| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | module athena__initialiser_gaussian | ||
| 2 | !! Module containing the Gaussian initialisation | ||
| 3 | !! | ||
| 4 | !! This module contains the implementation of the Gaussian initialisation | ||
| 5 | !! for the weights and biases of a layer | ||
| 6 | use coreutils, only: real32, pi | ||
| 7 | use athena__misc_types, only: base_init_type | ||
| 8 | implicit none | ||
| 9 | |||
| 10 | |||
| 11 | private | ||
| 12 | |||
| 13 | public :: gaussian_init_type | ||
| 14 | |||
| 15 | |||
| 16 | type, extends(base_init_type) :: gaussian_init_type | ||
| 17 | !! Type for the Gaussian initialiser | ||
| 18 | contains | ||
| 19 | procedure, pass(this) :: initialise => gaussian_initialise | ||
| 20 | !! Initialise the weights and biases using the Gaussian distribution | ||
| 21 | end type gaussian_init_type | ||
| 22 | |||
| 23 | |||
| 24 | interface gaussian_init_type | ||
| 25 | module function initialiser_gaussian_type(name) result(initialiser) | ||
| 26 | !! Interface for the Gaussian initialiser | ||
| 27 | type(gaussian_init_type) :: initialiser | ||
| 28 | !! Gaussian initialiser object | ||
| 29 | character(*), optional, intent(in) :: name | ||
| 30 | !! Name of the initialiser | ||
| 31 | end function initialiser_gaussian_type | ||
| 32 | end interface gaussian_init_type | ||
| 33 | |||
| 34 | |||
| 35 | |||
| 36 | contains | ||
| 37 | |||
| 38 | !############################################################################### | ||
| 39 | 14 | module function initialiser_gaussian_type(name) result(initialiser) | |
| 40 | !! Interface for the Gaussian initialiser | ||
| 41 | implicit none | ||
| 42 | ! Arguments | ||
| 43 | character(*), optional, intent(in) :: name | ||
| 44 | !! Name of the initialiser | ||
| 45 | |||
| 46 | |||
| 47 | type(gaussian_init_type) :: initialiser | ||
| 48 | !! Gaussian initialiser object | ||
| 49 | |||
| 50 | 14 | if(present(name))then | |
| 51 |
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4 | initialiser%name = trim(adjustl(name)) |
| 52 | else | ||
| 53 | 10 | initialiser%name = "gaussian" | |
| 54 | end if | ||
| 55 | |||
| 56 |
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28 | end function initialiser_gaussian_type |
| 57 | !############################################################################### | ||
| 58 | |||
| 59 | |||
| 60 | !############################################################################### | ||
| 61 | 20 | subroutine gaussian_initialise(this, input, fan_in, fan_out, spacing) | |
| 62 | !! Initialise the weights and biases using the Gaussian distribution | ||
| 63 | implicit none | ||
| 64 | |||
| 65 | ! Arguments | ||
| 66 | class(gaussian_init_type), intent(inout) :: this | ||
| 67 | !! Instance of the Gaussian initialiser | ||
| 68 | real(real32), dimension(..), intent(out) :: input | ||
| 69 | !! Weights and biases to initialise | ||
| 70 | integer, optional, intent(in) :: fan_in, fan_out | ||
| 71 | !! Number of input and output parameters | ||
| 72 | integer, dimension(:), optional, intent(in) :: spacing | ||
| 73 | !! Spacing of the input and output units | ||
| 74 | |||
| 75 | ! Local variables | ||
| 76 | integer :: n | ||
| 77 | !! Number of elements in the input array | ||
| 78 | 20 | real(real32), dimension(:), allocatable :: u1, u2, z | |
| 79 | !! Temporary arrays for the random numbers | ||
| 80 | |||
| 81 |
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52 | n = size(input) |
| 82 |
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20 | allocate(u1(n), u2(n), z(n)) |
| 83 | |||
| 84 | 20 | call random_number(u1) | |
| 85 | 20 | call random_number(u2) | |
| 86 |
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6988 | where (u1 .lt. 1.E-7_real32) |
| 87 |
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20 | u1 = 1.E-7_real32 |
| 88 | end where | ||
| 89 | |||
| 90 | ! Box-Muller transform for normal distribution | ||
| 91 |
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6988 | z = sqrt(-2._real32 * log(u1)) * cos(2._real32 * pi * u2) |
| 92 |
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6988 | z = this%mean + this%std * z |
| 93 | |||
| 94 | ! Assign according to rank | ||
| 95 | select rank(input) | ||
| 96 | rank(0) | ||
| 97 |
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2 | input = z(1) |
| 98 | rank(1) | ||
| 99 |
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6976 | input = z |
| 100 | rank(2) | ||
| 101 | ✗ | input = reshape(z, shape(input)) | |
| 102 | rank(3) | ||
| 103 |
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8 | input = reshape(z, shape(input)) |
| 104 | rank(4) | ||
| 105 | ✗ | input = reshape(z, shape(input)) | |
| 106 | rank(5) | ||
| 107 | ✗ | input = reshape(z, shape(input)) | |
| 108 | rank(6) | ||
| 109 |
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14 | input = reshape(z, shape(input)) |
| 110 | end select | ||
| 111 | |||
| 112 |
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20 | deallocate(u1, u2, z) |
| 113 | |||
| 114 |
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20 | end subroutine gaussian_initialise |
| 115 | !############################################################################### | ||
| 116 | |||
| 117 |
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20 | end module athena__initialiser_gaussian |
| 118 |