Math Vector Library 1.1 Machine Learning Extension
Programming Reference Manual Fortran
Version 1.1 DD-00004-111

4.34 vmlcelud - CELU activation (first derivative)

subroutine vmlcelud(n, y, incy, a, b, c, d, x, incx) 
subroutine vmlceludf(n, y, incy, a, b, c, d, x, incx) 
 
subroutine vmlcelud_64(n, y, incy, a, b, c, d, x, incx) 
subroutine vmlceludf_64(n, y, incy, a, b, c, d, x, incx)

Given an input vector x  , a result vector y  and constants λ and α this function computes the first derivative of the Continuously Differentiable Exponential Linear Unit (CELU) activation function of the values in the x  vector and stores the result in the   y  vector.

  .{1       wherex> 0
y=     (x)
    exp a   wherex≤ 0

4.34.1 Parameters

N - INTEGER

ENTRY: Number of elements of x  and y  .
CONSTRAINT: n ≥1  .

Y - ARRAY OF REAL

EXIT: Result vector y  .
CONSTRAINT: Must contain n× incy  elements.
CONSTRAINT: Must not overlap with array x  .

INCY - INTEGER

ENTRY: Stride for the vector y  .
CONSTRAINT: incy̸= 0  .
BEHAVIOR: A negative stride will traverse the array in reverse.

A - REAL

ENTRY: Constant a .

X - ARRAY OF REAL

ENTRY: Input vector x  .
CONSTRAINT: Must contain n× incx  elements.
CONSTRAINT: Must not overlap with array y  .

INCX - INTEGER

ENTRY: Stride for the vector x  .
CONSTRAINT: incx̸= 0  .
BEHAVIOR: A negative stride will traverse the array in reverse.