Multi-Layer Perceptron Regressor¶
Multi-layer perceptron regressor
Documentation
Multi-layer perceptron regressor
Configuration:
max_iter
Maximum number of iterations. The solver iterates until convergence (determined by ‘tol’) or this number of iterations. For stochastic solvers (‘sgd’, ‘adam’), note that this determines the number of epochs (how many times each data point will be used), not the number of gradient steps.
hidden_layer_sizes
The ith element represents the number of neurons in the ith hidden layer.
activation
Activation function for the hidden layer.
‘identity’, no-op activation, useful to implement linear bottleneck, returns f(x) = x
‘logistic’, the logistic sigmoid function, returns f(x) = 1 / (1 + exp(-x)).
‘tanh’, the hyperbolic tan function, returns f(x) = tanh(x).
‘relu’, the rectified linear unit function, returns f(x) = max(0, x)
solver
The solver for weight optimization.
‘lbfgs’ is an optimizer in the family of quasi-Newton methods.
‘sgd’ refers to stochastic gradient descent.
‘adam’ refers to a stochastic gradient-based optimizer proposed by Kingma, Diederik, and Jimmy Ba
Note: The default solver ‘adam’ works pretty well on relatively large datasets (with thousands of training samples or more) in terms of both training time and validation score. For small datasets, however, ‘lbfgs’ can converge faster and perform better.
batch_size
Size of minibatches for stochastic optimizers. If the solver is ‘lbfgs’, the classifier will not use minibatch. When set to “auto”, batch_size=min(200, n_samples)
learning_rate
Learning rate schedule for weight updates.
‘constant’ is a constant learning rate given by ‘learning_rate_init’.
‘invscaling’ gradually decreases the learning rate
learning_rate_
at each time step ‘t’ using an inverse scaling exponent of ‘power_t’. effective_learning_rate = learning_rate_init / pow(t, power_t)‘adaptive’ keeps the learning rate constant to ‘learning_rate_init’ as long as training loss keeps decreasing. Each time two consecutive epochs fail to decrease training loss by at least tol, or fail to increase validation score by at least tol if ‘early_stopping’ is on, the current learning rate is divided by 5.
Only used when solver=’sgd’.
shuffle
Whether to shuffle samples in each iteration. Only used when solver=’sgd’ or ‘adam’.
early_stopping
Whether to use early stopping to terminate training when validation score is not improving. If set to true, it will automatically set aside 10% of training data as validation and terminate training when validation score is not improving by at least
tol
forn_iter_no_change
consecutive epochs. Only effective when solver=’sgd’ or ‘adam’validation_fraction
The proportion of training data to set aside as validation set for early stopping. Must be between 0 and 1. Only used if early_stopping is True
alpha
L2 penalty (regularization term) parameter.
tol
Tolerance for the optimization. When the loss or score is not improving by at least
tol
forn_iter_no_change
consecutive iterations, unlesslearning_rate
is set to ‘adaptive’, convergence is considered to be reached and training stops.learning_rate_init
The initial learning rate used. It controls the step-size in updating the weights. Only used when solver=’sgd’ or ‘adam’.
power_t
The exponent for inverse scaling learning rate. It is used in updating effective learning rate when the learning_rate is set to ‘invscaling’. Only used when solver=’sgd’.
momentum
Momentum for gradient descent update. Should be between 0 and 1. Only used when solver=’sgd’.
nesterovs_momentum
Whether to use Nesterov’s momentum. Only used when solver=’sgd’ and momentum > 0.
beta_1
Exponential decay rate for estimates of first moment vector in adam, should be in [0, 1). Only used when solver=’adam’
beta_2
Exponential decay rate for estimates of second moment vector in adam, should be in [0, 1). Only used when solver=’adam’
epsilon
Value for numerical stability in adam. Only used when solver=’adam’
random_state
Determines random number generation for weights and bias initialization, train-test split if early stopping is used, and batch sampling when solver=’sgd’ or ‘adam’. Pass an int for reproducible results across multiple function calls. See random_state.
warm_start
When set to True, reuse the solution of the previous call to fit as initialization, otherwise, just erase the previous solution. See warm_start.
Attributes:
loss_
The current loss computed with the loss function.
coefs_
The ith element in the list represents the weight matrix corresponding to layer i.
intercepts_
The ith element in the list represents the bias vector corresponding to layer i + 1.
n_iter_
The number of iterations the solver has ran.
n_layers_
Number of layers.
n_outputs_
Number of outputs.
out_activation_
Name of the output activation function.
Input ports:
- Output ports:
- modelmodel
Model
Definition
Input ports
Output ports
- model
model
Model