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Adaline#

Adaptive Linear Neuron is a single layer neural network with a continuous linear output neuron. Training is equivalent to solving L2 regularized linear regression (Ridge) iteratively using Mini Batch Gradient Descent.

Interfaces: Estimator, Learner, Online, Verbose, Persistable

Data Type Compatibility: Continuous

Parameters#

# Param Default Type Description
1 batch size 100 int The number of training samples to process at a time.
2 optimizer Adam object The gradient descent optimizer used to update the network parameters.
3 alpha 1e-4 float The amount of L2 regularization to apply to the parameters of the network.
4 epochs 1000 int The maximum number of training epochs. i.e. the number of times to iterate over the entire training set before terminating.
5 min change 1e-4 float The minimum change in the training loss necessary to continue training.
6 window 5 int The number of epochs without improvement in the training loss to wait before considering an early stop.
7 cost fn LeastSquares object The function that computes the loss associated with an erroneous activation during training.

Additional Methods#

Return the training loss at each epoch:

public steps() : array

Return the underlying neural network instance or null if untrained:

public network() : Network|null

Example#

use Rubix\ML\Classifers\Adaline;
use Rubix\ML\NeuralNet\Optimizers\Adam;
use Rubix\ML\NeuralNet\CostFunctions\HuberLoss;

$estimator = new Adaline(10, new Adam(0.001), 500, 1e-6, 5, new HuberLoss(2.5));

References#

  • B. Widrow. (1960). An Adaptive "Adaline" Neuron Using Chemical "Memistors".