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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 a 3D batch normalisation layer | ||
6 | !!!############################################################################# | ||
7 | module batchnorm3d_layer | ||
8 | use constants, only: real12 | ||
9 | use base_layer, only: batch_layer_type, learnable_layer_type | ||
10 | use custom_types, only: initialiser_type | ||
11 | implicit none | ||
12 | |||
13 | |||
14 | type, extends(batch_layer_type) :: batchnorm3d_layer_type | ||
15 | real(real12), allocatable, dimension(:,:,:,:,:) :: output | ||
16 | real(real12), allocatable, dimension(:,:,:,:,:) :: di ! gradient of input (i.e. delta) | ||
17 | contains | ||
18 | procedure, pass(this) :: get_output => get_output_batchnorm3d | ||
19 | procedure, pass(this) :: init => init_batchnorm3d | ||
20 | procedure, pass(this) :: set_batch_size => set_batch_size_batchnorm3d | ||
21 | procedure, pass(this) :: print => print_batchnorm3d | ||
22 | |||
23 | procedure, pass(this) :: forward => forward_rank | ||
24 | procedure, pass(this) :: backward => backward_rank | ||
25 | procedure, private, pass(this) :: forward_5d | ||
26 | procedure, private, pass(this) :: backward_5d | ||
27 | |||
28 | procedure, pass(this) :: reduce => layer_reduction | ||
29 | procedure, pass(this) :: merge => layer_merge | ||
30 | procedure :: add_t_t => layer_add !t = type, r = real, i = int | ||
31 | generic :: operator(+) => add_t_t !, public | ||
32 | end type batchnorm3d_layer_type | ||
33 | |||
34 | |||
35 | interface batchnorm3d_layer_type | ||
36 | module function layer_setup( & | ||
37 | input_shape, batch_size, & | ||
38 | momentum, epsilon, & | ||
39 | gamma_init_mean, gamma_init_std, & | ||
40 | beta_init_mean, beta_init_std, & | ||
41 | kernel_initialiser, bias_initialiser, & | ||
42 | moving_mean_initialiser, moving_variance_initialiser & | ||
43 | ) result(layer) | ||
44 | integer, dimension(:), optional, intent(in) :: input_shape | ||
45 | integer, optional, intent(in) :: batch_size | ||
46 | real(real12), optional, intent(in) :: momentum, epsilon | ||
47 | real(real12), optional, intent(in) :: gamma_init_mean, gamma_init_std | ||
48 | real(real12), optional, intent(in) :: beta_init_mean, beta_init_std | ||
49 | character(*), optional, intent(in) :: & | ||
50 | kernel_initialiser, bias_initialiser, & | ||
51 | moving_mean_initialiser, moving_variance_initialiser | ||
52 | type(batchnorm3d_layer_type) :: layer | ||
53 | end function layer_setup | ||
54 | end interface batchnorm3d_layer_type | ||
55 | |||
56 | |||
57 | private | ||
58 | public :: batchnorm3d_layer_type | ||
59 | public :: read_batchnorm3d_layer | ||
60 | |||
61 | |||
62 | contains | ||
63 | |||
64 | !!!############################################################################# | ||
65 | !!! layer reduction | ||
66 | !!!############################################################################# | ||
67 | 1 | subroutine layer_reduction(this, rhs) | |
68 | implicit none | ||
69 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
70 | class(learnable_layer_type), intent(in) :: rhs | ||
71 | |||
72 | select type(rhs) | ||
73 | class is(batchnorm3d_layer_type) | ||
74 |
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2 | this%dg = this%dg + rhs%dg |
75 |
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3 | this%db = this%db + rhs%db |
76 | end select | ||
77 | |||
78 | 1 | end subroutine layer_reduction | |
79 | !!!############################################################################# | ||
80 | |||
81 | |||
82 | !!!############################################################################# | ||
83 | !!! layer addition | ||
84 | !!!############################################################################# | ||
85 | 1 | function layer_add(a, b) result(output) | |
86 | implicit none | ||
87 | class(batchnorm3d_layer_type), intent(in) :: a, b | ||
88 | type(batchnorm3d_layer_type) :: output | ||
89 | |||
90 |
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1 | output = a |
91 |
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2 | output%dg = output%dg + b%dg |
92 |
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2 | output%db = output%db + b%db |
93 | |||
94 |
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2 | end function layer_add |
95 | !!!############################################################################# | ||
96 | |||
97 | |||
98 | !!!############################################################################# | ||
99 | !!! layer merge | ||
100 | !!!############################################################################# | ||
101 | 1 | subroutine layer_merge(this, input) | |
102 | implicit none | ||
103 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
104 | class(learnable_layer_type), intent(in) :: input | ||
105 | |||
106 | select type(input) | ||
107 | class is(batchnorm3d_layer_type) | ||
108 |
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2 | this%dg = this%dg + input%dg |
109 |
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3 | this%db = this%db + input%db |
110 | end select | ||
111 | |||
112 | 1 | end subroutine layer_merge | |
113 | !!!############################################################################# | ||
114 | |||
115 | |||
116 | !!!##########################################################################!!! | ||
117 | !!! * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * !!! | ||
118 | !!!##########################################################################!!! | ||
119 | |||
120 | |||
121 | !!!############################################################################# | ||
122 | !!! get layer outputs | ||
123 | !!!############################################################################# | ||
124 | 4 | pure subroutine get_output_batchnorm3d(this, output) | |
125 | implicit none | ||
126 | class(batchnorm3d_layer_type), intent(in) :: this | ||
127 | real(real12), allocatable, dimension(..), intent(out) :: output | ||
128 | |||
129 | select rank(output) | ||
130 | rank(1) | ||
131 |
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7 | output = reshape(this%output, [size(this%output)]) |
132 | rank(2) | ||
133 | output = & | ||
134 |
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7 | reshape(this%output, [product(this%output_shape),this%batch_size]) |
135 | rank(5) | ||
136 |
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3514 | output = this%output |
137 | end select | ||
138 | |||
139 | 4 | end subroutine get_output_batchnorm3d | |
140 | !!!############################################################################# | ||
141 | |||
142 | |||
143 | !!!##########################################################################!!! | ||
144 | !!! * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * !!! | ||
145 | !!!##########################################################################!!! | ||
146 | |||
147 | |||
148 | |||
149 | !!!############################################################################# | ||
150 | !!! forward propagation assumed rank handler | ||
151 | !!!############################################################################# | ||
152 | 2 | pure subroutine forward_rank(this, input) | |
153 | implicit none | ||
154 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
155 | real(real12), dimension(..), intent(in) :: input | ||
156 | |||
157 | select rank(input); rank(5) | ||
158 | 2 | call forward_5d(this, input) | |
159 | end select | ||
160 | 2 | end subroutine forward_rank | |
161 | !!!############################################################################# | ||
162 | |||
163 | |||
164 | !!!############################################################################# | ||
165 | !!! backward propagation assumed rank handler | ||
166 | !!!############################################################################# | ||
167 | 1 | pure subroutine backward_rank(this, input, gradient) | |
168 | implicit none | ||
169 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
170 | real(real12), dimension(..), intent(in) :: input | ||
171 | real(real12), dimension(..), intent(in) :: gradient | ||
172 | |||
173 | select rank(input); rank(5) | ||
174 | 1 | select rank(gradient); rank(5) | |
175 | 1 | call backward_5d(this, input, gradient) | |
176 | end select | ||
177 | end select | ||
178 | 1 | end subroutine backward_rank | |
179 | !!!############################################################################# | ||
180 | |||
181 | |||
182 | !!!##########################################################################!!! | ||
183 | !!! * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * !!! | ||
184 | !!!##########################################################################!!! | ||
185 | |||
186 | |||
187 | !!!############################################################################# | ||
188 | !!! set up layer | ||
189 | !!!############################################################################# | ||
190 | 3 | module function layer_setup( & | |
191 |
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3 | input_shape, batch_size, & |
192 | momentum, epsilon, & | ||
193 | gamma_init_mean, gamma_init_std, & | ||
194 | beta_init_mean, beta_init_std, & | ||
195 | kernel_initialiser, bias_initialiser, & | ||
196 | moving_mean_initialiser, moving_variance_initialiser & | ||
197 | ) result(layer) | ||
198 | use initialiser, only: get_default_initialiser | ||
199 | implicit none | ||
200 | integer, dimension(:), optional, intent(in) :: input_shape | ||
201 | integer, optional, intent(in) :: batch_size | ||
202 | real(real12), optional, intent(in) :: momentum, epsilon | ||
203 | real(real12), optional, intent(in) :: gamma_init_mean, gamma_init_std | ||
204 | real(real12), optional, intent(in) :: beta_init_mean, beta_init_std | ||
205 | character(*), optional, intent(in) :: & | ||
206 | kernel_initialiser, bias_initialiser, & | ||
207 | moving_mean_initialiser, moving_variance_initialiser | ||
208 | |||
209 | type(batchnorm3d_layer_type) :: layer | ||
210 | |||
211 | |||
212 |
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3 | layer%name = "batchnorm3d" |
213 | 3 | layer%input_rank = 4 | |
214 | !!-------------------------------------------------------------------------- | ||
215 | !! initialise batch size | ||
216 | !!-------------------------------------------------------------------------- | ||
217 |
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3 | if(present(batch_size)) layer%batch_size = batch_size |
218 | |||
219 | |||
220 | !!-------------------------------------------------------------------------- | ||
221 | !! set up momentum and epsilon | ||
222 | !!-------------------------------------------------------------------------- | ||
223 |
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3 | if(present(momentum))then |
224 | 1 | layer%momentum = momentum | |
225 | else | ||
226 | 2 | layer%momentum = 0._real12 | |
227 | end if | ||
228 |
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3 | if(present(epsilon))then |
229 | 1 | layer%epsilon = epsilon | |
230 | else | ||
231 | 2 | layer%epsilon = 1.E-5_real12 | |
232 | end if | ||
233 | |||
234 | |||
235 | !!-------------------------------------------------------------------------- | ||
236 | !! set up initialiser mean and standard deviations | ||
237 | !!-------------------------------------------------------------------------- | ||
238 |
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3 | if(present(gamma_init_mean)) layer%gamma_init_mean = gamma_init_mean |
239 |
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3 | if(present(gamma_init_std)) layer%gamma_init_std = gamma_init_std |
240 |
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3 | if(present(beta_init_mean)) layer%beta_init_mean = beta_init_mean |
241 |
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3 | if(present(beta_init_std)) layer%beta_init_std = beta_init_std |
242 | |||
243 | |||
244 | !!-------------------------------------------------------------------------- | ||
245 | !! define gamma and beta initialisers | ||
246 | !!-------------------------------------------------------------------------- | ||
247 |
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3 | if(present(kernel_initialiser)) layer%kernel_initialiser = kernel_initialiser |
248 |
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3 | if(trim(layer%kernel_initialiser).eq.'') & |
249 | 2 | layer%kernel_initialiser = 'ones' | |
250 | !get_default_initialiser("batch") | ||
251 | write(*,'("BATCHNORM3D kernel (gamma) initialiser: ",A)') & | ||
252 |
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3 | trim(layer%kernel_initialiser) |
253 |
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3 | if(present(bias_initialiser)) layer%bias_initialiser = bias_initialiser |
254 |
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3 | if(trim(layer%bias_initialiser).eq.'') & |
255 | 2 | layer%bias_initialiser = 'zeros' | |
256 | !get_default_initialiser("batch") | ||
257 | write(*,'("BATCHNORM3D bias (beta) initialiser: ",A)') & | ||
258 |
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3 | trim(layer%bias_initialiser) |
259 | |||
260 |
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3 | if(present(moving_mean_initialiser)) & |
261 |
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1 | layer%moving_mean_initialiser = moving_mean_initialiser |
262 |
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3 | if(trim(layer%moving_mean_initialiser).eq.'') & |
263 | 2 | layer%moving_mean_initialiser = 'zeros' | |
264 | !get_default_initialiser("batch") | ||
265 | write(*,'("BATCHNORM3D moving mean initialiser: ",A)') & | ||
266 |
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3 | trim(layer%moving_mean_initialiser) |
267 |
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3 | if(present(moving_variance_initialiser)) & |
268 |
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1 | layer%moving_variance_initialiser = moving_variance_initialiser |
269 |
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3 | if(trim(layer%moving_variance_initialiser).eq.'') & |
270 | 2 | layer%moving_variance_initialiser = 'ones' | |
271 | !get_default_initialiser("batch") | ||
272 | write(*,'("BATCHNORM3D moving variance initialiser: ",A)') & | ||
273 |
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3 | trim(layer%moving_variance_initialiser) |
274 | |||
275 | |||
276 | !!-------------------------------------------------------------------------- | ||
277 | !! initialise layer shape | ||
278 | !!-------------------------------------------------------------------------- | ||
279 |
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3 | if(present(input_shape)) call layer%init(input_shape=input_shape) |
280 | |||
281 |
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6 | end function layer_setup |
282 | !!!############################################################################# | ||
283 | |||
284 | |||
285 | !!!############################################################################# | ||
286 | !!! initialise layer | ||
287 | !!!############################################################################# | ||
288 |
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3 | subroutine init_batchnorm3d(this, input_shape, batch_size, verbose) |
289 | use initialiser, only: initialiser_setup | ||
290 | implicit none | ||
291 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
292 | integer, dimension(:), intent(in) :: input_shape | ||
293 | integer, optional, intent(in) :: batch_size | ||
294 | integer, optional, intent(in) :: verbose | ||
295 | |||
296 | integer :: verbose_ = 0 | ||
297 | 6 | class(initialiser_type), allocatable :: t_initialiser | |
298 | |||
299 | |||
300 | !!-------------------------------------------------------------------------- | ||
301 | !! initialise optional arguments | ||
302 | !!-------------------------------------------------------------------------- | ||
303 |
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3 | if(present(verbose)) verbose_ = verbose |
304 |
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3 | if(present(batch_size)) this%batch_size = batch_size |
305 | |||
306 | |||
307 | !!-------------------------------------------------------------------------- | ||
308 | !! initialise input shape | ||
309 | !!-------------------------------------------------------------------------- | ||
310 |
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3 | if(.not.allocated(this%input_shape)) call this%set_shape(input_shape) |
311 | |||
312 | |||
313 | !!----------------------------------------------------------------------- | ||
314 | !! set up number of channels, width, height | ||
315 | !!----------------------------------------------------------------------- | ||
316 |
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15 | this%output_shape = this%input_shape |
317 |
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3 | this%num_channels = this%input_shape(this%input_rank) |
318 | |||
319 | |||
320 | !!----------------------------------------------------------------------- | ||
321 | !! allocate mean, variance, gamma, beta, dg, db | ||
322 | !!----------------------------------------------------------------------- | ||
323 |
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8 | allocate(this%mean(this%num_channels), source=0._real12) |
324 |
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8 | allocate(this%variance, source=this%mean) |
325 |
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8 | allocate(this%gamma, source=this%mean) |
326 |
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8 | allocate(this%beta, source=this%mean) |
327 |
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8 | allocate(this%dg, source=this%mean) |
328 |
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8 | allocate(this%db, source=this%mean) |
329 | |||
330 | |||
331 | !!----------------------------------------------------------------------- | ||
332 | !! initialise gamma | ||
333 | !!----------------------------------------------------------------------- | ||
334 |
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6 | allocate(t_initialiser, source=initialiser_setup(this%kernel_initialiser)) |
335 | 3 | t_initialiser%mean = this%gamma_init_mean | |
336 | 3 | t_initialiser%std = this%gamma_init_std | |
337 | 12 | call t_initialiser%initialise(this%gamma, & | |
338 | fan_in =this%num_channels, & | ||
339 |
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3 | fan_out=this%num_channels) |
340 |
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3 | deallocate(t_initialiser) |
341 | |||
342 | !! initialise beta | ||
343 | !!----------------------------------------------------------------------- | ||
344 |
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6 | allocate(t_initialiser, source=initialiser_setup(this%bias_initialiser)) |
345 | 3 | t_initialiser%mean = this%beta_init_mean | |
346 | 3 | t_initialiser%std = this%beta_init_std | |
347 | 12 | call t_initialiser%initialise(this%beta, & | |
348 | fan_in =this%num_channels, & | ||
349 |
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3 | fan_out=this%num_channels) |
350 |
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3 | deallocate(t_initialiser) |
351 | |||
352 | |||
353 | !!----------------------------------------------------------------------- | ||
354 | !! initialise moving mean | ||
355 | !!----------------------------------------------------------------------- | ||
356 | ✗ | allocate(t_initialiser, & | |
357 |
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6 | source=initialiser_setup(this%moving_mean_initialiser)) |
358 | 12 | call t_initialiser%initialise(this%mean, & | |
359 | fan_in =this%num_channels, & | ||
360 |
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3 | fan_out=this%num_channels) |
361 |
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3 | deallocate(t_initialiser) |
362 | |||
363 | !! initialise moving variance | ||
364 | !!----------------------------------------------------------------------- | ||
365 | ✗ | allocate(t_initialiser, & | |
366 |
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6 | source=initialiser_setup(this%moving_variance_initialiser)) |
367 | 12 | call t_initialiser%initialise(this%variance, & | |
368 | fan_in =this%num_channels, & | ||
369 |
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3 | fan_out=this%num_channels) |
370 |
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3 | deallocate(t_initialiser) |
371 | |||
372 | |||
373 | !!-------------------------------------------------------------------------- | ||
374 | !! initialise batch size-dependent arrays | ||
375 | !!-------------------------------------------------------------------------- | ||
376 |
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3 | if(this%batch_size.gt.0) call this%set_batch_size(this%batch_size) |
377 | |||
378 |
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15 | end subroutine init_batchnorm3d |
379 | !!!############################################################################# | ||
380 | |||
381 | |||
382 | !!!############################################################################# | ||
383 | !!! set batch size | ||
384 | !!!############################################################################# | ||
385 | 3 | subroutine set_batch_size_batchnorm3d(this, batch_size, verbose) | |
386 | implicit none | ||
387 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
388 | integer, intent(in) :: batch_size | ||
389 | integer, optional, intent(in) :: verbose | ||
390 | |||
391 | integer :: verbose_ = 0 | ||
392 | |||
393 | |||
394 | !!-------------------------------------------------------------------------- | ||
395 | !! initialise optional arguments | ||
396 | !!-------------------------------------------------------------------------- | ||
397 |
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3 | if(present(verbose)) verbose_ = verbose |
398 | 3 | this%batch_size = batch_size | |
399 | |||
400 | |||
401 | !!-------------------------------------------------------------------------- | ||
402 | !! set norm | ||
403 | !!-------------------------------------------------------------------------- | ||
404 | this%norm = real( & | ||
405 | this%batch_size * & | ||
406 |
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12 | product(this%input_shape(1:this%input_rank-1) ),real12) |
407 | |||
408 | |||
409 | !!-------------------------------------------------------------------------- | ||
410 | !! allocate arrays | ||
411 | !!-------------------------------------------------------------------------- | ||
412 |
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3 | if(allocated(this%input_shape))then |
413 |
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3 | if(allocated(this%output)) deallocate(this%output) |
414 | ✗ | allocate(this%output( & | |
415 | 6 | this%output_shape(1), & | |
416 | 6 | this%output_shape(2), & | |
417 | 6 | this%output_shape(3), this%num_channels, & | |
418 | this%batch_size), & | ||
419 |
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1791 | source=0._real12) |
420 |
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3 | if(allocated(this%di)) deallocate(this%di) |
421 |
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1791 | allocate(this%di, source=this%output) |
422 | end if | ||
423 | |||
424 | 3 | end subroutine set_batch_size_batchnorm3d | |
425 | !!!############################################################################# | ||
426 | |||
427 | |||
428 | !!!##########################################################################!!! | ||
429 | !!! * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * !!! | ||
430 | !!!##########################################################################!!! | ||
431 | |||
432 | |||
433 | !!!############################################################################# | ||
434 | !!! print layer to file | ||
435 | !!!############################################################################# | ||
436 | ✗ | subroutine print_batchnorm3d(this, file) | |
437 | implicit none | ||
438 | class(batchnorm3d_layer_type), intent(in) :: this | ||
439 | character(*), intent(in) :: file | ||
440 | |||
441 | integer :: unit | ||
442 | integer :: m | ||
443 | |||
444 | !! open file with new unit | ||
445 | !!-------------------------------------------------------------------------- | ||
446 | ✗ | open(newunit=unit, file=trim(file), access='append') | |
447 | |||
448 | !! write convolution initial parameters | ||
449 | !!-------------------------------------------------------------------------- | ||
450 | ✗ | write(unit,'("BATCHNORM3D")') | |
451 | ✗ | write(unit,'(3X,"INPUT_SHAPE = ",3(1X,I0))') this%input_shape | |
452 | ✗ | write(unit,'(3X,"MOMENTUM = ",F0.9)') this%momentum | |
453 | ✗ | write(unit,'(3X,"EPSILON = ",F0.9)') this%epsilon | |
454 | ✗ | write(unit,'(3X,"NUM_CHANNELS = ",I0)') this%num_channels | |
455 | ✗ | write(unit,'("GAMMA")') | |
456 | ✗ | do m=1,this%num_channels | |
457 | ✗ | write(unit,'(5(E16.8E2))') this%gamma(m) | |
458 | end do | ||
459 | ✗ | write(unit,'("END GAMMA")') | |
460 | ✗ | write(unit,'("BETA")') | |
461 | ✗ | do m=1,this%num_channels | |
462 | ✗ | write(unit,'(5(E16.8E2))') this%beta(m) | |
463 | end do | ||
464 | ✗ | write(unit,'("END BETA")') | |
465 | ✗ | write(unit,'("END BATCHNORM3D")') | |
466 | |||
467 | !! close unit | ||
468 | !!-------------------------------------------------------------------------- | ||
469 | ✗ | close(unit) | |
470 | |||
471 | ✗ | end subroutine print_batchnorm3d | |
472 | !!!############################################################################# | ||
473 | |||
474 | |||
475 | !!!############################################################################# | ||
476 | !!! read layer from file | ||
477 | !!!############################################################################# | ||
478 | ✗ | function read_batchnorm3d_layer(unit, verbose) result(layer) | |
479 | use infile_tools, only: assign_val, assign_vec | ||
480 | use misc, only: to_lower, icount | ||
481 | implicit none | ||
482 | integer, intent(in) :: unit | ||
483 | integer, optional, intent(in) :: verbose | ||
484 | |||
485 | class(batchnorm3d_layer_type), allocatable :: layer | ||
486 | |||
487 | integer :: stat, verbose_ = 0 | ||
488 | integer :: itmp1, c, i, j, k | ||
489 | integer :: num_channels | ||
490 | real(real12) :: momentum = 0._real12, epsilon = 1.E-5_real12 | ||
491 | logical :: found_gamma=.false., found_beta=.false. | ||
492 | character(14) :: kernel_initialiser='', bias_initialiser='' | ||
493 | character(256) :: buffer, tag | ||
494 | |||
495 | integer, dimension(3) :: input_shape | ||
496 | ✗ | real(real12), allocatable, dimension(:) :: data_list | |
497 | |||
498 | |||
499 | !!-------------------------------------------------------------------------- | ||
500 | !! initialise optional arguments | ||
501 | !!-------------------------------------------------------------------------- | ||
502 | ✗ | if(present(verbose)) verbose_ = verbose | |
503 | |||
504 | |||
505 | !!-------------------------------------------------------------------------- | ||
506 | !! loop over tags in layer card | ||
507 | !!-------------------------------------------------------------------------- | ||
508 | ✗ | tag_loop: do | |
509 | |||
510 | !! check for end of file | ||
511 | ✗ | read(unit,'(A)',iostat=stat) buffer | |
512 | ✗ | if(stat.ne.0)then | |
513 | ✗ | write(0,*) "ERROR: file encountered error (EoF?) before END BATCHNORM3D" | |
514 | ✗ | stop "Exiting..." | |
515 | end if | ||
516 | ✗ | if(trim(adjustl(buffer)).eq."") cycle tag_loop | |
517 | |||
518 | !! check for end of convolution card | ||
519 | ✗ | if(trim(adjustl(buffer)).eq."END BATCHNORM3D")then | |
520 | ✗ | backspace(unit) | |
521 | ✗ | exit tag_loop | |
522 | end if | ||
523 | |||
524 | ✗ | tag=trim(adjustl(buffer)) | |
525 | ✗ | if(scan(buffer,"=").ne.0) tag=trim(tag(:scan(tag,"=")-1)) | |
526 | |||
527 | !! read parameters from save file | ||
528 | ✗ | select case(trim(tag)) | |
529 | case("INPUT_SHAPE") | ||
530 | ✗ | call assign_vec(buffer, input_shape, itmp1) | |
531 | case("MOMENTUM") | ||
532 | ✗ | call assign_val(buffer, momentum, itmp1) | |
533 | case("EPSILON") | ||
534 | ✗ | call assign_val(buffer, epsilon, itmp1) | |
535 | case("KERNEL_INITIALISER") | ||
536 | ✗ | call assign_val(buffer, kernel_initialiser, itmp1) | |
537 | case("BIAS_INITIALISER") | ||
538 | ✗ | call assign_val(buffer, bias_initialiser, itmp1) | |
539 | case("GAMMA") | ||
540 | ✗ | found_gamma = .true. | |
541 | ✗ | kernel_initialiser = 'zeros' | |
542 | ✗ | bias_initialiser = 'zeros' | |
543 | ✗ | exit tag_loop | |
544 | case("beta") | ||
545 | ✗ | found_beta = .true. | |
546 | ✗ | kernel_initialiser = 'zeros' | |
547 | ✗ | bias_initialiser = 'zeros' | |
548 | ✗ | exit tag_loop | |
549 | case default | ||
550 | !! don't look for "e" due to scientific notation of numbers | ||
551 | !! ... i.e. exponent (E+00) | ||
552 | ✗ | if(scan(to_lower(trim(adjustl(buffer))),& | |
553 | 'abcdfghijklmnopqrstuvwxyz').eq.0)then | ||
554 | ✗ | cycle tag_loop | |
555 | ✗ | elseif(tag(:3).eq.'END')then | |
556 | ✗ | cycle tag_loop | |
557 | end if | ||
558 | ✗ | stop "Unrecognised line in input file: "//trim(adjustl(buffer)) | |
559 | end select | ||
560 | end do tag_loop | ||
561 | |||
562 | |||
563 | !!-------------------------------------------------------------------------- | ||
564 | !! set transfer activation function | ||
565 | !!-------------------------------------------------------------------------- | ||
566 | ✗ | num_channels = input_shape(size(input_shape,1)) | |
567 | layer = batchnorm3d_layer_type( input_shape=input_shape, & | ||
568 | momentum = momentum, epsilon = epsilon & | ||
569 | ✗ | ) | |
570 | |||
571 | |||
572 | !!-------------------------------------------------------------------------- | ||
573 | !! check if WEIGHTS card was found | ||
574 | !!-------------------------------------------------------------------------- | ||
575 | ✗ | allocate(data_list(num_channels), source=0._real12) | |
576 | ✗ | do i=1,2 | |
577 | ✗ | if(found_gamma.or.found_beta)then | |
578 | ✗ | c = 1 | |
579 | ✗ | k = 1 | |
580 | ✗ | data_list = 0._real12 | |
581 | ✗ | data_concat_loop: do while(c.le.num_channels) | |
582 | ✗ | read(unit,'(A)',iostat=stat) buffer | |
583 | ✗ | if(stat.ne.0) exit data_concat_loop | |
584 | ✗ | k = icount(buffer) | |
585 | ✗ | read(buffer,*,iostat=stat) (data_list(j),j=c,c+k-1) | |
586 | ✗ | c = c + k | |
587 | end do data_concat_loop | ||
588 | ✗ | if(found_gamma)then | |
589 | ✗ | layer%gamma = data_list | |
590 | ✗ | found_gamma = .false. | |
591 | ✗ | elseif(found_beta)then | |
592 | ✗ | layer%beta = data_list | |
593 | ✗ | found_beta = .false. | |
594 | end if | ||
595 | ✗ | read(unit,'(A)',iostat=stat) buffer | |
596 | ✗ | if(index(trim(adjustl(buffer)),"GAMMA").eq.1) found_gamma = .true. | |
597 | ✗ | if(index(trim(adjustl(buffer)),"BETA").eq.1) found_beta = .true. | |
598 | end if | ||
599 | end do | ||
600 | ✗ | deallocate(data_list) | |
601 | |||
602 | |||
603 | !! check for end of layer card | ||
604 | !!----------------------------------------------------------------------- | ||
605 | ✗ | read(unit,'(A)') buffer | |
606 | ✗ | if(trim(adjustl(buffer)).ne."END BATCHNORM3D")then | |
607 | ✗ | write(*,*) trim(adjustl(buffer)) | |
608 | ✗ | stop "ERROR: END BATCHNORM3D not where expected" | |
609 | end if | ||
610 | |||
611 | ✗ | end function read_batchnorm3d_layer | |
612 | !!!############################################################################# | ||
613 | |||
614 | |||
615 | !!!##########################################################################!!! | ||
616 | !!! * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * !!! | ||
617 | !!!##########################################################################!!! | ||
618 | |||
619 | |||
620 | !!!############################################################################# | ||
621 | !!! forward propagation | ||
622 | !!!############################################################################# | ||
623 | 14 | pure subroutine forward_5d(this, input) | |
624 | implicit none | ||
625 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
626 |
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2 | real(real12), dimension( & |
627 |
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2 | this%input_shape(1), & |
628 |
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2 | this%input_shape(2), & |
629 | this%input_shape(3), & | ||
630 | this%num_channels,this%batch_size), & | ||
631 | intent(in) :: input | ||
632 | |||
633 | integer :: m | ||
634 | 4 | real(real12), dimension(this%num_channels) :: t_mean, t_variance | |
635 | |||
636 | |||
637 | 2 | select case(this%inference) | |
638 | case(.true.) | ||
639 | ✗ | do concurrent(m=1:this%num_channels) | |
640 | !! normalize each feature | ||
641 | ✗ | this%output(:,:,:,m,:) = this%gamma(m) * (input(:,:,:,m,:) - & | |
642 | ✗ | this%mean(m)) / & | |
643 | sqrt( & | ||
644 | ✗ | this%batch_size / (this%batch_size - 1) * this%variance(m) + & | |
645 | this%epsilon) + & | ||
646 | ✗ | this%beta(m) | |
647 | end do | ||
648 | case default | ||
649 |
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2 | do concurrent(m=1:this%num_channels) |
650 | !! calculate current mean and variance | ||
651 |
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3516 | t_mean(m) = sum(input(:,:,:,m,:)) / this%norm |
652 |
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3516 | t_variance(m) = sum((input(:,:,:,m,:) - t_mean(m))**2._real12) / this%norm |
653 | |||
654 | !! CONVERT TO USING inverse square root of variance (i.e. inverse std) | ||
655 | !! would also need to include epsilon in the sqrt denominator | ||
656 | |||
657 | !! update running averages | ||
658 |
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6 | if(this%momentum.ne.0._real12)then |
659 | ✗ | this%mean(m) = this%momentum * this%mean(m) + & | |
660 | ✗ | (1._real12 - this%momentum) * t_mean(m) | |
661 | ✗ | this%variance(m) = this%momentum * this%variance(m) + & | |
662 | ✗ | (1._real12 - this%momentum) * t_variance(m) | |
663 | else | ||
664 |
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6 | this%mean(m) = t_mean(m) |
665 |
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6 | this%variance(m) = t_variance(m) |
666 | end if | ||
667 | |||
668 | !! normalize each feature | ||
669 |
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6 | this%output(:,:,:,m,:) = this%gamma(m) * (input(:,:,:,m,:) - & |
670 | 12 | this%mean(m)) / & | |
671 |
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3524 | sqrt(this%variance(m) + this%epsilon) + this%beta(m) |
672 | end do | ||
673 | end select | ||
674 | |||
675 | 2 | end subroutine forward_5d | |
676 | !!!############################################################################# | ||
677 | |||
678 | |||
679 | !!!############################################################################# | ||
680 | !!! backward propagation | ||
681 | !!!############################################################################# | ||
682 | 13 | pure subroutine backward_5d(this, input, gradient) | |
683 | implicit none | ||
684 | class(batchnorm3d_layer_type), intent(inout) :: this | ||
685 |
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1 | real(real12), dimension( & |
686 |
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1 | this%input_shape(1), & |
687 |
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1 | this%input_shape(2), & |
688 | this%input_shape(3), & | ||
689 | this%num_channels,this%batch_size), & | ||
690 | intent(in) :: input | ||
691 |
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1 | real(real12), dimension( & |
692 |
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1 | this%output_shape(1), & |
693 |
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1 | this%output_shape(2), & |
694 | this%output_shape(3), & | ||
695 | this%num_channels,this%batch_size), & | ||
696 | intent(in) :: gradient | ||
697 | |||
698 | integer :: m | ||
699 | 4 | real(real12), dimension( & | |
700 | 4 | this%input_shape(1), & | |
701 | 4 | this%input_shape(2), & | |
702 | this%input_shape(3), & | ||
703 |
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1 | this%num_channels,this%batch_size) :: x_hat, dx_hat |
704 | |||
705 | |||
706 | 1 | do concurrent(m=1:this%num_channels) | |
707 | !! recalculate x_hat (i.e. normalised input) | ||
708 |
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6 | x_hat(:,:,:,m,:) = (input(:,:,:,m,:) - this%mean(m)) / & |
709 |
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|
1764 | sqrt(this%variance(m) + this%epsilon) |
710 | |||
711 | !! calculate gradient of normalised input | ||
712 |
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|
1758 | dx_hat(:,:,:,m,:) = gradient(:,:,:,m,:) * this%gamma(m) |
713 | |||
714 | !! calculate gradient of inputs | ||
715 | 66 | this%di(:,:,:,m,:) = & | |
716 | 6 | 1._real12 / (this%norm * sqrt(this%variance(m) + this%epsilon)) * & | |
717 |
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3 | ( this%norm * dx_hat(:,:,:,m,:) - & |
718 |
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6 | sum(dx_hat(:,:,:,m,:)) - x_hat(:,:,:,m,:) * & |
719 |
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|
5277 | sum(dx_hat(:,:,:,m,:) * x_hat(:,:,:,m,:))) |
720 | |||
721 | !! calculate gradient of gamma and beta | ||
722 |
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1758 | this%dg(m) = sum(gradient(:,:,:,m,:) * x_hat(:,:,:,m,:)) |
723 |
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|
1759 | this%db(m) = sum(gradient(:,:,:,m,:)) |
724 | end do | ||
725 | |||
726 | 1 | end subroutine backward_5d | |
727 | !!!############################################################################# | ||
728 | |||
729 |
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|
22 | end module batchnorm3d_layer |
730 | !!!############################################################################# | ||
731 |