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

4.22 vmlmishd - MISH activation (first derivative)

subroutine vmlmishd (n, y, incy, x, incx); 
subroutine vmlmishdf(n, y, incy, x, incx); 
 
subroutine vmlmishd_64 (n, y, incy, x, incx); 
subroutine vmlmishdf_64(n, y, incy, x, incx);

Given an input vector x and a result vector y this function computes the first derivative of the MISH activation function of the values in the x vector and stores the result in the y vector.

                    x(----1-----)2
y .= tanh(log(ex+ 1))+ xe-cosh(log(ex+1))--
                       ex+ 1
4.22.1 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.

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.