TorchRL objectives: Coding a DDPG loss

Author: Vincent Moens

Overview

TorchRL separates the training of RL sota-implementations in various pieces that will be assembled in your training script: the environment, the data collection and storage, the model and finally the loss function.

TorchRL losses (or “objectives”) are stateful objects that contain the trainable parameters (policy and value models). This tutorial will guide you through the steps to code a loss from the ground up using TorchRL.

To this aim, we will be focusing on DDPG, which is a relatively straightforward algorithm to code. Deep Deterministic Policy Gradient (DDPG) is a simple continuous control algorithm. It consists in learning a parametric value function for an action-observation pair, and then learning a policy that outputs actions that maximize this value function given a certain observation.

What you will learn:

• how to write a loss module and customize its value estimator;

• how to build an environment in TorchRL, including transforms (for example, data normalization) and parallel execution;

• how to design a policy and value network;

• how to collect data from your environment efficiently and store them in a replay buffer;

• how to store trajectories (and not transitions) in your replay buffer);

• how to evaluate your model.

Prerequisites

This tutorial assumes that you have completed the PPO tutorial which gives an overview of the TorchRL components and dependencies, such as tensordict.TensorDict and tensordict.nn.TensorDictModules, although it should be sufficiently transparent to be understood without a deep understanding of these classes.

Note

We do not aim at giving a SOTA implementation of the algorithm, but rather to provide a high-level illustration of TorchRL’s loss implementations and the library features that are to be used in the context of this algorithm.

Imports and setup

%%bash
pip3 install torchrl mujoco glfw

import torch
import tqdm

We will execute the policy on CUDA if available

is_fork = multiprocessing.get_start_method() == "fork"
device = (
    torch.device(0)
    if torch.cuda.is_available() and not is_fork
    else torch.device("cpu")
)
collector_device = torch.device("cpu")  # Change the device to ``cuda`` to use CUDA

TorchRL LossModule

TorchRL provides a series of losses to use in your training scripts. The aim is to have losses that are easily reusable/swappable and that have a simple signature.

The main characteristics of TorchRL losses are:

• They are stateful objects: they contain a copy of the trainable parameters such that loss_module.parameters() gives whatever is needed to train the algorithm.

• They follow the TensorDict convention: the torch.nn.Module.forward() method will receive a TensorDict as input that contains all the necessary information to return a loss value.

  >>> data = replay_buffer.sample()
  >>> loss_dict = loss_module(data)
  

• They output a tensordict.TensorDict instance with the loss values written under a "loss_<smth>" where smth is a string describing the loss. Additional keys in the TensorDict may be useful metrics to log during training time.

  Note

  The reason we return independent losses is to let the user use a different optimizer for different sets of parameters for instance. Summing the losses can be simply done via

  >>> loss_val = sum(loss for key, loss in loss_dict.items() if key.startswith("loss_"))
  

The __init__ method

The parent class of all losses is LossModule. As many other components of the library, its forward() method expects as input a tensordict.TensorDict instance sampled from an experience replay buffer, or any similar data structure. Using this format makes it possible to re-use the module across modalities, or in complex settings where the model needs to read multiple entries for instance. In other words, it allows us to code a loss module that is oblivious to the data type that is being given to is and that focuses on running the elementary steps of the loss function and only those.

To keep the tutorial as didactic as we can, we’ll be displaying each method of the class independently and we’ll be populating the class at a later stage.

Let us start with the __init__() method. DDPG aims at solving a control task with a simple strategy: training a policy to output actions that maximize the value predicted by a value network. Hence, our loss module needs to receive two networks in its constructor: an actor and a value networks. We expect both of these to be TensorDict-compatible objects, such as tensordict.nn.TensorDictModule. Our loss function will need to compute a target value and fit the value network to this, and generate an action and fit the policy such that its value estimate is maximized.

The crucial step of the LossModule.__init__() method is the call to convert_to_functional(). This method will extract the parameters from the module and convert it to a functional module. Strictly speaking, this is not necessary and one may perfectly code all the losses without it. However, we encourage its usage for the following reason.

The reason TorchRL does this is that RL sota-implementations often execute the same model with different sets of parameters, called “trainable” and “target” parameters. The “trainable” parameters are those that the optimizer needs to fit. The “target” parameters are usually a copy of the former’s with some time lag (absolute or diluted through a moving average). These target parameters are used to compute the value associated with the next observation. One the advantages of using a set of target parameters for the value model that do not match exactly the current configuration is that they provide a pessimistic bound on the value function being computed. Pay attention to the create_target_params keyword argument below: this argument tells the convert_to_functional() method to create a set of target parameters in the loss module to be used for target value computation. If this is set to False (see the actor network for instance) the target_actor_network_params attribute will still be accessible but this will just return a detached version of the actor parameters.

Later, we will see how the target parameters should be updated in TorchRL.

from tensordict.nn import TensorDictModule


def _init(
    self,
    actor_network: TensorDictModule,
    value_network: TensorDictModule,
) -> None:
    super(type(self), self).__init__()

    self.convert_to_functional(
        actor_network,
        "actor_network",
        create_target_params=True,
    )
    self.convert_to_functional(
        value_network,
        "value_network",
        create_target_params=True,
        compare_against=list(actor_network.parameters()),
    )

    self.actor_in_keys = actor_network.in_keys

    # Since the value we'll be using is based on the actor and value network,
    # we put them together in a single actor-critic container.
    actor_critic = ActorCriticWrapper(actor_network, value_network)
    self.actor_critic = actor_critic
    self.loss_function = "l2"

The value estimator loss method

In many RL algorithm, the value network (or Q-value network) is trained based on an empirical value estimate. This can be bootstrapped (TD(0), low variance, high bias), meaning that the target value is obtained using the next reward and nothing else, or a Monte-Carlo estimate can be obtained (TD(1)) in which case the whole sequence of upcoming rewards will be used (high variance, low bias). An intermediate estimator (TD(\(\lambda\))) can also be used to compromise bias and variance. TorchRL makes it easy to use one or the other estimator via the ValueEstimators Enum class, which contains pointers to all the value estimators implemented. Let us define the default value function here. We will take the simplest version (TD(0)), and show later on how this can be changed.

from torchrl.objectives.utils import ValueEstimators

default_value_estimator = ValueEstimators.TD0

We also need to give some instructions to DDPG on how to build the value estimator, depending on the user query. Depending on the estimator provided, we will build the corresponding module to be used at train time:

from torchrl.objectives.utils import default_value_kwargs
from torchrl.objectives.value import TD0Estimator, TD1Estimator, TDLambdaEstimator


def make_value_estimator(self, value_type: ValueEstimators, **hyperparams):
    hp = dict(default_value_kwargs(value_type))
    if hasattr(self, "gamma"):
        hp["gamma"] = self.gamma
    hp.update(hyperparams)
    value_key = "state_action_value"
    if value_type == ValueEstimators.TD1:
        self._value_estimator = TD1Estimator(value_network=self.actor_critic, **hp)
    elif value_type == ValueEstimators.TD0:
        self._value_estimator = TD0Estimator(value_network=self.actor_critic, **hp)
    elif value_type == ValueEstimators.GAE:
        raise NotImplementedError(
            f"Value type {value_type} it not implemented for loss {type(self)}."
        )
    elif value_type == ValueEstimators.TDLambda:
        self._value_estimator = TDLambdaEstimator(value_network=self.actor_critic, **hp)
    else:
        raise NotImplementedError(f"Unknown value type {value_type}")
    self._value_estimator.set_keys(value=value_key)

The make_value_estimator method can but does not need to be called: ifgg not, the LossModule will query this method with its default estimator.

The actor loss method

The central piece of an RL algorithm is the training loss for the actor. In the case of DDPG, this function is quite simple: we just need to compute the value associated with an action computed using the policy and optimize the actor weights to maximize this value.

When computing this value, we must make sure to take the value parameters out of the graph, otherwise the actor and value loss will be mixed up. For this, the hold_out_params() function can be used.

def _loss_actor(
    self,
    tensordict,
) -> torch.Tensor:
    td_copy = tensordict.select(*self.actor_in_keys)
    # Get an action from the actor network: since we made it functional, we need to pass the params
    with self.actor_network_params.to_module(self.actor_network):
        td_copy = self.actor_network(td_copy)
    # get the value associated with that action
    with self.value_network_params.detach().to_module(self.value_network):
        td_copy = self.value_network(td_copy)
    return -td_copy.get("state_action_value")

The value loss method

We now need to optimize our value network parameters. To do this, we will rely on the value estimator of our class:

from torchrl.objectives.utils import distance_loss


def _loss_value(
    self,
    tensordict,
):
    td_copy = tensordict.clone()

    # V(s, a)
    with self.value_network_params.to_module(self.value_network):
        self.value_network(td_copy)
    pred_val = td_copy.get("state_action_value").squeeze(-1)

    # we manually reconstruct the parameters of the actor-critic, where the first
    # set of parameters belongs to the actor and the second to the value function.
    target_params = TensorDict(
        {
            "module": {
                "0": self.target_actor_network_params,
                "1": self.target_value_network_params,
            }
        },
        batch_size=self.target_actor_network_params.batch_size,
        device=self.target_actor_network_params.device,
    )
    with target_params.to_module(self.actor_critic):
        target_value = self.value_estimator.value_estimate(tensordict).squeeze(-1)

    # Computes the value loss: L2, L1 or smooth L1 depending on `self.loss_function`
    loss_value = distance_loss(pred_val, target_value, loss_function=self.loss_function)
    td_error = (pred_val - target_value).pow(2)

    return loss_value, td_error, pred_val, target_value

Putting things together in a forward call

The only missing piece is the forward method, which will glue together the value and actor loss, collect the cost values and write them in a TensorDict delivered to the user.

from tensordict import TensorDict, TensorDictBase


def _forward(self, input_tensordict: TensorDictBase) -> TensorDict:
    loss_value, td_error, pred_val, target_value = self.loss_value(
        input_tensordict,
    )
    td_error = td_error.detach()
    td_error = td_error.unsqueeze(input_tensordict.ndimension())
    if input_tensordict.device is not None:
        td_error = td_error.to(input_tensordict.device)
    input_tensordict.set(
        "td_error",
        td_error,
        inplace=True,
    )
    loss_actor = self.loss_actor(input_tensordict)
    return TensorDict(
        source={
            "loss_actor": loss_actor.mean(),
            "loss_value": loss_value.mean(),
            "pred_value": pred_val.mean().detach(),
            "target_value": target_value.mean().detach(),
            "pred_value_max": pred_val.max().detach(),
            "target_value_max": target_value.max().detach(),
        },
        batch_size=[],
    )


from torchrl.objectives import LossModule


class DDPGLoss(LossModule):
    default_value_estimator = default_value_estimator
    make_value_estimator = make_value_estimator

    __init__ = _init
    forward = _forward
    loss_value = _loss_value
    loss_actor = _loss_actor

Now that we have our loss, we can use it to train a policy to solve a control task.

Environment

In most sota-implementations, the first thing that needs to be taken care of is the construction of the environment as it conditions the remainder of the training script.

For this example, we will be using the "cheetah" task. The goal is to make a half-cheetah run as fast as possible.

In TorchRL, one can create such a task by relying on dm_control or gym:

env = GymEnv("HalfCheetah-v4")

or

env = DMControlEnv("cheetah", "run")

By default, these environment disable rendering. Training from states is usually easier than training from images. To keep things simple, we focus on learning from states only. To pass the pixels to the tensordicts that are collected by env.step(), simply pass the from_pixels=True argument to the constructor:

env = GymEnv("HalfCheetah-v4", from_pixels=True, pixels_only=True)

We write a make_env() helper function that will create an environment with either one of the two backends considered above (dm-control or gym).

from torchrl.envs.libs.dm_control import DMControlEnv
from torchrl.envs.libs.gym import GymEnv

env_library = None
env_name = None


def make_env(from_pixels=False):
    """Create a base ``env``."""
    global env_library
    global env_name

    if backend == "dm_control":
        env_name = "cheetah"
        env_task = "run"
        env_args = (env_name, env_task)
        env_library = DMControlEnv
    elif backend == "gym":
        env_name = "HalfCheetah-v4"
        env_args = (env_name,)
        env_library = GymEnv
    else:
        raise NotImplementedError

    env_kwargs = {
        "device": device,
        "from_pixels": from_pixels,
        "pixels_only": from_pixels,
        "frame_skip": 2,
    }
    env = env_library(*env_args, **env_kwargs)
    return env

Transforms

Now that we have a base environment, we may want to modify its representation to make it more policy-friendly. In TorchRL, transforms are appended to the base environment in a specialized torchr.envs.TransformedEnv class.

• It is common in DDPG to rescale the reward using some heuristic value. We will multiply the reward by 5 in this example.

• If we are using dm_control, it is also important to build an interface between the simulator which works with double precision numbers, and our script which presumably uses single precision ones. This transformation goes both ways: when calling env.step(), our actions will need to be represented in double precision, and the output will need to be transformed to single precision. The DoubleToFloat transform does exactly this: the in_keys list refers to the keys that will need to be transformed from double to float, while the in_keys_inv refers to those that need to be transformed to double before being passed to the environment.

• We concatenate the state keys together using the CatTensors transform.

• Finally, we also leave the possibility of normalizing the states: we will take care of computing the normalizing constants later on.

from torchrl.envs import (
    CatTensors,
    DoubleToFloat,
    EnvCreator,
    InitTracker,
    ObservationNorm,
    ParallelEnv,
    RewardScaling,
    StepCounter,
    TransformedEnv,
)


def make_transformed_env(
    env,
):
    """Apply transforms to the ``env`` (such as reward scaling and state normalization)."""

    env = TransformedEnv(env)

    # we append transforms one by one, although we might as well create the
    # transformed environment using the `env = TransformedEnv(base_env, transforms)`
    # syntax.
    env.append_transform(RewardScaling(loc=0.0, scale=reward_scaling))

    # We concatenate all states into a single "observation_vector"
    # even if there is a single tensor, it'll be renamed in "observation_vector".
    # This facilitates the downstream operations as we know the name of the
    # output tensor.
    # In some environments (not half-cheetah), there may be more than one
    # observation vector: in this case this code snippet will concatenate them
    # all.
    selected_keys = list(env.observation_spec.keys())
    out_key = "observation_vector"
    env.append_transform(CatTensors(in_keys=selected_keys, out_key=out_key))

    # we normalize the states, but for now let's just instantiate a stateless
    # version of the transform
    env.append_transform(ObservationNorm(in_keys=[out_key], standard_normal=True))

    env.append_transform(DoubleToFloat())

    env.append_transform(StepCounter(max_frames_per_traj))

    # We need a marker for the start of trajectories for our Ornstein-Uhlenbeck (OU)
    # exploration:
    env.append_transform(InitTracker())

    return env

Parallel execution

The following helper function allows us to run environments in parallel. Running environments in parallel can significantly speed up the collection throughput. When using transformed environment, we need to choose whether we want to execute the transform individually for each environment, or centralize the data and transform it in batch. Both approaches are easy to code:

env = ParallelEnv(
    lambda: TransformedEnv(GymEnv("HalfCheetah-v4"), transforms),
    num_workers=4
)
env = TransformedEnv(
    ParallelEnv(lambda: GymEnv("HalfCheetah-v4"), num_workers=4),
    transforms
)

To leverage the vectorization capabilities of PyTorch, we adopt the first method:

def parallel_env_constructor(
    env_per_collector,
    transform_state_dict,
):
    if env_per_collector == 1:

        def make_t_env():
            env = make_transformed_env(make_env())
            env.transform[2].init_stats(3)
            env.transform[2].loc.copy_(transform_state_dict["loc"])
            env.transform[2].scale.copy_(transform_state_dict["scale"])
            return env

        env_creator = EnvCreator(make_t_env)
        return env_creator

    parallel_env = ParallelEnv(
        num_workers=env_per_collector,
        create_env_fn=EnvCreator(lambda: make_env()),
        create_env_kwargs=None,
        pin_memory=False,
    )
    env = make_transformed_env(parallel_env)
    # we call `init_stats` for a limited number of steps, just to instantiate
    # the lazy buffers.
    env.transform[2].init_stats(3, cat_dim=1, reduce_dim=[0, 1])
    env.transform[2].load_state_dict(transform_state_dict)
    return env


# The backend can be ``gym`` or ``dm_control``
backend = "gym"

Note

frame_skip batches multiple step together with a single action If > 1, the other frame counts (for example, frames_per_batch, total_frames) need to be adjusted to have a consistent total number of frames collected across experiments. This is important as raising the frame-skip but keeping the total number of frames unchanged may seem like cheating: all things compared, a dataset of 10M elements collected with a frame-skip of 2 and another with a frame-skip of 1 actually have a ratio of interactions with the environment of 2:1! In a nutshell, one should be cautious about the frame-count of a training script when dealing with frame skipping as this may lead to biased comparisons between training strategies.

Scaling the reward helps us control the signal magnitude for a more efficient learning.

reward_scaling = 5.0

We also define when a trajectory will be truncated. A thousand steps (500 if frame-skip = 2) is a good number to use for the cheetah task:

max_frames_per_traj = 500

Normalization of the observations

To compute the normalizing statistics, we run an arbitrary number of random steps in the environment and compute the mean and standard deviation of the collected observations. The ObservationNorm.init_stats() method can be used for this purpose. To get the summary statistics, we create a dummy environment and run it for a given number of steps, collect data over a given number of steps and compute its summary statistics.

def get_env_stats():
    """Gets the stats of an environment."""
    proof_env = make_transformed_env(make_env())
    t = proof_env.transform[2]
    t.init_stats(init_env_steps)
    transform_state_dict = t.state_dict()
    proof_env.close()
    return transform_state_dict

Normalization stats

Number of random steps used as for stats computation using ObservationNorm

init_env_steps = 5000

transform_state_dict = get_env_stats()

Number of environments in each data collector

env_per_collector = 4

We pass the stats computed earlier to normalize the output of our environment:

parallel_env = parallel_env_constructor(
    env_per_collector=env_per_collector,
    transform_state_dict=transform_state_dict,
)


from torchrl.data import CompositeSpec

Building the model

We now turn to the setup of the model. As we have seen, DDPG requires a value network, trained to estimate the value of a state-action pair, and a parametric actor that learns how to select actions that maximize this value.

Recall that building a TorchRL module requires two steps:

• writing the torch.nn.Module that will be used as network,

• wrapping the network in a tensordict.nn.TensorDictModule where the data flow is handled by specifying the input and output keys.

In more complex scenarios, tensordict.nn.TensorDictSequential can also be used.

The Q-Value network is wrapped in a ValueOperator that automatically sets the out_keys to "state_action_value for q-value networks and state_value for other value networks.

TorchRL provides a built-in version of the DDPG networks as presented in the original paper. These can be found under DdpgMlpActor and DdpgMlpQNet.

Since we use lazy modules, it is necessary to materialize the lazy modules before being able to move the policy from device to device and achieve other operations. Hence, it is good practice to run the modules with a small sample of data. For this purpose, we generate fake data from the environment specs.

from torchrl.modules import (
    ActorCriticWrapper,
    DdpgMlpActor,
    DdpgMlpQNet,
    OrnsteinUhlenbeckProcessWrapper,
    ProbabilisticActor,
    TanhDelta,
    ValueOperator,
)


def make_ddpg_actor(
    transform_state_dict,
    device="cpu",
):
    proof_environment = make_transformed_env(make_env())
    proof_environment.transform[2].init_stats(3)
    proof_environment.transform[2].load_state_dict(transform_state_dict)

    out_features = proof_environment.action_spec.shape[-1]

    actor_net = DdpgMlpActor(
        action_dim=out_features,
    )

    in_keys = ["observation_vector"]
    out_keys = ["param"]

    actor = TensorDictModule(
        actor_net,
        in_keys=in_keys,
        out_keys=out_keys,
    )

    actor = ProbabilisticActor(
        actor,
        distribution_class=TanhDelta,
        in_keys=["param"],
        spec=CompositeSpec(action=proof_environment.action_spec),
    ).to(device)

    q_net = DdpgMlpQNet()

    in_keys = in_keys + ["action"]
    qnet = ValueOperator(
        in_keys=in_keys,
        module=q_net,
    ).to(device)

    # initialize lazy modules
    qnet(actor(proof_environment.reset().to(device)))
    return actor, qnet


actor, qnet = make_ddpg_actor(
    transform_state_dict=transform_state_dict,
    device=device,
)

Exploration

The policy is wrapped in a OrnsteinUhlenbeckProcessWrapper exploration module, as suggested in the original paper. Let’s define the number of frames before OU noise reaches its minimum value

annealing_frames = 1_000_000

actor_model_explore = OrnsteinUhlenbeckProcessWrapper(
    actor,
    annealing_num_steps=annealing_frames,
).to(device)
if device == torch.device("cpu"):
    actor_model_explore.share_memory()

Data collector

TorchRL provides specialized classes to help you collect data by executing the policy in the environment. These “data collectors” iteratively compute the action to be executed at a given time, then execute a step in the environment and reset it when required. Data collectors are designed to help developers have a tight control on the number of frames per batch of data, on the (a)sync nature of this collection and on the resources allocated to the data collection (for example GPU, number of workers, and so on).

Here we will use SyncDataCollector, a simple, single-process data collector. TorchRL offers other collectors, such as MultiaSyncDataCollector, which executed the rollouts in an asynchronous manner (for example, data will be collected while the policy is being optimized, thereby decoupling the training and data collection).

The parameters to specify are:

• an environment factory or an environment,

• the policy,

• the total number of frames before the collector is considered empty,

• the maximum number of frames per trajectory (useful for non-terminating environments, like dm_control ones).

  Note

  The max_frames_per_traj passed to the collector will have the effect of registering a new StepCounter transform with the environment used for inference. We can achieve the same result manually, as we do in this script.

One should also pass:

• the number of frames in each batch collected,

• the number of random steps executed independently from the policy,

• the devices used for policy execution

• the devices used to store data before the data is passed to the main process.

The total frames we will use during training should be around 1M.

total_frames = 10_000  # 1_000_000

The number of frames returned by the collector at each iteration of the outer loop is equal to the length of each sub-trajectories times the number of environments run in parallel in each collector.

In other words, we expect batches from the collector to have a shape [env_per_collector, traj_len] where traj_len=frames_per_batch/env_per_collector:

traj_len = 200
frames_per_batch = env_per_collector * traj_len
init_random_frames = 5000
num_collectors = 2

from torchrl.collectors import SyncDataCollector
from torchrl.envs import ExplorationType

collector = SyncDataCollector(
    parallel_env,
    policy=actor_model_explore,
    total_frames=total_frames,
    frames_per_batch=frames_per_batch,
    init_random_frames=init_random_frames,
    reset_at_each_iter=False,
    split_trajs=False,
    device=collector_device,
    exploration_type=ExplorationType.RANDOM,
)

Evaluator: building your recorder object

As the training data is obtained using some exploration strategy, the true performance of our algorithm needs to be assessed in deterministic mode. We do this using a dedicated class, Recorder, which executes the policy in the environment at a given frequency and returns some statistics obtained from these simulations.

The following helper function builds this object:

from torchrl.trainers import Recorder


def make_recorder(actor_model_explore, transform_state_dict, record_interval):
    base_env = make_env()
    environment = make_transformed_env(base_env)
    environment.transform[2].init_stats(
        3
    )  # must be instantiated to load the state dict
    environment.transform[2].load_state_dict(transform_state_dict)

    recorder_obj = Recorder(
        record_frames=1000,
        policy_exploration=actor_model_explore,
        environment=environment,
        exploration_type=ExplorationType.MEAN,
        record_interval=record_interval,
    )
    return recorder_obj

We will be recording the performance every 10 batch collected

record_interval = 10

recorder = make_recorder(
    actor_model_explore, transform_state_dict, record_interval=record_interval
)

from torchrl.data.replay_buffers import (
    LazyMemmapStorage,
    PrioritizedSampler,
    RandomSampler,
    TensorDictReplayBuffer,
)

Replay buffer

Replay buffers come in two flavors: prioritized (where some error signal is used to give a higher likelihood of sampling to some items than others) and regular, circular experience replay.

TorchRL replay buffers are composable: one can pick up the storage, sampling and writing strategies. It is also possible to store tensors on physical memory using a memory-mapped array. The following function takes care of creating the replay buffer with the desired hyperparameters:

from torchrl.envs import RandomCropTensorDict


def make_replay_buffer(buffer_size, batch_size, random_crop_len, prefetch=3, prb=False):
    if prb:
        sampler = PrioritizedSampler(
            max_capacity=buffer_size,
            alpha=0.7,
            beta=0.5,
        )
    else:
        sampler = RandomSampler()
    replay_buffer = TensorDictReplayBuffer(
        storage=LazyMemmapStorage(
            buffer_size,
            scratch_dir=buffer_scratch_dir,
        ),
        batch_size=batch_size,
        sampler=sampler,
        pin_memory=False,
        prefetch=prefetch,
        transform=RandomCropTensorDict(random_crop_len, sample_dim=1),
    )
    return replay_buffer

We’ll store the replay buffer in a temporary directory on disk

import tempfile

tmpdir = tempfile.TemporaryDirectory()
buffer_scratch_dir = tmpdir.name

Replay buffer storage and batch size

TorchRL replay buffer counts the number of elements along the first dimension. Since we’ll be feeding trajectories to our buffer, we need to adapt the buffer size by dividing it by the length of the sub-trajectories yielded by our data collector. Regarding the batch-size, our sampling strategy will consist in sampling trajectories of length traj_len=200 before selecting sub-trajectories or length random_crop_len=25 on which the loss will be computed. This strategy balances the choice of storing whole trajectories of a certain length with the need for providing samples with a sufficient heterogeneity to our loss. The following figure shows the dataflow from a collector that gets 8 frames in each batch with 2 environments run in parallel, feeds them to a replay buffer that contains 1000 trajectories and samples sub-trajectories of 2 time steps each.

Let’s start with the number of frames stored in the buffer

def ceil_div(x, y):
    return -x // (-y)


buffer_size = 1_000_000
buffer_size = ceil_div(buffer_size, traj_len)

Prioritized replay buffer is disabled by default

prb = False

We also need to define how many updates we’ll be doing per batch of data collected. This is known as the update-to-data or UTD ratio:

update_to_data = 64

We’ll be feeding the loss with trajectories of length 25:

random_crop_len = 25

In the original paper, the authors perform one update with a batch of 64 elements for each frame collected. Here, we reproduce the same ratio but while realizing several updates at each batch collection. We adapt our batch-size to achieve the same number of update-per-frame ratio:

batch_size = ceil_div(64 * frames_per_batch, update_to_data * random_crop_len)

replay_buffer = make_replay_buffer(
    buffer_size=buffer_size,
    batch_size=batch_size,
    random_crop_len=random_crop_len,
    prefetch=3,
    prb=prb,
)

Loss module construction

We build our loss module with the actor and qnet we’ve just created. Because we have target parameters to update, we _must_ create a target network updater.

gamma = 0.99
lmbda = 0.9
tau = 0.001  # Decay factor for the target network

loss_module = DDPGLoss(actor, qnet)

let’s use the TD(lambda) estimator!

loss_module.make_value_estimator(ValueEstimators.TDLambda, gamma=gamma, lmbda=lmbda)

Note

Off-policy usually dictates a TD(0) estimator. Here, we use a TD(\(\lambda\)) estimator, which will introduce some bias as the trajectory that follows a certain state has been collected with an outdated policy. This trick, as the multi-step trick that can be used during data collection, are alternative versions of “hacks” that we usually find to work well in practice despite the fact that they introduce some bias in the return estimates.

Target network updater

Target networks are a crucial part of off-policy RL sota-implementations. Updating the target network parameters is made easy thanks to the HardUpdate and SoftUpdate classes. They’re built with the loss module as argument, and the update is achieved via a call to updater.step() at the appropriate location in the training loop.

from torchrl.objectives.utils import SoftUpdate

target_net_updater = SoftUpdate(loss_module, eps=1 - tau)

Optimizer

Finally, we will use the Adam optimizer for the policy and value network:

from torch import optim

optimizer_actor = optim.Adam(
    loss_module.actor_network_params.values(True, True), lr=1e-4, weight_decay=0.0
)
optimizer_value = optim.Adam(
    loss_module.value_network_params.values(True, True), lr=1e-3, weight_decay=1e-2
)
total_collection_steps = total_frames // frames_per_batch

Time to train the policy

The training loop is pretty straightforward now that we have built all the modules we need.

rewards = []
rewards_eval = []

# Main loop

collected_frames = 0
pbar = tqdm.tqdm(total=total_frames)
r0 = None
for i, tensordict in enumerate(collector):

    # update weights of the inference policy
    collector.update_policy_weights_()

    if r0 is None:
        r0 = tensordict["next", "reward"].mean().item()
    pbar.update(tensordict.numel())

    # extend the replay buffer with the new data
    current_frames = tensordict.numel()
    collected_frames += current_frames
    replay_buffer.extend(tensordict.cpu())

    # optimization steps
    if collected_frames >= init_random_frames:
        for _ in range(update_to_data):
            # sample from replay buffer
            sampled_tensordict = replay_buffer.sample().to(device)

            # Compute loss
            loss_dict = loss_module(sampled_tensordict)

            # optimize
            loss_dict["loss_actor"].backward()
            gn1 = torch.nn.utils.clip_grad_norm_(
                loss_module.actor_network_params.values(True, True), 10.0
            )
            optimizer_actor.step()
            optimizer_actor.zero_grad()

            loss_dict["loss_value"].backward()
            gn2 = torch.nn.utils.clip_grad_norm_(
                loss_module.value_network_params.values(True, True), 10.0
            )
            optimizer_value.step()
            optimizer_value.zero_grad()

            gn = (gn1**2 + gn2**2) ** 0.5

            # update priority
            if prb:
                replay_buffer.update_tensordict_priority(sampled_tensordict)
            # update target network
            target_net_updater.step()

    rewards.append(
        (
            i,
            tensordict["next", "reward"].mean().item(),
        )
    )
    td_record = recorder(None)
    if td_record is not None:
        rewards_eval.append((i, td_record["r_evaluation"].item()))
    if len(rewards_eval) and collected_frames >= init_random_frames:
        target_value = loss_dict["target_value"].item()
        loss_value = loss_dict["loss_value"].item()
        loss_actor = loss_dict["loss_actor"].item()
        rn = sampled_tensordict["next", "reward"].mean().item()
        rs = sampled_tensordict["next", "reward"].std().item()
        pbar.set_description(
            f"reward: {rewards[-1][1]: 4.2f} (r0 = {r0: 4.2f}), "
            f"reward eval: reward: {rewards_eval[-1][1]: 4.2f}, "
            f"reward normalized={rn :4.2f}/{rs :4.2f}, "
            f"grad norm={gn: 4.2f}, "
            f"loss_value={loss_value: 4.2f}, "
            f"loss_actor={loss_actor: 4.2f}, "
            f"target value: {target_value: 4.2f}"
        )

    # update the exploration strategy
    actor_model_explore.step(current_frames)

collector.shutdown()
del collector

  0%|          | 0/10000 [00:00<?, ?it/s]
  8%|▊         | 800/10000 [00:00<00:02, 3341.44it/s]
 16%|█▌        | 1600/10000 [00:01<00:08, 972.21it/s]
 24%|██▍       | 2400/10000 [00:01<00:05, 1450.21it/s]
 32%|███▏      | 3200/10000 [00:01<00:03, 1892.96it/s]
 40%|████      | 4000/10000 [00:02<00:02, 2269.56it/s]
 48%|████▊     | 4800/10000 [00:02<00:02, 2582.90it/s]
 56%|█████▌    | 5600/10000 [00:02<00:01, 2831.95it/s]
reward: -2.79 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.48/5.85, grad norm= 55.29, loss_value= 313.46, loss_actor= 16.18, target value: -17.03:  56%|█████▌    | 5600/10000 [00:04<00:01, 2831.95it/s]
reward: -2.79 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.48/5.85, grad norm= 55.29, loss_value= 313.46, loss_actor= 16.18, target value: -17.03:  64%|██████▍   | 6400/10000 [00:04<00:04, 853.52it/s]
reward: -1.87 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.68/5.85, grad norm= 202.05, loss_value= 304.94, loss_actor= 13.16, target value: -17.24:  64%|██████▍   | 6400/10000 [00:06<00:04, 853.52it/s]
reward: -1.87 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.68/5.85, grad norm= 202.05, loss_value= 304.94, loss_actor= 13.16, target value: -17.24:  72%|███████▏  | 7200/10000 [00:07<00:05, 535.98it/s]
reward: -5.27 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.96/5.83, grad norm= 215.11, loss_value= 276.88, loss_actor= 17.72, target value: -20.46:  72%|███████▏  | 7200/10000 [00:09<00:05, 535.98it/s]
reward: -5.27 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.96/5.83, grad norm= 215.11, loss_value= 276.88, loss_actor= 17.72, target value: -20.46:  80%|████████  | 8000/10000 [00:10<00:04, 429.53it/s]
reward: -5.04 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.68/5.49, grad norm= 94.22, loss_value= 189.84, loss_actor= 15.74, target value: -17.99:  80%|████████  | 8000/10000 [00:11<00:04, 429.53it/s]
reward: -5.04 (r0 = -1.96), reward eval: reward: -0.00, reward normalized=-2.68/5.49, grad norm= 94.22, loss_value= 189.84, loss_actor= 15.74, target value: -17.99:  88%|████████▊ | 8800/10000 [00:12<00:03, 388.35it/s]
reward: -1.05 (r0 = -1.96), reward eval: reward:  2.85, reward normalized=-2.68/4.91, grad norm= 88.90, loss_value= 153.33, loss_actor= 14.20, target value: -19.37:  88%|████████▊ | 8800/10000 [00:15<00:03, 388.35it/s]
reward: -1.05 (r0 = -1.96), reward eval: reward:  2.85, reward normalized=-2.68/4.91, grad norm= 88.90, loss_value= 153.33, loss_actor= 14.20, target value: -19.37:  96%|█████████▌| 9600/10000 [00:16<00:01, 313.88it/s]
reward:  0.95 (r0 = -1.96), reward eval: reward:  2.85, reward normalized=-2.82/5.52, grad norm= 122.12, loss_value= 198.87, loss_actor= 14.87, target value: -19.42:  96%|█████████▌| 9600/10000 [00:18<00:01, 313.88it/s]
reward:  0.95 (r0 = -1.96), reward eval: reward:  2.85, reward normalized=-2.82/5.52, grad norm= 122.12, loss_value= 198.87, loss_actor= 14.87, target value: -19.42: : 10400it [00:19, 296.66it/s]
reward: -5.00 (r0 = -1.96), reward eval: reward:  2.85, reward normalized=-2.38/4.70, grad norm= 135.29, loss_value= 136.95, loss_actor= 19.89, target value: -17.72: : 10400it [00:21, 296.66it/s]

Experiment results

We make a simple plot of the average rewards during training. We can observe that our policy learned quite well to solve the task.

Note

As already mentioned above, to get a more reasonable performance, use a greater value for total_frames for example, 1M.

from matplotlib import pyplot as plt

plt.figure()
plt.plot(*zip(*rewards), label="training")
plt.plot(*zip(*rewards_eval), label="eval")
plt.legend()
plt.xlabel("iter")
plt.ylabel("reward")
plt.tight_layout()

Conclusion

In this tutorial, we have learned how to code a loss module in TorchRL given the concrete example of DDPG.

The key takeaways are:

• How to use the LossModule class to code up a new loss component;

• How to use (or not) a target network, and how to update its parameters;

• How to create an optimizer associated with a loss module.

Next Steps

To iterate further on this loss module we might consider:

• Using @dispatch (see [Feature] Distpatch IQL loss module.)

• Allowing flexible TensorDict keys.

Estimated memory usage: 18 MB