(e^x\) elementwise, sums, and takes the natural log.
.grad(LogSumExp): Gives the (sub/super)gradient of the atom w.r.t. each variable
.column_grad(LogSumExp): Gives the (sub/super)gradient of the atom w.r.t. each column variable.
sign_from_args(LogSumExp): Returns sign (is positive, is negative) of the atom.
is_atom_convex(LogSumExp): The atom is convex.
is_atom_concave(LogSumExp): The atom is not concave.
is_incr(LogSumExp): The atom is weakly increasing in the index.
is_decr(LogSumExp): The atom is not weakly decreasing in the index.
xAn Expression representing a vector or matrix.
axis(Optional) The dimension across which to apply the function: 1 indicates rows, 2 indicates columns, and NA indicates rows and columns. The default is NA.
keepdims(Optional) Should dimensions be maintained when applying the atom along an axis? If FALSE, result will be collapsed into an \(n x 1\) column vector. The default is FALSE.