My CNN won't learn or improve accuracy, even though its architecture is correct

I’m doing a CNN for a task, but it won’t learn and improve accuracy. I made a version working with the MNIST so I could post it here. I’m just looking for an answer as to why it’s not working. The architecture is fine, I implemented it in Keras and I had over 92% accuracy after 3 epochs. Note: I reshaped the MNIST into 60x60 pictures because that’s how the pictures are in my “real” problem.

import numpy as np
from PIL import Image
import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.optim as optim
from torch.utils.data import DataLoader
from torch.autograd import Variable
from keras.datasets import mnist

(x_train, y_train), (x_test, y_test) = mnist.load_data()


def resize(pics):
    pictures = []
    for image in pics:
        image = Image.fromarray(image).resize((dim, dim))
        image = np.array(image)
        pictures.append(image)
    return np.array(pictures)


dim = 60

x_train, x_test = resize(x_train), resize(x_test)  # because my real problem is in 60x60

x_train = x_train.reshape(-1, 1, dim, dim).astype('float32') / 255
x_test = x_test.reshape(-1, 1, dim, dim).astype('float32') / 255
y_train, y_test = y_train.astype('float32'), y_test.astype('float32') 

if torch.cuda.is_available():
    x_train = torch.from_numpy(x_train)[:10_000]
    x_test = torch.from_numpy(x_test)[:4_000] 
    y_train = torch.from_numpy(y_train)[:10_000] 
    y_test = torch.from_numpy(y_test)[:4_000]


class ConvNet(nn.Module):
    
    def __init__(self):
        super().__init__()
        self.conv1 = nn.Conv2d(1, 32, 3)
        self.conv2 = nn.Conv2d(32, 64, 3)
        self.conv3 = nn.Conv2d(64, 128, 3)
        
        self.fc1 = nn.Linear(5*5*128, 1024) 
        self.fc2 = nn.Linear(1024, 2048)
        self.fc3 = nn.Linear(2048, 1)
    
    def forward(self, x):
        x = F.max_pool2d(F.relu(self.conv1(x)), (2, 2))
        x = F.max_pool2d(F.relu(self.conv2(x)), (2, 2))
        x = F.max_pool2d(F.relu(self.conv3(x)), (2, 2))
        
        x = x.view(x.size(0), -1) 
        x = F.relu(self.fc1(x))
        x = F.relu(self.fc2(x))
        x = F.dropout(x, 0.5)
        x = torch.sigmoid(self.fc3(x))
        return x


net = ConvNet()

optimizer = optim.Adam(net.parameters(), lr=0.03)

loss_function = nn.BCELoss()


class FaceTrain:
    
    def __init__(self):
        self.len = x_train.shape[0]
        self.x_train = x_train
        self.y_train = y_train
        
    def __getitem__(self, index):
        return x_train[index], y_train[index].unsqueeze(0)
    
    def __len__(self):
        return self.len


class FaceTest:
    
    def __init__(self):
        self.len = x_test.shape[0]
        self.x_test = x_test
        self.y_test = y_test
        
    def __getitem__(self, index):
        return x_test[index], y_test[index].unsqueeze(0)
    
    def __len__(self):
        return self.len


train = FaceTrain()
test = FaceTest()

train_loader = DataLoader(dataset=train, batch_size=64, shuffle=True)
test_loader = DataLoader(dataset=test, batch_size=64, shuffle=True)

epochs = 10
steps = 0
train_losses, test_losses = [], []
for e in range(epochs):
    running_loss = 0
    for images, labels in train_loader: 
        optimizer.zero_grad()
        log_ps = net(images)
        loss = loss_function(log_ps, labels)
        loss.backward()
        optimizer.step()        
        running_loss += loss.item()        
    else:
        test_loss = 0
        accuracy = 0        

        with torch.no_grad():
            for images, labels in test_loader: 
                log_ps = net(images)
                test_loss += loss_function(log_ps, labels)                
                ps = torch.exp(log_ps)
                top_p, top_class = ps.topk(1, dim=1)
                equals = top_class.type('torch.LongTensor') == labels.type(torch.LongTensor).view(*top_class.shape)
                accuracy += torch.mean(equals.type('torch.FloatTensor'))
        train_losses.append(running_loss/len(train_loader))
        test_losses.append(test_loss/len(test_loader))
        print("[Epoch: {}/{}] ".format(e+1, epochs),
              "[Training Loss: {:.3f}] ".format(running_loss/len(train_loader)),
              "[Test Loss: {:.3f}] ".format(test_loss/len(test_loader)),
              "[Test Accuracy: {:.3f}]".format(accuracy/len(test_loader)))

I cannot find any obvious error by skimming through your code.
However, do you see a static output? Could you remove the sigmoid and use nn.BCEWithLogitsLoss as your criterion? Maybe your output is saturated and your gradients are vanishing.

Thanks for your response. Fortunately, some user on Stack Overflow found that it was a problem with output shape, loss function, and data type. Problem solved!