Note
Go to the end to download the full example code.
Segmentation tutorial
This example demonstrates image segmentation with an Akida-compatible model as illustrated through person segmentation using the Portrait128 dataset.
Using pre-trained models for quick runtime, this example shows the evolution of model performance for a trained keras floating point model, a keras quantized and Quantization Aware Trained (QAT) model, and an Akida-converted model. Notice that the performance of the original keras floating point model is maintained throughout the model conversion flow.
1. Load the dataset
import os
import numpy as np
from akida_models import fetch_file
# Download validation set from Brainchip data server, it contains 10% of the original dataset
data_path = fetch_file(fname="val.tar.gz",
origin="https://data.brainchip.com/dataset-mirror/portrait128/val.tar.gz",
cache_subdir=os.path.join("datasets", "portrait128"),
extract=True)
data_dir = os.path.join(os.path.dirname(data_path), "val")
x_val = np.load(os.path.join(data_dir, "val_img.npy"))
y_val = np.load(os.path.join(data_dir, "val_msk.npy")).astype('uint8')
batch_size = 32
steps = x_val.shape[0] // 32
# Visualize some data
import matplotlib.pyplot as plt
id = np.random.randint(0, x_val.shape[0])
fig, axs = plt.subplots(3, 3, constrained_layout=True)
for col in range(3):
axs[0, col].imshow(x_val[id + col] / 255.)
axs[0, col].axis('off')
axs[1, col].imshow(1 - y_val[id + col], cmap='Greys')
axs[1, col].axis('off')
axs[2, col].imshow(x_val[id + col] / 255. * y_val[id + col])
axs[2, col].axis('off')
fig.suptitle('Image, mask and masked image', fontsize=10)
plt.show()
Downloading data from https://data.brainchip.com/dataset-mirror/portrait128/val.tar.gz.
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2. Load a pre-trained native Keras model
The model used in this example is AkidaUNet. It has an AkidaNet (0.5) backbone to extract features combined with a succession of separable transposed convolutional blocks to build an image segmentation map. A pre-trained floating point keras model is downloaded to save training time.
Note
The “transposed” convolutional feature is new in Akida 2.0.
The “separable transposed” operation is realized through the combination of a QuantizeML custom DepthwiseConv2DTranspose layer with a standard pointwise convolution.
The performance of the model is evaluated using both pixel accuracy and Binary IoU. The pixel accuracy describes how well the model can predict the segmentation mask pixel by pixel and the Binary IoU takes into account how close the predicted mask is to the ground truth.
from akida_models.model_io import load_model
# Retrieve the model file from Brainchip data server
model_file = fetch_file(fname="akida_unet_portrait128.h5",
origin="https://data.brainchip.com/models/AkidaV2/akida_unet/akida_unet_portrait128.h5",
cache_subdir='models')
# Load the native Keras pre-trained model
model_keras = load_model(model_file)
model_keras.summary()
Downloading data from https://data.brainchip.com/models/AkidaV2/akida_unet/akida_unet_portrait128.h5.
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Model: "akida_unet"
_________________________________________________________________
Layer (type) Output Shape Param #
=================================================================
input (InputLayer) [(None, 128, 128, 3)] 0
rescaling (Rescaling) (None, 128, 128, 3) 0
conv_0 (Conv2D) (None, 64, 64, 16) 432
conv_0/BN (BatchNormalizat (None, 64, 64, 16) 64
ion)
conv_0/relu (ReLU) (None, 64, 64, 16) 0
conv_1 (Conv2D) (None, 64, 64, 32) 4608
conv_1/BN (BatchNormalizat (None, 64, 64, 32) 128
ion)
conv_1/relu (ReLU) (None, 64, 64, 32) 0
conv_2 (Conv2D) (None, 32, 32, 64) 18432
conv_2/BN (BatchNormalizat (None, 32, 32, 64) 256
ion)
conv_2/relu (ReLU) (None, 32, 32, 64) 0
conv_3 (Conv2D) (None, 32, 32, 64) 36864
conv_3/BN (BatchNormalizat (None, 32, 32, 64) 256
ion)
conv_3/relu (ReLU) (None, 32, 32, 64) 0
dw_separable_4 (DepthwiseC (None, 16, 16, 64) 576
onv2D)
pw_separable_4 (Conv2D) (None, 16, 16, 128) 8192
pw_separable_4/BN (BatchNo (None, 16, 16, 128) 512
rmalization)
pw_separable_4/relu (ReLU) (None, 16, 16, 128) 0
dw_separable_5 (DepthwiseC (None, 16, 16, 128) 1152
onv2D)
pw_separable_5 (Conv2D) (None, 16, 16, 128) 16384
pw_separable_5/BN (BatchNo (None, 16, 16, 128) 512
rmalization)
pw_separable_5/relu (ReLU) (None, 16, 16, 128) 0
dw_separable_6 (DepthwiseC (None, 8, 8, 128) 1152
onv2D)
pw_separable_6 (Conv2D) (None, 8, 8, 256) 32768
pw_separable_6/BN (BatchNo (None, 8, 8, 256) 1024
rmalization)
pw_separable_6/relu (ReLU) (None, 8, 8, 256) 0
dw_separable_7 (DepthwiseC (None, 8, 8, 256) 2304
onv2D)
pw_separable_7 (Conv2D) (None, 8, 8, 256) 65536
pw_separable_7/BN (BatchNo (None, 8, 8, 256) 1024
rmalization)
pw_separable_7/relu (ReLU) (None, 8, 8, 256) 0
dw_separable_8 (DepthwiseC (None, 8, 8, 256) 2304
onv2D)
pw_separable_8 (Conv2D) (None, 8, 8, 256) 65536
pw_separable_8/BN (BatchNo (None, 8, 8, 256) 1024
rmalization)
pw_separable_8/relu (ReLU) (None, 8, 8, 256) 0
dw_separable_9 (DepthwiseC (None, 8, 8, 256) 2304
onv2D)
pw_separable_9 (Conv2D) (None, 8, 8, 256) 65536
pw_separable_9/BN (BatchNo (None, 8, 8, 256) 1024
rmalization)
pw_separable_9/relu (ReLU) (None, 8, 8, 256) 0
dw_separable_10 (Depthwise (None, 8, 8, 256) 2304
Conv2D)
pw_separable_10 (Conv2D) (None, 8, 8, 256) 65536
pw_separable_10/BN (BatchN (None, 8, 8, 256) 1024
ormalization)
pw_separable_10/relu (ReLU (None, 8, 8, 256) 0
)
dw_separable_11 (Depthwise (None, 8, 8, 256) 2304
Conv2D)
pw_separable_11 (Conv2D) (None, 8, 8, 256) 65536
pw_separable_11/BN (BatchN (None, 8, 8, 256) 1024
ormalization)
pw_separable_11/relu (ReLU (None, 8, 8, 256) 0
)
dw_separable_12 (Depthwise (None, 4, 4, 256) 2304
Conv2D)
pw_separable_12 (Conv2D) (None, 4, 4, 512) 131072
pw_separable_12/BN (BatchN (None, 4, 4, 512) 2048
ormalization)
pw_separable_12/relu (ReLU (None, 4, 4, 512) 0
)
dw_separable_13 (Depthwise (None, 4, 4, 512) 4608
Conv2D)
pw_separable_13 (Conv2D) (None, 4, 4, 512) 262144
pw_separable_13/BN (BatchN (None, 4, 4, 512) 2048
ormalization)
pw_separable_13/relu (ReLU (None, 4, 4, 512) 0
)
dw_sepconv_t_0 (DepthwiseC (None, 8, 8, 512) 5120
onv2DTranspose)
pw_sepconv_t_0 (Conv2D) (None, 8, 8, 256) 131328
pw_sepconv_t_0/BN (BatchNo (None, 8, 8, 256) 1024
rmalization)
pw_sepconv_t_0/relu (ReLU) (None, 8, 8, 256) 0
dropout (Dropout) (None, 8, 8, 256) 0
dw_sepconv_t_1 (DepthwiseC (None, 16, 16, 256) 2560
onv2DTranspose)
pw_sepconv_t_1 (Conv2D) (None, 16, 16, 128) 32896
pw_sepconv_t_1/BN (BatchNo (None, 16, 16, 128) 512
rmalization)
pw_sepconv_t_1/relu (ReLU) (None, 16, 16, 128) 0
dropout_1 (Dropout) (None, 16, 16, 128) 0
dw_sepconv_t_2 (DepthwiseC (None, 32, 32, 128) 1280
onv2DTranspose)
pw_sepconv_t_2 (Conv2D) (None, 32, 32, 64) 8256
pw_sepconv_t_2/BN (BatchNo (None, 32, 32, 64) 256
rmalization)
pw_sepconv_t_2/relu (ReLU) (None, 32, 32, 64) 0
dropout_2 (Dropout) (None, 32, 32, 64) 0
dw_sepconv_t_3 (DepthwiseC (None, 64, 64, 64) 640
onv2DTranspose)
pw_sepconv_t_3 (Conv2D) (None, 64, 64, 32) 2080
pw_sepconv_t_3/BN (BatchNo (None, 64, 64, 32) 128
rmalization)
pw_sepconv_t_3/relu (ReLU) (None, 64, 64, 32) 0
dropout_3 (Dropout) (None, 64, 64, 32) 0
dw_sepconv_t_4 (DepthwiseC (None, 128, 128, 32) 320
onv2DTranspose)
pw_sepconv_t_4 (Conv2D) (None, 128, 128, 16) 528
pw_sepconv_t_4/BN (BatchNo (None, 128, 128, 16) 64
rmalization)
pw_sepconv_t_4/relu (ReLU) (None, 128, 128, 16) 0
dropout_4 (Dropout) (None, 128, 128, 16) 0
head (Conv2D) (None, 128, 128, 1) 17
sigmoid_act (Activation) (None, 128, 128, 1) 0
=================================================================
Total params: 1058865 (4.04 MB)
Trainable params: 1051889 (4.01 MB)
Non-trainable params: 6976 (27.25 KB)
_________________________________________________________________
from keras.metrics import BinaryIoU
# Compile the native Keras model (required to evaluate the metrics)
model_keras.compile(loss='binary_crossentropy', metrics=[BinaryIoU(), 'accuracy'])
# Check Keras model performance
_, biou, acc = model_keras.evaluate(x_val, y_val, steps=steps, verbose=0)
print(f"Keras binary IoU / pixel accuracy: {biou:.4f} / {100*acc:.2f}%")
Keras binary IoU / pixel accuracy: 0.9324 / 96.62%
3. Load a pre-trained quantized Keras model
The next step is to quantize and potentially perform Quantize Aware Training (QAT) on the Keras model from the previous step. After the Keras model is quantized to 8-bits for all weights and activations, QAT is used to maintain the performance of the quantized model. Again, a pre-trained model is downloaded to save runtime.
from akida_models import akida_unet_portrait128_pretrained
# Load the pre-trained quantized model
model_quantized_keras = akida_unet_portrait128_pretrained()
model_quantized_keras.summary()
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Model: "akida_unet"
_________________________________________________________________
Layer (type) Output Shape Param #
=================================================================
input (InputLayer) [(None, 128, 128, 3)] 0
rescaling (QuantizedRescal (None, 128, 128, 3) 0
ing)
conv_0 (QuantizedConv2D) (None, 64, 64, 16) 448
conv_0/relu (QuantizedReLU (None, 64, 64, 16) 32
)
conv_1 (QuantizedConv2D) (None, 64, 64, 32) 4640
conv_1/relu (QuantizedReLU (None, 64, 64, 32) 64
)
conv_2 (QuantizedConv2D) (None, 32, 32, 64) 18496
conv_2/relu (QuantizedReLU (None, 32, 32, 64) 128
)
conv_3 (QuantizedConv2D) (None, 32, 32, 64) 36928
conv_3/relu (QuantizedReLU (None, 32, 32, 64) 128
)
dw_separable_4 (QuantizedD (None, 16, 16, 64) 704
epthwiseConv2D)
pw_separable_4 (QuantizedC (None, 16, 16, 128) 8320
onv2D)
pw_separable_4/relu (Quant (None, 16, 16, 128) 256
izedReLU)
dw_separable_5 (QuantizedD (None, 16, 16, 128) 1408
epthwiseConv2D)
pw_separable_5 (QuantizedC (None, 16, 16, 128) 16512
onv2D)
pw_separable_5/relu (Quant (None, 16, 16, 128) 256
izedReLU)
dw_separable_6 (QuantizedD (None, 8, 8, 128) 1408
epthwiseConv2D)
pw_separable_6 (QuantizedC (None, 8, 8, 256) 33024
onv2D)
pw_separable_6/relu (Quant (None, 8, 8, 256) 512
izedReLU)
dw_separable_7 (QuantizedD (None, 8, 8, 256) 2816
epthwiseConv2D)
pw_separable_7 (QuantizedC (None, 8, 8, 256) 65792
onv2D)
pw_separable_7/relu (Quant (None, 8, 8, 256) 512
izedReLU)
dw_separable_8 (QuantizedD (None, 8, 8, 256) 2816
epthwiseConv2D)
pw_separable_8 (QuantizedC (None, 8, 8, 256) 65792
onv2D)
pw_separable_8/relu (Quant (None, 8, 8, 256) 512
izedReLU)
dw_separable_9 (QuantizedD (None, 8, 8, 256) 2816
epthwiseConv2D)
pw_separable_9 (QuantizedC (None, 8, 8, 256) 65792
onv2D)
pw_separable_9/relu (Quant (None, 8, 8, 256) 512
izedReLU)
dw_separable_10 (Quantized (None, 8, 8, 256) 2816
DepthwiseConv2D)
pw_separable_10 (Quantized (None, 8, 8, 256) 65792
Conv2D)
pw_separable_10/relu (Quan (None, 8, 8, 256) 512
tizedReLU)
dw_separable_11 (Quantized (None, 8, 8, 256) 2816
DepthwiseConv2D)
pw_separable_11 (Quantized (None, 8, 8, 256) 65792
Conv2D)
pw_separable_11/relu (Quan (None, 8, 8, 256) 512
tizedReLU)
dw_separable_12 (Quantized (None, 4, 4, 256) 2816
DepthwiseConv2D)
pw_separable_12 (Quantized (None, 4, 4, 512) 131584
Conv2D)
pw_separable_12/relu (Quan (None, 4, 4, 512) 1024
tizedReLU)
dw_separable_13 (Quantized (None, 4, 4, 512) 5632
DepthwiseConv2D)
pw_separable_13 (Quantized (None, 4, 4, 512) 262656
Conv2D)
pw_separable_13/relu (Quan (None, 4, 4, 512) 1024
tizedReLU)
dw_sepconv_t_0 (QuantizedD (None, 8, 8, 512) 6144
epthwiseConv2DTranspose)
pw_sepconv_t_0 (QuantizedC (None, 8, 8, 256) 131328
onv2D)
pw_sepconv_t_0/relu (Quant (None, 8, 8, 256) 512
izedReLU)
dropout (QuantizedDropout) (None, 8, 8, 256) 0
dw_sepconv_t_1 (QuantizedD (None, 16, 16, 256) 3072
epthwiseConv2DTranspose)
pw_sepconv_t_1 (QuantizedC (None, 16, 16, 128) 32896
onv2D)
pw_sepconv_t_1/relu (Quant (None, 16, 16, 128) 256
izedReLU)
dropout_1 (QuantizedDropou (None, 16, 16, 128) 0
t)
dw_sepconv_t_2 (QuantizedD (None, 32, 32, 128) 1536
epthwiseConv2DTranspose)
pw_sepconv_t_2 (QuantizedC (None, 32, 32, 64) 8256
onv2D)
pw_sepconv_t_2/relu (Quant (None, 32, 32, 64) 128
izedReLU)
dropout_2 (QuantizedDropou (None, 32, 32, 64) 0
t)
dw_sepconv_t_3 (QuantizedD (None, 64, 64, 64) 768
epthwiseConv2DTranspose)
pw_sepconv_t_3 (QuantizedC (None, 64, 64, 32) 2080
onv2D)
pw_sepconv_t_3/relu (Quant (None, 64, 64, 32) 64
izedReLU)
dropout_3 (QuantizedDropou (None, 64, 64, 32) 0
t)
dw_sepconv_t_4 (QuantizedD (None, 128, 128, 32) 384
epthwiseConv2DTranspose)
pw_sepconv_t_4 (QuantizedC (None, 128, 128, 16) 528
onv2D)
pw_sepconv_t_4/relu (Quant (None, 128, 128, 16) 32
izedReLU)
dropout_4 (QuantizedDropou (None, 128, 128, 16) 0
t)
head (QuantizedConv2D) (None, 128, 128, 1) 17
head/dequantizer (Dequanti (None, 128, 128, 1) 0
zer)
sigmoid_act (Activation) (None, 128, 128, 1) 0
=================================================================
Total params: 1061601 (4.05 MB)
Trainable params: 1047905 (4.00 MB)
Non-trainable params: 13696 (53.50 KB)
_________________________________________________________________
# Compile the quantized Keras model (required to evaluate the metrics)
model_quantized_keras.compile(loss='binary_crossentropy', metrics=[BinaryIoU(), 'accuracy'])
# Check Keras model performance
_, biou, acc = model_quantized_keras.evaluate(x_val, y_val, steps=steps, verbose=0)
print(f"Keras quantized binary IoU / pixel accuracy: {biou:.4f} / {100*acc:.2f}%")
Keras quantized binary IoU / pixel accuracy: 0.9319 / 96.59%
4. Conversion to Akida
Finally, the quantized Keras model from the previous step is converted into an Akida model and its performance is evaluated. Note that the original performance of the keras floating point model is maintained throughout the conversion process in this example.
from cnn2snn import convert
# Convert the model
model_akida = convert(model_quantized_keras)
model_akida.summary()
/usr/local/lib/python3.11/dist-packages/cnn2snn/quantizeml/blocks.py:160: UserWarning: Conversion stops at layer head because of a dequantizer. The end of the model is ignored:
___________________________________________________
Layer (type)
===================================================
sigmoid_act (Activation)
===================================================
warnings.warn("Conversion stops" + stop_layer_msg + " because of a dequantizer. "
Model Summary
_________________________________________________
Input shape Output shape Sequences Layers
=================================================
[128, 128, 3] [128, 128, 1] 1 36
_________________________________________________
_____________________________________________________________________________
Layer (type) Output shape Kernel shape
=================== SW/conv_0-head/dequantizer (Software) ===================
conv_0 (InputConv2D) [64, 64, 16] (3, 3, 3, 16)
_____________________________________________________________________________
conv_1 (Conv2D) [64, 64, 32] (3, 3, 16, 32)
_____________________________________________________________________________
conv_2 (Conv2D) [32, 32, 64] (3, 3, 32, 64)
_____________________________________________________________________________
conv_3 (Conv2D) [32, 32, 64] (3, 3, 64, 64)
_____________________________________________________________________________
dw_separable_4 (DepthwiseConv2D) [16, 16, 64] (3, 3, 64, 1)
_____________________________________________________________________________
pw_separable_4 (Conv2D) [16, 16, 128] (1, 1, 64, 128)
_____________________________________________________________________________
dw_separable_5 (DepthwiseConv2D) [16, 16, 128] (3, 3, 128, 1)
_____________________________________________________________________________
pw_separable_5 (Conv2D) [16, 16, 128] (1, 1, 128, 128)
_____________________________________________________________________________
dw_separable_6 (DepthwiseConv2D) [8, 8, 128] (3, 3, 128, 1)
_____________________________________________________________________________
pw_separable_6 (Conv2D) [8, 8, 256] (1, 1, 128, 256)
_____________________________________________________________________________
dw_separable_7 (DepthwiseConv2D) [8, 8, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_7 (Conv2D) [8, 8, 256] (1, 1, 256, 256)
_____________________________________________________________________________
dw_separable_8 (DepthwiseConv2D) [8, 8, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_8 (Conv2D) [8, 8, 256] (1, 1, 256, 256)
_____________________________________________________________________________
dw_separable_9 (DepthwiseConv2D) [8, 8, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_9 (Conv2D) [8, 8, 256] (1, 1, 256, 256)
_____________________________________________________________________________
dw_separable_10 (DepthwiseConv2D) [8, 8, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_10 (Conv2D) [8, 8, 256] (1, 1, 256, 256)
_____________________________________________________________________________
dw_separable_11 (DepthwiseConv2D) [8, 8, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_11 (Conv2D) [8, 8, 256] (1, 1, 256, 256)
_____________________________________________________________________________
dw_separable_12 (DepthwiseConv2D) [4, 4, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_separable_12 (Conv2D) [4, 4, 512] (1, 1, 256, 512)
_____________________________________________________________________________
dw_separable_13 (DepthwiseConv2D) [4, 4, 512] (3, 3, 512, 1)
_____________________________________________________________________________
pw_separable_13 (Conv2D) [4, 4, 512] (1, 1, 512, 512)
_____________________________________________________________________________
dw_sepconv_t_0 (DepthwiseConv2DTranspose) [8, 8, 512] (3, 3, 512, 1)
_____________________________________________________________________________
pw_sepconv_t_0 (Conv2D) [8, 8, 256] (1, 1, 512, 256)
_____________________________________________________________________________
dw_sepconv_t_1 (DepthwiseConv2DTranspose) [16, 16, 256] (3, 3, 256, 1)
_____________________________________________________________________________
pw_sepconv_t_1 (Conv2D) [16, 16, 128] (1, 1, 256, 128)
_____________________________________________________________________________
dw_sepconv_t_2 (DepthwiseConv2DTranspose) [32, 32, 128] (3, 3, 128, 1)
_____________________________________________________________________________
pw_sepconv_t_2 (Conv2D) [32, 32, 64] (1, 1, 128, 64)
_____________________________________________________________________________
dw_sepconv_t_3 (DepthwiseConv2DTranspose) [64, 64, 64] (3, 3, 64, 1)
_____________________________________________________________________________
pw_sepconv_t_3 (Conv2D) [64, 64, 32] (1, 1, 64, 32)
_____________________________________________________________________________
dw_sepconv_t_4 (DepthwiseConv2DTranspose) [128, 128, 32] (3, 3, 32, 1)
_____________________________________________________________________________
pw_sepconv_t_4 (Conv2D) [128, 128, 16] (1, 1, 32, 16)
_____________________________________________________________________________
head (Conv2D) [128, 128, 1] (1, 1, 16, 1)
_____________________________________________________________________________
head/dequantizer (Dequantizer) [128, 128, 1] N/A
_____________________________________________________________________________
import tensorflow as tf
# Check Akida model performance
labels, pots = None, None
for s in range(steps):
batch = x_val[s * batch_size: (s + 1) * batch_size, :]
label_batch = y_val[s * batch_size: (s + 1) * batch_size, :]
pots_batch = model_akida.predict(batch.astype('uint8'))
if labels is None:
labels = label_batch
pots = pots_batch
else:
labels = np.concatenate((labels, label_batch))
pots = np.concatenate((pots, pots_batch))
preds = tf.keras.activations.sigmoid(pots)
m_binary_iou = tf.keras.metrics.BinaryIoU(target_class_ids=[0, 1], threshold=0.5)
m_binary_iou.update_state(labels, preds)
binary_iou = m_binary_iou.result().numpy()
m_accuracy = tf.keras.metrics.Accuracy()
m_accuracy.update_state(labels, preds > 0.5)
accuracy = m_accuracy.result().numpy()
print(f"Akida binary IoU / pixel accuracy: {binary_iou:.4f} / {100*accuracy:.2f}%")
# For non-regression purpose
assert binary_iou > 0.9
Akida binary IoU / pixel accuracy: 0.9308 / 96.59%
5. Segment a single image
For visualization of the person segmentation performed by the Akida model, display a single image along with the segmentation produced by the original floating point model and the ground truth segmentation.
import matplotlib.pyplot as plt
# Estimate age on a random single image and display Keras and Akida outputs
sample = np.expand_dims(x_val[id, :], 0)
keras_out = model_keras(sample)
akida_out = tf.keras.activations.sigmoid(model_akida.forward(sample.astype('uint8')))
fig, axs = plt.subplots(1, 3, constrained_layout=True)
axs[0].imshow(keras_out[0] * sample[0] / 255.)
axs[0].set_title('Keras segmentation', fontsize=10)
axs[0].axis('off')
axs[1].imshow(akida_out[0] * sample[0] / 255.)
axs[1].set_title('Akida segmentation', fontsize=10)
axs[1].axis('off')
axs[2].imshow(y_val[id] * sample[0] / 255.)
axs[2].set_title('Expected segmentation', fontsize=10)
axs[2].axis('off')
plt.show()
Total running time of the script: (1 minutes 59.661 seconds)