-
Notifications
You must be signed in to change notification settings - Fork 14
/
modeling.py
executable file
·577 lines (480 loc) · 21.5 KB
/
modeling.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
# --------------------------------------------------------
# Based on BEiT, timm, DINO and DeiT code bases
# https://github.com/microsoft/unilm/tree/master/beit
# https://github.com/rwightman/pytorch-image-models/tree/master/timm
# https://github.com/facebookresearch/deit
# https://github.com/facebookresearch/dino
# --------------------------------------------------------'
import math
from functools import partial
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
from einops import rearrange
from timm.models.layers import drop_path, to_2tuple
from timm.models.layers import trunc_normal_ as __call_trunc_normal_
from timm.models.registry import register_model
def trunc_normal_(tensor, mean=0., std=1.):
__call_trunc_normal_(tensor, mean=mean, std=std, a=-std, b=std)
def max_neg_value(tensor):
return -torch.finfo(tensor.dtype).max
def _cfg(url='', **kwargs):
return {
'url': url,
'num_classes': 1000, 'input_size': (3, 224, 224), 'pool_size': None,
'crop_pct': .9, 'interpolation': 'bicubic',
'mean': (0.5, 0.5, 0.5), 'std': (0.5, 0.5, 0.5),
**kwargs
}
class DropPath(nn.Module):
"""Drop paths (Stochastic Depth) per sample (when applied in main path of residual blocks).
"""
def __init__(self, drop_prob=None):
super(DropPath, self).__init__()
self.drop_prob = drop_prob
def forward(self, x):
return drop_path(x, self.drop_prob, self.training)
def extra_repr(self) -> str:
return 'p={}'.format(self.drop_prob)
class Mlp(nn.Module):
def __init__(self, in_features, hidden_features=None, out_features=None, act_layer=nn.GELU, drop=0.):
super().__init__()
out_features = out_features or in_features
hidden_features = hidden_features or in_features
self.fc1 = nn.Linear(in_features, hidden_features)
self.act = act_layer()
self.fc2 = nn.Linear(hidden_features, out_features)
self.drop = nn.Dropout(drop)
def forward(self, x):
x = self.fc1(x)
x = self.act(x)
# x = self.drop(x)
# commit this for the orignal BERT implement
x = self.fc2(x)
x = self.drop(x)
return x
class Attention(nn.Module):
def __init__(self, dim, num_heads=8, qkv_bias=False, qk_scale=None, attn_drop=0.,
proj_drop=0., attn_head_dim=None, use_rpb=False, window_size=14):
super().__init__()
self.num_heads = num_heads
head_dim = dim // num_heads
if attn_head_dim is not None:
head_dim = attn_head_dim
all_head_dim = head_dim * self.num_heads
self.scale = qk_scale or head_dim ** -0.5
self.qkv = nn.Linear(dim, all_head_dim * 3, bias=False)
if qkv_bias:
self.q_bias = nn.Parameter(torch.zeros(all_head_dim))
self.v_bias = nn.Parameter(torch.zeros(all_head_dim))
else:
self.q_bias = None
self.v_bias = None
# relative positional bias option
self.use_rpb = use_rpb
if use_rpb:
self.window_size = window_size
self.rpb_table = nn.Parameter(torch.zeros((2 * window_size - 1) * (2 * window_size - 1), num_heads))
trunc_normal_(self.rpb_table, std=.02)
coords_h = torch.arange(window_size)
coords_w = torch.arange(window_size)
coords = torch.stack(torch.meshgrid([coords_h, coords_w])) # 2, h, w
coords_flatten = torch.flatten(coords, 1) # 2, h*w
relative_coords = coords_flatten[:, :, None] - coords_flatten[:, None, :] # 2, h*w, h*w
relative_coords = relative_coords.permute(1, 2, 0).contiguous() # h*w, h*w, 2
relative_coords[:, :, 0] += window_size - 1 # shift to start from 0
relative_coords[:, :, 1] += window_size - 1
relative_coords[:, :, 0] *= 2 * window_size - 1
relative_position_index = relative_coords.sum(-1) # h*w, h*w
self.register_buffer("relative_position_index", relative_position_index)
self.attn_drop = nn.Dropout(attn_drop)
self.proj = nn.Linear(all_head_dim, dim)
self.proj_drop = nn.Dropout(proj_drop)
def forward(self, x):
B, N, C = x.shape
qkv_bias = None
if self.q_bias is not None:
qkv_bias = torch.cat((self.q_bias, torch.zeros_like(self.v_bias, requires_grad=False), self.v_bias))
# qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 3, 1, 4)
qkv = F.linear(input=x, weight=self.qkv.weight, bias=qkv_bias)
qkv = qkv.reshape(B, N, 3, self.num_heads, -1).permute(2, 0, 3, 1, 4)
q, k, v = qkv[0], qkv[1], qkv[2] # make torchscript happy (cannot use tensor as tuple)
q = q * self.scale
attn = (q @ k.transpose(-2, -1))
if self.use_rpb:
relative_position_bias = self.rpb_table[self.relative_position_index.view(-1)].view(
self.window_size * self.window_size, self.window_size * self.window_size, -1) # h*w,h*w,nH
relative_position_bias = relative_position_bias.permute(2, 0, 1).contiguous() # nH, h*w, h*w
attn += relative_position_bias
attn = attn.softmax(dim=-1)
attn = self.attn_drop(attn)
x = (attn @ v).transpose(1, 2).reshape(B, N, -1)
x = self.proj(x)
x = self.proj_drop(x)
return x
class Block(nn.Module):
def __init__(self, dim, num_heads, mlp_ratio=4., qkv_bias=False, qk_scale=None, drop=0., attn_drop=0.,
drop_path=0., init_values=None, act_layer=nn.GELU, norm_layer=nn.LayerNorm,
attn_head_dim=None, use_rpb=False, window_size=14):
super().__init__()
self.norm1 = norm_layer(dim)
self.attn = Attention(
dim, num_heads=num_heads, qkv_bias=qkv_bias, qk_scale=qk_scale,
attn_drop=attn_drop, proj_drop=drop, attn_head_dim=attn_head_dim,
use_rpb=use_rpb, window_size=window_size)
# NOTE: drop path for stochastic depth, we shall see if this is better than dropout here
self.drop_path = DropPath(drop_path) if drop_path > 0. else nn.Identity()
self.norm2 = norm_layer(dim)
mlp_hidden_dim = int(dim * mlp_ratio)
self.mlp = Mlp(in_features=dim, hidden_features=mlp_hidden_dim, act_layer=act_layer, drop=drop)
if init_values > 0:
self.gamma_1 = nn.Parameter(init_values * torch.ones((dim)), requires_grad=True)
self.gamma_2 = nn.Parameter(init_values * torch.ones((dim)), requires_grad=True)
else:
self.gamma_1, self.gamma_2 = None, None
def forward(self, x):
if self.gamma_1 is None:
x = x + self.drop_path(self.attn(self.norm1(x)))
x = x + self.drop_path(self.mlp(self.norm2(x)))
else:
x = x + self.drop_path(self.gamma_1 * self.attn(self.norm1(x)))
x = x + self.drop_path(self.gamma_2 * self.mlp(self.norm2(x)))
return x
class PatchEmbed(nn.Module):
""" Image to Patch Embedding
"""
def __init__(self, img_size=224, patch_size=16, in_chans=3, embed_dim=768, mask_cent=False):
super().__init__()
img_size = to_2tuple(img_size)
patch_size = to_2tuple(patch_size)
num_patches = (img_size[1] // patch_size[1]) * (img_size[0] // patch_size[0])
self.patch_shape = (img_size[0] // patch_size[0], img_size[1] // patch_size[1])
self.img_size = img_size
self.patch_size = patch_size
self.num_patches = num_patches
self.mask_cent = mask_cent
self.proj = nn.Conv2d(in_chans, embed_dim, kernel_size=patch_size, stride=patch_size)
def forward(self, x, **kwargs):
B, C, H, W = x.shape
# FIXME look at relaxing size constraints
assert H == self.img_size[0] and W == self.img_size[1], \
f"Input image size ({H}*{W}) doesn't match model ({self.img_size[0]}*{self.img_size[1]})."
if self.mask_cent:
x[:, -1] = x[:, -1] - 0.5
x = self.proj(x).flatten(2).transpose(1, 2)
return x
# sin-cos position encoding
# https://github.com/jadore801120/attention-is-all-you-need-pytorch/blob/master/transformer/Models.py#L31
def get_sinusoid_encoding_table(n_position, d_hid):
''' Sinusoid position encoding table '''
# TODO: make it with torch instead of numpy
def get_position_angle_vec(position):
return [position / np.power(10000, 2 * (hid_j // 2) / d_hid) for hid_j in range(d_hid)]
sinusoid_table = np.array([get_position_angle_vec(pos_i) for pos_i in range(n_position)])
sinusoid_table[:, 0::2] = np.sin(sinusoid_table[:, 0::2]) # dim 2i
sinusoid_table[:, 1::2] = np.cos(sinusoid_table[:, 1::2]) # dim 2i+1
return torch.FloatTensor(sinusoid_table).unsqueeze(0)
##################################### Colorization #################################
class DoubleConv(nn.Module):
"""(convolution => [BN] => ReLU) * 2"""
def __init__(self, in_channels, out_channels, mid_channels=None):
super().__init__()
if not mid_channels:
mid_channels = out_channels
self.double_conv = nn.Sequential(
nn.Conv2d(in_channels, mid_channels, kernel_size=3, padding=1, bias=False),
nn.BatchNorm2d(mid_channels),
nn.ReLU(inplace=True),
nn.Conv2d(mid_channels, out_channels, kernel_size=3, padding=1, bias=False),
nn.BatchNorm2d(out_channels),
nn.ReLU(inplace=True)
)
def forward(self, x):
return self.double_conv(x)
class CnnHead(nn.Module):
def __init__(self, embed_dim, num_classes, window_size):
super().__init__()
self.embed_dim = embed_dim
self.num_classes = num_classes
self.window_size = window_size
self.head = nn.Conv2d(embed_dim, num_classes, kernel_size=3, stride=1, padding=1, padding_mode='reflect')
def forward(self, x):
x = rearrange(x, 'b (p1 p2) c -> b c p1 p2', p1=self.window_size, p2=self.window_size)
x = self.head(x)
x = rearrange(x, 'b c p1 p2 -> b (p1 p2) c')
return x
class LocalAttentionHead(nn.Module):
def __init__(
self, dim, out_dim, num_heads=8, qkv_bias=False, qk_scale=None, attn_drop=0.,
proj_drop=0., attn_head_dim=None, use_rpb=False, window_size=14):
super().__init__()
self.num_heads = num_heads
head_dim = dim // num_heads
if attn_head_dim is not None:
head_dim = attn_head_dim
all_head_dim = head_dim * self.num_heads
self.scale = qk_scale or head_dim ** -0.5
self.qkv = nn.Linear(dim, all_head_dim * 3, bias=False)
if qkv_bias:
self.q_bias = nn.Parameter(torch.zeros(all_head_dim))
self.v_bias = nn.Parameter(torch.zeros(all_head_dim))
else:
self.q_bias = None
self.v_bias = None
# masking attn
mask = torch.ones((window_size**2, window_size**2))
kernel_size = 3
for i in range(window_size):
for j in range(window_size):
cur_map = torch.ones((window_size, window_size))
stx, sty = max(i - kernel_size // 2, 0), max(j - kernel_size // 2, 0)
edx, edy = min(i + kernel_size // 2, window_size - 1), min(j + kernel_size // 2, window_size - 1)
cur_map[stx:edx + 1, sty:edy + 1] = 0
cur_map = cur_map.flatten()
mask[i * window_size + j] = cur_map
self.register_buffer('mask', mask)
# relative positional bias option
self.use_rpb = use_rpb
if use_rpb:
self.window_size = window_size
self.rpb_table = nn.Parameter(torch.zeros((2 * window_size - 1) * (2 * window_size - 1), num_heads))
trunc_normal_(self.rpb_table, std=.02)
coords_h = torch.arange(window_size)
coords_w = torch.arange(window_size)
coords = torch.stack(torch.meshgrid([coords_h, coords_w])) # 2, h, w
coords_flatten = torch.flatten(coords, 1) # 2, h*w
relative_coords = coords_flatten[:, :, None] - coords_flatten[:, None, :] # 2, h*w, h*w
relative_coords = relative_coords.permute(1, 2, 0).contiguous() # h*w, h*w, 2
relative_coords[:, :, 0] += window_size - 1 # shift to start from 0
relative_coords[:, :, 1] += window_size - 1
relative_coords[:, :, 0] *= 2 * window_size - 1
relative_position_index = relative_coords.sum(-1) # h*w, h*w
self.register_buffer("relative_position_index", relative_position_index)
self.attn_drop = nn.Dropout(attn_drop)
self.proj = nn.Linear(all_head_dim, out_dim)
self.proj_drop = nn.Dropout(proj_drop)
def forward(self, x: torch.Tensor):
B, N, C = x.shape
qkv_bias = None
if self.q_bias is not None:
qkv_bias = torch.cat((self.q_bias, torch.zeros_like(self.v_bias, requires_grad=False), self.v_bias))
qkv = F.linear(input=x, weight=self.qkv.weight, bias=qkv_bias)
qkv = qkv.reshape(B, N, 3, self.num_heads, -1).permute(2, 0, 3, 1, 4)
q, k, v = qkv[0], qkv[1], qkv[2] # make torchscript happy (cannot use tensor as tuple)
q = q * self.scale
attn = (q @ k.transpose(-2, -1))
# masking attn
mask_value = max_neg_value(attn)
attn.masked_fill_(self.mask.bool(), mask_value)
if self.use_rpb:
relative_position_bias = self.rpb_table[self.relative_position_index.view(-1)].view(
self.window_size * self.window_size, self.window_size * self.window_size, -1) # h*w,h*w,nH
relative_position_bias = relative_position_bias.permute(2, 0, 1).contiguous() # nH, h*w, h*w
attn += relative_position_bias
attn = attn.softmax(dim=-1)
attn = self.attn_drop(attn)
x = (attn @ v).transpose(1, 2).reshape(B, N, -1)
x = self.proj(x)
x = self.proj_drop(x)
return x
class IColoriT(nn.Module):
""" Vision Transformer with support for patch or hybrid CNN input stage
"""
def __init__(self, img_size=224, patch_size=16, in_chans=3, num_classes=512, embed_dim=512, depth=12,
num_heads=12, mlp_ratio=4., qkv_bias=False, qk_scale=None, drop_rate=0., attn_drop_rate=0.,
drop_path_rate=0., norm_layer=nn.LayerNorm, init_values=None,
use_rpb=False, avg_hint=False, head_mode='default', mask_cent=False):
super().__init__()
self.num_classes = num_classes
assert num_classes == 2 * patch_size ** 2
self.num_features = self.embed_dim = embed_dim # num_features for consistency with other models
self.patch_size = patch_size
self.in_chans = in_chans
self.avg_hint = avg_hint
# self.mask_token = nn.Parameter(torch.zeros(2))
# trunc_normal_(self.mask_token, std=.02)
self.patch_embed = PatchEmbed(img_size=img_size, patch_size=patch_size,
in_chans=in_chans, embed_dim=embed_dim, mask_cent=mask_cent)
num_patches = self.patch_embed.num_patches # 2
self.pos_embed = get_sinusoid_encoding_table(num_patches, embed_dim)
dpr = [x.item() for x in torch.linspace(0, drop_path_rate, depth)] # stochastic depth decay rule
self.blocks = nn.ModuleList([Block(
dim=embed_dim, num_heads=num_heads, mlp_ratio=mlp_ratio, qkv_bias=qkv_bias, qk_scale=qk_scale,
drop=drop_rate, attn_drop=attn_drop_rate, drop_path=dpr[i], norm_layer=norm_layer,
init_values=init_values, use_rpb=use_rpb, window_size=img_size // patch_size)
for i in range(depth)])
self.norm = norm_layer(embed_dim)
if head_mode == 'linear':
self.head = nn.Linear(embed_dim, num_classes) if num_classes > 0 else nn.Identity()
elif head_mode == 'cnn':
self.head = CnnHead(embed_dim, num_classes, window_size=img_size // patch_size)
elif head_mode == 'locattn':
self.head = LocalAttentionHead(embed_dim, num_classes, window_size=img_size // patch_size)
else:
raise NotImplementedError('Check head type')
self.tanh = nn.Tanh()
self.apply(self._init_weights)
def _init_weights(self, m):
if isinstance(m, nn.Linear):
nn.init.xavier_uniform_(m.weight)
if isinstance(m, nn.Linear) and m.bias is not None:
nn.init.constant_(m.bias, 0)
elif isinstance(m, nn.LayerNorm):
nn.init.constant_(m.bias, 0)
nn.init.constant_(m.weight, 1.0)
def get_num_layers(self):
return len(self.blocks)
@torch.jit.ignore
def no_weight_decay(self):
return {'pos_embed', 'cls_token'}
def get_classifier(self):
return self.head
def reset_classifier(self, num_classes, global_pool=''):
self.num_classes = num_classes
self.head = nn.Linear(self.embed_dim, num_classes) if num_classes > 0 else nn.Identity()
def forward_features(self, x, mask):
# mask is 1D of 2D if 2D
B, _, H, W = x.shape
assert mask.dim() == 2, f'Check the mask dimension mask.dim() == 2 but {mask.dim()}.'
_, L = mask.shape
# assume square inputs
hint_size = int(math.sqrt(H * W // L))
_device = '.cuda' if x.device.type == 'cuda' else ''
# hint location = 0, non-hint location = 1
mask = torch.reshape(mask, (B, H // hint_size, W // hint_size))
_mask = mask.unsqueeze(1).type(f'torch{_device}.FloatTensor')
_full_mask = F.interpolate(_mask, scale_factor=hint_size) # Needs to be Float
full_mask = _full_mask.type(f'torch{_device}.BoolTensor')
# mask ab channels
if self.avg_hint:
_avg_x = F.interpolate(x, size=(H // hint_size, W // hint_size), mode='bilinear')
_avg_x[:, 1, :, :].masked_fill_(mask.squeeze(1), 0)
_avg_x[:, 2, :, :].masked_fill_(mask.squeeze(1), 0)
x_ab = F.interpolate(_avg_x, scale_factor=hint_size, mode='nearest')[:, 1:, :, :]
x = torch.cat((x[:, 0, :, :].unsqueeze(1), x_ab), dim=1)
else:
x[:, 1, :, :].masked_fill_(full_mask.squeeze(1), 0)
x[:, 2, :, :].masked_fill_(full_mask.squeeze(1), 0)
if self.in_chans == 4:
x = torch.cat((x, 1 - _full_mask), dim=1)
x = self.patch_embed(x)
x = x + self.pos_embed.type_as(x).to(x.device).clone().detach() # (B, 14*14, 768)
for blk in self.blocks:
x = blk(x)
x = self.norm(x)
return x
def forward(self, x, mask):
x = self.forward_features(x, mask)
x = self.head(x)
x = self.tanh(x)
return x
@register_model
def icolorit_tiny_4ch_patch8_224(pretrained=False, **kwargs):
model = IColoriT(
num_classes=128,
img_size=224,
patch_size=8,
in_chans=4,
embed_dim=192,
depth=12,
num_heads=3,
mlp_ratio=4,
qkv_bias=True,
norm_layer=partial(nn.LayerNorm, eps=1e-6),
init_values=0.,
**kwargs)
model.default_cfg = _cfg()
if pretrained:
checkpoint = torch.load(
kwargs["init_ckpt"], map_location="cpu"
)
model.load_state_dict(checkpoint["model"])
return model
@register_model
def icolorit_tiny_4ch_patch16_224(pretrained=False, **kwargs):
model = IColoriT(
num_classes=512,
img_size=224,
patch_size=16,
in_chans=4,
embed_dim=192,
depth=12,
num_heads=3,
mlp_ratio=4,
qkv_bias=True,
norm_layer=partial(nn.LayerNorm, eps=1e-6),
init_values=0.,
**kwargs)
model.default_cfg = _cfg()
if pretrained:
checkpoint = torch.load(
kwargs["init_ckpt"], map_location="cpu"
)
model.load_state_dict(checkpoint["model"])
return model
@register_model
def icolorit_tiny_4ch_patch32_224(pretrained=False, **kwargs):
model = IColoriT(
num_classes=2048,
img_size=224,
patch_size=32,
in_chans=4,
embed_dim=192,
depth=12,
num_heads=3,
mlp_ratio=4,
qkv_bias=True,
norm_layer=partial(nn.LayerNorm, eps=1e-6),
init_values=0.,
**kwargs)
model.default_cfg = _cfg()
if pretrained:
checkpoint = torch.load(
kwargs["init_ckpt"], map_location="cpu"
)
model.load_state_dict(checkpoint["model"])
return model
@register_model
def icolorit_small_4ch_patch16_224(pretrained=False, **kwargs):
model = IColoriT(
img_size=224,
patch_size=16,
in_chans=4,
embed_dim=384,
depth=12,
num_heads=6,
mlp_ratio=4,
qkv_bias=True,
norm_layer=partial(nn.LayerNorm, eps=1e-6),
init_values=0.,
**kwargs)
model.default_cfg = _cfg()
if pretrained:
checkpoint = torch.load(
kwargs["init_ckpt"], map_location="cpu"
)
model.load_state_dict(checkpoint["model"])
return model
@register_model
def icolorit_base_4ch_patch16_224(pretrained=False, **kwargs):
model = IColoriT(
num_classes=512,
img_size=224,
patch_size=16,
in_chans=4,
embed_dim=768,
depth=12,
num_heads=12,
mlp_ratio=4,
qkv_bias=True,
norm_layer=partial(nn.LayerNorm, eps=1e-6),
init_values=0.,
**kwargs)
model.default_cfg = _cfg()
if pretrained:
checkpoint = torch.load(
kwargs["init_ckpt"], map_location="cpu"
)
model.load_state_dict(checkpoint["model"])
return model