module athena__activation_leaky_relu !! Module containing implementation of the leaky ReLU activation function !! !! This module implements Leaky ReLU, a variant of ReLU that allows small !! negative values to prevent "dying ReLU" problem. !! !! Mathematical operation: !! \[ f(x) = \begin{cases} x & \text{if } x > 0 \\\\ \alpha x & \text{if } x \leq 0 \end{cases} \] !! !! where \(\alpha\) is a small positive constant (typically 0.01 or 0.2) !! !! Derivative: !! \[ f'(x) = \begin{cases} 1 & \text{if } x > 0 \\\\ \alpha & \text{if } x \leq 0 \end{cases} \] !! !! Properties: Non-saturating, allows gradient flow for negative inputs !! Reference: Maas et al. (2013), ICML use coreutils, only: real32, print_warning use diffstruc, only: array_type, operator(*), max use athena__misc_types, only: base_actv_type use athena__activation_relu, only: relu_actv_type use athena__misc_types, only: onnx_attribute_type implicit none private public :: leaky_relu_actv_type, create_from_onnx_leaky_relu_activation type, extends(relu_actv_type) :: leaky_relu_actv_type real(real32) :: alpha contains procedure, pass(this) :: apply => leaky_relu_activate procedure, pass(this) :: reset => leaky_relu_reset procedure, pass(this) :: apply_attributes => apply_attributes_leaky_relu procedure, pass(this) :: export_attributes => export_attributes_leaky_relu end type leaky_relu_actv_type interface leaky_relu_actv_type procedure initialise end interface leaky_relu_actv_type contains !############################################################################### function initialise(scale, attributes) result(activation) !! Initialise a leaky ReLU activation function implicit none ! Arguments real(real32), intent(in), optional :: scale !! Optional scale factor for activation output type(onnx_attribute_type), dimension(:), intent(in), optional :: attributes !! Optional array of ONNX attributes type(leaky_relu_actv_type) :: activation !! Leaky ReLU activation type call activation%reset() if(present(scale)) activation%scale = scale if(abs(activation%scale-1._real32) .gt. 1.e-6_real32)then activation%apply_scaling = .true. end if if(present(attributes))then call activation%apply_attributes(attributes) end if end function initialise !------------------------------------------------------------------------------- pure subroutine leaky_relu_reset(this) !! Reset leaky ReLU activation function attributes and variables implicit none ! Arguments class(leaky_relu_actv_type), intent(inout) :: this !! Leaky ReLU activation type this%name = "leaky_relu" this%scale = 1._real32 this%threshold = 0._real32 this%alpha = 0.01_real32 this%apply_scaling = .false. end subroutine leaky_relu_reset !------------------------------------------------------------------------------- function create_from_onnx_leaky_relu_activation(attributes) result(activation) !! Create leaky ReLU activation function from ONNX attributes implicit none ! Arguments type(onnx_attribute_type), dimension(:), intent(in) :: attributes !! Array of ONNX attributes class(base_actv_type), allocatable :: activation !! Instance of activation type allocate(activation, source = leaky_relu_actv_type(attributes = attributes)) end function create_from_onnx_leaky_relu_activation !############################################################################### !############################################################################### subroutine apply_attributes_leaky_relu(this, attributes) !! Load ONNX attributes into leaky ReLU activation function implicit none ! Arguments class(leaky_relu_actv_type), intent(inout) :: this !! Leaky ReLU activation type type(onnx_attribute_type), dimension(:), intent(in) :: attributes !! Array of ONNX attributes ! Local variables integer :: i !! Loop variable ! Load provided attributes do i=1, size(attributes,dim=1) select case(trim(attributes(i)%name)) case("scale") read(attributes(i)%val,*) this%scale if(abs(this%scale-1._real32) .gt. 1.e-6_real32)then this%apply_scaling = .true. else this%apply_scaling = .false. end if case("alpha") read(attributes(i)%val,*) this%alpha case("name") if(trim(attributes(i)%val) .ne. trim(this%name))then call print_warning( & 'Leaky ReLU activation: name attribute "' // & trim(attributes(i)%val) // & '"" does not match expected "' // trim(this%name)//'"' & ) end if case default call print_warning( & 'Leaky ReLU activation: unknown attribute '//trim(attributes(i)%name) & ) end select end do end subroutine apply_attributes_leaky_relu !############################################################################### !############################################################################### pure function export_attributes_leaky_relu(this) result(attributes) !! Export leaky ReLU activation function attributes as ONNX attributes implicit none ! Arguments class(leaky_relu_actv_type), intent(in) :: this !! Leaky ReLU activation type type(onnx_attribute_type), allocatable, dimension(:) :: attributes !! Array of ONNX attributes ! Local variables character(50) :: buffer !! Temporary string buffer allocate(attributes(3)) write(buffer, '(A)') this%name attributes(1) = onnx_attribute_type( & "name", "string", trim(adjustl(buffer)) ) write(buffer, '(F10.6)') this%scale attributes(2) = onnx_attribute_type( & "scale", "float", trim(adjustl(buffer)) ) write(buffer, '(F10.6)') this%alpha attributes(3) = onnx_attribute_type( & "alpha", "float", trim(adjustl(buffer)) ) end function export_attributes_leaky_relu !############################################################################### !############################################################################### function leaky_relu_activate(this, val) result(output) !! Apply leaky ReLU activation to 1D array !! !! Computes: f = max(0.01x, x) implicit none ! Arguments class(leaky_relu_actv_type), intent(in) :: this !! Leaky ReLU activation type type(array_type), intent(in) :: val !! Input values type(array_type), pointer :: output !! Activated output values ! allocate(output) if(this%apply_scaling)then output => max(val * this%alpha, val) * this%scale else output => max(val * this%alpha, val) end if end function leaky_relu_activate !############################################################################### end module athena__activation_leaky_relu