| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | !!!############################################################################# | ||
| 2 | !!! Code written by Ned Thaddeus Taylor | ||
| 3 | !!! Code part of the ATHENA library - a feedforward neural network library | ||
| 4 | !!!############################################################################# | ||
| 5 | !!! module contains implementation of the linear activation function | ||
| 6 | !!!############################################################################# | ||
| 7 | module activation_linear | ||
| 8 | use constants, only: real12 | ||
| 9 | use custom_types, only: activation_type | ||
| 10 | implicit none | ||
| 11 | |||
| 12 | type, extends(activation_type) :: linear_type | ||
| 13 | contains | ||
| 14 | procedure, pass(this) :: activate_1d => linear_activate_1d | ||
| 15 | procedure, pass(this) :: activate_2d => linear_activate_2d | ||
| 16 | procedure, pass(this) :: activate_3d => linear_activate_3d | ||
| 17 | procedure, pass(this) :: activate_4d => linear_activate_4d | ||
| 18 | procedure, pass(this) :: activate_5d => linear_activate_5d | ||
| 19 | procedure, pass(this) :: differentiate_1d => linear_differentiate_1d | ||
| 20 | procedure, pass(this) :: differentiate_2d => linear_differentiate_2d | ||
| 21 | procedure, pass(this) :: differentiate_3d => linear_differentiate_3d | ||
| 22 | procedure, pass(this) :: differentiate_4d => linear_differentiate_4d | ||
| 23 | procedure, pass(this) :: differentiate_5d => linear_differentiate_5d | ||
| 24 | end type linear_type | ||
| 25 | |||
| 26 | interface linear_setup | ||
| 27 | procedure initialise | ||
| 28 | end interface linear_setup | ||
| 29 | |||
| 30 | |||
| 31 | private | ||
| 32 | |||
| 33 | public :: linear_setup | ||
| 34 | |||
| 35 | |||
| 36 | contains | ||
| 37 | |||
| 38 | !!!############################################################################# | ||
| 39 | !!! initialisation | ||
| 40 | !!!############################################################################# | ||
| 41 | 9 | pure function initialise(scale) | |
| 42 | implicit none | ||
| 43 | type(linear_type) :: initialise | ||
| 44 | real(real12), optional, intent(in) :: scale | ||
| 45 | |||
| 46 | 9 | initialise%name = "linear" | |
| 47 | |||
| 48 |
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9 | if(present(scale))then |
| 49 | 9 | initialise%scale = scale | |
| 50 | else | ||
| 51 | ✗ | initialise%scale = 1._real12 !0.05_real12 | |
| 52 | end if | ||
| 53 | |||
| 54 | 9 | end function initialise | |
| 55 | !!!############################################################################# | ||
| 56 | |||
| 57 | |||
| 58 | !!!############################################################################# | ||
| 59 | !!! Linear transfer function | ||
| 60 | !!! f = gradient * x | ||
| 61 | !!!############################################################################# | ||
| 62 |
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1 | pure function linear_activate_1d(this, val) result(output) |
| 63 | implicit none | ||
| 64 | class(linear_type), intent(in) :: this | ||
| 65 | real(real12), dimension(:), intent(in) :: val | ||
| 66 |
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1 | real(real12), dimension(size(val,dim=1)) :: output |
| 67 | |||
| 68 |
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2 | output = this%scale * val |
| 69 |
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1 | end function linear_activate_1d |
| 70 | !!!----------------------------------------------------------------------------- | ||
| 71 | !!!----------------------------------------------------------------------------- | ||
| 72 |
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1 | pure function linear_activate_2d(this, val) result(output) |
| 73 | implicit none | ||
| 74 | class(linear_type), intent(in) :: this | ||
| 75 | real(real12), dimension(:,:), intent(in) :: val | ||
| 76 |
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2 | real(real12), dimension(size(val,1),size(val,2)) :: output |
| 77 | |||
| 78 |
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3 | output = this%scale * val |
| 79 |
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2 | end function linear_activate_2d |
| 80 | !!!----------------------------------------------------------------------------- | ||
| 81 | !!!----------------------------------------------------------------------------- | ||
| 82 |
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1 | pure function linear_activate_3d(this, val) result(output) |
| 83 | implicit none | ||
| 84 | class(linear_type), intent(in) :: this | ||
| 85 | real(real12), dimension(:,:,:), intent(in) :: val | ||
| 86 |
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3 | real(real12), dimension(size(val,1),size(val,2),size(val,3)) :: output |
| 87 | |||
| 88 |
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4 | output = this%scale * val |
| 89 |
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3 | end function linear_activate_3d |
| 90 | !!!----------------------------------------------------------------------------- | ||
| 91 | !!!----------------------------------------------------------------------------- | ||
| 92 |
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5 | pure function linear_activate_4d(this, val) result(output) |
| 93 | implicit none | ||
| 94 | class(linear_type), intent(in) :: this | ||
| 95 | real(real12), dimension(:,:,:,:), intent(in) :: val | ||
| 96 | real(real12), dimension(& | ||
| 97 |
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20 | size(val,1),size(val,2),size(val,3),size(val,4)) :: output |
| 98 | |||
| 99 |
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469 | output = this%scale * val |
| 100 |
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20 | end function linear_activate_4d |
| 101 | !!!----------------------------------------------------------------------------- | ||
| 102 | !!!----------------------------------------------------------------------------- | ||
| 103 |
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5 | pure function linear_activate_5d(this, val) result(output) |
| 104 | implicit none | ||
| 105 | class(linear_type), intent(in) :: this | ||
| 106 | real(real12), dimension(:,:,:,:,:), intent(in) :: val | ||
| 107 | real(real12), dimension(& | ||
| 108 |
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25 | size(val,1),size(val,2),size(val,3),size(val,4),size(val,5)) :: output |
| 109 | |||
| 110 |
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|
1902 | output = this%scale * val |
| 111 |
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|
25 | end function linear_activate_5d |
| 112 | !!!############################################################################# | ||
| 113 | |||
| 114 | |||
| 115 | !!!############################################################################# | ||
| 116 | !!! derivative of linear transfer function | ||
| 117 | !!! e.g. df/dx (gradient * x) = gradient | ||
| 118 | !!! we are performing the derivative to identify what weight ... | ||
| 119 | !!! ... results in the minimum error | ||
| 120 | !!!############################################################################# | ||
| 121 |
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5 | pure function linear_differentiate_1d(this, val) result(output) |
| 122 | implicit none | ||
| 123 | class(linear_type), intent(in) :: this | ||
| 124 | real(real12), dimension(:), intent(in) :: val | ||
| 125 |
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5 | real(real12), dimension(size(val,dim=1)) :: output |
| 126 | |||
| 127 |
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|
10 | output = this%scale * val |
| 128 |
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5 | end function linear_differentiate_1d |
| 129 | !!!----------------------------------------------------------------------------- | ||
| 130 | !!!----------------------------------------------------------------------------- | ||
| 131 |
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1 | pure function linear_differentiate_2d(this, val) result(output) |
| 132 | implicit none | ||
| 133 | class(linear_type), intent(in) :: this | ||
| 134 | real(real12), dimension(:,:), intent(in) :: val | ||
| 135 |
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2 | real(real12), dimension(size(val,1),size(val,2)) :: output |
| 136 | |||
| 137 |
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3 | output = this%scale * val |
| 138 |
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2 | end function linear_differentiate_2d |
| 139 | !!!----------------------------------------------------------------------------- | ||
| 140 | !!!----------------------------------------------------------------------------- | ||
| 141 |
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1 | pure function linear_differentiate_3d(this, val) result(output) |
| 142 | implicit none | ||
| 143 | class(linear_type), intent(in) :: this | ||
| 144 | real(real12), dimension(:,:,:), intent(in) :: val | ||
| 145 |
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3 | real(real12), dimension(size(val,1),size(val,2),size(val,3)) :: output |
| 146 | |||
| 147 |
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|
4 | output = this%scale * val |
| 148 |
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3 | end function linear_differentiate_3d |
| 149 | !!!----------------------------------------------------------------------------- | ||
| 150 | !!!----------------------------------------------------------------------------- | ||
| 151 |
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3 | pure function linear_differentiate_4d(this, val) result(output) |
| 152 | implicit none | ||
| 153 | class(linear_type), intent(in) :: this | ||
| 154 | real(real12), dimension(:,:,:,:), intent(in) :: val | ||
| 155 | real(real12), dimension(& | ||
| 156 |
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12 | size(val,1),size(val,2),size(val,3),size(val,4)) :: output |
| 157 | |||
| 158 |
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|
237 | output = this%scale * val |
| 159 |
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|
12 | end function linear_differentiate_4d |
| 160 | !!!----------------------------------------------------------------------------- | ||
| 161 | !!!----------------------------------------------------------------------------- | ||
| 162 |
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3 | pure function linear_differentiate_5d(this, val) result(output) |
| 163 | implicit none | ||
| 164 | class(linear_type), intent(in) :: this | ||
| 165 | real(real12), dimension(:,:,:,:,:), intent(in) :: val | ||
| 166 | real(real12), dimension(& | ||
| 167 |
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|
15 | size(val,1),size(val,2),size(val,3),size(val,4),size(val,5)) :: output |
| 168 | |||
| 169 |
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|
954 | output = this%scale * val |
| 170 |
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|
15 | end function linear_differentiate_5d |
| 171 | !!!############################################################################# | ||
| 172 | |||
| 173 | 31 | end module activation_linear | |
| 174 |