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