# nssTrainingSGDM

## Description

SGDM options set object to train an `idNeuralStateSpace`

network using `nlssest`

.

## Creation

Create a `nssTrainingSGDM`

object using `nssTrainingOptions`

and specifying `"sgdm"`

as input argument.

## Properties

`UpdateMethod`

— Solver used to update network parameters

`SGDM`

(default)

Solver used to update network parameters, returned as a string. This property is
read-only. Use `nssTrainingOptions("sgdm")`

to return an options set
object for the SGDM solver instead.

**Example: **`SGDM`

`Momentum`

— Contribution of previous step

`0.95`

(default) | nonnegative scalar less than `1`

Contribution of the parameter update step of the previous iteration to the current
iteration of stochastic gradient descent with momentum, specified as a scalar from
`0`

to `1`

.

A value of `0`

means no contribution from the previous step,
whereas a value of `1`

means maximal contribution from the previous
step. The default value works well for most tasks.

For more information, see `TrainingOptionsSGDM`

(Deep Learning Toolbox).

**Example: **`0.9`

`LossFcn`

— Type of function used to calculate loss

`"MeanAbsoluteError"`

(default) | `"MeanSquaredError"`

Type of function used to calculate loss, specified as one of the following:

`"MeanAbsoluteError"`

— use the mean value of the absolute error.`"MeanSquaredError"`

— using the mean value of the squared error.

**Example: **`MeanSquaredError`

`PlotLossFcn`

— Option to plot the value of the loss function during training

`true`

(default) | `false`

Option to plot the value of the loss function during training, specified as one of the following:

`true`

— plot the value of the loss function during training.`false`

— do not plot the value of the loss function during training

**Example: **`false`

`LearnRate`

— Learning rate

`0.001`

(default) | positive scalar

Learning rate used for training, specified as a positive scalar. If the learning rate is too small, then training can take a long time. If the learning rate is too large, then training might reach a suboptimal result or diverge.

For more information, see `TrainingOptionsSGDM`

(Deep Learning Toolbox).

**Example: **`0.01`

`MaxEpochs`

— Maximum number of epochs

`100`

(default) | positive integer

Maximum number of epochs to use for training, specified as a positive integer. An epoch is the full pass of the training algorithm over the entire training set.

For more information, see `TrainingOptionsSGDM`

(Deep Learning Toolbox).

**Example: **`400`

`MiniBatchSize`

— Size of mini-batch

`100`

(default) | positive integer

Size of the mini-batch to use for each training iteration, specified as a positive integer. A mini-batch is a subset of the training set that is used to evaluate the gradient of the loss function and update the weights.

If the mini-batch size does not evenly divide the number of training samples, then
`nlssest`

discards the training data that does not fit into the
final complete mini-batch of each epoch.

For more information, see `TrainingOptionsSGDM`

(Deep Learning Toolbox).

**Example: **`200`

`ODESolverOptions`

— ODE solver options for continuous-time systems

`nssDLODE45`

(default)

ODE solver options to integrate continuous-time neural state-space systems,
specified as an `nssDLODE45`

object

Use dot notation to access properties such as the following:

`Solver`

— Solver type, set as`"dlode45"`

. This is a read-only property.`InitialStepSize`

— Initial step size, specified as a positive scalar. If you do not specify an initial step size, then the solver bases the initial step size on the slope of the solution at the initial time point.`MaxStepSize`

— Maximum step size, specified as a positive scalar. It is an upper bound on the size of any step taken by the solver. The default is one tenth of the difference between final and initial time.`AbsoluteTolerance`

— Absolute tolerance, specified as a positive scalar. It is the largest allowable absolute error. Intuitively, when the solution approaches 0,`AbsoluteTolerance`

is the threshold below which you do not worry about the accuracy of the solution since it is effectively 0.`RelativeTolerance`

— Relative tolerance, specified as a positive scalar. This tolerance measures the error relative to the magnitude of each solution component. Intuitively, it controls the number of significant digits in a solution, (except when it is smaller than the absolute tolerance).

For more information, see `odeset`

.

**Example: **`200`

`InputInterSample`

— Input interpolation method

`"spline"`

(default) | string | character array

Input interpolation method, specified as one of the following strings:

`"zoh"`

— Use zero-order hold interpolation method.`"foh"`

— Use first-order hold interpolation method.`"cubic"`

— Use cubic interpolation method.`"makima"`

— Use modified Akima interpolation method.`"pchip"`

— Use shape-preserving piecewise cubic interpolation method.`"spline"`

— Use spline interpolation method.

This is the interpolation method used to interpolate the input when integrating
continuous-time neural state-space systems. For more information, see interpolation
methods in `interp1`

.

**Example: **`"foh"`

## Examples

### Create SGDM Option Set to Train a Neural State-Space System

Use `nssTrainingOptions`

to return an options set object to train an `idNeuralStateSpace`

system.

`adamOpts = nssTrainingOptions("sgdm")`

adamOpts = nssTrainingSGDM with properties: UpdateMethod: "SGDM" Momentum: 0.9500 LossFcn: "MeanAbsoluteError" PlotLossFcn: 1 LearnRate: 1.0000e-03 MaxEpochs: 100 MiniBatchSize: 100 ODESolverOptions: [1x1 idoptions.nssDLODE45] InputInterSample: 'spline'

Use dot notation to access the object properties.

adamOpts.LearnRate = 0.01;

You can now use `sgdmOpts`

as the value of a name-value pair input argument to `nlssest`

to specify the training options for the state (`StateOptions=sgdmOpts`

) or the output (`OutputOptions=sgdmOpts`

) network of an `idNeuralStateSpace`

object.

## Version History

**Introduced in R2022b**

## See Also

### Objects

### Functions

`nssTrainingOptions`

|`nlssest`

|`odeset`

|`generateMATLABFunction`

|`idNeuralStateSpace/evaluate`

|`idNeuralStateSpace/linearize`

|`sim`

|`createMLPNetwork`

### Blocks

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