compile

Class: dlhdl.Workflow
Namespace: dlhdl

Compile workflow object

Since R2020b

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Syntax

compile(workflowObject)
compile(workflowObject,Name,Value)

Description

compile(workflowObject) compiles the dlhdl.Workflow object and generates the parameters for deploying the network on the target device.

compile(workflowObject,Name,Value) compiles the dlhdl.Workflow object and generates the parameters for deploying the network on the target device, with additional options specified by one or more Name,Value pair arguments.

example

The function returns two matrices. One matrix describes the layers of the network. The Conv Controller (Scheduling) and the FC Controller (Scheduling) modules in the deep learning processor IP use this matrix to schedule the convolution and fully connected layer operations. The second matrix contains the weights, biases, and inputs of the neural network. This information is loaded onto the DDR memory and used by the Generic Convolution Processor and the Generic FC Processor in the deep learning processor.

When you call the compile method on the dlhdl.Workflow object, Deep Learning HDL Toolbox™ compiles the workflow object and organizes the

  • Parameters for deploying the network

  • Network weights and biases

  • Deep learning processor instructions and schedules for the deep learning processor modules

  • Memory locations for the inputs and outputs

Input Arguments

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Deep learning network deployment options, specified as a dlhdl.Workflow object.

Name-Value Arguments

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Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Parameter to specify maximum input frame number limit to calculate DDR memory access allocation.

Example: 'InputFrameNumberLimit',30

Flag to enable hardware implementation of image input layer normalization function, specified as a string or character vector.

Example: HardwareNormalization = "auto"

Examples

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Compile the dlhdl.Workflow object, for deployment to the Intel® Arria® 10 SoC development kit that has single data types.

Create a dlhdl.Workflow object and then use the compile function to deploy the pretrained network to the target hardware.

snet = vgg19;
hT = dlhdl.Target('Intel');
hW = dlhdl.Workflow('network', snet, 'Bitstream', 'arria10soc_single','Target',hT);
hW.compile

Once the code is executed the result is:

  hW.compile
          offset_name          offset_address     allocated_space 
    _______________________    ______________    _________________

    "InputDataOffset"           "0x00000000"     "24.0 MB"        
    "OutputResultOffset"        "0x01800000"     "4.0 MB"         
    "SystemBufferOffset"        "0x01c00000"     "52.0 MB"        
    "InstructionDataOffset"     "0x05000000"     "20.0 MB"        
    "ConvWeightDataOffset"      "0x06400000"     "276.0 MB"       
    "FCWeightDataOffset"        "0x17800000"     "472.0 MB"       
    "EndOffset"                 "0x35000000"     "Total: 848.0 MB"


ans = 

  struct with fields:

       Operators: [1×1 struct]
    LayerConfigs: [1×1 struct]
      NetConfigs: [1×1 struct]

  1. Create a dlhdl.Workflow object and then use the compile function with optional argument of InputFrameNumberLimit to deploy the pretrained network to the target hardware.

    net = resnet18;
hT = dlhdl.Target('Xilinx');
hW = dlhdl.Workflow('Network', net, 'Bitstream', 'zcu102_single','Target',hT);
hW.compile('InputFrameNumberLimit',30);

  2. The result of the code execution is:

    ### Compiling network for Deep Learning FPGA prototyping ...
### Targeting FPGA bitstream zcu102_single.
### The network includes the following layers:
     1   'data'                              Image Input                  224×224×3 images with 'zscore' normalization                          (SW Layer)
     2   'conv1'                             Convolution                  64 7×7×3 convolutions with stride [2  2] and padding [3  3  3  3]     (HW Layer)
     3   'bn_conv1'                          Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
     4   'conv1_relu'                        ReLU                         ReLU                                                                  (HW Layer)
     5   'pool1'                             Max Pooling                  3×3 max pooling with stride [2  2] and padding [1  1  1  1]           (HW Layer)
     6   'res2a_branch2a'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
     7   'bn2a_branch2a'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
     8   'res2a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
     9   'res2a_branch2b'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    10   'bn2a_branch2b'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    11   'res2a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    12   'res2a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    13   'res2b_branch2a'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    14   'bn2b_branch2a'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    15   'res2b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    16   'res2b_branch2b'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    17   'bn2b_branch2b'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    18   'res2b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    19   'res2b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    20   'res3a_branch2a'                    Convolution                  128 3×3×64 convolutions with stride [2  2] and padding [1  1  1  1]   (HW Layer)
    21   'bn3a_branch2a'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    22   'res3a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    23   'res3a_branch2b'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    24   'bn3a_branch2b'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    25   'res3a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    26   'res3a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    27   'res3a_branch1'                     Convolution                  128 1×1×64 convolutions with stride [2  2] and padding [0  0  0  0]   (HW Layer)
    28   'bn3a_branch1'                      Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    29   'res3b_branch2a'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    30   'bn3b_branch2a'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    31   'res3b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    32   'res3b_branch2b'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    33   'bn3b_branch2b'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    34   'res3b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    35   'res3b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    36   'res4a_branch2a'                    Convolution                  256 3×3×128 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    37   'bn4a_branch2a'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    38   'res4a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    39   'res4a_branch2b'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    40   'bn4a_branch2b'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    41   'res4a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    42   'res4a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    43   'res4a_branch1'                     Convolution                  256 1×1×128 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    44   'bn4a_branch1'                      Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    45   'res4b_branch2a'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    46   'bn4b_branch2a'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    47   'res4b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    48   'res4b_branch2b'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    49   'bn4b_branch2b'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    50   'res4b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    51   'res4b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    52   'res5a_branch2a'                    Convolution                  512 3×3×256 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    53   'bn5a_branch2a'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    54   'res5a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    55   'res5a_branch2b'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    56   'bn5a_branch2b'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    57   'res5a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    58   'res5a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    59   'res5a_branch1'                     Convolution                  512 1×1×256 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    60   'bn5a_branch1'                      Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    61   'res5b_branch2a'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    62   'bn5b_branch2a'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    63   'res5b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    64   'res5b_branch2b'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    65   'bn5b_branch2b'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    66   'res5b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    67   'res5b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    68   'pool5'                             2-D Global Average Pooling   2-D global average pooling                                            (HW Layer)
    69   'fc1000'                            Fully Connected              1000 fully connected layer                                            (HW Layer)
    70   'prob'                              Softmax                      softmax                                                               (HW Layer)
    71   'ClassificationLayer_predictions'   Classification Output        crossentropyex with 'tench' and 999 other classes                     (SW Layer)
                                                                                                                                              
### Optimizing network: Fused 'nnet.cnn.layer.BatchNormalizationLayer' into 'nnet.cnn.layer.Convolution2DLayer'
### Notice: The layer 'data' of type 'ImageInputLayer' is split into an image input layer 'data', an addition layer 'data_norm_add', and a multiplication layer 'data_norm' for hardware normalization.
### Notice: The layer 'prob' with type 'nnet.cnn.layer.SoftmaxLayer' is implemented in software.
### Notice: The layer 'ClassificationLayer_predictions' with type 'nnet.cnn.layer.ClassificationOutputLayer' is implemented in software.
### Compiling layer group: conv1>>pool1 ...
### Compiling layer group: conv1>>pool1 ... complete.
### Compiling layer group: res2a_branch2a>>res2a_branch2b ...
### Compiling layer group: res2a_branch2a>>res2a_branch2b ... complete.
### Compiling layer group: res2b_branch2a>>res2b_branch2b ...
### Compiling layer group: res2b_branch2a>>res2b_branch2b ... complete.
### Compiling layer group: res3a_branch1 ...
### Compiling layer group: res3a_branch1 ... complete.
### Compiling layer group: res3a_branch2a>>res3a_branch2b ...
### Compiling layer group: res3a_branch2a>>res3a_branch2b ... complete.
### Compiling layer group: res3b_branch2a>>res3b_branch2b ...
### Compiling layer group: res3b_branch2a>>res3b_branch2b ... complete.
### Compiling layer group: res4a_branch1 ...
### Compiling layer group: res4a_branch1 ... complete.
### Compiling layer group: res4a_branch2a>>res4a_branch2b ...
### Compiling layer group: res4a_branch2a>>res4a_branch2b ... complete.
### Compiling layer group: res4b_branch2a>>res4b_branch2b ...
### Compiling layer group: res4b_branch2a>>res4b_branch2b ... complete.
### Compiling layer group: res5a_branch1 ...
### Compiling layer group: res5a_branch1 ... complete.
### Compiling layer group: res5a_branch2a>>res5a_branch2b ...
### Compiling layer group: res5a_branch2a>>res5a_branch2b ... complete.
### Compiling layer group: res5b_branch2a>>res5b_branch2b ...
### Compiling layer group: res5b_branch2a>>res5b_branch2b ... complete.
### Compiling layer group: pool5 ...
### Compiling layer group: pool5 ... complete.
### Compiling layer group: fc1000 ...
### Compiling layer group: fc1000 ... complete.

### Allocating external memory buffers:

          offset_name          offset_address     allocated_space 
    _______________________    ______________    _________________

    "InputDataOffset"           "0x00000000"     "24.0 MB"        
    "OutputResultOffset"        "0x01800000"     "4.0 MB"         
    "SchedulerDataOffset"       "0x01c00000"     "8.0 MB"         
    "SystemBufferOffset"        "0x02400000"     "28.0 MB"        
    "InstructionDataOffset"     "0x04000000"     "4.0 MB"         
    "ConvWeightDataOffset"      "0x04400000"     "52.0 MB"        
    "FCWeightDataOffset"        "0x07800000"     "4.0 MB"         
    "EndOffset"                 "0x07c00000"     "Total: 124.0 MB"

### Network compilation complete.

  1. Create a dlhdl.Workflow object with resnet18 as the network for deployment to a Xilinx® Zynq® UltraScale+™ MPSoC ZCU102 board which uses single data types.

    net = resnet18;
hTarget = dlhdl.Target('Xilinx');
hW = dlhdl.Workflow('Network',snet,'Bitstream','zcu102_single','Target',hTarget);

  2. Call the compile function on hW

    hW.compile

    Calling the compile function, returns:

    ### Compiling network for Deep Learning FPGA prototyping ...
### Targeting FPGA bitstream zcu102_single ...
### The network includes the following layers:

     1   'data'                              Image Input              224×224×3 images with 'zscore' normalization                          (SW Layer)
     2   'conv1'                             Convolution              64 7×7×3 convolutions with stride [2  2] and padding [3  3  3  3]     (HW Layer)
     3   'bn_conv1'                          Batch Normalization      Batch normalization with 64 channels                                  (HW Layer)
     4   'conv1_relu'                        ReLU                     ReLU                                                                  (HW Layer)
     5   'pool1'                             Max Pooling              3×3 max pooling with stride [2  2] and padding [1  1  1  1]           (HW Layer)
     6   'res2a_branch2a'                    Convolution              64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
     7   'bn2a_branch2a'                     Batch Normalization      Batch normalization with 64 channels                                  (HW Layer)
     8   'res2a_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
     9   'res2a_branch2b'                    Convolution              64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    10   'bn2a_branch2b'                     Batch Normalization      Batch normalization with 64 channels                                  (HW Layer)
    11   'res2a'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    12   'res2a_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    13   'res2b_branch2a'                    Convolution              64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    14   'bn2b_branch2a'                     Batch Normalization      Batch normalization with 64 channels                                  (HW Layer)
    15   'res2b_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    16   'res2b_branch2b'                    Convolution              64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    17   'bn2b_branch2b'                     Batch Normalization      Batch normalization with 64 channels                                  (HW Layer)
    18   'res2b'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    19   'res2b_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    20   'res3a_branch2a'                    Convolution              128 3×3×64 convolutions with stride [2  2] and padding [1  1  1  1]   (HW Layer)
    21   'bn3a_branch2a'                     Batch Normalization      Batch normalization with 128 channels                                 (HW Layer)
    22   'res3a_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    23   'res3a_branch2b'                    Convolution              128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    24   'bn3a_branch2b'                     Batch Normalization      Batch normalization with 128 channels                                 (HW Layer)
    25   'res3a'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    26   'res3a_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    27   'res3a_branch1'                     Convolution              128 1×1×64 convolutions with stride [2  2] and padding [0  0  0  0]   (HW Layer)
    28   'bn3a_branch1'                      Batch Normalization      Batch normalization with 128 channels                                 (HW Layer)
    29   'res3b_branch2a'                    Convolution              128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    30   'bn3b_branch2a'                     Batch Normalization      Batch normalization with 128 channels                                 (HW Layer)
    31   'res3b_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    32   'res3b_branch2b'                    Convolution              128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    33   'bn3b_branch2b'                     Batch Normalization      Batch normalization with 128 channels                                 (HW Layer)
    34   'res3b'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    35   'res3b_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    36   'res4a_branch2a'                    Convolution              256 3×3×128 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    37   'bn4a_branch2a'                     Batch Normalization      Batch normalization with 256 channels                                 (HW Layer)
    38   'res4a_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    39   'res4a_branch2b'                    Convolution              256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    40   'bn4a_branch2b'                     Batch Normalization      Batch normalization with 256 channels                                 (HW Layer)
    41   'res4a'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    42   'res4a_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    43   'res4a_branch1'                     Convolution              256 1×1×128 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    44   'bn4a_branch1'                      Batch Normalization      Batch normalization with 256 channels                                 (HW Layer)
    45   'res4b_branch2a'                    Convolution              256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    46   'bn4b_branch2a'                     Batch Normalization      Batch normalization with 256 channels                                 (HW Layer)
    47   'res4b_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    48   'res4b_branch2b'                    Convolution              256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    49   'bn4b_branch2b'                     Batch Normalization      Batch normalization with 256 channels                                 (HW Layer)
    50   'res4b'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    51   'res4b_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    52   'res5a_branch2a'                    Convolution              512 3×3×256 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    53   'bn5a_branch2a'                     Batch Normalization      Batch normalization with 512 channels                                 (HW Layer)
    54   'res5a_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    55   'res5a_branch2b'                    Convolution              512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    56   'bn5a_branch2b'                     Batch Normalization      Batch normalization with 512 channels                                 (HW Layer)
    57   'res5a'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    58   'res5a_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    59   'res5a_branch1'                     Convolution              512 1×1×256 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    60   'bn5a_branch1'                      Batch Normalization      Batch normalization with 512 channels                                 (HW Layer)
    61   'res5b_branch2a'                    Convolution              512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    62   'bn5b_branch2a'                     Batch Normalization      Batch normalization with 512 channels                                 (HW Layer)
    63   'res5b_branch2a_relu'               ReLU                     ReLU                                                                  (HW Layer)
    64   'res5b_branch2b'                    Convolution              512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    65   'bn5b_branch2b'                     Batch Normalization      Batch normalization with 512 channels                                 (HW Layer)
    66   'res5b'                             Addition                 Element-wise addition of 2 inputs                                     (HW Layer)
    67   'res5b_relu'                        ReLU                     ReLU                                                                  (HW Layer)
    68   'pool5'                             Global Average Pooling   Global average pooling                                                (HW Layer)
    69   'fc1000'                            Fully Connected          1000 fully connected layer                                            (HW Layer)
    70   'prob'                              Softmax                  softmax                                                               (SW Layer)
    71   'ClassificationLayer_predictions'   Classification Output    crossentropyex with 'tench' and 999 other classes                     (SW Layer)

### Optimizing series network: Fused 'nnet.cnn.layer.BatchNormalizationLayer' into 'nnet.cnn.layer.Convolution2DLayer'
5 Memory Regions created.

Skipping: data
Compiling leg: conv1>>pool1 ...
Compiling leg: conv1>>pool1 ... complete.
Compiling leg: res2a_branch2a>>res2a_branch2b ...
Compiling leg: res2a_branch2a>>res2a_branch2b ... complete.
Compiling leg: res2b_branch2a>>res2b_branch2b ...
Compiling leg: res2b_branch2a>>res2b_branch2b ... complete.
Compiling leg: res3a_branch2a>>res3a_branch2b ...
Compiling leg: res3a_branch2a>>res3a_branch2b ... complete.
Compiling leg: res3a_branch1 ...
Compiling leg: res3a_branch1 ... complete.
Compiling leg: res3b_branch2a>>res3b_branch2b ...
Compiling leg: res3b_branch2a>>res3b_branch2b ... complete.
Compiling leg: res4a_branch2a>>res4a_branch2b ...
Compiling leg: res4a_branch2a>>res4a_branch2b ... complete.
Compiling leg: res4a_branch1 ...
Compiling leg: res4a_branch1 ... complete.
Compiling leg: res4b_branch2a>>res4b_branch2b ...
Compiling leg: res4b_branch2a>>res4b_branch2b ... complete.
Compiling leg: res5a_branch2a>>res5a_branch2b ...
Compiling leg: res5a_branch2a>>res5a_branch2b ... complete.
Compiling leg: res5a_branch1 ...
Compiling leg: res5a_branch1 ... complete.
Compiling leg: res5b_branch2a>>res5b_branch2b ...
Compiling leg: res5b_branch2a>>res5b_branch2b ... complete.
Compiling leg: pool5 ...
Compiling leg: pool5 ... complete.
Compiling leg: fc1000 ...
Compiling leg: fc1000 ... complete.
Skipping: prob
Skipping: ClassificationLayer_predictions
Creating Schedule...
...........................
Creating Schedule...complete.
Creating Status Table...
..........................
Creating Status Table...complete.
Emitting Schedule...
..........................
Emitting Schedule...complete.
Emitting Status Table...
............................
Emitting Status Table...complete.

### Allocating external memory buffers:

          offset_name          offset_address     allocated_space 
    _______________________    ______________    _________________

    "InputDataOffset"           "0x00000000"     "24.0 MB"        
    "OutputResultOffset"        "0x01800000"     "4.0 MB"         
    "SchedulerDataOffset"       "0x01c00000"     "4.0 MB"         
    "SystemBufferOffset"        "0x02000000"     "28.0 MB"        
    "InstructionDataOffset"     "0x03c00000"     "4.0 MB"         
    "ConvWeightDataOffset"      "0x04000000"     "52.0 MB"        
    "FCWeightDataOffset"        "0x07400000"     "4.0 MB"         
    "EndOffset"                 "0x07800000"     "Total: 120.0 MB"

### Network compilation complete.


ans = 

  struct with fields:

             weights: [1×1 struct]
        instructions: [1×1 struct]
           registers: [1×1 struct]
    syncInstructions: [1×1 struct]

  1. Create a dlhdl.Workflow object with resnet18 as the network for deployment to a Xilinx Zynq UltraScale+ MPSoC ZCU102 board which uses single data types.

    net = resnet18;
hTarget = dlhdl.Target('Xilinx',Interface = 'Ethernet');
hW = dlhdl.Workflow(Network = net,Bitstream ='zcu102_single',Target = hTarget);

  2. Call the compile function on hW. Enable hardware implementation of the input image layer normalization function by setting theHardwareNormalization argument to auto.

    hW.compile(HardwareNormalization = 'auto')

    Calling the compile function, returns:

    ### Compiling network for Deep Learning FPGA prototyping ...
### Targeting FPGA bitstream zcu102_single.
### The network includes the following layers:
     1   'data'                              Image Input                  224×224×3 images with 'zscore' normalization                          (SW Layer)
     2   'conv1'                             Convolution                  64 7×7×3 convolutions with stride [2  2] and padding [3  3  3  3]     (HW Layer)
     3   'bn_conv1'                          Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
     4   'conv1_relu'                        ReLU                         ReLU                                                                  (HW Layer)
     5   'pool1'                             Max Pooling                  3×3 max pooling with stride [2  2] and padding [1  1  1  1]           (HW Layer)
     6   'res2a_branch2a'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
     7   'bn2a_branch2a'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
     8   'res2a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
     9   'res2a_branch2b'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    10   'bn2a_branch2b'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    11   'res2a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    12   'res2a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    13   'res2b_branch2a'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    14   'bn2b_branch2a'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    15   'res2b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    16   'res2b_branch2b'                    Convolution                  64 3×3×64 convolutions with stride [1  1] and padding [1  1  1  1]    (HW Layer)
    17   'bn2b_branch2b'                     Batch Normalization          Batch normalization with 64 channels                                  (HW Layer)
    18   'res2b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    19   'res2b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    20   'res3a_branch2a'                    Convolution                  128 3×3×64 convolutions with stride [2  2] and padding [1  1  1  1]   (HW Layer)
    21   'bn3a_branch2a'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    22   'res3a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    23   'res3a_branch2b'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    24   'bn3a_branch2b'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    25   'res3a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    26   'res3a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    27   'res3a_branch1'                     Convolution                  128 1×1×64 convolutions with stride [2  2] and padding [0  0  0  0]   (HW Layer)
    28   'bn3a_branch1'                      Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    29   'res3b_branch2a'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    30   'bn3b_branch2a'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    31   'res3b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    32   'res3b_branch2b'                    Convolution                  128 3×3×128 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    33   'bn3b_branch2b'                     Batch Normalization          Batch normalization with 128 channels                                 (HW Layer)
    34   'res3b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    35   'res3b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    36   'res4a_branch2a'                    Convolution                  256 3×3×128 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    37   'bn4a_branch2a'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    38   'res4a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    39   'res4a_branch2b'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    40   'bn4a_branch2b'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    41   'res4a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    42   'res4a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    43   'res4a_branch1'                     Convolution                  256 1×1×128 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    44   'bn4a_branch1'                      Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    45   'res4b_branch2a'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    46   'bn4b_branch2a'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    47   'res4b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    48   'res4b_branch2b'                    Convolution                  256 3×3×256 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    49   'bn4b_branch2b'                     Batch Normalization          Batch normalization with 256 channels                                 (HW Layer)
    50   'res4b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    51   'res4b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    52   'res5a_branch2a'                    Convolution                  512 3×3×256 convolutions with stride [2  2] and padding [1  1  1  1]  (HW Layer)
    53   'bn5a_branch2a'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    54   'res5a_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    55   'res5a_branch2b'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    56   'bn5a_branch2b'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    57   'res5a'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    58   'res5a_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    59   'res5a_branch1'                     Convolution                  512 1×1×256 convolutions with stride [2  2] and padding [0  0  0  0]  (HW Layer)
    60   'bn5a_branch1'                      Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    61   'res5b_branch2a'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    62   'bn5b_branch2a'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    63   'res5b_branch2a_relu'               ReLU                         ReLU                                                                  (HW Layer)
    64   'res5b_branch2b'                    Convolution                  512 3×3×512 convolutions with stride [1  1] and padding [1  1  1  1]  (HW Layer)
    65   'bn5b_branch2b'                     Batch Normalization          Batch normalization with 512 channels                                 (HW Layer)
    66   'res5b'                             Addition                     Element-wise addition of 2 inputs                                     (HW Layer)
    67   'res5b_relu'                        ReLU                         ReLU                                                                  (HW Layer)
    68   'pool5'                             2-D Global Average Pooling   2-D global average pooling                                            (HW Layer)
    69   'fc1000'                            Fully Connected              1000 fully connected layer                                            (HW Layer)
    70   'prob'                              Softmax                      softmax                                                               (HW Layer)
    71   'ClassificationLayer_predictions'   Classification Output        crossentropyex with 'tench' and 999 other classes                     (SW Layer)
                                                                                                                                              
### Optimizing network: Fused 'nnet.cnn.layer.BatchNormalizationLayer' into 'nnet.cnn.layer.Convolution2DLayer'
### Notice: The layer 'data' of type 'ImageInputLayer' is split into an image input layer 'data', an addition layer 'data_norm_add', and a multiplication layer 'data_norm' for hardware normalization.
### Notice: The layer 'prob' with type 'nnet.cnn.layer.SoftmaxLayer' is implemented in software.
### Notice: The layer 'ClassificationLayer_predictions' with type 'nnet.cnn.layer.ClassificationOutputLayer' is implemented in software.
### Compiling layer group: conv1>>pool1 ...
### Compiling layer group: conv1>>pool1 ... complete.
### Compiling layer group: res2a_branch2a>>res2a_branch2b ...
### Compiling layer group: res2a_branch2a>>res2a_branch2b ... complete.
### Compiling layer group: res2b_branch2a>>res2b_branch2b ...
### Compiling layer group: res2b_branch2a>>res2b_branch2b ... complete.
### Compiling layer group: res3a_branch1 ...
### Compiling layer group: res3a_branch1 ... complete.
### Compiling layer group: res3a_branch2a>>res3a_branch2b ...
### Compiling layer group: res3a_branch2a>>res3a_branch2b ... complete.
### Compiling layer group: res3b_branch2a>>res3b_branch2b ...
### Compiling layer group: res3b_branch2a>>res3b_branch2b ... complete.
### Compiling layer group: res4a_branch1 ...
### Compiling layer group: res4a_branch1 ... complete.
### Compiling layer group: res4a_branch2a>>res4a_branch2b ...
### Compiling layer group: res4a_branch2a>>res4a_branch2b ... complete.
### Compiling layer group: res4b_branch2a>>res4b_branch2b ...
### Compiling layer group: res4b_branch2a>>res4b_branch2b ... complete.
### Compiling layer group: res5a_branch1 ...
### Compiling layer group: res5a_branch1 ... complete.
### Compiling layer group: res5a_branch2a>>res5a_branch2b ...
### Compiling layer group: res5a_branch2a>>res5a_branch2b ... complete.
### Compiling layer group: res5b_branch2a>>res5b_branch2b ...
### Compiling layer group: res5b_branch2a>>res5b_branch2b ... complete.
### Compiling layer group: pool5 ...
### Compiling layer group: pool5 ... complete.
### Compiling layer group: fc1000 ...
### Compiling layer group: fc1000 ... complete.

### Allocating external memory buffers:

          offset_name          offset_address     allocated_space 
    _______________________    ______________    _________________

    "InputDataOffset"           "0x00000000"     "24.0 MB"        
    "OutputResultOffset"        "0x01800000"     "4.0 MB"         
    "SchedulerDataOffset"       "0x01c00000"     "8.0 MB"         
    "SystemBufferOffset"        "0x02400000"     "28.0 MB"        
    "InstructionDataOffset"     "0x04000000"     "4.0 MB"         
    "ConvWeightDataOffset"      "0x04400000"     "52.0 MB"        
    "FCWeightDataOffset"        "0x07800000"     "4.0 MB"         
    "EndOffset"                 "0x07c00000"     "Total: 124.0 MB"

### Network compilation complete.


ans = 

  struct with fields:

             weights: [1×1 struct]
        instructions: [1×1 struct]
           registers: [1×1 struct]
    syncInstructions: [1×1 struct]
        constantData: {{1×2 cell}  [0.0171 0.0175 0.0174 0 0.0171 0.0175 0.0174 0 0.0171 0.0175 0.0174 0 0.0171 0.0175 0.0174 0 … ]}

    During compilation the compiler splits the image input layer into an image input layer, addition layer, and multiplication layer for hardware implementation.

This example uses:

Open Live Script

Reduce the time to train a sequence forecasting network by swapping out the LSTM later for a gated recurrent unit (GRU) layer. Use the deployed network to predict future values by using open-loop and closed-loop forecasting. Use MATLAB® to retrieve the prediction results from the target device.

Modified Waveform Data Network

The network attached to this example was trained using the Time Series Forecasting Using Deep Learning. In this example the LSTM layer was swapped out for a GRU layer. This example uses the WaveformData.mat data set, which contains 2000 synthetically generated waveforms of varying lengths with three channels. This example uses a trained network with a GRU layer to forecast future values of the waveforms given the values from the previous time steps using both closed loop and open loop forecasting.

Load the Pretrained Network

To load the GRU layer network enter:

load grunet

Use the analyzeNetwork function to obtain information about the network layers. the function returns a graphical representation of the network that contains detailed parameter information for every layer in the network.

analyzeNetwork(net)

Define FPGA Board Interface

Define the target FPGA board programming interface by using the dlhdl.Target object. Specify that the interface is for a Xilinx board with an Ethernet interface.

To create the target object, enter:

hTarget_gru = dlhdl.Target('Xilinx',Interface='Ethernet');

To use the JTAG interface, install Xilinx™ Vivado™ Design Suite 2020.2. To set the Xilinx Vivado toolpath, enter:

hdlsetuptoolpath('ToolName', 'Xilinx Vivado', 'ToolPath', 'C:\Xilinx\Vivado\2020.2\bin\vivado.bat');
hTarget = dlhdl.Target('Xilinx',Interface='JTAG');

Prepare Network for Deployment

Prepare the network for deployment by creating a dlhdl.Workflow object. Specify the network and the bitstream name. Ensure that the bitstream name matches the data type and the FPGA board. In this example the target FPGA board is the Xilinx ZCU102 SOC board. The bitstream uses a single data type. 

hW_gru = dlhdl.Workflow(Network=net,Bitstream='zcu102_lstm_single',Target=hTarget_gru);

Tu run the example on the Xilinx ZC706 board, enter:

hW = dlhdl.Workflow(Network=net,Bitstream='zc706_lstm_single',Target=hTarget);

Compile the GRU Layer Network

Run the compile method of the dlhdl.Workflow object to compile the network and generate the instructions, weights, and biases for deployment. The total number of frames exceeds the default value of 30. Set the InputFrameNumberLimit name-value argument to 1000 to run predictions in chunks of 1000 frames to prevent timeouts.

dn = compile(hW_gru,'InputFrameNumberLimit',1000)
### Compiling network for Deep Learning FPGA prototyping ...
### Targeting FPGA bitstream zcu102_lstm_single.
### The network includes the following layers:
     1   'sequenceinput'      Sequence Input      Sequence input with 3 dimensions             (SW Layer)
     2   'gru'                GRU                 GRU with 128 hidden units                    (HW Layer)
     3   'fc'                 Fully Connected     3 fully connected layer                      (HW Layer)
     4   'regressionoutput'   Regression Output   mean-squared-error with response 'Response'  (SW Layer)
                                                                                             
### Notice: The layer 'sequenceinput' with type 'nnet.cnn.layer.ImageInputLayer' is implemented in software.
### Notice: The layer 'regressionoutput' with type 'nnet.cnn.layer.RegressionOutputLayer' is implemented in software.
### Compiling layer group: gru.wh ...
### Compiling layer group: gru.wh ... complete.
### Compiling layer group: gru.rh ...
### Compiling layer group: gru.rh ... complete.
### Compiling layer group: gru.w1 ...
### Compiling layer group: gru.w1 ... complete.
### Compiling layer group: gru.w2 ...
### Compiling layer group: gru.w2 ... complete.
### Compiling layer group: fc ...
### Compiling layer group: fc ... complete.

### Allocating external memory buffers:

          offset_name          offset_address     allocated_space 
    _______________________    ______________    _________________

    "InputDataOffset"           "0x00000000"     "16.0 kB"        
    "OutputResultOffset"        "0x00004000"     "16.0 kB"        
    "SchedulerDataOffset"       "0x00008000"     "676.0 kB"       
    "SystemBufferOffset"        "0x000b1000"     "20.0 kB"        
    "InstructionDataOffset"     "0x000b6000"     "4.0 kB"         
    "FCWeightDataOffset"        "0x000b7000"     "204.0 kB"       
    "EndOffset"                 "0x000ea000"     "Total: 936.0 kB"

### Network compilation complete.

dn = struct with fields:
             weights: [1×1 struct]
        instructions: [1×1 struct]
           registers: [1×1 struct]
    syncInstructions: [1×1 struct]
        constantData: {{1×2 cell}  [1×128 double]}
             ddrInfo: [1×1 struct]
       resourceTable: [6×2 table]

Program Bitstream onto FPGA and Download Network Weights

To deploy the network on the Xilinx ZCU102 SoC hardware, run the deploy function of the dlhdl.Workflow object. This function uses the output of the compile function to program the FPGA board by using the programming file. It also downloads the network weights and biases. The deploy function starts programming the FPGA device and displays progress messages, and the required time to deploy the network.

 deploy(hW_gru)
### FPGA bitstream programming has been skipped as the same bitstream is already loaded on the target FPGA.
### Deep learning network programming has been skipped as the same network is already loaded on the target FPGA.

Test Network

Prepare the test data for prediction. Normalize the test data using the statistics calculated from the training data. Forecast the values using the GRU layer network. To forecast the values of future time steps of a sequence, specify the targets as the test sequences with values shifted by one time step. In other words, at each time step of the input sequence, the GRU layer network learns to predict the value of the next time step.

load WaveformData.mat
data = cellfun(@(x)x',data,UniformOutput=false);
numChannels = size(data{1},1);
numObservations = numel(data);

idxTrain = 1:floor(0.9*numObservations);
idxTest = floor(0.9*numObservations)+1:numObservations;
dataTrain = data(idxTrain);
dataTest = data(idxTest);

for n = 1:numel(dataTrain)
    X = dataTrain{n};
    XTrain{n} = X(:,1:end-1);
    TTrain{n} = X(:,2:end);
end

muX = mean(cat(2,XTrain{:}),2);
sigmaX = std(cat(2,XTrain{:}),0,2);
muT = mean(cat(2,TTrain{:}),2);
sigmaT = std(cat(2,TTrain{:}),0,2);

for n = 1:size(dataTest,1)
    X = dataTest{n};
    XTest{n} = (X(:,1:end-1) - muX) ./ sigmaX;
    TTest{n} = (X(:,2:end) - muT) ./ sigmaT;
end

Make predictions using the test data.

YTest_gru = predict(hW_gru,XTest{1},Profile = 'on');
### Resetting network state.
### Finished writing input activations.
### Running a sequence of length 115.


              Deep Learning Processor Profiler Performance Results

                   LastFrameLatency(cycles)   LastFrameLatency(seconds)       FramesNum      Total Latency     Frames/s
                         -------------             -------------              ---------        ---------       ---------
Network                      26856                  0.00012                     115            3134945           8070.3
    gru.wh                     448                  0.00000 
    gru.rh                    7539                  0.00003 
    memSeparator_0              95                  0.00000 
    memSeparator_2             184                  0.00000 
    gru.w1                    7460                  0.00003 
    gru.w2                    7608                  0.00003 
    gru.sigmoid_1              222                  0.00000 
    gru.sigmoid_2              224                  0.00000 
    gru.multiplication_2       308                  0.00000 
    gru.multiplication_4       344                  0.00000 
    gru.multiplication_1       294                  0.00000 
    gru.addition_2             324                  0.00000 
    gru.addition_1             294                  0.00000 
    gru.tanh_1                 238                  0.00000 
    gru.multiplication_3       388                  0.00000 
    gru.addition_3             298                  0.00000 
    fc                         420                  0.00000 
    memSeparator_1             168                  0.00000 
 * The clock frequency of the DL processor is: 220MHz

To evaluate the accuracy, calculate the root mean squared error (RMSE) between the predictions and the target for each test sequence.

for i = 1:size(YTest_gru,1)
    rmse(i) = sqrt(mean((YTest_gru(i) - TTest{1}(i)).^2,"all"));
end

Visualize the errors in a histogram. Lower values indicate greater accuracy.

figure
histogram(rmse)
xlabel("RMSE")
ylabel("Frequency")

Calculate the mean RMSE over all test observations.

mean(rmse)
ans = single
    0.7688

Forecast Future Time Steps

To forecast the values of multiple future time steps, when given an input time series or sequence, use the predictAndUpdateState function. This function predicts time steps one at a time and updates the network state at each prediction. For each prediction, use the previous prediction as the input to the function.

Visualize one of the test sequences in a plot.

idx = 2;
X_gru = XTest{idx};
T_gru = TTest{idx};

figure
stackedplot(X_gru',DisplayLabels="Channel " + (1:numChannels))
xlabel("Time Step")
title("Test Observation " + idx)

Open-Loop Forecasting

Open-loop forecasting predicts the next time step in a sequence using only the input data. When making predictions for subsequent time steps, you collect the true values form your data source and use those as input. For example, suppose that you want to predict the value for time step t of a sequence by using data collected in time steps 1 through t-1. To make predictions for time step t+1, wait until you record the true value for time step t and use that value as input to make the next prediction. Use open-loop forecasting when you have true values to provide to the network before making the next prediction.

Initialize the network state by resetting the state using the resetState function, then make an initial prediction using the first few time steps of the input data. Update the network state by using the first 75 time steps of the input data.

resetState(hW_gru)
offset = 75;
[~,~] = predict(hW_gru,X_gru(:,1:offset),KeepState=true,Profile='on'); 
### Resetting network state.
### Finished writing input activations.
### Running a sequence of length 75.


              Deep Learning Processor Profiler Performance Results

                   LastFrameLatency(cycles)   LastFrameLatency(seconds)       FramesNum      Total Latency     Frames/s
                         -------------             -------------              ---------        ---------       ---------
Network                      26867                  0.00012                      75            2044941           8068.7
    gru.wh                     438                  0.00000 
    gru.rh                    7528                  0.00003 
    memSeparator_0              86                  0.00000 
    memSeparator_2             184                  0.00000 
    gru.w1                    7540                  0.00003 
    gru.w2                    7629                  0.00003 
    gru.sigmoid_1              222                  0.00000 
    gru.sigmoid_2              224                  0.00000 
    gru.multiplication_2       338                  0.00000 
    gru.multiplication_4       294                  0.00000 
    gru.multiplication_1       334                  0.00000 
    gru.addition_2             294                  0.00000 
    gru.addition_1             294                  0.00000 
    gru.tanh_1                 238                  0.00000 
    gru.multiplication_3       288                  0.00000 
    gru.addition_3             348                  0.00000 
    fc                         420                  0.00000 
    memSeparator_1             168                  0.00000 
 * The clock frequency of the DL processor is: 220MHz

To forecast further predictions, loop over time steps and update the network state by using the predict function and setting the KeepState name-value argument to true. Forecast values for the remaining time steps of the test observation by looping over the time steps of the input data and using them as input to the network. The first prediction is the value that corresponds to the time step offset + 1.

numTimeSteps = size(X_gru,2);
numPredictionTimeSteps = numTimeSteps - offset;
Y_gru = predict(hW_gru,X_gru(:,offset+1:offset+numPredictionTimeSteps),KeepState=true,Profile='on');
### Finished writing input activations.
### Running a sequence of length 116.


              Deep Learning Processor Profiler Performance Results

                   LastFrameLatency(cycles)   LastFrameLatency(seconds)       FramesNum      Total Latency     Frames/s
                         -------------             -------------              ---------        ---------       ---------
Network                      26738                  0.00012                     116            3161519           8072.1
    gru.wh                     448                  0.00000 
    gru.rh                    7569                  0.00003 
    memSeparator_0              86                  0.00000 
    memSeparator_2             184                  0.00000 
    gru.w1                    7570                  0.00003 
    gru.w2                    7499                  0.00003 
    gru.sigmoid_1              222                  0.00000 
    gru.sigmoid_2              224                  0.00000 
    gru.multiplication_2       308                  0.00000 
    gru.multiplication_4       294                  0.00000 
    gru.multiplication_1       294                  0.00000 
    gru.addition_2             294                  0.00000 
    gru.addition_1             294                  0.00000 
    gru.tanh_1                 288                  0.00000 
    gru.multiplication_3       288                  0.00000 
    gru.addition_3             298                  0.00000 
    fc                         410                  0.00000 
    memSeparator_1             168                  0.00000 
 * The clock frequency of the DL processor is: 220MHz

Compare the predictions with the target values.

figure
t = tiledlayout(numChannels,1);
title(t,"Open Loop Forecasting with GRU layer")

for i = 1:numChannels
    nexttile
    plot(T_gru(i,:))
    hold on
    plot(offset:numTimeSteps,[T_gru(i,offset) Y_gru(i,:)],'--')
    ylabel("Channel " + i)
end

xlabel("Time Step")
nexttile(1)
legend(["Input" "Forecasted"])

Closed-Loop Forecasting

Closed-loop forecasting predicts subsequent time steps in a sequence by using the previous predictions as input. In this case, the model does not require the true values to make the prediction. For example, suppose that you want to predict the value for time steps t through t+k of the sequence by using data collected in time steps 1 through t-1. To make predictions for time step i, use the predicted value for time step i-1 as input. Use closed-loop forecasting to forecast multiple subsequent time steps or when you do not have true values to provide to the network before making the next prediction.

Initialize the network state by resetting the state using the resetState function, then make an initial prediction, Z, using the first few time steps of the input data. Update the network state by using the first 75 time steps of the input data.

resetState(hW_gru)
[Z, ~] = predict(hW_gru,X_gru,KeepState=true,Profile='on');
### Resetting network state.
### Finished writing input activations.
### Running a sequence of length 191.


              Deep Learning Processor Profiler Performance Results

                   LastFrameLatency(cycles)   LastFrameLatency(seconds)       FramesNum      Total Latency     Frames/s
                         -------------             -------------              ---------        ---------       ---------
Network                      26956                  0.00012                     191            5206622           8070.5
    gru.wh                     448                  0.00000 
    gru.rh                    7549                  0.00003 
    memSeparator_0              96                  0.00000 
    memSeparator_2             185                  0.00000 
    gru.w1                    7539                  0.00003 
    gru.w2                    7608                  0.00003 
    gru.sigmoid_1              221                  0.00000 
    gru.sigmoid_2              224                  0.00000 
    gru.multiplication_2       308                  0.00000 
    gru.multiplication_4       324                  0.00000 
    gru.multiplication_1       324                  0.00000 
    gru.addition_2             324                  0.00000 
    gru.addition_1             344                  0.00000 
    gru.tanh_1                 228                  0.00000 
    gru.multiplication_3       308                  0.00000 
    gru.addition_3             298                  0.00000 
    fc                         460                  0.00000 
    memSeparator_1             168                  0.00000 
 * The clock frequency of the DL processor is: 220MHz

To forecast further predictions, loop over time steps and update the network state by using the predict function and setting the KeepState name-value argument to true. Forecast the next 200 time steps by iteratively passing the previously predicted value to the network. Because the network does not require the input data to make any further predictions, you can specify any number of time steps to forecast.

numPredictionTimeSteps = 200;
Xt_gru = Z(:,end);
Y_gru = zeros(numChannels,numPredictionTimeSteps);
fprintf("Run %d predictions:\n", numPredictionTimeSteps);
Run 200 predictions:

for t = 1:numPredictionTimeSteps    
    [Y_gru(:,t),~] =  predict(hW_gru,Xt_gru,KeepState=true);
    Xt_gru = Y_gru(:,t);   
end

Visualize the forecasted values in a plot.

offset = size(X_gru,2);
numTimeSteps = offset + numPredictionTimeSteps;

figure
t = tiledlayout(numChannels,1);
title(t,"Closed Loop Forecasting with GRU layer")

for i = 1:numChannels
    nexttile
    plot(T_gru(i,1:offset))
    hold on
    plot(offset:numTimeSteps,[T_gru(i,offset) Y_gru(i,:)],'--')
    ylabel("Channel " + i)
end

xlabel("Time Step")
nexttile(1)
legend(["Input" "Forecasted"])

Closed-loop forecasting allows you to forecast an arbitrary number of time steps, but can be less accurate when compared to open-loop forecasting because the network does not have access to the true values during the forecasting process.

Compare Network Predictions

Compare the predictions of the LSTM layer network to the GRU layer network. This image shows the comparison between the GRU layer network and LSTM layer network for open loop forecasting. The GRU layer network has a performance of 8070.5 frames per second and the LSTM layer network has a performance of 6463.1 frames per second. To learn how to deploy the LSTM layer network to an FPGA, see Run Sequence Forecasting on FPGA by Using Deep Learning HDL Toolbox.

This image shows the comparison between the GRU layer network and LSTM layer network for closed loop forecasting.

Version History

Introduced in R2020b

See Also

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Topics