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# Categorical DQN (C51) Benchmark | ||
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This repository contains instructions to reproduce our DQN experiments. | ||
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Prerequisites: | ||
* Python 3.8+ | ||
* [Poetry](https://python-poetry.org) | ||
* [GitHub CLI](https://cli.github.com/) | ||
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## Reproducing CleanRL's Categorical DQN (C51) Benchmark | ||
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### Classic Control | ||
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```bash | ||
git clone https://github.com/vwxyzjn/cleanrl.git && cd cleanrl | ||
gh pr checkout 157 | ||
poetry install | ||
bash benchmark/c51/classic_control.sh | ||
``` | ||
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Note that you may need to overwrite the `--wandb-entity cleanrl` to your own W&B entity, in case you have not obtained access to the `cleanrl/openbenchmark` project. | ||
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### Atari games | ||
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```bash | ||
git clone https://github.com/vwxyzjn/cleanrl.git && cd cleanrl | ||
gh pr checkout 159 | ||
poetry install | ||
poetry install -E atari | ||
bash benchmark/c51/atari.sh | ||
``` | ||
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Note that you may need to overwrite the `--wandb-entity cleanrl` to your own W&B entity, in case you have not obtained access to the `cleanrl/openbenchmark` project. |
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# PongNoFrameskip-v4 | ||
poetry run python cleanrl/c51_atari.py --env-id PongNoFrameskip-v4 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id PongNoFrameskip-v4 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id PongNoFrameskip-v4 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
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# BeamRiderNoFrameskip-v4 | ||
poetry run python cleanrl/c51_atari.py --env-id BeamRiderNoFrameskip-v4 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id BeamRiderNoFrameskip-v4 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id BeamRiderNoFrameskip-v4 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
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# BreakoutNoFrameskip-v4 | ||
poetry run python cleanrl/c51_atari.py --env-id BreakoutNoFrameskip-v4 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id BreakoutNoFrameskip-v4 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51_atari.py --env-id BreakoutNoFrameskip-v4 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark |
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# CartPole-v1 | ||
poetry run python cleanrl/c51.py --env-id CartPole-v1 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id CartPole-v1 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id CartPole-v1 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
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# Acrobot-v1 | ||
poetry run python cleanrl/c51.py --env-id Acrobot-v1 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id Acrobot-v1 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id Acrobot-v1 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
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# MountainCar-v0 | ||
poetry run python cleanrl/c51.py --env-id MountainCar-v0 --track --capture-video --seed 1 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id MountainCar-v0 --track --capture-video --seed 2 --wandb-project-name cleanrl --wandb-entity openrlbenchmark | ||
poetry run python cleanrl/c51.py --env-id MountainCar-v0 --track --capture-video --seed 3 --wandb-project-name cleanrl --wandb-entity openrlbenchmark |
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# Categorical DQN (C51) | ||
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## Overview | ||
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C51 introduces a distributional perspective for DQN: instead of learning a single value for an action, C51 learns to predict a distribution of values for the action. Empirically, C51 demonstrates impressive performance in ALE. | ||
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Original papers: | ||
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* [A Distributional Perspective on Reinforcement Learning](https://arxiv.org/abs/1707.06887) | ||
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## Implemented Variants | ||
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| Variants Implemented | Description | | ||
| ----------- | ----------- | | ||
| :material-github: [`c51_atari.py`](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51_atari.py), :material-file-document: [docs](/rl-algorithms/c51/#c51_ataripy) | For playing Atari games. It uses convolutional layers and common atari-based pre-processing techniques. | | ||
| :material-github: [`c51.py`](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51.py), :material-file-document: [docs](/rl-algorithms/c51/#c51py) | For classic control tasks like `CartPole-v1`. | | ||
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Below are our single-file implementations of C51: | ||
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## `c51_atari.py` | ||
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The [c51_atari.py](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51_atari.py) has the following features: | ||
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* For playing Atari games. It uses convolutional layers and common atari-based pre-processing techniques. | ||
* Works with the Atari's pixel `Box` observation space of shape `(210, 160, 3)` | ||
* Works with the `Discrete` action space | ||
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### Usage | ||
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```bash | ||
poetry install -E atari | ||
python cleanrl/c51_atari.py --env-id BreakoutNoFrameskip-v4 | ||
python cleanrl/c51_atari.py --env-id PongNoFrameskip-v4 | ||
``` | ||
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### Explanation of the logged metrics | ||
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Running `python cleanrl/c51_atari.py` will automatically record various metrics such as actor or value losses in Tensorboard. Below is the documentation for these metrics: | ||
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* `charts/episodic_return`: episodic return of the game | ||
* `charts/SPS`: number of steps per second | ||
* `losses/loss`: the cross entropy loss between the $t$ step state value distribution and the projected $t+1$ step state value distribution | ||
* `losses/q_values`: implemented as `(old_pmfs * q_network.atoms).sum(1)`, which is the sum of the probability of getting returns $x$ (`old_pmfs`) multiplied by $x$ (`q_network.atoms`), averaged over the sample obtained from the replay buffer; useful when gauging if under or over estimation happens | ||
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### Implementation details | ||
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[c51_atari.py](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51_atari.py) is based on (Bellemare et al., 2017)[^1] but presents a few implementation differences: | ||
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1. (Bellemare et al., 2017)[^1] injects stochaticity by doing "on each frame the environment rejects the agent’s selected action with probability $p = 0.25$", but `c51_atari.py` does not do this | ||
1. `c51_atari.py` use a self-contained evaluation scheme: `c51_atari.py` reports the episodic returns obtained throughout training, whereas (Bellemare et al., 2017)[^1] is trained with `--end-e=0.01` but reported episodic returns using a separate evaluation process with `--end-e=0.001` (See "5.2. State-of-the-Art Results" on page 7). | ||
1. `c51_atari.py` rescales the gradient so that the norm of the parameters does not exceed `0.5` like done in PPO (:material-github: [ppo2/model.py#L102-L108](https://github.com/openai/baselines/blob/ea25b9e8b234e6ee1bca43083f8f3cf974143998/baselines/ppo2/model.py#L102-L108)). | ||
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### Experiment results | ||
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PR :material-github: [vwxyzjn/cleanrl#159](https://github.com/vwxyzjn/cleanrl/pull/159) tracks our effort to conduct experiments, and the reprodudction instructions can be found at :material-github: [vwxyzjn/cleanrl/benchmark/c51](https://github.com/vwxyzjn/cleanrl/tree/master/benchmark/c51). | ||
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Below are the average episodic returns for `c51_atari.py`. | ||
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| Environment | `c51_atari.py` 10M steps | (Bellemare et al., 2017, Figure 14)[^1] 50M steps | (Hessel et al., 2017, Figure 5)[^3] | ||
| ----------- | ----------- | ----------- | ---- | | ||
| BreakoutNoFrameskip-v4 | 467.00 ± 96.11 | 748 | ~500 at 10M steps, ~600 at 50M steps | ||
| PongNoFrameskip-v4 | 19.32 ± 0.92 | 20.9 | ~20 10M steps, ~20 at 50M steps | ||
| BeamRiderNoFrameskip-v4 | 9986.96 ± 1953.30 | 14,074 | ~12000 10M steps, ~14000 at 50M steps | ||
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Note that we save computational time by reducing timesteps from 50M to 10M, but our `c51_atari.py` scores the same or higher than (Mnih et al., 2015)[^1] in 10M steps. | ||
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Learning curves: | ||
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<div class="grid-container"> | ||
<img src="../c51/BeamRiderNoFrameskip-v4.png"> | ||
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<img src="../c51/BreakoutNoFrameskip-v4.png"> | ||
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<img src="../c51/PongNoFrameskip-v4.png"> | ||
</div> | ||
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Tracked experiments and game play videos: | ||
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<iframe src="https://wandb.ai/openrlbenchmark/openrlbenchmark/reports/Atari-CleanRL-s-C51--VmlldzoxNzI0NzQ0" style="width:100%; height:500px" title="CleanRL C51 Tracked Experiments"></iframe> | ||
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## `c51.py` | ||
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The [c51.py](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51.py) has the following features: | ||
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* Works with the `Box` observation space of low-level features | ||
* Works with the `Discrete` action space | ||
* Works with envs like `CartPole-v1` | ||
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### Usage | ||
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```bash | ||
python cleanrl/c51.py --env-id CartPole-v1 | ||
``` | ||
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### Explanation of the logged metrics | ||
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See [related docs](/rl-algorithms/c51/#explanation-of-the-logged-metrics) for `c51_atari.py`. | ||
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### Implementation details | ||
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The [c51.py](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51.py) shares the same implementation details as [`c51_atari.py`](https://github.com/vwxyzjn/cleanrl/blob/master/cleanrl/c51_atari.py) except the `c51.py` runs with different hyperparameters and neural network architecture. Specifically, | ||
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1. `c51.py` uses a simpler neural network as follows: | ||
```python | ||
self.network = nn.Sequential( | ||
nn.Linear(np.array(env.single_observation_space.shape).prod(), 120), | ||
nn.ReLU(), | ||
nn.Linear(120, 84), | ||
nn.ReLU(), | ||
nn.Linear(84, env.single_action_space.n), | ||
) | ||
``` | ||
2. `c51.py` runs with different hyperparameters: | ||
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```bash | ||
python c51.py --total-timesteps 500000 \ | ||
--learning-rate 2.5e-4 \ | ||
--buffer-size 10000 \ | ||
--gamma 0.99 \ | ||
--target-network-frequency 500 \ | ||
--max-grad-norm 0.5 \ | ||
--batch-size 128 \ | ||
--start-e 1 \ | ||
--end-e 0.05 \ | ||
--exploration-fraction 0.5 \ | ||
--learning-starts 10000 \ | ||
--train-frequency 10 | ||
``` | ||
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### Experiment results | ||
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PR :material-github: [vwxyzjn/cleanrl#159](https://github.com/vwxyzjn/cleanrl/pull/159) tracks our effort to conduct experiments, and the reprodudction instructions can be found at :material-github: [vwxyzjn/cleanrl/benchmark/c51](https://github.com/vwxyzjn/cleanrl/tree/master/benchmark/c51). | ||
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Below are the average episodic returns for `c51.py`. | ||
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| Environment | `c51.py` | | ||
| ----------- | ----------- | | ||
| CartPole-v1 | 498.51 ± 1.77 | | ||
| Acrobot-v1 | -88.81 ± 8.86 | | ||
| MountainCar-v0 | -167.71 ± 26.85 | | ||
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Note that the C51 has no official benchmark on classic control environments, so we did not include a comparison. That said, our `c51.py` was able to achieve near perfect scores in `CartPole-v1` and `Acrobot-v1`; further, it can obtain successful runs in the sparse environment `MountainCar-v0`. | ||
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Learning curves: | ||
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<div class="grid-container"> | ||
<img src="../c51/CartPole-v1.png"> | ||
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<img src="../c51/Acrobot-v1.png"> | ||
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<img src="../c51/MountainCar-v0.png"> | ||
</div> | ||
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Tracked experiments and game play videos: | ||
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<iframe src="https://wandb.ai/openrlbenchmark/openrlbenchmark/reports/Classic-Control-CleanRL-s-C51--VmlldzoxODIwMTE4" style="width:100%; height:500px" title="CleanRL C51 Tracked Experiments"></iframe> | ||
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[^1]:Bellemare, M.G., Dabney, W., & Munos, R. (2017). A Distributional Perspective on Reinforcement Learning. ICML. | ||
[^2]:\[Proposal\] Formal API handling of truncation vs termination. https://github.com/openai/gym/issues/2510 | ||
[^3]: Hessel, M., Modayil, J., Hasselt, H.V., Schaul, T., Ostrovski, G., Dabney, W., Horgan, D., Piot, B., Azar, M.G., & Silver, D. (2018). Rainbow: Combining Improvements in Deep Reinforcement Learning. AAAI. |
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