QuadraticLayer - Quadratic layer - MATLAB (original) (raw)

Main Content

Description

A quadratic layer calculates the pair-wise products of the elements of the input (the quadratic monomials).

Creation

Syntax

Description

`layer` = quadraticLayer creates a quadratic layer.

example

`layer` = quadraticLayer(Name=[name](#mw%5Fb6d2f3b2-043a-414f-acd9-6ca4bb810dc6)) also sets the layer name. For example, Name="quad" sets the layer name to "quad".

Input Arguments

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Layer name, specified as a character vector or a string scalar. For Layer array input, the trainnet anddlnetwork functions automatically assign names to unnamed layers.

This argument sets the Name property.

Data Types: char | string

Properties

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Layer name, specified as a character vector or a string scalar. For Layer array input, the trainnet anddlnetwork functions automatically assign names to unnamed layers.

The QuadraticLayer object stores this property as a character vector.

Data Types: char | string

This property is read-only.

One-line description of the layer, stored as 'Quadratic'. This description appears when you display a Layer array and when you use theanalyzeNetwork function.

This property is read-only.

Type of the layer, stored as 'Quadratic'. The type appears when you display a Layer array and when you use the analyzeNetwork function.

This property is read-only.

Number of inputs to the layer, stored as 1. This layer accepts a single input only.

Data Types: double

This property is read-only.

Input names, stored as {'in'}. This layer accepts a single input only.

Data Types: cell

This property is read-only.

Number of outputs from the layer, stored as 1. This layer has a single output only.

Data Types: double

This property is read-only.

Output names, stored as {'out'}. This layer has a single output only.

Data Types: cell

Examples

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Create a quadratic layer with the name "quad".

layer = quadraticLayer(Name="quad")

layer = QuadraticLayer with properties:

Name: 'quad'

Learnable Parameters No properties.

State Parameters No properties.

Show all properties

Include a quadratic layer in a layer array.

layers = [ featureInputLayer(3) quadraticLayer fullyConnectedLayer(1)];

Algorithms

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A quadratic layer calculates the pair-wise products of the elements of the input (the quadratic monomials).

The output of the layer is

where

is the layer input.

Layers in a layer array or layer graph pass data to subsequent layers as formatted dlarray objects. The format of a dlarray object is a string of characters in which each character describes the corresponding dimension of the data. The format consists of one or more of these characters:

For example, you can describe 2-D image data that is represented as a 4-D array, where the first two dimensions correspond to the spatial dimensions of the images, the third dimension corresponds to the channels of the images, and the fourth dimension corresponds to the batch dimension, as having the format "SSCB" (spatial, spatial, channel, batch).

QuadraticLayer objects support data of any format with one or two dimensions only. The layer operates over the first dimension. The layer and does not add or remove any dimensions and outputs data with the same format the input data.

Version History

Introduced in R2019a

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This layer now requires Deep Learning Toolbox™ only. In previous releases, this layer also required Reinforcement Learning Toolbox™.

There are some changes to the layer: