| 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 sigmoid activation function | ||
| 6 | !!!############################################################################# | ||
| 7 | module activation_sigmoid | ||
| 8 | use constants, only: real12 | ||
| 9 | use custom_types, only: activation_type | ||
| 10 | implicit none | ||
| 11 | |||
| 12 | type, extends(activation_type) :: sigmoid_type | ||
| 13 | contains | ||
| 14 | procedure, pass(this) :: activate_1d => sigmoid_activate_1d | ||
| 15 | procedure, pass(this) :: activate_2d => sigmoid_activate_2d | ||
| 16 | procedure, pass(this) :: activate_3d => sigmoid_activate_3d | ||
| 17 | procedure, pass(this) :: activate_4d => sigmoid_activate_4d | ||
| 18 | procedure, pass(this) :: activate_5d => sigmoid_activate_5d | ||
| 19 | procedure, pass(this) :: differentiate_1d => sigmoid_differentiate_1d | ||
| 20 | procedure, pass(this) :: differentiate_2d => sigmoid_differentiate_2d | ||
| 21 | procedure, pass(this) :: differentiate_3d => sigmoid_differentiate_3d | ||
| 22 | procedure, pass(this) :: differentiate_4d => sigmoid_differentiate_4d | ||
| 23 | procedure, pass(this) :: differentiate_5d => sigmoid_differentiate_5d | ||
| 24 | end type sigmoid_type | ||
| 25 | |||
| 26 | interface sigmoid_setup | ||
| 27 | procedure initialise | ||
| 28 | end interface sigmoid_setup | ||
| 29 | |||
| 30 | |||
| 31 | private | ||
| 32 | |||
| 33 | public :: sigmoid_setup | ||
| 34 | |||
| 35 | |||
| 36 | contains | ||
| 37 | |||
| 38 | !!!############################################################################# | ||
| 39 | !!! initialisation | ||
| 40 | !!!############################################################################# | ||
| 41 | 17 | pure function initialise(threshold, scale) | |
| 42 | implicit none | ||
| 43 | type(sigmoid_type) :: initialise | ||
| 44 | real(real12), optional, intent(in) :: threshold | ||
| 45 | real(real12), optional, intent(in) :: scale | ||
| 46 | |||
| 47 | 17 | initialise%name = "sigmoid" | |
| 48 | |||
| 49 |
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17 | if(present(scale))then |
| 50 | 16 | initialise%scale = scale | |
| 51 | else | ||
| 52 | 1 | initialise%scale = 1._real12 | |
| 53 | end if | ||
| 54 | |||
| 55 |
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17 | if(present(threshold))then |
| 56 | 1 | initialise%threshold = threshold | |
| 57 | else | ||
| 58 | 16 | initialise%threshold = -min(huge(1._real12),32._real12) | |
| 59 | end if | ||
| 60 | !initialise%scale = 1._real12 | ||
| 61 | 17 | end function initialise | |
| 62 | !!!############################################################################# | ||
| 63 | |||
| 64 | |||
| 65 | !!!############################################################################# | ||
| 66 | !!! sigmoid transfer function | ||
| 67 | !!! f = 1/(1+exp(-x)) | ||
| 68 | !!!############################################################################# | ||
| 69 |
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502 | pure function sigmoid_activate_1d(this, val) result(output) |
| 70 | implicit none | ||
| 71 | class(sigmoid_type), intent(in) :: this | ||
| 72 | real(real12), dimension(:), intent(in) :: val | ||
| 73 |
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502 | real(real12), dimension(size(val,dim=1)) :: output |
| 74 | |||
| 75 |
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1004 | where(val.lt.this%threshold) |
| 76 |
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502 | output = 0._real12 |
| 77 | elsewhere | ||
| 78 |
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502 | output = this%scale /(1._real12 + exp(-val)) |
| 79 | end where | ||
| 80 |
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502 | end function sigmoid_activate_1d |
| 81 | !!!----------------------------------------------------------------------------- | ||
| 82 | !!!----------------------------------------------------------------------------- | ||
| 83 |
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1003 | pure function sigmoid_activate_2d(this, val) result(output) |
| 84 | implicit none | ||
| 85 | class(sigmoid_type), intent(in) :: this | ||
| 86 | real(real12), dimension(:,:), intent(in) :: val | ||
| 87 |
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2006 | real(real12), dimension(size(val,1),size(val,2)) :: output |
| 88 | |||
| 89 |
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4010 | where(val.lt.this%threshold) |
| 90 |
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1003 | output = 0._real12 |
| 91 | elsewhere | ||
| 92 |
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1003 | output = this%scale /(1._real12 + exp(-val)) |
| 93 | end where | ||
| 94 |
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2006 | end function sigmoid_activate_2d |
| 95 | !!!----------------------------------------------------------------------------- | ||
| 96 | !!!----------------------------------------------------------------------------- | ||
| 97 |
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3 | pure function sigmoid_activate_3d(this, val) result(output) |
| 98 | implicit none | ||
| 99 | class(sigmoid_type), intent(in) :: this | ||
| 100 | real(real12), dimension(:,:,:), intent(in) :: val | ||
| 101 |
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9 | real(real12), dimension(size(val,1),size(val,2),size(val,3)) :: output |
| 102 | |||
| 103 |
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12 | where(val.lt.this%threshold) |
| 104 |
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3 | output = 0._real12 |
| 105 | elsewhere | ||
| 106 |
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3 | output = this%scale /(1._real12 + exp(-val)) |
| 107 | end where | ||
| 108 |
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9 | end function sigmoid_activate_3d |
| 109 | !!!----------------------------------------------------------------------------- | ||
| 110 | !!!----------------------------------------------------------------------------- | ||
| 111 |
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3 | pure function sigmoid_activate_4d(this, val) result(output) |
| 112 | implicit none | ||
| 113 | class(sigmoid_type), intent(in) :: this | ||
| 114 | real(real12), dimension(:,:,:,:), intent(in) :: val | ||
| 115 | real(real12), dimension(& | ||
| 116 |
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12 | size(val,1),size(val,2),size(val,3),size(val,4)) :: output |
| 117 | |||
| 118 |
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15 | where(val.lt.this%threshold) |
| 119 |
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3 | output = 0._real12 |
| 120 | elsewhere | ||
| 121 |
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|
3 | output = this%scale /(1._real12 + exp(-val)) |
| 122 | end where | ||
| 123 |
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|
12 | end function sigmoid_activate_4d |
| 124 | !!!----------------------------------------------------------------------------- | ||
| 125 | !!!----------------------------------------------------------------------------- | ||
| 126 |
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3 | pure function sigmoid_activate_5d(this, val) result(output) |
| 127 | implicit none | ||
| 128 | class(sigmoid_type), intent(in) :: this | ||
| 129 | real(real12), dimension(:,:,:,:,:), intent(in) :: val | ||
| 130 | real(real12), dimension(& | ||
| 131 |
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|
15 | size(val,1),size(val,2),size(val,3),size(val,4),size(val,5)) :: output |
| 132 | |||
| 133 |
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|
18 | where(val.lt.this%threshold) |
| 134 |
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|
3 | output = 0._real12 |
| 135 | elsewhere | ||
| 136 |
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|
3 | output = this%scale /(1._real12 + exp(-val)) |
| 137 | end where | ||
| 138 |
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|
15 | end function sigmoid_activate_5d |
| 139 | !!!############################################################################# | ||
| 140 | |||
| 141 | |||
| 142 | !!!############################################################################# | ||
| 143 | !!! derivative of sigmoid function | ||
| 144 | !!! df/dx = f * (1 - f) | ||
| 145 | !!!############################################################################# | ||
| 146 |
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|
501 | pure function sigmoid_differentiate_1d(this, val) result(output) |
| 147 | implicit none | ||
| 148 | class(sigmoid_type), intent(in) :: this | ||
| 149 | real(real12), dimension(:), intent(in) :: val | ||
| 150 |
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501 | real(real12), dimension(size(val,dim=1)) :: output |
| 151 | |||
| 152 |
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|
1002 | output = this%activate_1d(val) |
| 153 |
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|
1002 | output = this%scale * output * (this%scale - output) |
| 154 |
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|
501 | end function sigmoid_differentiate_1d |
| 155 | !!!----------------------------------------------------------------------------- | ||
| 156 | !!!----------------------------------------------------------------------------- | ||
| 157 |
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|
501 | pure function sigmoid_differentiate_2d(this, val) result(output) |
| 158 | implicit none | ||
| 159 | class(sigmoid_type), intent(in) :: this | ||
| 160 | real(real12), dimension(:,:), intent(in) :: val | ||
| 161 |
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|
1002 | real(real12), dimension(size(val,1),size(val,2)) :: output |
| 162 | |||
| 163 |
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|
2003 | output = this%activate_2d(val) |
| 164 |
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|
2003 | output = this%scale * output * (this%scale - output) |
| 165 |
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|
1002 | end function sigmoid_differentiate_2d |
| 166 | !!!----------------------------------------------------------------------------- | ||
| 167 | !!!----------------------------------------------------------------------------- | ||
| 168 |
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|
1 | pure function sigmoid_differentiate_3d(this, val) result(output) |
| 169 | implicit none | ||
| 170 | class(sigmoid_type), intent(in) :: this | ||
| 171 | real(real12), dimension(:,:,:), intent(in) :: val | ||
| 172 |
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|
3 | real(real12), dimension(size(val,1),size(val,2),size(val,3)) :: output |
| 173 | |||
| 174 |
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|
4 | output = this%activate_3d(val) |
| 175 |
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|
4 | output = this%scale * output * (this%scale - output) |
| 176 |
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|
3 | end function sigmoid_differentiate_3d |
| 177 | !!!----------------------------------------------------------------------------- | ||
| 178 | !!!----------------------------------------------------------------------------- | ||
| 179 |
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|
1 | pure function sigmoid_differentiate_4d(this, val) result(output) |
| 180 | implicit none | ||
| 181 | class(sigmoid_type), intent(in) :: this | ||
| 182 | real(real12), dimension(:,:,:,:), intent(in) :: val | ||
| 183 | real(real12), dimension(& | ||
| 184 |
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|
4 | size(val,1),size(val,2),size(val,3),size(val,4)) :: output |
| 185 | |||
| 186 |
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|
5 | output = this%activate_4d(val) |
| 187 |
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|
5 | output = this%scale * output * (this%scale - output) |
| 188 |
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|
4 | end function sigmoid_differentiate_4d |
| 189 | !!!----------------------------------------------------------------------------- | ||
| 190 | !!!----------------------------------------------------------------------------- | ||
| 191 |
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|
1 | pure function sigmoid_differentiate_5d(this, val) result(output) |
| 192 | implicit none | ||
| 193 | class(sigmoid_type), intent(in) :: this | ||
| 194 | real(real12), dimension(:,:,:,:,:), intent(in) :: val | ||
| 195 | real(real12), dimension(& | ||
| 196 |
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|
5 | size(val,1),size(val,2),size(val,3),size(val,4),size(val,5)) :: output |
| 197 | |||
| 198 |
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|
6 | output = this%activate_5d(val) |
| 199 |
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|
6 | output = this%scale * output * (this%scale - output) |
| 200 |
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|
5 | end function sigmoid_differentiate_5d |
| 201 | !!!############################################################################# | ||
| 202 | |||
| 203 | 68 | end module activation_sigmoid | |
| 204 |