SSD采用VGG16作为基础模型,然后在VGG16的基础上新增了卷积层来获得更多的特征图以用于检测。SSD的网络结构如图所示。
其中VGG16中的Conv4_3层将作为用于检测的第一个特征图。conv4_3层特征图大小是 $38\times38$ ,但是该层比较靠前,其norm较大,所以在其后面增加了一个L2 Normalization层.
首先要将数据集提供的txt文件转换成.json文件,方便后面的重写的dataset函数load数据
create-data_lists()主要的功能就是将图片和它的ground_truth_box以及box对应的标签连接起来存到json文件中。
注意:此函数必须运行一次。
In [1]:
%load_ext autoreload
%autoreload 2
import torch
torch.cuda.set_device(2)
In [2]:
from utils import *
create_data_lists(voc07_path='./data1/VOC2007',output_folder='./json1/')
There are 200 training images containing a total of 600 objects. Files have been saved to /home/jovyan/week8/json1.
There are 200 validation images containing a total of 600 objects. Files have been saved to /home/jovyan/week8/json1.
In [3]:
import torch
from torch.utils.data import Dataset
import json
import os
from PIL import Image
from utils import transform
class PascalVOCDataset(Dataset):
"""
A PyTorch Dataset class to be used in a PyTorch DataLoader to create batches.
"""
def __init__(self, data_folder, split, keep_difficult=False):
"""
:param data_folder: folder where data files are stored
:param split: split, one of 'TRAIN' or 'TEST'
:param keep_difficult: keep or discard objects that are considered difficult to detect?
"""
self.split = split.upper()
assert self.split in {'TRAIN', 'TEST'}
self.data_folder = data_folder
self.keep_difficult = keep_difficult
# Read data files
with open(os.path.join(data_folder, self.split + '_images.json'), 'r') as j:
self.images = json.load(j)
with open(os.path.join(data_folder, self.split + '_objects.json'), 'r') as j:
self.objects = json.load(j)
assert len(self.images) == len(self.objects)
def __getitem__(self, i):
# Read image
image = Image.open(self.images[i], mode='r')
image = image.convert('RGB')
# Read objects in this image (bounding boxes, labels, difficulties)
objects = self.objects[i]
boxes = torch.FloatTensor(objects['boxes']) # (n_objects, 4)
labels = torch.LongTensor(objects['labels']) # (n_objects)
difficulties = torch.ByteTensor(objects['difficulties']) # (n_objects)
# Discard difficult objects, if desired
if not self.keep_difficult:
boxes = boxes[1 - difficulties]
labels = labels[1 - difficulties]
difficulties = difficulties[1 - difficulties]
# Apply transformations
image, boxes, labels, difficulties = transform(image, boxes, labels, difficulties, split=self.split)
return image, boxes, labels, difficulties
def __len__(self):
return len(self.images)
def collate_fn(self, batch):
"""
Since each image may have a different number of objects, we need a collate function (to be passed to the DataLoader).
This describes how to combine these tensors of different sizes. We use lists.
Note: this need not be defined in this Class, can be standalone.
:param batch: an iterable of N sets from __getitem__()
:return: a tensor of images, lists of varying-size tensors of bounding boxes, labels, and difficulties
"""
images = list()
boxes = list()
labels = list()
difficulties = list()
for b in batch:
images.append(b[0])
boxes.append(b[1])
labels.append(b[2])
difficulties.append(b[3])
images = torch.stack(images, dim=0)
return images, boxes, labels, difficulties # tensor (N, 3, 300, 300), 3 lists of N tensors each
重写完dataset函数之后,让我们看看目标检测任务的训练数据具体是以何种形式存储的
In [4]:
data_folder = './json1/'
keep_difficult = True
batch_size = 2
workers = 1
train_dataset = PascalVOCDataset(data_folder,
split='train',
keep_difficult=keep_difficult)
val_dataset = PascalVOCDataset(data_folder,
split='test',
keep_difficult=keep_difficult)
train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=batch_size, shuffle=True,
collate_fn=train_dataset.collate_fn, num_workers=workers,
pin_memory=True)
# note that we're passing the collate function here
val_loader = torch.utils.data.DataLoader(val_dataset, batch_size=batch_size, shuffle=True,
collate_fn=val_dataset.collate_fn, num_workers=workers,
pin_memory=True)
for data in train_loader:
images, boxes, labels, difficulties = data
print('images---->', images)
print('boxes---->', boxes)
print('labels---->',labels)
print('difficulties---->',difficulties)
images----> tensor([[[[-1.7583, -1.7583, -1.7412, ..., -0.7650, -0.7993, -0.8507],
[-1.7583, -1.7583, -1.7583, ..., -0.8507, -0.8678, -0.8678],
[-1.7412, -1.7412, -1.7412, ..., -0.8507, -0.8678, -0.9020],
...,
[-1.5870, -1.5699, -1.5528, ..., 0.4851, 0.9303, 1.2043],
[-1.5528, -1.5357, -1.5185, ..., -0.2856, 0.6049, 1.3070],
[-1.5014, -1.5185, -1.5357, ..., -0.8335, 0.1083, 0.8789]],
[[-1.6681, -1.6681, -1.6506, ..., -0.6352, -0.6702, -0.7402],
[-1.6681, -1.6681, -1.6681, ..., -0.7052, -0.6877, -0.7052],
[-1.6506, -1.6506, -1.6506, ..., -0.6877, -0.6702, -0.6702],
...,
[-1.4930, -1.4580, -1.4405, ..., 0.5728, 1.0455, 1.3431],
[-1.4580, -1.4405, -1.4230, ..., -0.2150, 0.7129, 1.4307],
[-1.4055, -1.4230, -1.4405, ..., -0.7752, 0.1877, 0.9580]],
[[-1.4384, -1.4384, -1.4210, ..., -0.6541, -0.7413, -0.8110],
[-1.4384, -1.4384, -1.4384, ..., -0.6541, -0.7064, -0.7413],
[-1.4210, -1.4210, -1.4210, ..., -0.5495, -0.6193, -0.6541],
...,
[-1.2293, -1.2119, -1.1944, ..., 0.5311, 1.0714, 1.4374],
[-1.1944, -1.1944, -1.1770, ..., -0.3055, 0.6879, 1.4374],
[-1.1596, -1.1770, -1.1944, ..., -0.8807, 0.0953, 0.8971]]],
[[[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
...,
[-0.3541, -0.3541, -0.3541, ..., -0.2684, -0.2684, -0.2856],
[-0.2856, -0.2856, -0.2684, ..., -0.4568, -0.4568, -0.4739],
[-0.0801, -0.0801, -0.0972, ..., -0.5767, -0.5767, -0.5938]],
[[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
...,
[-0.4601, -0.4601, -0.4601, ..., -0.2850, -0.2850, -0.3025],
[-0.3901, -0.3901, -0.3725, ..., -0.4076, -0.4076, -0.4251],
[-0.1450, -0.1450, -0.1450, ..., -0.5301, -0.5301, -0.5476]],
[[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
...,
[-0.4101, -0.4101, -0.4101, ..., -0.2707, -0.2707, -0.2881],
[-0.3404, -0.3404, -0.3230, ..., -0.3753, -0.3753, -0.3927],
[-0.1138, -0.0964, -0.1138, ..., -0.4798, -0.4798, -0.4973]]]])
boxes----> [tensor([[0.6931, 0.0000, 0.9312, 0.1138]]), tensor([[0.0000, 0.3746, 1.0000, 0.7550]])]
labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
images----> tensor([[[[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
...,
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116]],
[[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
...,
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049]],
[[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
...,
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092]]],
[[[ 1.0159, 1.0331, 0.8276, ..., 0.1254, 0.0227, -0.2856],
[ 1.0159, 1.0331, 0.7933, ..., 0.0912, -0.1486, 0.1254],
[ 1.0331, 1.0502, 0.7591, ..., -0.1314, 0.0398, 0.0227],
...,
[-0.2856, -0.2856, -0.2856, ..., 0.2624, 0.2282, 0.2967],
[-0.3027, -0.2856, -0.2684, ..., 0.2111, 0.2282, 0.2111],
[-0.2856, -0.3027, -0.3027, ..., 0.2453, 0.2624, 0.1939]],
[[ 1.1681, 1.1856, 0.9755, ..., 0.2577, 0.1527, -0.1625],
[ 1.1681, 1.1856, 0.9405, ..., 0.2227, -0.0224, 0.2577],
[ 1.1856, 1.2031, 0.9055, ..., -0.0049, 0.1702, 0.1527],
...,
[-0.1625, -0.1625, -0.1625, ..., 0.3978, 0.3627, 0.4328],
[-0.1800, -0.1625, -0.1450, ..., 0.3452, 0.3627, 0.3452],
[-0.1625, -0.1800, -0.1800, ..., 0.3803, 0.3978, 0.3277]],
[[ 1.3851, 1.4025, 1.1934, ..., 0.4788, 0.3742, 0.0605],
[ 1.3851, 1.4025, 1.1585, ..., 0.4439, 0.1999, 0.4788],
[ 1.4025, 1.4200, 1.1237, ..., 0.2173, 0.3916, 0.3742],
...,
[ 0.0605, 0.0605, 0.0605, ..., 0.6182, 0.5834, 0.6531],
[ 0.0431, 0.0605, 0.0779, ..., 0.5659, 0.5834, 0.5659],
[ 0.0605, 0.0431, 0.0431, ..., 0.6008, 0.6182, 0.5485]]]])
boxes----> [tensor([[0.5195, 0.0000, 0.6800, 0.1657]]), tensor([[0.7528, 0.5465, 0.9448, 0.7248],
[0.6755, 0.5581, 0.7616, 0.6860]])]
labels----> [tensor([19]), tensor([7, 7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0, 0], dtype=torch.uint8)]
images----> tensor([[[[ 2.2489, 2.2489, 2.2489, ..., -1.6727, -1.6898, -1.7069],
[ 2.2318, 2.2318, 2.2318, ..., -1.6898, -1.6384, -1.6042],
[ 2.1633, 2.1633, 2.1633, ..., -1.7412, -1.7069, -1.6555],
...,
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116]],
[[ 2.4286, 2.4286, 2.4111, ..., -1.5630, -1.5280, -1.5105],
[ 2.4286, 2.4111, 2.3585, ..., -1.4755, -1.4580, -1.4055],
[ 2.4286, 2.4111, 2.3936, ..., -1.5630, -1.5280, -1.4755],
...,
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049]],
[[ 2.6226, 2.6226, 2.6226, ..., -1.1421, -1.2119, -1.3164],
[ 2.5877, 2.5703, 2.5877, ..., -1.2816, -1.2467, -1.2467],
[ 2.5703, 2.5877, 2.5877, ..., -1.3513, -1.3164, -1.3164],
...,
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092]]],
[[[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
...,
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116]],
[[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
...,
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049]],
[[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
...,
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092]]]])
boxes----> [tensor([[0.0000, 0.0000, 0.7709, 0.4429],
[0.7598, 0.0714, 1.0000, 0.2686]]), tensor([[0.3289, 0.6170, 0.6191, 0.8670],
[0.5540, 0.6953, 0.6323, 0.8122]])]
labels----> [tensor([19, 19]), tensor([19, 19])]
difficulties----> [tensor([0, 0], dtype=torch.uint8), tensor([0, 0], dtype=torch.uint8)]
images----> tensor([[[[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
...,
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116]],
[[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
...,
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049],
[-0.0049, -0.0049, -0.0049, ..., -0.0049, -0.0049, -0.0049]],
[[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
...,
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092],
[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092]]],
[[[-0.4911, -0.6452, -0.6109, ..., -0.4568, -0.3883, -0.4226],
[-0.4739, -0.6452, -0.6109, ..., -0.4739, -0.4054, -0.5082],
[-0.4226, -0.5767, -0.5938, ..., -0.4568, -0.4226, -0.5082],
...,
[-0.2171, -0.2342, -0.1999, ..., -0.9192, -0.9020, -0.9020],
[-0.2513, -0.2513, -0.2171, ..., -0.9020, -0.9192, -0.9020],
[-0.3198, -0.2684, -0.2342, ..., -0.9192, -0.9192, -0.9192]],
[[-0.3550, -0.4951, -0.4426, ..., -0.3200, -0.2500, -0.2850],
[-0.3550, -0.4951, -0.4426, ..., -0.3375, -0.2675, -0.3725],
[-0.3025, -0.4251, -0.4426, ..., -0.3200, -0.2850, -0.3725],
...,
[-0.1275, -0.1450, -0.1099, ..., -0.7927, -0.7752, -0.7752],
[-0.1450, -0.1450, -0.1450, ..., -0.7752, -0.7927, -0.7752],
[-0.2325, -0.1800, -0.1450, ..., -0.7927, -0.7927, -0.7927]],
[[-0.1487, -0.3055, -0.2532, ..., -0.0964, -0.0267, -0.0615],
[-0.1312, -0.2707, -0.2532, ..., -0.1138, -0.0441, -0.1487],
[-0.0790, -0.2010, -0.2010, ..., -0.0964, -0.0615, -0.1487],
...,
[ 0.1302, 0.1302, 0.1651, ..., -0.6193, -0.6018, -0.6018],
[ 0.0953, 0.0953, 0.1302, ..., -0.6018, -0.6193, -0.6018],
[ 0.0256, 0.0779, 0.1128, ..., -0.6018, -0.6018, -0.6193]]]])
boxes----> [tensor([[0.4687, 0.4722, 0.9977, 0.7374]]), tensor([[-0.0028, 0.0193, 0.9972, 1.0000]])]
labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
images----> tensor([[[[-0.3198, -0.6452, -1.3644, ..., -1.8782, -1.8782, -1.8782],
[-0.3712, -0.6623, -1.3473, ..., -1.9124, -1.8953, -1.8782],
[-0.3369, -0.6281, -1.3302, ..., -1.8953, -1.8782, -1.8782],
...,
[-0.0972, -0.0629, -0.0287, ..., -1.8953, -1.9124, -1.9295],
[-0.1486, -0.1143, -0.0801, ..., -1.8953, -1.9295, -1.9295],
[-0.1999, -0.1486, -0.1314, ..., -1.8953, -1.9295, -1.9467]],
[[-1.0903, -1.1954, -1.6681, ..., -1.7906, -1.7906, -1.7906],
[-1.0728, -1.1779, -1.6155, ..., -1.8256, -1.8081, -1.7906],
[-1.0203, -1.1078, -1.6155, ..., -1.8081, -1.7906, -1.8081],
...,
[-0.5126, -0.4776, -0.4251, ..., -1.8081, -1.8256, -1.8431],
[-0.6001, -0.5476, -0.4951, ..., -1.8081, -1.8431, -1.8431],
[-0.6702, -0.6176, -0.5651, ..., -1.8256, -1.8606, -1.8606]],
[[-1.4036, -1.3687, -1.5779, ..., -1.6302, -1.6127, -1.6302],
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labels----> [tensor([7]), tensor([7, 7, 7])]
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labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
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labels----> [tensor([7]), tensor([7, 7, 7, 7, 7, 7])]
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labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
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labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
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difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
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boxes----> [tensor([[0.6467, 0.6462, 0.7168, 0.6764]]), tensor([[0.6420, 0.4669, 0.7920, 0.5663],
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labels----> [tensor([7]), tensor([7, 7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0, 0], dtype=torch.uint8)]
images----> tensor([[[[-0.0116, -0.0116, -0.0116, ..., -0.0116, -0.0116, -0.0116],
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boxes----> [tensor([[0.5177, 0.7631, 0.5381, 0.7795]]), tensor([[0.5500, 0.1627, 0.6920, 0.2560]])]
labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([1], dtype=torch.uint8)]
images----> tensor([[[[-0.0116, -0.0116, -0.0116, ..., 2.0605, 2.0777, 1.9920],
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[-0.0092, -0.0092, -0.0092, ..., -0.0092, -0.0092, -0.0092]]]])
boxes----> [tensor([[0.5110, 0.2254, 0.9969, 0.6986]]), tensor([[0.4264, 0.2527, 0.9979, 0.4446]])]
labels----> [tensor([7]), tensor([7])]
difficulties----> [tensor([0], dtype=torch.uint8), tensor([0], dtype=torch.uint8)]
ssd的loss分为两部分,置信度误差confidence loss和位置location loss. 其中,confidence loss是对bbox的分类误差,使用cross entropy loss;而location是bbox的位置与ground truth的回归误差,使用smooth l1 loss.
对于location loss, 公式如下图, 其中$g_j^{cx}$, $g_j^{cx}$, $g_j^{w}$, $g_j^{h}$ 是第j个groud truth bbox的4个位置值(中心点x,y坐标以及bbox的宽,高). $d_i^{cx}$, $d_i^{cx}$, $d_i^{w}$, $d_i^{h}$ 则是第i个先验框(prior)的4个位置值(中心点x,y坐标以及bbox的宽,高). 而 $\hat{g}_j^{cx}$, $\hat{g}_j^{cx}$, $\hat{g}_j^{w}$, $\hat{g}_j^{h}$ 是由ground truth bbox j和 先验框(prior) i 算出的transform(或者叫offset)值.
$$ \hat{g}_{j}^{c x}=\left(g_{j}^{c x}-d_{i}^{c x}\right) / d_{i}^{w}, \hat{g}_{j}^{c y}=\left(g_{j}^{c y}-d_{i}^{c y}\right) / d_{i}^{h} $$$$ \hat{g}_{j}^{w}=\log \left(\frac{g_{j}^{w}}{d_{i}^{w}}\right), \hat{g}_{j}^{h}=\log \left(\frac{g_{j}^{h}}{d_{i}^{h}}\right) $$我们的目的是使得我们的CNN网络学习到这些transform(或者叫offset)值(即让输出的loc值逼近它们), 而当模型训练好后,进行目标检测时,我们只要将CNN输出的loc值与先验框(prior)的位置值做一个decode即可.在decode时, 公式如下,其中对于第i个prior,$d_i^{cx}$, $d_i^{cx}$, $d_i^{w}$, $d_i^{h}$是prior的位置值,$l_{i}^{cx}$, $l_{i}^{cy}$, $l_{i}^{w}$, $l_{i}^{h}$是我们模型输出的transform/offset值, $b_{i}^{cx}$, $b_{i}^{cy}$, $b_{i}^{w}$, $b_{i}^{h}$是我们检测到的物体对应图片的位置值.
$$ b_{i}^{w}=d_{i}^{w}\exp{(l_{i}^{w})}, b_{i}^{h}=d_{i}^{h}\exp{(l_{i}^{h})} $$$$ b_{i}^{cx}=d_{i}^{w}l^{cx} + d_{i}^{cx}, b_{i}^{cy}= d_{i}^{h}l^{cy} + d_{i}^{cy} $$location loss的公式如下,其中,$l^{m},m\in\{cx, cy, w, h\}$表示CNN对于每个先验框输出的loc值, $\hat{g}^{m}$表示由ground truth box j与先验框i算出的transform值. $x_{ij}^k \in \{0,1\}$是一个指示参数, $x_{ij}^k=1$时表示先验框i与ground truth box j匹配,且ground truth box j的类别为k. 这里使用smooth l1 loss来是模型学习到的loc值逼近由先验框与ground truth box得到的transform值.其中,Pos表示非背景的先验框的集合(计算每个prior与每个ground truth box的IOU,最大的IOU小于某个阈值的prior可以视为Negative(背景), 反之视为Positive(非背景)).
$$ L_{l o c}(x, l, g)=\sum_{i \in P o s}^{N} \quad \sum_{m \in\{c x, c y, w, h\}} x_{i j}^{k} \operatorname{smooth}_{\mathrm{Ll}}\left(l_{i}^{m}-\hat{g}_{j}^{m}\right) $$对于confidence loss, 如下图, $x_{ij}^p \in \{0,1\}$是一个指示参数, $x_{ij}^p=1$时表示先验框i与ground truth box j,且ground truth box j的类别为p(即label).这里直接使用cross entropy loss来计算它们的置信度误差. $\vec{c_i}$表示对于先验框i模型输出的(经过softmax)在每个类上的置信度输出.其中,Pos表示非背景的先验框的集合,而Neg表示为背景的先验框的集合. \begin{equation*} L_{conf} = \sum_{i \in Pos}x_{ij}^pCrossEntropy(\vec{c_i}, p) + \sum_{i \in Neg}CrossEntropy(\vec{c_i}, 0) \end{equation*}
在一般情况下,由于在目标检测中,背景的先验框的数量会远大于有object的先验框的数量,为了解决这个问题,在SSD的代码中使用了hard negative mining.即只选择negative(视为背景的prior)中选择loss值较大的项.
In [4]:
import torch.nn as nn
class MultiBoxLoss(nn.Module):
"""
The MultiBox loss, a loss function for object detection.
This is a combination of:
(1) a localization loss for the predicted locations of the boxes, and
(2) a confidence loss for the predicted class scores.
"""
def __init__(self, priors_cxcy, threshold=0.5, neg_pos_ratio=3, alpha=1.):
super(MultiBoxLoss, self).__init__()
self.priors_cxcy = priors_cxcy
self.priors_xy = cxcy_to_xy(priors_cxcy)
self.threshold = threshold
self.neg_pos_ratio = neg_pos_ratio
self.alpha = alpha
self.smooth_l1 = nn.SmoothL1Loss()
self.cross_entropy = nn.CrossEntropyLoss(reduce=False)
def forward(self, predicted_locs, predicted_scores, boxes, labels):
"""
Forward propagation.
:param predicted_locs: predicted locations/boxes w.r.t the 8732 prior boxes, a tensor of dimensions (N, 8732, 4)
:param predicted_scores: class scores for each of the encoded locations/boxes, a tensor of dimensions (N, 8732, n_classes)
:param boxes: true object bounding boxes in boundary coordinates, a list of N tensors
:param labels: true object labels, a list of N tensors
:return: multibox loss, a scalar
"""
batch_size = predicted_locs.size(0)
n_priors = self.priors_cxcy.size(0)
n_classes = predicted_scores.size(2)
assert n_priors == predicted_locs.size(1) == predicted_scores.size(1)
true_locs = torch.zeros((batch_size, n_priors, 4), dtype=torch.float).to(device) # (N, 8732, 4)
true_classes = torch.zeros((batch_size, n_priors), dtype=torch.long).to(device) # (N, 8732)
# For each image
for i in range(batch_size):
n_objects = boxes[i].size(0)
overlap = find_jaccard_overlap(boxes[i],
self.priors_xy) # (n_objects, 8732)
# For each prior, find the object that has the maximum overlap
overlap_for_each_prior, object_for_each_prior = overlap.max(dim=0) # (8732)
# We don't want a situation where an object is not represented in our positive (non-background) priors -
# 1. An object might not be the best object for all priors, and is therefore not in object_for_each_prior.
# 2. All priors with the object may be assigned as background based on the threshold (0.5).
# To remedy this -
# First, find the prior that has the maximum overlap for each object.
_, prior_for_each_object = overlap.max(dim=1) # (N_o)
# Then, assign each object to the corresponding maximum-overlap-prior. (This fixes 1.)
object_for_each_prior[prior_for_each_object] = torch.LongTensor(range(n_objects)).to(device)
# To ensure these priors qualify, artificially give them an overlap of greater than 0.5. (This fixes 2.)
overlap_for_each_prior[prior_for_each_object] = 1.
# Labels for each prior
label_for_each_prior = labels[i][object_for_each_prior] # (8732)
# Set priors whose overlaps with objects are less than the threshold to be background (no object)
label_for_each_prior[overlap_for_each_prior < self.threshold] = 0 # (8732)
# Store
true_classes[i] = label_for_each_prior
# Encode center-size object coordinates into the form we regressed predicted boxes to
true_locs[i] = cxcy_to_gcxgcy(xy_to_cxcy(boxes[i][object_for_each_prior]), self.priors_cxcy) # (8732, 4)
# Identify priors that are positive (object/non-background)
positive_priors = true_classes != 0 # (N, 8732)
# LOCALIZATION LOSS
# Localization loss is computed only over positive (non-background) priors
loc_loss = self.smooth_l1(predicted_locs[positive_priors], true_locs[positive_priors]) # (), scalar
# Note: indexing with a torch.uint8 (byte) tensor flattens the tensor when indexing is across multiple dimensions (N & 8732)
# So, if predicted_locs has the shape (N, 8732, 4), predicted_locs[positive_priors] will have (total positives, 4)
# CONFIDENCE LOSS
# Confidence loss is computed over positive priors and the most difficult (hardest) negative priors in each image
# That is, FOR EACH IMAGE,
# we will take the hardest (neg_pos_ratio * n_positives) negative priors, i.e where there is maximum loss
# This is called Hard Negative Mining - it concentrates on hardest negatives in each image, and also minimizes pos/neg imbalance
# Number of positive and hard-negative priors per image
n_positives = positive_priors.sum(dim=1) # (N)
n_hard_negatives = self.neg_pos_ratio * n_positives # (N)
# First, find the loss for all priors
conf_loss_all = self.cross_entropy(predicted_scores.view(-1, n_classes), true_classes.view(-1)) # (N * 8732)
conf_loss_all = conf_loss_all.view(batch_size, n_priors) # (N, 8732)
# We already know which priors are positive
conf_loss_pos = conf_loss_all[positive_priors] # (sum(n_positives))
# Next, find which priors are hard-negative
# To do this, sort ONLY negative priors in each image in order of decreasing loss and take top n_hard_negatives
conf_loss_neg = conf_loss_all.clone() # (N, 8732)
conf_loss_neg[positive_priors] = 0. # (N, 8732), positive priors are ignored (never in top n_hard_negatives)
conf_loss_neg, _ = conf_loss_neg.sort(dim=1, descending=True) # (N, 8732), sorted by decreasing hardness
hardness_ranks = torch.LongTensor(range(n_priors)).unsqueeze(0).expand_as(conf_loss_neg).to(device) # (N, 8732)
hard_negatives = hardness_ranks < n_hard_negatives.unsqueeze(1) # (N, 8732)
conf_loss_hard_neg = conf_loss_neg[hard_negatives] # (sum(n_hard_negatives))
# As in the paper, averaged over positive priors only, although computed over both positive and hard-negative priors
conf_loss = (conf_loss_hard_neg.sum() + conf_loss_pos.sum()) / n_positives.sum().float() # (), scalar
return conf_loss + self.alpha * loc_loss
In [ ]:
def train_model(train_loader, model, criterion, optimizer, epoch):
"""
One epoch's training.
:param train_loader: DataLoader for training data
:param model: model
:param criterion: MultiBox loss
:param optimizer: optimizer
:param epoch: epoch number
"""
model.train() # training mode enables dropout
# Batches
for i, (images, boxes, labels, _) in enumerate(train_loader):
# Move to default device
images = images.to(device) # (batch_size (N), 3, 300, 300)
boxes = [b.to(device) for b in boxes]
labels = [l.to(device) for l in labels]
# Forward prop.
predicted_locs, predicted_scores = model(images) # (N, 8732, 4), (N, 8732, n_classes)
# Loss
'''TODO'''
loss = criterion(predicted_locs, predicted_scores, boxes, labels) # scalar
# Backward prop.
'''TODO'''
optimizer.zero_grad()
loss.backward()
# Update model
'''TODO'''
optimizer.step()
# Print status
if i % print_freq == 0:
print('Loss {loss.val:.4f} ({loss.avg:.4f})\t'.format( loss=losses))
# free some memory since their histories may be stored
del predicted_locs, predicted_scores, images, boxes, labels
In [6]:
import time
import torch.backends.cudnn as cudnn
import torch.optim
import torch.utils.data
from model import SSD300, MultiBoxLoss
from datasets import PascalVOCDataset
from utils import *
from utils1 import *
data_folder = './json1' # folder with data files
keep_difficult = True # use objects considered difficult to detect?
# Model parameters
# Not too many here since the SSD300 has a very specific structure
n_classes = len(label_map) # number of different types of objects
device = torch.device("cuda:2" if torch.cuda.is_available() else "cpu")
# Learning parameters
checkpoint = None # path to model checkpoint, None if none
batch_size = 2 # batch size
start_epoch = 0 # start at this epoch
epochs = 3 # number of epochs to run without early-stopping
epochs_since_improvement = 0 # number of epochs since there was an improvement in the validation metric
best_loss = 100. # assume a high loss at first
workers = 1 # number of workers for loading data in the DataLoader
print_freq = 20 # print training or validation status every __ batches
lr = 1e-3 # learning rate
momentum = 0.9 # momentum
weight_decay = 5e-4 # weight decay
grad_clip = None # clip if gradients are exploding, which may happen at larger batch sizes (sometimes at 32) - you will recognize it by a sorting error in the MuliBox loss calculation
cudnn.benchmark = True
In [7]:
def main():
"""
Training and validation.
"""
global epochs_since_improvement, start_epoch, label_map, best_loss, epoch, checkpoint
optimizer, model = init_optimizer_and_model()
# Move to default device
model = model.to(device)
criterion = MultiBoxLoss(priors_cxcy=model.priors_cxcy).to(device)
# Epochs
for epoch in range(start_epoch, epochs):
# Paper describes decaying the learning rate at the 80000th, 100000th, 120000th 'iteration', i.e. model update or batch
# The paper uses a batch size of 32, which means there were about 517 iterations in an epoch
# Therefore, to find the epochs to decay at, you could do,
# if epoch in {80000 // 517, 100000 // 517, 120000 // 517}:
# adjust_learning_rate(optimizer, 0.1)
# In practice, I just decayed the learning rate when loss stopped improving for long periods,
# and I would resume from the last best checkpoint with the new learning rate,
# since there's no point in resuming at the most recent and significantly worse checkpoint.
# So, when you're ready to decay the learning rate, just set checkpoint = 'BEST_checkpoint_ssd300.pth.tar' above
# and have adjust_learning_rate(optimizer, 0.1) BEFORE this 'for' loop
# One epoch's training
train(train_loader=train_loader,
model=model,
criterion=criterion,
optimizer=optimizer,
epoch=epoch)
# One epoch's validation
val_loss = validate(val_loader=val_loader,
model=model,
criterion=criterion)
# Did validation loss improve?
is_best = val_loss < best_loss
best_loss = min(val_loss, best_loss)
if not is_best:
epochs_since_improvement += 1
print("\nEpochs since last improvement: %d\n" % (epochs_since_improvement,))
else:
epochs_since_improvement = 0
# Save checkpoint
save_checkpoint(epoch, epochs_since_improvement, model, optimizer, val_loss, best_loss, is_best)
if __name__ == '__main__':
main()
Loaded base model.
/opt/conda/lib/python3.6/site-packages/torch/nn/_reduction.py:49: UserWarning: size_average and reduce args will be deprecated, please use reduction='none' instead.
warnings.warn(warning.format(ret))
Epoch: [0][0/100] Batch Time 8.571 (8.571) Data Time 0.326 (0.326) Loss 19.5050 (19.5050)
[0/100] Batch Time 0.557 (0.557) Loss 21.5881 (21.5881)
* LOSS - 18.171
Epoch: [1][0/100] Batch Time 0.338 (0.338) Data Time 0.269 (0.269) Loss 19.3107 (19.3107)
[0/100] Batch Time 0.117 (0.117) Loss 4.1950 (4.1950)
* LOSS - 13.051
Epoch: [2][0/100] Batch Time 0.188 (0.188) Data Time 0.126 (0.126) Loss 4.0797 (4.0797)
[0/100] Batch Time 0.124 (0.124) Loss 3.8275 (3.8275)
* LOSS - 12.865
In [11]:
from detect import *
from PIL import Image
from torchvision import transforms
from matplotlib import pyplot as plt
if __name__ == '__main__':
img_path = './data1/VOC2007/JPEGImages/000220.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.2, max_overlap=0.5, top_k=200)
plt.imshow(img)
plt.show()
答:
可以观察到,min_score
调小之后,匹配的物体数量增多了,min_score
调大之后,匹配的物体数量增多了。 因为它是考虑匹配的最小阈值,越小则可能匹配的概率越大。
max_overlap
越大,匹配的物体数量越多,max_overlap
越小,匹配的物体数量越少。该值影响物体之间的覆盖层度,越大则匹配出多个物体的概率越大。
top_k
越大,匹配的物体数越多,top_k
越小,匹配的物体数越少。在改动该参数时,需要将max_overlap
调高,不然很难看出效果。
In [13]:
img_path = './data1/VOC2007/JPEGImages/000220.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.1, max_overlap=0.5, top_k=200)
plt.imshow(img)
plt.show()
In [14]:
img_path = './data1/VOC2007/JPEGImages/000220.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.3, max_overlap=0.5, top_k=200)
plt.imshow(img)
plt.show()
In [15]:
img_path = './data1/VOC2007/JPEGImages/000220.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.2, max_overlap=0.3, top_k=200)
plt.imshow(img)
plt.show()
In [16]:
img_path = './data1/VOC2007/JPEGImages/000220.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.2, max_overlap=0.7, top_k=200)
plt.imshow(img)
plt.show()
In [30]:
img_path = './data1/VOC2007/JPEGImages/000233.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.2, max_overlap=1, top_k=10)
plt.imshow(img)
plt.show()
In [32]:
img_path = './data1/VOC2007/JPEGImages/000233.jpg'
original_image = Image.open(img_path, mode='r')
original_image = original_image.convert('RGB')
img = detect(original_image, min_score=0.2, max_overlap=1, top_k=20)
plt.imshow(img)
plt.show()
In [37]:
from eval import *
if __name__ == '__main__':
evaluate(test_loader, model)
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{'aeroplane': 0.0,
'bicycle': 0.0,
'bird': 0.0,
'boat': 0.0,
'bottle': 0.0,
'bus': 0.0,
'car': 0.7861409783363342,
'cat': 0.0,
'chair': 0.0,
'cow': 0.0,
'diningtable': 0.0,
'dog': 0.0,
'horse': 0.0,
'motorbike': 0.0,
'person': 0.0,
'pottedplant': 0.0,
'sheep': 0.0,
'sofa': 0.0,
'train': 0.4628099203109741,
'tvmonitor': 0.0}
Mean Average Precision (mAP): 0.062
In [2]:
import train
# train model
# Setting the parameters you want in train.py file
train.main()
In [ ]:
import detect
# detect
# Setting the parameters you want in detect.py file
detect.main()
In [ ]:
import eval
# evaluate the model
eval.main()
decimate()函数主要是在进行全连接层转化为卷积的时候进行间隔抽样,以达成空洞卷积的目的。
calculate_mAP()函数是计算mAP即Mean Average Precision,这一指标是近年来用来衡量目标检测算法性能的重要指标,它的核心原理如下:
- 将所有的detection_box按detection_score进行排序
- 计算每个detection_box与所有groundtruth_box的IOU
- 取IOU最大(max_IOU)的groundtruth_box作为这个detection_box的预测结果是否正确的判断依据,然后根据max_IOU的结果判断预测结果是TP还是FP进而画出PR曲线,最后再在每一类上做平均得到mAP。
- 一个不错的深入了解链接.mAP详解
In [3]:
def find_intersection(set_1, set_2):
"""
Find the intersection of every box combination between two sets of boxes that are in boundary coordinates.
:param set_1: set 1, a tensor of dimensions (n1, 4)
:param set_2: set 2, a tensor of dimensions (n2, 4)
:return: intersection of each of the boxes in set 1 with respect to each of the boxes in set 2, a tensor of dimensions (n1, n2)
"""
# PyTorch auto-broadcasts singleton dimensions
lower_bounds = torch.max(set_1[:, :2].unsqueeze(1), set_2[:, :2].unsqueeze(0)) # (n1, n2, 2)
upper_bounds = torch.min(set_1[:, 2:].unsqueeze(1), set_2[:, 2:].unsqueeze(0)) # (n1, n2, 2)
intersection_dims = torch.clamp(upper_bounds - lower_bounds, min=0) # (n1, n2, 2)
return intersection_dims[:, :, 0] * intersection_dims[:, :, 1] # (n1, n2)
计算完相交的部分后,计算IoU便比较简单,只需要用相交部分除以相并的部分
In [4]:
def find_jaccard_overlap(set_1, set_2):
"""
Find the Jaccard Overlap (IoU) of every box combination between two sets of boxes that are in boundary coordinates.
:param set_1: set 1, a tensor of dimensions (n1, 4)
:param set_2: set 2, a tensor of dimensions (n2, 4)
:return: Jaccard Overlap of each of the boxes in set 1 with respect to each of the boxes in set 2, a tensor of dimensions (n1, n2)
"""
# Find intersections
intersection = find_intersection(set_1, set_2) # (n1, n2)
# Find areas of each box in both sets
areas_set_1 = (set_1[:, 2] - set_1[:, 0]) * (set_1[:, 3] - set_1[:, 1]) # (n1)
areas_set_2 = (set_2[:, 2] - set_2[:, 0]) * (set_2[:, 3] - set_2[:, 1]) # (n2)
# Find the union
# PyTorch auto-broadcasts singleton dimensions
union = areas_set_1.unsqueeze(1) + areas_set_2.unsqueeze(0) - intersection # (n1, n2)
return intersection / union # (n1, n2)
NMS是目标检测的重要算法,它的作用是用来去掉模型预测后的多余框。如下图所示:
NMS算法处理后
算法流程
- 设定一个阈值IOU假设为0.5,选取每一类box中scores最大的那一个,记为box_best,并保留它
- 计算box_best与其余的box的IOU,如果其IOU>0.5了,那么就舍弃这个box(由于可能这两个box表示同一目标,所以保留分数高的哪一个)
- 从最后剩余的boxes中,再找出最大scores的哪一个,如此循环往复
一个简单的例子
- 比如现在滑动窗口有:A、B、C、D、E、F、G、H、I、J个,假设A是得分最高的,IOU>0.7淘汰。 第一轮:与A计算IOU,BEG>0.7,剔除,剩余CDFHIJ 第二轮:假设CDFHIJ中F得分最高,与F计算IOU,DHI>0.7,剔除,剩余CJ 第三轮:假设CJ中C得分最高,J与C计算IOU,若结果>0.7,则AFC就是选择出来的窗口。
In [5]:
def NMS(n_classes, predicted_scores, min_score, decoded_locs, max_overlap, image_boxes,
image_labels, image_scores):
for c in range(1, n_classes):
# Keep only predicted boxes and scores where scores for this class are above the minimum score
class_scores = predicted_scores[i][:, c] # (8732)
score_above_min_score = class_scores > min_score # torch.uint8 (byte) tensor, for indexing
n_above_min_score = score_above_min_score.sum().item()
if n_above_min_score == 0:
continue
class_scores = class_scores[score_above_min_score] # (n_qualified), n_min_score <= 8732
class_decoded_locs = decoded_locs[score_above_min_score] # (n_qualified, 4)
# Sort predicted boxes and scores by scores
class_scores, sort_ind = class_scores.sort(dim=0, descending=True) # (n_qualified), (n_min_score)
class_decoded_locs = class_decoded_locs[sort_ind] # (n_min_score, 4)
# Find the overlap between predicted boxes
overlap = find_jaccard_overlap(class_decoded_locs, class_decoded_locs) # (n_qualified, n_min_score)
# Non-Maximum Suppression (NMS)
# A torch.uint8 (byte) tensor to keep track of which predicted boxes to suppress
# 1 implies suppress, 0 implies don't suppress
suppress = torch.zeros((n_above_min_score), dtype=torch.uint8).to(device) # (n_qualified)
# Consider each box in order of decreasing scores
for box in range(class_decoded_locs.size(0)):
# If this box is already marked for suppression
if suppress[box] == 1:
continue
# Suppress boxes whose overlaps (with this box) are greater than maximum overlap
# Find such boxes and update suppress indices
suppress = torch.max(suppress, overlap[box] > max_overlap)
# The max operation retains previously suppressed boxes, like an 'OR' operation
# Don't suppress this box, even though it has an overlap of 1 with itself
suppress[box] = 0
# Store only unsuppressed boxes for this class
image_boxes.append(class_decoded_locs[1 - suppress])
image_labels.append(torch.LongTensor((1 - suppress).sum().item() * [c]).to(device))
image_scores.append(class_scores[1 - suppress])
Content source: MegaShow/college-programming
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