rlPGAgent
Policy gradient (PG) reinforcement learning agent
Description
The policy gradient (PG) algorithm is a on-policy reinforcement learning method for environments with a discrete or continuous action space. A policy gradient agent uses the REINFORCE algorithm to directly estimate a stochastic policy. As REINFORCE belongs to the class of Monte Carlo methods, learning occurs only after an episode is finished. For continuous action spaces, this agent does not enforce constraints set in the action specification; therefore, if you need to enforce action constraints, you must do so within the environment. As this algorithm belongs to the class of Monte Carlo methods, the agent does not learn during an episode but only after an episode is finished.
For more information on PG agents and the REINFORCE algorithm, see REINFORCE Policy Gradient (PG) Agent. For more information on the different types of reinforcement learning agents, see Reinforcement Learning Agents.
Creation
Syntax
Description
Create Agent from Observation and Action Specifications
creates a policy gradient agent for an environment with the given observation and action
specifications, using default initialization options. The actor and critic in the agent
use default deep neural networks built from the observation specification
agent
= rlPGAgent(observationInfo
,actionInfo
)observationInfo
and the action specification
actionInfo
. The ObservationInfo
and
ActionInfo
properties of agent
are set to
the observationInfo
and actionInfo
input
arguments, respectively.
creates a policy gradient agent for an environment with the given observation and action
specifications. The agent uses default networks in which each hidden fully connected
layer has the number of units specified in the agent
= rlPGAgent(observationInfo
,actionInfo
,initOpts
)initOpts
object. For
more information on the initialization options, see rlAgentInitializationOptions
.
Create Agent from Actor and Critic
creates a policy gradient agent with the specified actor network. By default, the
agent
= rlPGAgent(actor
)UseBaseline
property of the agent is false
in
this case.
Specify Agent Options
creates a policy gradient agent and sets the agent
= rlPGAgent(___,agentOptions
)AgentOptions
property to the agentOptions
input argument. Use this syntax after
any of the input arguments in the previous syntaxes.
Input Arguments
initOpts
— Agent initialization options
rlAgentInitializationOptions
object
Agent initialization options, specified as an rlAgentInitializationOptions
object.
actor
— Actor
rlDiscreteCategoricalActor
object | rlContinuousGaussianActor
object
Actor that implements the policy, specified as an rlDiscreteCategoricalActor
or rlContinuousGaussianActor
function approximator object. For more
information on creating actor approximators, see Create Policies and Value Functions.
critic
— Baseline critic
rlValueFunction
object
Baseline critic that estimates the discounted long-term reward, specified as an
rlValueFunction
object. For more information on creating critic approximators, see Create Policies and Value Functions.
Properties
ObservationInfo
— Observation specifications
specification object | array of specification objects
Observation specifications, specified as an rlFiniteSetSpec
or rlNumericSpec
object or an array containing a mix of such objects. Each element in the array defines
the properties of an environment observation channel, such as its dimensions, data type,
and name.
If you create the agent by specifying an actor or critic, the value of
ObservationInfo
matches the value specified in the actor and
critic objects. If you create a default agent, the agent constructor function sets the
ObservationInfo
property to the input argument
observationInfo
.
You can extract observationInfo
from an existing environment,
function approximator, or agent using getObservationInfo
. You can also construct the specifications manually
using rlFiniteSetSpec
or rlNumericSpec
.
Example: [rlNumericSpec([2 1])
rlFiniteSetSpec([3,5,7])]
ActionInfo
— Action specification
rlFiniteSetSpec
object | rlNumericSpec
object
Action specifications, specified either as an rlFiniteSetSpec
(for discrete action spaces) or rlNumericSpec
(for continuous action spaces) object. This object defines the properties of the
environment action channel, such as its dimensions, data type, and name.
Note
For this agent, only one action channel is allowed.
If you create the agent by specifying an actor and critic, the value of
ActionInfo
matches the value specified in the actor and critic
objects. If you create a default agent, the agent constructor function sets the
ActionInfo
property to the input argument
ActionInfo
.
You can extract actionInfo
from an existing environment, function
approximator, or agent using getActionInfo
. You can also construct the specification manually using
rlFiniteSetSpec
or rlNumericSpec
.
Example: rlNumericSpec([2 1])
AgentOptions
— Agent options
rlPGAgentOptions
object
Agent options, specified as an rlPGAgentOptions
object.
UseExplorationPolicy
— Option to use exploration policy for simulation and deployment
true
(default) | false
Option to use exploration policy when selecting actions during simulation or after deployment, specified as a one of the following logical values.
true
— Use the base agent exploration policy when selecting actions insim
andgeneratePolicyFunction
. Specifically, in this case the agent uses therlStochasticActorPolicy
policy with theUseMaxLikelihoodAction
property set tofalse
. Since the agent selects its actions by sampling its probability distribution, the policy is stochastic and the agent explores its action and observation spaces.false
— Force the agent to use the base agent greedy policy (the action with maximum likelihood) when selecting actions insim
andgeneratePolicyFunction
. Specifically, in this case the agent uses therlStochasticActorPolicy
policy with theUseMaxLikelihoodAction
property set totrue
. Since the agent selects its actions greedily the policy behaves deterministically and the agent does not explore its action and observation spaces.
Note
This option affects only simulation and deployment; it does not affect training.
When you train an agent using train
,
the agent always uses its exploration policy independently of the value of this
property.
SampleTime
— Sample time of agent
1
(default) | positive scalar | -1
Sample time of the agent, specified as a positive scalar or as -1
.
Within a MATLAB® environment, the agent is executed every time the environment advances,
so, SampleTime
does not affect the timing of the agent
execution.
Within a Simulink® environment, the RL Agent block
that uses the agent object executes every SampleTime
seconds of
simulation time. If SampleTime
is -1
the block
inherits the sample time from its input signals. Set SampleTime
to
-1
when the block is a child of an event-driven subsystem.
Note
Set SampleTime
to a positive scalar when the block is not
a child of an event-driven subsystem. Doing so ensures that the block executes
at appropriate intervals when input signal sample times change due to model
variations.
Regardless of the type of environment, the time interval between consecutive elements
in the output experience returned by sim
or
train
is
always SampleTime
.
If SampleTime
is -1
, for Simulink environments, the time interval between consecutive elements in the
returned output experience reflects the timing of the events that trigger the RL Agent block
execution, while for MATLAB environments, this time interval is considered equal to
1
.
This property is shared between the agent and the agent options object within the agent. Therefore, if you change it in the agent options object, it gets changed in the agent, and vice versa.
Example: SampleTime=-1
Object Functions
train | Train reinforcement learning agents within a specified environment |
sim | Simulate trained reinforcement learning agents within specified environment |
getAction | Obtain action from agent, actor, or policy object given environment observations |
getActor | Extract actor from reinforcement learning agent |
setActor | Set actor of reinforcement learning agent |
getCritic | Extract critic from reinforcement learning agent |
setCritic | Set critic of reinforcement learning agent |
generatePolicyFunction | Generate MATLAB function that evaluates policy of an agent or policy object |
Examples
Create Default Policy Gradient Agent
Create an environment and obtain its observation and action specifications. For this example, load the environment used in the example Create DQN Agent Using Deep Network Designer and Train Using Image Observations. This environment has two observations: a 50-by-50 grayscale image and a scalar (the angular velocity of the pendulum). The action is a scalar with five possible elements (a torque of -2, -1, 0, 1, or 2 Nm applied to the pole).
env = rlPredefinedEnv("SimplePendulumWithImage-Discrete");
Obtain observation and action specification objects.
obsInfo = getObservationInfo(env); actInfo = getActionInfo(env);
The agent creation function initializes the actor and critic networks randomly. Ensure reproducibility by fixing the seed of the random generator.
rng(0)
Create a policy gradient agent from the environment observation and action specifications. Since actInfo
is an rlFiniteSetSpec
object, rlPGAgent
creates an agent with a discrete action space. When actInfo
is an rlNumericSpec
object, rlPGAgent
creates an agent with a continuous action space.
agent = rlPGAgent(obsInfo,actInfo);
To check your agent, use getAction
to return the action from a random observation.
getAction(agent,{rand(obsInfo(1).Dimension),rand(obsInfo(2).Dimension)})
ans = 1x1 cell array
{[-2]}
You can now test and train the agent within the environment.
Create Default Policy Gradient Agent Using Initialization Options
Create an environment and obtain its observation and action specifications. For this example, load the environment used in the example Train DDPG Agent to Swing Up and Balance Pendulum with Image Observation. This environment has two observations: a 50-by-50 grayscale image and a scalar (the angular velocity of the pendulum). The action is a scalar representing a torque ranging continuously from -2 to 2 Nm.
env = rlPredefinedEnv("SimplePendulumWithImage-Continuous");
Obtain observation and action specifications.
obsInfo = getObservationInfo(env); actInfo = getActionInfo(env);
Create an agent initialization option object, specifying that each hidden fully connected layer in the network must have 128 neurons (instead of the default number, 256). Policy gradient agents do not support recurrent networks, so setting the UseRNN
option to true
generates an error when the agent is created.
initOpts = rlAgentInitializationOptions(NumHiddenUnit=128);
The agent creation function initializes the actor and critic networks randomly. Ensure reproducibility by fixing the seed of the random generator.
rng(0)
Create a policy gradient agent from the environment observation and action specifications. Since actInfo
is an rlNumericSpec
object, rlPGAgent
creates an agent with a continuous action space. When actInfo
is an rlFiniteSetSpec
object, rlPGAgent
creates an agent with a discrete action space.
agent = rlPGAgent(obsInfo,actInfo,initOpts);
Extract the deep neural networks from both the agent actor and critic.
actorNet = getModel(getActor(agent)); criticNet = getModel(getCritic(agent));
To verify that each hidden fully connected layer has 128 neurons, you can display the layers on the MATLAB® command window,
criticNet.Layers
or visualize the structure interactively using analyzeNetwork
.
analyzeNetwork(criticNet)
Plot actor and critic networks, and display their number of weights.
plot(actorNet)
summary(actorNet)
Initialized: true Number of learnables: 18.9M Inputs: 1 'input_1' 50x50x1 images 2 'input_2' 1 features
plot(criticNet)
summary(criticNet)
Initialized: true Number of learnables: 18.9M Inputs: 1 'input_1' 50x50x1 images 2 'input_2' 1 features
To check your agent, use getAction
to return the action from a random observation.
getAction(agent,{rand(obsInfo(1).Dimension),rand(obsInfo(2).Dimension)})
ans = 1x1 cell array
{[0.9228]}
You can now test and train the agent within the environment.
Create a Discrete PG Agent from Actor and Baseline Critic
Create an environment with a discrete action space, and obtain its observation and action specifications. For this example, load the environment used in the example Train PG Agent with Custom Networks to Control Discrete Double Integrator. The observation from the environment is a vector containing the position and velocity of a mass. The action is a scalar representing a force, applied to the mass, having three possible values (-2, 0, or 2 Newton).
env = rlPredefinedEnv("DoubleIntegrator-Discrete");
obsInfo = getObservationInfo(env)
obsInfo = rlNumericSpec with properties: LowerLimit: -Inf UpperLimit: Inf Name: "states" Description: "x, dx" Dimension: [2 1] DataType: "double"
actInfo = getActionInfo(env)
actInfo = rlFiniteSetSpec with properties: Elements: [-2 0 2] Name: "force" Description: [0x0 string] Dimension: [1 1] DataType: "double"
Policy-gradient agents can optionally use a parametrized baseline function to approximate the value of the policy. A value-function approximator takes the current observation as input and returns a single scalar as output (the estimated discounted cumulative long-term reward for following the policy from the state corresponding to the current observation).
To model the parametrized baseline function, use a neural network with one input layer (which receives the content of the observation channel, as specified by obsInfo
) and one output layer (which returns the scalar value). Note that prod(obsInfo.Dimension)
returns the total number of dimensions of the observation space regardless of whether the observation space is a column vector, row vector, or matrix.
Define the network as an array of layer objects.
baselineNet = [ featureInputLayer(prod(obsInfo.Dimension)) fullyConnectedLayer(64) reluLayer fullyConnectedLayer(1) ];
Convert to a dlnetwork
object, initialize it, and display the number of weights.
baselineNet = dlnetwork(baselineNet); baselineNet = initialize(baselineNet); summary(baselineNet)
Initialized: true Number of learnables: 257 Inputs: 1 'input' 2 features
Create the baseline approximator object using baselineNet
and the observation specification. For more information on value function approximators, see rlValueFunction
.
baseline = rlValueFunction(baselineNet,obsInfo);
Check the critic with a random input observation.
getValue(baseline,{rand(obsInfo.Dimension)})
ans = single
-0.1204
Policy gradient agents use a parametrized stochastic policy, which for discrete action spaces is implemented by a discrete categorical actor. This actor takes an observation as input and returns as output a random action sampled (among the finite number of possible actions) from a categorical probability distribution.
To model the parametrized policy within the actor, use a neural network with one input layer (which receives the content of the environment observation channel, as specified by obsInfo
) and one output layer. The output layer must return a vector of probabilities for each possible action, as specified by actInfo
. Note that numel(actInfo.Dimension)
returns the number of elements of the discrete action space.
Define the network as an array of layer objects.
actorNet = [ featureInputLayer(prod(obsInfo.Dimension)) fullyConnectedLayer(64) reluLayer fullyConnectedLayer(numel(actInfo.Elements)) ];
Convert to a dlnetwork
object, initialize it, and display the number of weights.
actorNet = dlnetwork(actorNet); actorNet = initialize(actorNet); summary(actorNet)
Initialized: true Number of learnables: 387 Inputs: 1 'input' 2 features
Create the actor using actorNet
and the observation and action specifications. For more information on discrete categorical actors, see rlDiscreteCategoricalActor
.
actor = rlDiscreteCategoricalActor(actorNet,obsInfo,actInfo);
Check the actor with a random observation input.
getAction(actor,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[-2]}
Create the PG agent using the actor and the baseline critic.
agent = rlPGAgent(actor,baseline)
agent = rlPGAgent with properties: AgentOptions: [1x1 rl.option.rlPGAgentOptions] UseExplorationPolicy: 1 ObservationInfo: [1x1 rl.util.rlNumericSpec] ActionInfo: [1x1 rl.util.rlFiniteSetSpec] SampleTime: 1
Specify options for the agent, including training options for the actor and critic.
agent.AgentOptions.UseBaseline = true; agent.AgentOptions.DiscountFactor = 0.99; agent.AgentOptions.CriticOptimizerOptions.LearnRate = 5e-3; agent.AgentOptions.CriticOptimizerOptions.GradientThreshold = 1; agent.AgentOptions.ActorOptimizerOptions.LearnRate = 5e-3; agent.AgentOptions.ActorOptimizerOptions.GradientThreshold = 1;
Check the agent with a random observation input.
getAction(agent,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[-2]}
You can now test and train the agent within the environment.
Create a Continuous PG Agent from Actor and Baseline Critic
Create an environment with a continuous action space, and obtain its observation and action specifications. For this example, load the double integrator continuous action space environment used in the example Compare DDPG Agent to LQR Controller.
env = rlPredefinedEnv("DoubleIntegrator-Continuous");
obsInfo = getObservationInfo(env)
obsInfo = rlNumericSpec with properties: LowerLimit: -Inf UpperLimit: Inf Name: "states" Description: "x, dx" Dimension: [2 1] DataType: "double"
actInfo = getActionInfo(env)
actInfo = rlNumericSpec with properties: LowerLimit: -Inf UpperLimit: Inf Name: "force" Description: [0x0 string] Dimension: [1 1] DataType: "double"
In this example, the action is a scalar value representing a force ranging from -2 to 2 Newton. To make sure that the output from the agent is in this range, you perform an appropriate scaling operation. Store these limits so you can easily access them later.
actInfo.LowerLimit = -2; actInfo.UpperLimit = 2;
Policy-gradient agents can optionally use a parametrized baseline function to approximate the value of the policy. A value-function approximator takes the current observation as input and returns a single scalar as output (the estimated discounted cumulative long-term reward for following the policy from the state corresponding to the current observation).
To model the parametrized baseline function, use a neural network with one input layer (which receives the content of the observation channel, as specified by obsInfo
) and one output layer (which returns the scalar value). Note that prod(obsInfo.Dimension)
returns the total number of dimensions of the observation space regardless of whether the observation space is a column vector, row vector, or matrix.
Define the network as an array of layer objects.
baselineNet = [ featureInputLayer(prod(obsInfo.Dimension)) fullyConnectedLayer(64) reluLayer fullyConnectedLayer(1) ];
Convert to a dlnetwork
object, initialize it, and display the number of weights.
baselineNet = dlnetwork(baselineNet); baselineNet = initialize(baselineNet); summary(baselineNet)
Initialized: true Number of learnables: 257 Inputs: 1 'input' 2 features
Create the baseline approximator object using baselineNet
and the observation specification. For more information on value function approximators, see rlValueFunction
.
baseline = rlValueFunction(baselineNet,obsInfo);
Check the critic with a random input observation.
getValue(baseline,{rand(obsInfo.Dimension)})
ans = single
-0.1204
Policy-gradient agents use a parametrized stochastic policy, which for continuous action spaces is implemented by a continuous Gaussian actor. This actor takes an observation as input and returns as output a random action sampled from a Gaussian probability distribution.
To approximate the mean values and standard deviations of the Gaussian distribution, you must use a neural network with two output layers, each having as many elements as the dimension of the action space. One output layer must return a vector containing the mean values for each action dimension. The other must return a vector containing the standard deviation for each action dimension.
Note that standard deviations must be nonnegative and mean values must fall within the range of the action. Therefore the output layer that returns the standard deviations must be a softplus or ReLU layer, to enforce nonnegativity, while the output layer that returns the mean values must be a scaling layer, to scale the mean values to the output range.
For this example the environment has only one observation channel and therefore the network has only one input layer.
Define each network path as an array of layer objects, and assign names to the input and output layers of each path. These names allow you to connect the paths and then later explicitly associate the network input and output layers with the appropriate environment channel.
% Input path inPath = [ featureInputLayer(prod(obsInfo.Dimension),Name="obs_in") fullyConnectedLayer(32) reluLayer(Name="ip_out") ]; % Mean path meanPath = [ fullyConnectedLayer(16,Name="mp_fc1") reluLayer fullyConnectedLayer(1) tanhLayer(Name="tanh"); % range: -1,1 scalingLayer(Name="mp_out", ... Scale=actInfo.UpperLimit) % range: -2,2 ]; % Standard deviation path sdevPath = [ fullyConnectedLayer(16,Name="sp_fc1") reluLayer fullyConnectedLayer(1); softplusLayer(Name="sp_out") % non negative ]; % Assemble dlnetwork object. actorNet = dlnetwork; actorNet = addLayers(actorNet,inPath); actorNet = addLayers(actorNet,meanPath); actorNet = addLayers(actorNet,sdevPath); % Connect output of inPath to meanPath input. actorNet = connectLayers(actorNet,"ip_out","mp_fc1/in"); % Connect output of inPath to variancePath input. actorNet = connectLayers(actorNet,"ip_out","sp_fc1/in"); % Plot network. plot(actorNet)
% Initialize network. actorNet = initialize(actorNet); % Display the number of weights. summary(actorNet)
Initialized: true Number of learnables: 1.1k Inputs: 1 'obs_in' 2 features
Create the actor approximator object using actorNet
, the environment specifications, and the names of the network input and output layers as input arguments. For more information, on continuous Gaussian actors, see rlContinuousGaussianActor
.
actor = rlContinuousGaussianActor(actorNet, ... obsInfo,actInfo, ... ObservationInputNames="obs_in", ... ActionMeanOutputNames="mp_out", ... ActionStandardDeviationOutputNames="sp_out");
Check the actor with a random input observation.
getAction(actor,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[0.0963]}
Create the PG agent using the actor and the baseline critic.
agent = rlPGAgent(actor,baseline)
agent = rlPGAgent with properties: AgentOptions: [1x1 rl.option.rlPGAgentOptions] UseExplorationPolicy: 1 ObservationInfo: [1x1 rl.util.rlNumericSpec] ActionInfo: [1x1 rl.util.rlNumericSpec] SampleTime: 1
Specify options for the agent, including training options for the actor and critic.
agent.AgentOptions.UseBaseline = true; agent.AgentOptions.DiscountFactor = 0.99; agent.AgentOptions.CriticOptimizerOptions.LearnRate = 5e-3; agent.AgentOptions.CriticOptimizerOptions.GradientThreshold = 1; agent.AgentOptions.ActorOptimizerOptions.LearnRate = 5e-3; agent.AgentOptions.ActorOptimizerOptions.GradientThreshold = 1;
Check your agent with a random input observation.
getAction(agent,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[1.1197]}
You can now test and train the agent within the environment.
Create a Discrete PG Agent with Recurrent Neural Networks
For this example, load the environment used in the example Train PG Agent with Custom Networks to Control Discrete Double Integrator. The observation from the environment is a vector containing the position and velocity of a mass. The action is a scalar representing a force, applied to the mass, having three possible values (-2, 0, or 2 Newton).
env = rlPredefinedEnv("DoubleIntegrator-Discrete");
Get observation and specification information.
obsInfo = getObservationInfo(env); actInfo = getActionInfo(env);
Policy-gradient agents can optionally use a parametrized baseline function to approximate the value of the policy. To model the parametrized baseline function, use a recurrent neural network.
Define the network as an array of layer objects. To create a recurrent network, use a sequenceInputLayer
as the input layer and include at least one lstmLayer
.
baselineNet = [ sequenceInputLayer(prod(obsInfo.Dimension)) lstmLayer(32) reluLayer fullyConnectedLayer(1) ];
Convert to a dlnetwork
object and display the number of weights.
baselineNet = dlnetwork(baselineNet); summary(baselineNet)
Initialized: true Number of learnables: 4.5k Inputs: 1 'sequenceinput' Sequence input with 2 dimensions
Create the baseline approximator object using baselineNet
and the observation specification.
baseline = rlValueFunction(baselineNet,obsInfo);
Check the baseline critic with a random input observation.
getValue(baseline,{rand(obsInfo.Dimension)})
ans = single
-0.0065
Policy gradient agents use a parametrized stochastic policy, which for discrete action spaces is implemented by a discrete categorical actor.
A discrete categorical actor implements a parametrized stochastic policy for a discrete action space.
This actor takes an observation as input and returns as output a random action sampled (among the finite number of possible actions) from a categorical probability distribution.
Since the critic has a recurrent network, the actor must have a recurrent network too. The network must have with one input layer (which receives the content of the environment observation channel, as specified by obsInfo
) and one output layer. The output layer must return a vector of probabilities for each possible action, as specified by actInfo
.
Define the network as an array of layer objects.
actorNet = [ sequenceInputLayer(prod(obsInfo.Dimension)) lstmLayer(32) reluLayer fullyConnectedLayer(numel(actInfo.Elements)) ];
Convert to a dlnetwork
object and display the number of weights.
actorNet = dlnetwork(actorNet); summary(actorNet)
Initialized: true Number of learnables: 4.5k Inputs: 1 'sequenceinput' Sequence input with 2 dimensions
Create the actor using actorNet
and the observation and action specifications.
actor = rlDiscreteCategoricalActor(actorNet,obsInfo,actInfo);
Check the actor with a random observation input.
getAction(actor,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[0]}
Create a PG agent using the actor and the baseline network.
agent = rlPGAgent(actor,baseline)
agent = rlPGAgent with properties: AgentOptions: [1x1 rl.option.rlPGAgentOptions] UseExplorationPolicy: 1 ObservationInfo: [1x1 rl.util.rlNumericSpec] ActionInfo: [1x1 rl.util.rlFiniteSetSpec] SampleTime: 1
Check the agent with a random observation input.
getAction(agent,{rand(obsInfo.Dimension)})
ans = 1x1 cell array
{[0]}
To evaluate the agent using sequential observations, use the sequence length (time) dimension. For example, obtain actions for a sequence of 9
observations.
[action,state] = getAction(agent, ...
{rand([obsInfo.Dimension 1 9])});
Display the action corresponding to the seventh element of the observation.
action = action{1}; action(1,1,1,7)
ans = 0
You can now test and train the agent within the environment.
Tips
For continuous action spaces, the
rlPGAgent
agent does not enforce the constraints set by the action specification, so you must enforce action space constraints within the environment.
Version History
Introduced in R2019a
See Also
Apps
Functions
getAction
|getActor
|getCritic
|getModel
|generatePolicyFunction
|generatePolicyBlock
|getActionInfo
|getObservationInfo
Objects
rlPGAgentOptions
|rlAgentInitializationOptions
|rlQValueFunction
|rlDiscreteCategoricalActor
|rlContinuousGaussianActor
|rlACAgent
|rlDDPGAgent
Blocks
Comando de MATLAB
Ha hecho clic en un enlace que corresponde a este comando de MATLAB:
Ejecute el comando introduciéndolo en la ventana de comandos de MATLAB. Los navegadores web no admiten comandos de MATLAB.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .
You can also select a web site from the following list:
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.
Americas
- América Latina (Español)
- Canada (English)
- United States (English)
Europe
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)