bartekkuncer commented on a change in pull request #20856:
URL: https://github.com/apache/incubator-mxnet/pull/20856#discussion_r804488858



##########
File path: 
docs/python_docs/python/tutorials/performance/backend/dnnl/dnnl_quantization.md
##########
@@ -0,0 +1,304 @@
+<!--- Licensed to the Apache Software Foundation (ASF) under one -->
+<!--- or more contributor license agreements.  See the NOTICE file -->
+<!--- distributed with this work for additional information -->
+<!--- regarding copyright ownership.  The ASF licenses this file -->
+<!--- to you under the Apache License, Version 2.0 (the -->
+<!--- "License"); you may not use this file except in compliance -->
+<!--- with the License.  You may obtain a copy of the License at -->
+
+<!---   http://www.apache.org/licenses/LICENSE-2.0 -->
+
+<!--- Unless required by applicable law or agreed to in writing, -->
+<!--- software distributed under the License is distributed on an -->
+<!--- "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY -->
+<!--- KIND, either express or implied.  See the License for the -->
+<!--- specific language governing permissions and limitations -->
+<!--- under the License. -->
+
+## Introduction
+
+After successful model building and achieving desired accuracy on the test 
data, often the next step is to optimize inference to deploy the model to 
production. One of the key features of usable model is to have as small latency 
as possible to be able to provide services to large number of customers 
simultaneously. In addition to customer satisfaction, with well optimized 
model, hardware load is reduced which also reduces energy costs needed to 
perform inference.
+
+Two main types of software optimizations can be characerized as:

Review comment:
       ```suggestion
   Two main types of software optimizations can be characterized as:
   ```

##########
File path: 
docs/python_docs/python/tutorials/performance/backend/dnnl/dnnl_quantization.md
##########
@@ -0,0 +1,304 @@
+<!--- Licensed to the Apache Software Foundation (ASF) under one -->
+<!--- or more contributor license agreements.  See the NOTICE file -->
+<!--- distributed with this work for additional information -->
+<!--- regarding copyright ownership.  The ASF licenses this file -->
+<!--- to you under the Apache License, Version 2.0 (the -->
+<!--- "License"); you may not use this file except in compliance -->
+<!--- with the License.  You may obtain a copy of the License at -->
+
+<!---   http://www.apache.org/licenses/LICENSE-2.0 -->
+
+<!--- Unless required by applicable law or agreed to in writing, -->
+<!--- software distributed under the License is distributed on an -->
+<!--- "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY -->
+<!--- KIND, either express or implied.  See the License for the -->
+<!--- specific language governing permissions and limitations -->
+<!--- under the License. -->
+
+## Introduction
+
+After successful model building and achieving desired accuracy on the test 
data, often the next step is to optimize inference to deploy the model to 
production. One of the key features of usable model is to have as small latency 
as possible to be able to provide services to large number of customers 
simultaneously. In addition to customer satisfaction, with well optimized 
model, hardware load is reduced which also reduces energy costs needed to 
perform inference.
+
+Two main types of software optimizations can be characerized as:
+- memory-bound optimizations - main objective of these optimizations is to 
reduce the amount of memory operations (reads and writes) - it is done by e.g. 
chaining operations which can be performed one after another immediately, where 
input of every subsequent operation is the output of the previous one (example: 
ReLU activation after convolution),
+- compute-bound optimizations - these optimizations are mainly made on 
operations which require large number of CPU cycles to complete, like 
FullyConnected and Convolution. One of the methods to speedup compute-bound 
operations is to lower computation precision - this type of optimization is 
called quantization.
+
+In version 2.0 of the Apache MXNet (incubating) GluonAPI2.0 replaced Symbolic 
API known from versions 1.x, thus there are some differences between API to 
perform graph fusion and quantization.
+
+## Operator Fusion
+
+Models are often represented as a directed graph of operations (represented by 
nodes) and data flow (represented as edges). This way of visualizing helps a 
lot when searching for common patterns in whole model which can be optimized by 
fusion. Example:
+![base_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/sample_net.png?raw=true)
+
+
+The simplest way to explain what fusion is and how it works is to present an 
example. Image above depicts a sequence of popular operations taken from ResNet 
architecture. This type of architecture is built with many similar blocks 
called residual blocks. Some possible fusion patterns are:
+
+- Conv2D + BatchNorm => Fusing BatchNorm with Convolution can be performed by 
modifing weights and bias of Convolution - this way BatchNorm is completely 
contained within Convolution which makes BatchNorm zero time operation. Only 
cost of fusing is time needed to prepare weights and bias in Convolution based 
on BatchNorm parameters.
+- Conv2D + ReLU => this type of fusion is very popular also with other layers 
(e.g. FullyConnected + Activation). It is very simple idea where before writing 
data to output, activation is performed on that data. Main benefit of this 
fusion is that, there is no need to read and write back data in other layer 
only to perform simple activation function. 
+- Conv2D + Add => even simpler idea than the previous ones - instead of 
overwriting output memory, results are added to the output memory. In the 
simplest terms: `out_mem = conv_result` is replaced by `out_mem += conv_result`.

Review comment:
       ```suggestion
   - Conv2D + Add => even simpler idea than the previous ones - instead of 
overwriting the output memory, results are added to it. In the simplest terms: 
`out_mem = conv_result` is replaced by `out_mem += conv_result`.
   ```

##########
File path: 
docs/python_docs/python/tutorials/performance/backend/dnnl/dnnl_quantization.md
##########
@@ -0,0 +1,304 @@
+<!--- Licensed to the Apache Software Foundation (ASF) under one -->
+<!--- or more contributor license agreements.  See the NOTICE file -->
+<!--- distributed with this work for additional information -->
+<!--- regarding copyright ownership.  The ASF licenses this file -->
+<!--- to you under the Apache License, Version 2.0 (the -->
+<!--- "License"); you may not use this file except in compliance -->
+<!--- with the License.  You may obtain a copy of the License at -->
+
+<!---   http://www.apache.org/licenses/LICENSE-2.0 -->
+
+<!--- Unless required by applicable law or agreed to in writing, -->
+<!--- software distributed under the License is distributed on an -->
+<!--- "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY -->
+<!--- KIND, either express or implied.  See the License for the -->
+<!--- specific language governing permissions and limitations -->
+<!--- under the License. -->
+
+## Introduction
+
+After successful model building and achieving desired accuracy on the test 
data, often the next step is to optimize inference to deploy the model to 
production. One of the key features of usable model is to have as small latency 
as possible to be able to provide services to large number of customers 
simultaneously. In addition to customer satisfaction, with well optimized 
model, hardware load is reduced which also reduces energy costs needed to 
perform inference.
+
+Two main types of software optimizations can be characerized as:
+- memory-bound optimizations - main objective of these optimizations is to 
reduce the amount of memory operations (reads and writes) - it is done by e.g. 
chaining operations which can be performed one after another immediately, where 
input of every subsequent operation is the output of the previous one (example: 
ReLU activation after convolution),
+- compute-bound optimizations - these optimizations are mainly made on 
operations which require large number of CPU cycles to complete, like 
FullyConnected and Convolution. One of the methods to speedup compute-bound 
operations is to lower computation precision - this type of optimization is 
called quantization.
+
+In version 2.0 of the Apache MXNet (incubating) GluonAPI2.0 replaced Symbolic 
API known from versions 1.x, thus there are some differences between API to 
perform graph fusion and quantization.
+
+## Operator Fusion
+
+Models are often represented as a directed graph of operations (represented by 
nodes) and data flow (represented as edges). This way of visualizing helps a 
lot when searching for common patterns in whole model which can be optimized by 
fusion. Example:
+![base_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/sample_net.png?raw=true)
+
+
+The simplest way to explain what fusion is and how it works is to present an 
example. Image above depicts a sequence of popular operations taken from ResNet 
architecture. This type of architecture is built with many similar blocks 
called residual blocks. Some possible fusion patterns are:
+
+- Conv2D + BatchNorm => Fusing BatchNorm with Convolution can be performed by 
modifing weights and bias of Convolution - this way BatchNorm is completely 
contained within Convolution which makes BatchNorm zero time operation. Only 
cost of fusing is time needed to prepare weights and bias in Convolution based 
on BatchNorm parameters.
+- Conv2D + ReLU => this type of fusion is very popular also with other layers 
(e.g. FullyConnected + Activation). It is very simple idea where before writing 
data to output, activation is performed on that data. Main benefit of this 
fusion is that, there is no need to read and write back data in other layer 
only to perform simple activation function. 
+- Conv2D + Add => even simpler idea than the previous ones - instead of 
overwriting output memory, results are added to the output memory. In the 
simplest terms: `out_mem = conv_result` is replaced by `out_mem += conv_result`.
+
+Above examples are presented as atomic ones, but often they can be combined 
together, thus two patterns that can be fused in above example are:
+- Conv2D + BatchNorm + ReLU
+- Conv2D + BatchNorm + Add + ReLU
+
+After fusing all patterns, computational graph will be changed to the 
following one:
+![fused_fp32_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/fused_f32.png?raw=true)
+
+
+
+### Operator fusion in MXNet
+Since the version 1.6 of MXNet built with oneDNN support, operator fusion had 
been enabled by default for executing model with Module API, however in version 
2.0 it has been decided to remove setting this feature by environment flag and 
replace it by aware user API call.
+
+To fuse model in MXNet 2.0 there are two requirements:
+- the model must be defined as a subclass of HybridBlock or Symbol,
+- the model must have specific operator patterns which can be fused.
+
+As an example we define example network (sample block from ResNet 
architecture):
+
+```
+import mxnet as mx
+from mxnet.gluon import nn
+
+class SampleBlock(nn.HybridBlock):
+    def __init__(self):
+        super(SampleBlock, self).__init__()
+        self.conv1 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn1 = nn.BatchNorm()
+        self.conv2 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn2 = nn.BatchNorm()
+
+    def forward(self, x):
+        out = mx.npx.activation(self.bn1(self.conv1(x)), 'relu')
+        out = self.bn2(self.conv2(out))
+        out = mx.npx.activation(out + x, 'relu')
+        return out
+        
+net = SampleBlock()
+net.initialize()
+
+data = mx.np.zeros(shape=(1,64,224,224))
+# run fusion
+net.optimize_for(data, backend='ONEDNN')
+
+# We can check fusion by plotting current symbol of our optimized network
+sym, _ = net.export(None)
+graph = mx.viz.plot_network(sym, save_format='jpg')
+graph.view()
+```
+Both HybridBlock and Symbol classes provide API to easily run fusion of 
operators. Single line of code is enabling fusion passes on model:
+```
+net.optimize_for(data, backend='ONEDNN')
+```
+
+*optimize_for* function is available also as Symbol class method. Example call 
to this API is shown below. Notice that Symbol’s *optimize_for* method is not 
done in-place, so assigning it to a new variable is required:
+
+```
+optimized_symbol = sym.optimize_for(backend='ONEDNN')
+```
+
+For the above model definition in a naive benchmark with artificial data, we 
can gain up to 1.75x speedup without any accuracy loss on our testing machine 
with Intel(R) Core(TM) i9-9940X.
+
+
+## Quantization
+As mentioned in the introduction, precision reduction is another very popular 
method of improving performance of workloads and, what is important, in most 
cases is combined together with operator fusion which improves performance even 
more. In training precision reduction utilizes 16 bit data types like bfloat or 
float16, but for inference great results can be achieved using int8. 
+
+Model quantization helps on both memory-bound and compute-bound operations. In 
quantized model IO operations are reduced as int8 data type is 4x smaller than 
float32, and also computational throughput is increased as more data can be 
SIMD'ed. On modern Intel architectures using int8 data type can bring even more 
speedup by utilizing special VNNI instruction set. 
+
+![before_quant](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/before_quant.png?raw=true)
+
+Firstly quantization performs operator fusion on floating-point model as 
mentioned in paragraph earlier. Next, all operators which support int8 data 
type are marked as quantized and if needed additional operators are injected 
into graph surrounding quantizable operator - the goal of this additional 
operators is to quantize, dequantize or requantize data to keep data type 
between operators compatible.
+ 
+![quant_not_calib](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_not_calib.png?raw=true)
+
+
+After injection step it is important to perform calibration of the model, 
however this step is optional. Quantizing without calibration is not 
recommended in terms of performance. It will result in calculating data minimum 
and maximum in quantize and requantize nodes during each inference pass. 
Calibrating a model greatly improves performance as minimum and maximum values 
are collected offline and are saved inside node - this way there is no need to 
search for these values during inference pass. 
+
+![quant_calib](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_calib.png?raw=true)
+
+
+Currently, there are three supported calibration methods:
+- naive — min/max values from the calibration run,
+- entropy — uses KL divergence to determine the best symmetrical quantization 
thresholds for a given histogram of values,
+- custom — uses user-defined CalibrationCollector to control the calibration 
process.
+
+Last stage of quantization flow is to perform additional operator fusion. 
Second fusion is about merging requantize and dequantize operators into 
preceding node - oneDNN kernels can perform needed scaling before writing 
result to output which results in model execution speed-up. Notice that last 
Convolution does not need minimum and maximum values as it is not requantizing 
int32 to int8, but dequantizing directly to float32 and scale is calculated 
basing on minimum and maximum of input and weights.
+
+![quant_calib_fused](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_calib_fused.png?raw=true)
+
+In MXNet 2.0, the quantization procedure has been adjusted to work well with 
Gluon models since it is the main API now. The goal was to allow the user to 
quantize fp32 HybridBlock model in just a few lines of code.
+
+### Quantization in MXNet
+
+As an example of a quantization procedure, pretrained *resnet50_v1* from 
*model_zoo.vision* package can be used. To get it simply run the following code:
+
+```
+import mxnet as mx
+from mxnet.gluon.model_zoo.vision import resnet50_v1
+
+net = resnet50_v1(pretrained=True)
+```
+
+Now, to get a ready-to-deploy quantized model two steps are required:
+1. Prepare data loader with calibration data - this data will be used as input 
to the network. All necessary layers will be observed with layer collector to 
calculate minimum and maximum value of that layer. This flow is internal 
mechanism and all what user needs to do is to provide data loader.
+2. Call `quantize_net` function from `contrib.quantize` package - both 
operator fusion calls will be called inside this API.
+
+```
+calib_data_loader = mx.gluon.data.DataLoader(dummy_data, batch_size=batch_size)
+qnet = quantize_net(net, calib_mode='naive', calib_data=calib_data_loader)
+```
+
+Following function, which calculates total inference time on the model with an 
artificial data, can be used to compare the performance:
+
+```
+def benchmark_net(net, batch_size=32, batches=100, warmup_batches=5):
+  import time
+  data = mx.np.random.uniform(-1.0, 1.0, (batch_size, 3, 224, 224))
+  
+  for i in range(batches + warmup_batches):
+    if i == warmup_batches:
+      tic = time.time()
+    out = net(data)
+    out.wait_to_read()
+    
+  total_time = time.time() - tic
+  return total_time
+```
+
+
+Comparing fused float32 network to quantized network on CLX8280 shows 4.29x 
speedup - measurment was done on 28 cores and this machine utilizes VNNI 
instruction set.
+
+
+The other aspect of lowering the precision of a model is a difference in its 
accuracy. We will check that on previously tested resnet50_v1 with ImageNet 
dataset. To run this example you will need ImageNet dataset prepared with this 
tutorial and stored in path_to_imagenet. Let’s compare top1 and top5 accuracy 
of standard fp32 model with quantized int8 model calibrated using naive and 
entropy calibration mode. We will use only 10 batches of the validation dataset 
to calibrate quantized model.
+
+```
+import mxnet as mx
+from mxnet.gluon.model_zoo.vision import resnet50_v1
+from mxnet.gluon.data.vision import transforms
+from mxnet.contrib.quantization import quantize_net
+
+def test_accuracy(net, data_loader):
+  acc_top1 = mx.gluon.metric.Accuracy()
+  acc_top5 = mx.gluon.metric.TopKAccuracy(5)
+  
+  for x, label in data_loader:
+    output = net(x)
+    acc_top1.update(label, output)
+    acc_top5.update(label, output)
+
+  _, top1 = acc_top1.get()
+  _, top5 = acc_top5.get()
+
+  return top1, top5
+  
+rgb_mean = (0.485, 0.456, 0.406)
+rgb_std = (0.229, 0.224, 0.225)
+batch_size = 64
+ 
+dataset = mx.gluon.data.vision.ImageRecordDataset('path_to_imagenet/val.rec')
+transformer = transforms.Compose([transforms.Resize(256),
+                                  transforms.CenterCrop(224),
+                                  transforms.ToTensor(),
+                                  transforms.Normalize(mean=rgb_mean, 
std=rgb_std)])
+val_data = mx.gluon.data.DataLoader(dataset.transform_first(transformer), 
batch_size, shuffle=True)
+
+net = resnet50_v1(pretrained=True)
+net.hybridize(backend='ONEDNN', static_alloc=True, static_shape=True)
+
+top1, top5 = test_accuracy(net, val_data)
+print('FP32 Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+
+qnet = quantize_net(net, calib_mode='naive', calib_data=val_data, 
num_calib_batches=10)
+qnet.hybridize(static_alloc=True, static_shape=True)
+top1, top5 = test_accuracy(qnet, val_data)
+print('INT8Naive Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+
+qnet = quantize_net(net, calib_mode='entropy', calib_data=val_data, 
num_calib_batches=10)
+qnet.hybridize(static_alloc=True, static_shape=True)
+top1, top5 = test_accuracy(qnet, val_data)
+print('INT8Entropy Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+```
+
+#### Output:
+> FP32 Top1 Accuracy: 0.76364 Top5 Accuracy: 0.93094
+> INT8Naive Top1 Accuracy: 0.76028 Top5 Accuracy: 0.92796
+> INT8Entropy Top1 Accuracy: 0.76404 Top5 Accuracy: 0.93042
+
+With quantized model there is tiny accuracy drop, however this is the cost of 
great performance optimization and memory footprint reduction. The difference 
between calibration methods is dependent on the model itself, used activation 
layers and the size of calibration data.

Review comment:
       ```suggestion
   With quantized model there is a tiny accuracy drop, however this is the cost 
of great performance optimization and memory footprint reduction. The 
difference between calibration methods is dependent on the model itself, used 
activation layers and the size of calibration data.
   ```

##########
File path: 
docs/python_docs/python/tutorials/performance/backend/dnnl/dnnl_quantization.md
##########
@@ -0,0 +1,304 @@
+<!--- Licensed to the Apache Software Foundation (ASF) under one -->
+<!--- or more contributor license agreements.  See the NOTICE file -->
+<!--- distributed with this work for additional information -->
+<!--- regarding copyright ownership.  The ASF licenses this file -->
+<!--- to you under the Apache License, Version 2.0 (the -->
+<!--- "License"); you may not use this file except in compliance -->
+<!--- with the License.  You may obtain a copy of the License at -->
+
+<!---   http://www.apache.org/licenses/LICENSE-2.0 -->
+
+<!--- Unless required by applicable law or agreed to in writing, -->
+<!--- software distributed under the License is distributed on an -->
+<!--- "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY -->
+<!--- KIND, either express or implied.  See the License for the -->
+<!--- specific language governing permissions and limitations -->
+<!--- under the License. -->
+
+## Introduction
+
+After successful model building and achieving desired accuracy on the test 
data, often the next step is to optimize inference to deploy the model to 
production. One of the key features of usable model is to have as small latency 
as possible to be able to provide services to large number of customers 
simultaneously. In addition to customer satisfaction, with well optimized 
model, hardware load is reduced which also reduces energy costs needed to 
perform inference.
+
+Two main types of software optimizations can be characerized as:
+- memory-bound optimizations - main objective of these optimizations is to 
reduce the amount of memory operations (reads and writes) - it is done by e.g. 
chaining operations which can be performed one after another immediately, where 
input of every subsequent operation is the output of the previous one (example: 
ReLU activation after convolution),
+- compute-bound optimizations - these optimizations are mainly made on 
operations which require large number of CPU cycles to complete, like 
FullyConnected and Convolution. One of the methods to speedup compute-bound 
operations is to lower computation precision - this type of optimization is 
called quantization.
+
+In version 2.0 of the Apache MXNet (incubating) GluonAPI2.0 replaced Symbolic 
API known from versions 1.x, thus there are some differences between API to 
perform graph fusion and quantization.
+
+## Operator Fusion
+
+Models are often represented as a directed graph of operations (represented by 
nodes) and data flow (represented as edges). This way of visualizing helps a 
lot when searching for common patterns in whole model which can be optimized by 
fusion. Example:
+![base_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/sample_net.png?raw=true)
+
+
+The simplest way to explain what fusion is and how it works is to present an 
example. Image above depicts a sequence of popular operations taken from ResNet 
architecture. This type of architecture is built with many similar blocks 
called residual blocks. Some possible fusion patterns are:
+
+- Conv2D + BatchNorm => Fusing BatchNorm with Convolution can be performed by 
modifing weights and bias of Convolution - this way BatchNorm is completely 
contained within Convolution which makes BatchNorm zero time operation. Only 
cost of fusing is time needed to prepare weights and bias in Convolution based 
on BatchNorm parameters.
+- Conv2D + ReLU => this type of fusion is very popular also with other layers 
(e.g. FullyConnected + Activation). It is very simple idea where before writing 
data to output, activation is performed on that data. Main benefit of this 
fusion is that, there is no need to read and write back data in other layer 
only to perform simple activation function. 
+- Conv2D + Add => even simpler idea than the previous ones - instead of 
overwriting output memory, results are added to the output memory. In the 
simplest terms: `out_mem = conv_result` is replaced by `out_mem += conv_result`.
+
+Above examples are presented as atomic ones, but often they can be combined 
together, thus two patterns that can be fused in above example are:
+- Conv2D + BatchNorm + ReLU
+- Conv2D + BatchNorm + Add + ReLU
+
+After fusing all patterns, computational graph will be changed to the 
following one:
+![fused_fp32_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/fused_f32.png?raw=true)
+
+
+
+### Operator fusion in MXNet
+Since the version 1.6 of MXNet built with oneDNN support, operator fusion had 
been enabled by default for executing model with Module API, however in version 
2.0 it has been decided to remove setting this feature by environment flag and 
replace it by aware user API call.
+
+To fuse model in MXNet 2.0 there are two requirements:
+- the model must be defined as a subclass of HybridBlock or Symbol,
+- the model must have specific operator patterns which can be fused.
+
+As an example we define example network (sample block from ResNet 
architecture):
+
+```
+import mxnet as mx
+from mxnet.gluon import nn
+
+class SampleBlock(nn.HybridBlock):
+    def __init__(self):
+        super(SampleBlock, self).__init__()
+        self.conv1 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn1 = nn.BatchNorm()
+        self.conv2 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn2 = nn.BatchNorm()
+
+    def forward(self, x):
+        out = mx.npx.activation(self.bn1(self.conv1(x)), 'relu')
+        out = self.bn2(self.conv2(out))
+        out = mx.npx.activation(out + x, 'relu')
+        return out
+        
+net = SampleBlock()
+net.initialize()
+
+data = mx.np.zeros(shape=(1,64,224,224))
+# run fusion
+net.optimize_for(data, backend='ONEDNN')
+
+# We can check fusion by plotting current symbol of our optimized network
+sym, _ = net.export(None)
+graph = mx.viz.plot_network(sym, save_format='jpg')
+graph.view()
+```
+Both HybridBlock and Symbol classes provide API to easily run fusion of 
operators. Single line of code is enabling fusion passes on model:
+```
+net.optimize_for(data, backend='ONEDNN')
+```
+
+*optimize_for* function is available also as Symbol class method. Example call 
to this API is shown below. Notice that Symbol’s *optimize_for* method is not 
done in-place, so assigning it to a new variable is required:
+
+```
+optimized_symbol = sym.optimize_for(backend='ONEDNN')
+```
+
+For the above model definition in a naive benchmark with artificial data, we 
can gain up to 1.75x speedup without any accuracy loss on our testing machine 
with Intel(R) Core(TM) i9-9940X.
+
+
+## Quantization

Review comment:
       Inconsistent new line after ## and ### - seems to be not too important 
as in HackMD preview it does look identical with or without it.

##########
File path: 
docs/python_docs/python/tutorials/performance/backend/dnnl/dnnl_quantization.md
##########
@@ -0,0 +1,304 @@
+<!--- Licensed to the Apache Software Foundation (ASF) under one -->
+<!--- or more contributor license agreements.  See the NOTICE file -->
+<!--- distributed with this work for additional information -->
+<!--- regarding copyright ownership.  The ASF licenses this file -->
+<!--- to you under the Apache License, Version 2.0 (the -->
+<!--- "License"); you may not use this file except in compliance -->
+<!--- with the License.  You may obtain a copy of the License at -->
+
+<!---   http://www.apache.org/licenses/LICENSE-2.0 -->
+
+<!--- Unless required by applicable law or agreed to in writing, -->
+<!--- software distributed under the License is distributed on an -->
+<!--- "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY -->
+<!--- KIND, either express or implied.  See the License for the -->
+<!--- specific language governing permissions and limitations -->
+<!--- under the License. -->
+
+## Introduction
+
+After successful model building and achieving desired accuracy on the test 
data, often the next step is to optimize inference to deploy the model to 
production. One of the key features of usable model is to have as small latency 
as possible to be able to provide services to large number of customers 
simultaneously. In addition to customer satisfaction, with well optimized 
model, hardware load is reduced which also reduces energy costs needed to 
perform inference.
+
+Two main types of software optimizations can be characerized as:
+- memory-bound optimizations - main objective of these optimizations is to 
reduce the amount of memory operations (reads and writes) - it is done by e.g. 
chaining operations which can be performed one after another immediately, where 
input of every subsequent operation is the output of the previous one (example: 
ReLU activation after convolution),
+- compute-bound optimizations - these optimizations are mainly made on 
operations which require large number of CPU cycles to complete, like 
FullyConnected and Convolution. One of the methods to speedup compute-bound 
operations is to lower computation precision - this type of optimization is 
called quantization.
+
+In version 2.0 of the Apache MXNet (incubating) GluonAPI2.0 replaced Symbolic 
API known from versions 1.x, thus there are some differences between API to 
perform graph fusion and quantization.
+
+## Operator Fusion
+
+Models are often represented as a directed graph of operations (represented by 
nodes) and data flow (represented as edges). This way of visualizing helps a 
lot when searching for common patterns in whole model which can be optimized by 
fusion. Example:
+![base_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/sample_net.png?raw=true)
+
+
+The simplest way to explain what fusion is and how it works is to present an 
example. Image above depicts a sequence of popular operations taken from ResNet 
architecture. This type of architecture is built with many similar blocks 
called residual blocks. Some possible fusion patterns are:
+
+- Conv2D + BatchNorm => Fusing BatchNorm with Convolution can be performed by 
modifing weights and bias of Convolution - this way BatchNorm is completely 
contained within Convolution which makes BatchNorm zero time operation. Only 
cost of fusing is time needed to prepare weights and bias in Convolution based 
on BatchNorm parameters.
+- Conv2D + ReLU => this type of fusion is very popular also with other layers 
(e.g. FullyConnected + Activation). It is very simple idea where before writing 
data to output, activation is performed on that data. Main benefit of this 
fusion is that, there is no need to read and write back data in other layer 
only to perform simple activation function. 
+- Conv2D + Add => even simpler idea than the previous ones - instead of 
overwriting output memory, results are added to the output memory. In the 
simplest terms: `out_mem = conv_result` is replaced by `out_mem += conv_result`.
+
+Above examples are presented as atomic ones, but often they can be combined 
together, thus two patterns that can be fused in above example are:
+- Conv2D + BatchNorm + ReLU
+- Conv2D + BatchNorm + Add + ReLU
+
+After fusing all patterns, computational graph will be changed to the 
following one:
+![fused_fp32_model](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/fused_f32.png?raw=true)
+
+
+
+### Operator fusion in MXNet
+Since the version 1.6 of MXNet built with oneDNN support, operator fusion had 
been enabled by default for executing model with Module API, however in version 
2.0 it has been decided to remove setting this feature by environment flag and 
replace it by aware user API call.
+
+To fuse model in MXNet 2.0 there are two requirements:
+- the model must be defined as a subclass of HybridBlock or Symbol,
+- the model must have specific operator patterns which can be fused.
+
+As an example we define example network (sample block from ResNet 
architecture):
+
+```
+import mxnet as mx
+from mxnet.gluon import nn
+
+class SampleBlock(nn.HybridBlock):
+    def __init__(self):
+        super(SampleBlock, self).__init__()
+        self.conv1 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn1 = nn.BatchNorm()
+        self.conv2 = nn.Conv2D(channels=64, kernel_size=3, strides=1, 
padding=1,
+                               use_bias=False, in_channels=64)
+        self.bn2 = nn.BatchNorm()
+
+    def forward(self, x):
+        out = mx.npx.activation(self.bn1(self.conv1(x)), 'relu')
+        out = self.bn2(self.conv2(out))
+        out = mx.npx.activation(out + x, 'relu')
+        return out
+        
+net = SampleBlock()
+net.initialize()
+
+data = mx.np.zeros(shape=(1,64,224,224))
+# run fusion
+net.optimize_for(data, backend='ONEDNN')
+
+# We can check fusion by plotting current symbol of our optimized network
+sym, _ = net.export(None)
+graph = mx.viz.plot_network(sym, save_format='jpg')
+graph.view()
+```
+Both HybridBlock and Symbol classes provide API to easily run fusion of 
operators. Single line of code is enabling fusion passes on model:
+```
+net.optimize_for(data, backend='ONEDNN')
+```
+
+*optimize_for* function is available also as Symbol class method. Example call 
to this API is shown below. Notice that Symbol’s *optimize_for* method is not 
done in-place, so assigning it to a new variable is required:
+
+```
+optimized_symbol = sym.optimize_for(backend='ONEDNN')
+```
+
+For the above model definition in a naive benchmark with artificial data, we 
can gain up to 1.75x speedup without any accuracy loss on our testing machine 
with Intel(R) Core(TM) i9-9940X.
+
+
+## Quantization
+As mentioned in the introduction, precision reduction is another very popular 
method of improving performance of workloads and, what is important, in most 
cases is combined together with operator fusion which improves performance even 
more. In training precision reduction utilizes 16 bit data types like bfloat or 
float16, but for inference great results can be achieved using int8. 
+
+Model quantization helps on both memory-bound and compute-bound operations. In 
quantized model IO operations are reduced as int8 data type is 4x smaller than 
float32, and also computational throughput is increased as more data can be 
SIMD'ed. On modern Intel architectures using int8 data type can bring even more 
speedup by utilizing special VNNI instruction set. 
+
+![before_quant](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/before_quant.png?raw=true)
+
+Firstly quantization performs operator fusion on floating-point model as 
mentioned in paragraph earlier. Next, all operators which support int8 data 
type are marked as quantized and if needed additional operators are injected 
into graph surrounding quantizable operator - the goal of this additional 
operators is to quantize, dequantize or requantize data to keep data type 
between operators compatible.
+ 
+![quant_not_calib](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_not_calib.png?raw=true)
+
+
+After injection step it is important to perform calibration of the model, 
however this step is optional. Quantizing without calibration is not 
recommended in terms of performance. It will result in calculating data minimum 
and maximum in quantize and requantize nodes during each inference pass. 
Calibrating a model greatly improves performance as minimum and maximum values 
are collected offline and are saved inside node - this way there is no need to 
search for these values during inference pass. 
+
+![quant_calib](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_calib.png?raw=true)
+
+
+Currently, there are three supported calibration methods:
+- naive — min/max values from the calibration run,
+- entropy — uses KL divergence to determine the best symmetrical quantization 
thresholds for a given histogram of values,
+- custom — uses user-defined CalibrationCollector to control the calibration 
process.
+
+Last stage of quantization flow is to perform additional operator fusion. 
Second fusion is about merging requantize and dequantize operators into 
preceding node - oneDNN kernels can perform needed scaling before writing 
result to output which results in model execution speed-up. Notice that last 
Convolution does not need minimum and maximum values as it is not requantizing 
int32 to int8, but dequantizing directly to float32 and scale is calculated 
basing on minimum and maximum of input and weights.
+
+![quant_calib_fused](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/quant_calib_fused.png?raw=true)
+
+In MXNet 2.0, the quantization procedure has been adjusted to work well with 
Gluon models since it is the main API now. The goal was to allow the user to 
quantize fp32 HybridBlock model in just a few lines of code.
+
+### Quantization in MXNet
+
+As an example of a quantization procedure, pretrained *resnet50_v1* from 
*model_zoo.vision* package can be used. To get it simply run the following code:
+
+```
+import mxnet as mx
+from mxnet.gluon.model_zoo.vision import resnet50_v1
+
+net = resnet50_v1(pretrained=True)
+```
+
+Now, to get a ready-to-deploy quantized model two steps are required:
+1. Prepare data loader with calibration data - this data will be used as input 
to the network. All necessary layers will be observed with layer collector to 
calculate minimum and maximum value of that layer. This flow is internal 
mechanism and all what user needs to do is to provide data loader.
+2. Call `quantize_net` function from `contrib.quantize` package - both 
operator fusion calls will be called inside this API.
+
+```
+calib_data_loader = mx.gluon.data.DataLoader(dummy_data, batch_size=batch_size)
+qnet = quantize_net(net, calib_mode='naive', calib_data=calib_data_loader)
+```
+
+Following function, which calculates total inference time on the model with an 
artificial data, can be used to compare the performance:
+
+```
+def benchmark_net(net, batch_size=32, batches=100, warmup_batches=5):
+  import time
+  data = mx.np.random.uniform(-1.0, 1.0, (batch_size, 3, 224, 224))
+  
+  for i in range(batches + warmup_batches):
+    if i == warmup_batches:
+      tic = time.time()
+    out = net(data)
+    out.wait_to_read()
+    
+  total_time = time.time() - tic
+  return total_time
+```
+
+
+Comparing fused float32 network to quantized network on CLX8280 shows 4.29x 
speedup - measurment was done on 28 cores and this machine utilizes VNNI 
instruction set.
+
+
+The other aspect of lowering the precision of a model is a difference in its 
accuracy. We will check that on previously tested resnet50_v1 with ImageNet 
dataset. To run this example you will need ImageNet dataset prepared with this 
tutorial and stored in path_to_imagenet. Let’s compare top1 and top5 accuracy 
of standard fp32 model with quantized int8 model calibrated using naive and 
entropy calibration mode. We will use only 10 batches of the validation dataset 
to calibrate quantized model.
+
+```
+import mxnet as mx
+from mxnet.gluon.model_zoo.vision import resnet50_v1
+from mxnet.gluon.data.vision import transforms
+from mxnet.contrib.quantization import quantize_net
+
+def test_accuracy(net, data_loader):
+  acc_top1 = mx.gluon.metric.Accuracy()
+  acc_top5 = mx.gluon.metric.TopKAccuracy(5)
+  
+  for x, label in data_loader:
+    output = net(x)
+    acc_top1.update(label, output)
+    acc_top5.update(label, output)
+
+  _, top1 = acc_top1.get()
+  _, top5 = acc_top5.get()
+
+  return top1, top5
+  
+rgb_mean = (0.485, 0.456, 0.406)
+rgb_std = (0.229, 0.224, 0.225)
+batch_size = 64
+ 
+dataset = mx.gluon.data.vision.ImageRecordDataset('path_to_imagenet/val.rec')
+transformer = transforms.Compose([transforms.Resize(256),
+                                  transforms.CenterCrop(224),
+                                  transforms.ToTensor(),
+                                  transforms.Normalize(mean=rgb_mean, 
std=rgb_std)])
+val_data = mx.gluon.data.DataLoader(dataset.transform_first(transformer), 
batch_size, shuffle=True)
+
+net = resnet50_v1(pretrained=True)
+net.hybridize(backend='ONEDNN', static_alloc=True, static_shape=True)
+
+top1, top5 = test_accuracy(net, val_data)
+print('FP32 Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+
+qnet = quantize_net(net, calib_mode='naive', calib_data=val_data, 
num_calib_batches=10)
+qnet.hybridize(static_alloc=True, static_shape=True)
+top1, top5 = test_accuracy(qnet, val_data)
+print('INT8Naive Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+
+qnet = quantize_net(net, calib_mode='entropy', calib_data=val_data, 
num_calib_batches=10)
+qnet.hybridize(static_alloc=True, static_shape=True)
+top1, top5 = test_accuracy(qnet, val_data)
+print('INT8Entropy Top1 Accuracy: {} Top5 Accuracy: {}'.format(top1, top5))
+```
+
+#### Output:
+> FP32 Top1 Accuracy: 0.76364 Top5 Accuracy: 0.93094
+> INT8Naive Top1 Accuracy: 0.76028 Top5 Accuracy: 0.92796
+> INT8Entropy Top1 Accuracy: 0.76404 Top5 Accuracy: 0.93042
+
+With quantized model there is tiny accuracy drop, however this is the cost of 
great performance optimization and memory footprint reduction. The difference 
between calibration methods is dependent on the model itself, used activation 
layers and the size of calibration data.
+
+### Custom layer collectors and calibrating the model
+In MXNet 2.0 new interface for creating custom calibration collector has been 
added. Main goal of this interface is to give the user as much flexibility as 
possible in almost every step of quantization. Creating own layer collector is 
pretty easy, however computing effective min/max values can be not a trivial 
task. 
+
+Layer collectors are responsible for collecting statistics of each node in the 
graph — it means that the input/output data of every operator executed can be 
observed. Collector utilizes the register_op_hook method of HybridBlock class.
+
+Custom layer collector has to inherit from the CalibrationCollector class, 
which is provided in `contrib.quantization` package. This inheritance allows 
API to be consistent. Below is an example implementation of 
CalibrationCollector:
+
+```
+class ExampleNaiveCollector(CalibrationCollector):
+  """Saves layer output min and max values in a dict with layer names as keys.
+  The collected min and max values will be directly used as thresholds for 
quantization.
+  """
+  def __init__(self, logger=None):
+    # important! initialize base class attributes
+    super(ExampleNaiveCollector, self).__init__()
+    self.logger = logger
+    
+def collect(self, name, op_name, arr):
+  """Callback function for collecting min and max values from an NDArray."""
+  if name not in self.include_layers: # include_layers is populated by 
quantization API
+    return
+  arr = arr.copyto(cpu()).asnumpy()
+  
+  min_range = np.min(arr)
+  max_range = np.max(arr)
+  
+  if name in self.min_max_dict: # min_max_dict is by default empty dict
+    cur_min_max = self.min_max_dict[name]
+    self.min_max_dict[name] = (min(cur_min_max[0], min_range),
+    max(cur_min_max[1], max_range))
+  else:
+    self.min_max_dict[name] = (min_range, max_range)
+    
+  if self.logger:
+    self.logger.debug("Collecting layer %s min_range=%f, max_range=%f"
+                       % (name, min_range, max_range))
+    
+def post_collect(self):
+  # we're using min_max_dict and don't process any collected statistics so we 
don't
+  # need to override this function, however we are doing this for the sake of 
this article
+  return self.min_max_dict
+```
+Quantization API ‘injects’ names of nodes which require calibration into the 
include_layers attribute of custom collector — list of included layers allows 
to avoid unnecessary collecting on nodes which are not relevant in terms of 
quantization. Using this attribute is fully optional and user can implement his 
own logic.
+
+After collecting all statistic data post_collect function is called. In 
post_collect additional processing logic can be implemented, but it must return 
dictionary of nodes names as key and tuple of minimum and maximum values which 
should be used to calculate data scaling factors.
+
+### Example of usage with quantization API:
+```
+from mxnet.contrib.quantization import *
+import logging
+logging.basicConfig(level=logging.DEBUG)
+
+#…
+
+calib_data_loader = mx.gluon.data.DataLoader(…)
+my_collector = ExampleNaiveCollector(logger=logging.getLogger())
+
+qnet = quantize_net(net, calib_mode='custom', calib_data=calib_data_loader, 
LayerOutputCollector=my_collector)
+```
+
+## Performance and accuracy results
+
+### Performance
+Performance results of CV models. Chart presents three different runs: base 
float32 model without optimizations, fused float32 model with optimizations and 
quantized model.
+![performance](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/speedup.png?raw=true)
+###### Relative Inference Performance (img/sec) for Batch Size 128
+
+### Accuracy
+Accuracy results of CV models. Chart presents three different runs: base 
float32 model without optimizations, fused float32 model with optimizations and 
quantized model.
+![accuracy](https://github.com/dmlc/web-data/blob/main/mxnet/tutorials/onednn/quantization_2_0/accuracy.png?raw=true)
+###### ImageNet(ILSVRC2012) TOP1 validation accuracy
+
+## Notes

Review comment:
       In the preview you provided '## Notes' seems not to work properly. Was 
it only before adding a space between '##' and 'Notes'?




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