Leaky ReLU Layer

Leaky rectified linear unit (ReLU) layer

Since R2024b

• 

Libraries:
Deep Learning Toolbox / Deep Learning Layers / Activation Layers

Description

The Leaky ReLU Layer block performs a threshold operation where any input value less than zero is multiplied by a fixed scalar.

This operation is equivalent to:

$$f(x)=\{\begin{array}{ll}x,\hfill & x\ge 0\hfill \\ scale*x,\hfill & x<0\hfill \end{array}.$$

Because it applies an element-wise operation, this block supports input data of any format and outputs data that has the same dimensions and format as the input.

The exportNetworkToSimulink function generates this block to represent a leakyReluLayer object.

Ports

Input

In — Input matrix

scalar | vector | matrix

The matrix on which to perform the threshold operation.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fixed point

Output

Out — Output matrix

scalar | vector | matrix

The result of performing the threshold operation on the input matrix. Values less than zero in the input matrix are multiplied by the value of the Scale parameter.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fixed point

Parameters

To edit block parameters interactively, use the Property Inspector. From the Simulink^® Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

Main

Scale — Scale factor for negative inputs

0.01 (default) | numeric scalar

Scale factor for negative inputs, specified as a numeric scalar.

Programmatic Use

Block Parameter: Scale

Type: character vector

Values: numeric scalar

Default: '0.01'

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Data Types

Output minimum — Minimum output value for range checking

[] (default) | scalar

Minimum value of the output range that the software checks.

The software uses the minimum value to perform:

• Parameter range checking for some blocks. For more information, see Specify Minimum and Maximum Values for Block Parameters (Simulink).

• Simulation range checking. For more information, see Specify Signal Ranges (Simulink) and Enable Simulation Range Checking (Simulink).

• Automatic scaling of fixed-point data types.

• Optimization of the code that you generate from the model. This optimization can remove algorithmic code and affect the results of some simulation modes, such as SIL or external mode. For more information, see Optimize using the specified minimum and maximum values (Embedded Coder).

Tips

Output minimum does not saturate or clip the actual output signal. Use the Saturation (Simulink) block instead.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	OutMin
Values:	'[]' (default) | scalar in quotes

Output maximum — Maximum output value for range checking

[] (default) | scalar

Maximum value of the output range that the software checks.

The software uses the maximum value to perform:

• Parameter range checking for some blocks. For more information, see Specify Minimum and Maximum Values for Block Parameters (Simulink).

• Simulation range checking. For more information, see Specify Signal Ranges (Simulink) and Enable Simulation Range Checking (Simulink).

• Automatic scaling of fixed-point data types.

• Optimization of the code that you generate from the model. This optimization can remove algorithmic code and affect the results of some simulation modes, such as SIL or external mode. For more information, see Optimize using the specified minimum and maximum values (Embedded Coder).

Tips

Output maximum does not saturate or clip the actual output signal. Use the Saturation (Simulink) block instead.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	OutMax
Values:	'[]' (default) | scalar in quotes

Output data type — Data type of output

Inherit: Inherit via internal rule (default) | Inherit: Keep MSB | Inherit: Keep LSB | Inherit: Inherit via back propagation | Inherit: Same as first input | Inherit: Same as accumulator | <data type expression>

Choose the data type for the output. The type can be inherited, specified directly, or expressed as a data type object such as Simulink.NumericType. When you select Inherit: Inherit via internal rule, Simulink chooses a data type to balance numerical accuracy, performance, and generated code size, while taking into account the properties of the embedded target hardware.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	OutDataTypeStr
Values:	'Inherit: Inherit via internal rule' (default) | 'Inherit: Keep MSB' | 'Inherit: Keep LSB' | 'Inherit: Inherit via back propagation' | 'Inherit: Same as first input' | 'Inherit: Same as accumulator' | <data type expression>

Lock data type settings against changes by the fixed-point tools — Prevent fixed-point tools from overriding data types

off (default) | on

Select this parameter to prevent the fixed-point tools from overriding the data types you specify on this block. For more information, see Lock the Output Data Type Setting (Fixed-Point Designer).

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Block Parameter: LockScale

Type: character vector

Values: 'off' | 'on'

Default: 'off'

Output integer rounding mode — Rounding mode for fixed-point output cast operation

Floor (default) | Ceiling | Convergent | Nearest | Round | Simplest | Zero

Specify the rounding mode for the output value of the block, generated by the final fixed-point cast operation. For the rounding mode for the other internal block operations, see Internal integer rounding mode. For more information, see Rounding Modes (Fixed-Point Designer).

Block parameters always round to the nearest representable value. To control the rounding of a block parameter, enter an expression using a MATLAB^® rounding function in the mask field.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	RndMeth
Values:	'Floor' (default) | 'Ceiling' | 'Convergent' | 'Nearest' | 'Round' | 'Simplest' | 'Zero'

Output saturate on integer overflow — Method of overflow action for output cast operation

off (default) | on

Specify whether integer overflows saturate or wrap for the output value of the block, generated by the final fixed-point cast operation. For the method of overflow action of the internal block operations, see Internal saturate on integer overflow.

• on — Overflows saturate to either the minimum or maximum value that the data type can represent.

• off — Overflows wrap to the appropriate value that the data type can represent.

For example, the maximum value that the signed 8-bit integer int8 can represent is 127. Any block operation result greater than the maximum value causes overflow of the 8-bit integer.

• With this parameter selected, the block output saturates at 127. Similarly, the block output saturates at a minimum output value of –128.

• With this parameter cleared, the software interprets the overflow-causing value as int8, which can produce an unintended result. For example, a block result of 130 (binary 1000 0010) expressed as int8 is –126.

Tips

• Set this parameter to on when your model has a possible overflow and you want explicit saturation protection in the generated code.

• To optimize the efficiency of your generated code, keep the default off setting for this parameter. Using the default setting also helps you avoid overspecifying how the block handles out-of-range signals. For more information, see Troubleshoot Signal Range Errors (Simulink).

• When you select this parameter, saturation applies to only the output or the result.

• In general, the code generation process can detect when overflow is not possible. In this case, the code generator does not produce saturation code.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	SaturateOnIntegerOverflow
Values:	'off' (default) | 'on'

Scale — Data type of scale factor

Inherit: Inherit via back propagation (default) | Inherit: Inherit from 'Constant value' | <data type expression>

The block casts the value of the Scale parameter to this data type. The type can be inherited, specified directly, or expressed as a data type object such as Simulink.NumericType.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	ScaleDataTypeStr
Values:	'Inherit: Inherit via back propagation' (default) | 'Inherit: Inherit from 'Constant value'' | <data type expression>

Internal integer rounding mode — Rounding mode for internal fixed-point operations

Floor (default) | Ceiling | Convergent | Nearest | Round | Simplest | Zero

Specify the rounding mode for internal fixed-point computations except for the output operation. For the rounding mode of the output operation, see Output integer rounding mode. For more information, see Rounding Modes (Fixed-Point Designer).

Block parameters always round to the nearest representable value. To control the rounding of a block parameter, enter an expression using a MATLAB rounding function in the mask field.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	InternalRndMeth
Values:	'Floor' (default) | 'Ceiling' | 'Convergent' | 'Nearest' | 'Round' | 'Simplest' | 'Zero'

Internal saturate on integer overflow — Method of overflow action for internal block operations

off (default) | on

Specify whether integer overflows saturate or wrap for the internal operations of the block. For the method of overflow action of the block output, see Output saturate on integer overflow.

• on — Overflows saturate to either the minimum or maximum value that the data type can represent.

• off — Overflows wrap to the appropriate value that the data type can represent.

For example, the maximum value that the signed 8-bit integer int8 can represent is 127. Any block operation result greater than the maximum value causes overflow of the 8-bit integer.

• With this parameter selected, the block output saturates at 127. Similarly, the block output saturates at a minimum output value of –128.

• With this parameter cleared, the software interprets the overflow-causing value as int8, which can produce an unintended result. For example, a block result of 130 (binary 1000 0010) expressed as int8 is –126.

Tips

• Set this parameter to on when your model has a possible overflow and you want explicit saturation protection in the generated code.

• To optimize the efficiency of your generated code, keep the default off setting for this parameter. Using the default setting also helps you avoid overspecifying how the block handles out-of-range signals. For more information, see Troubleshoot Signal Range Errors (Simulink).

• When you select this parameter, saturation applies just to internal operations of the block.

• In general, the code generation process can detect when overflow is not possible. In this case, the code generator does not produce saturation code.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter:	InternalSaturateOnIntegerOverflow
Values:	'off' (default) | 'on'

Execution

Sample time — Option to specify sample time

-1 (default) | scalar

Specify the discrete interval between sample time hits or specify another type of sample time, such as continuous (0) or inherited (-1). For more options, see Types of Sample Time (Simulink).

By default, the block inherits its sample time based on the context of the block within the model.

Programmatic Use

To set the block parameter value programmatically, use the set_param (Simulink) function.

Parameter: SampleTime

Data Types: char

Values: '-1' (default) | scalar

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2024b

R2025a: Updated integer rounding mode and saturate on integer overflow parameters

The Integer rounding mode and Saturate integer overflow parameters are now split into output and internal versions of the parameters. Output integer rounding mode and Output saturate on integer overflow control the behavior of the final cast operation of the output of the block. Internal integer rounding mode and Internal saturate on integer overflow control the internal block operations.