Train Hard, Fight Easy: Robust Meta Reinforcement Learning

A major challenge of reinforcement learning (RL) in real-world applications is the variation between environments, tasks or clients. Meta-RL (MRL) addresses this issue by learning a meta-policy that adapts to new tasks. Standard MRL methods optimize the average return over tasks, but often suffer from poor results in tasks of high risk or difficulty. This limits system reliability since test tasks are not known in advance. In this work, we define a robust MRL objective with a controlled robustness level. Optimization of analogous robust objectives in RL is known to lead to both *biased gradients* and *data inefficiency*. We prove that the gradient bias disappears in our proposed MRL framework. The data inefficiency is addressed via the novel Robust Meta RL algorithm (RoML). RoML is a meta-algorithm that generates a robust version of any given MRL algorithm, by identifying and over-sampling harder tasks throughout training. We demonstrate that RoML achieves robust returns on multiple navigation and continuous control benchmarks.

Paper

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Peer review

Reviewer FerX6/10 · confidence 3/52023-07-02

Summary

This is an interesting paper that harnesses a risk-averse optimization from RL and applies the trick to Meta RL (called RoML). It has a theory section that proves that biased gradients in ordinary robust RL objectives are no longer biased when applied to meta RL, an interesting result. there is also a data inefficiency problem that arises in robust RL objectives because out of a batch of N trajectories, they can only make use of a small proportion (alpha) of them. The authors importance sample the set of tail tasks, recovering sample efficiency. Altogether, the authors discuss several key problems that are present in vanilla RL which disappear in meta RL. The authors demonstrate experimentally on a variety of tasks the benefits of RoML over baselines.

Strengths

This paper discovers the cool trick that whereas CVaR has problems associated with its biased estimate of gradients in ordinary RL, these problems are resolved in Meta RL, which is a cool finding backed by theory. The intuition is easy to understand. The experiments are solid.

Weaknesses

I have no concerns. The authors demonstrate strong performance on a variety of tasks, demonstrating its versatility.

Questions

N/A

Rating

6: Weak Accept: Technically solid, moderate-to-high impact paper, with no major concerns with respect to evaluation, resources, reproducibility, ethical considerations.

Confidence

3: You are fairly confident in your assessment. It is possible that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work. Math/other details were not carefully checked.

Soundness

4 excellent

Presentation

4 excellent

Contribution

4 excellent

Limitations

N/A

Reviewer vMWn6/10 · confidence 4/52023-07-03

Summary

This paper focuses on the meta-reinforcement learning setting, where the agent learns a meta-policy that adapts to new tasks with few observations. However, traditional meta-RL methods optimize the average return over tasks but often suffer from poor results in tasks of high risk or difficulty. This may make the agent fail to generalize to risk tasks. In this paper, the authors introduce CVaR into the meta RL framework to solve this problem. They theoretically prove that an unbiased gradient estimator is available in the meta RL setting, which allows a general critic module. They then propose the Robust Meta RL algorithm (RoML) algorithm to generate a robust version of any given MRL algorithm, by identifying and oversampling harder tasks throughout training. Experiments on the gym locomotion tasks demonstrate the advantages of the proposed method.

Strengths

1. This paper is well-written and easy to follow. The figures are clear and illustrative for understanding the idea. 2. The theoretical analysis shows evidence to support the advantages of the proposed method. 3. The experiments also support the claim that the proposed method achieves better adaptation to unseen tasks.

Weaknesses

1. I am a little confused about the setting of robust meta-reinforcement learning. What does robustness mean in meta RL? Is there any disturbance to the dynamic system or observation? It seems that the setting mentioned in this paper is that some tasks are harder than others. 2. The main contribution of this paper is extending the CVaR-PG framework to meta RL setting and eliminating the limitation of the biased gradient estimator. However, the intuition behind the difference between using CVaR in RL and meta-RL settings is not clear. If the task space is not discretized (as mentioned in the caption of Figure 1), the boundary of RL and meta RL will be unclear. So we can still have both easy and hard situations in the RL setting and assume there is an unknown distribution of the difficulty. I think the authors should give some hints in the introduction section about why using CVaR in meta RL is better than in RL. Does the advantage come from the discretized task indicator? 3. The experimental evaluation is not thorough enough. First, the experiments do not use standard meta-RL benchmarks, such as Meta World. Second, the experimental setting is not consistent with the motivation “Standard MRL methods optimize the average return over tasks but often suffer from poor results in tasks of high risk or difficulty.” There are no particular high-risk or difficult tasks in the environments (a high-risk task is defined as the high mass in the mujoco environment). The example in Figure 1 looks good but is not mentioned in the experiment part. Third, potential simple baselines are missing. For example, oversampling the hard task according to the return. This could be a general trick for all meta-learning methods, so I think it should be a fair baseline.

Questions

Points 1 and 2 of the weaknesses are my questions.

Rating

6: Weak Accept: Technically solid, moderate-to-high impact paper, with no major concerns with respect to evaluation, resources, reproducibility, ethical considerations.

Confidence

4: You are confident in your assessment, but not absolutely certain. It is unlikely, but not impossible, that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work.

Soundness

2 fair

Presentation

3 good

Contribution

3 good

Limitations

The limitation of the proposed method is discussed in the conclusion section. The algorithm requires control over the selection of training tasks. This assumption is acceptable since it is possible to define and control different tasks in both simulation and real-world cases.

Reviewer CM4Y6/10 · confidence 4/52023-07-04

Summary

The paper presents a novel approach to robust Meta-Reinforcement Learning (MRL), aiming to improve the consistency of returns across tasks, crucial for many RL applications. The authors introduce Conditional Value-at-Risk (CVaR) optimization to MRL, and propose a new method called Robust Meta RL algorithm (RoML). This approach overcomes issues of biased gradients, common in CVaR optimization in RL, and increases sample efficiency by identifying and over-sampling lower return tasks. Experimental results support the effectiveness of RoML, showing improved robustness over baseline algorithms in various domains.

Strengths

**Strengths**: 1. The use of CVaR optimization in Meta RL is a novel idea that addresses the issue of robustness, a common challenge in reinforcement learning applications. 2. The theoretical proof that MRL is immune to biased gradients, a common issue in CVaR optimization in RL, is a significant strength. 3. Experimental results highlight the robustness and efficiency of the RoML method across various domains.

Weaknesses

**Weaknesses**: 1. The RoML algorithm assumes that tasks can be selected during training. This might not always be feasible in real-world applications, potentially limiting its general applicability. 2. While the paper mentions that average return is improved in certain experiments, it does not provide a clear discussion on this, leaving questions on how RoML impacts average return across different applications.

Questions

1. Could you elaborate on the conditions under which RoML improves the average return? Does this improvement come at the cost of performance in other aspects? 2. Could you provide more clarity on how task selection during training works with the RoML algorithm?

Rating

6: Weak Accept: Technically solid, moderate-to-high impact paper, with no major concerns with respect to evaluation, resources, reproducibility, ethical considerations.

Confidence

4: You are confident in your assessment, but not absolutely certain. It is unlikely, but not impossible, that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work.

Soundness

3 good

Presentation

3 good

Contribution

3 good

Limitations

This paper includes a few sentences of the main limitations. I suggest authors discuss more on this. I don't find any obvious societal impacts.

Reviewer ib316/10 · confidence 3/52023-07-07

Summary

This paper aim to address the limitations in the standard meta reinforcement learning (MRL) methods, where they optimize the average return over tasks and often struggle with high-risk or difficult tasks, hence limiting system reliability. To this end, the authors define a robust MRL objective with a controlled robustness level to overcome these limitations. Meanwhile, this work proposed RoML with provable gradient bias reduction and improvement on the data efficiency. Overall, this paper is well-organized and presented. The proposed method is promising with experimental evidence. They show that RoML achieves robust returns, indicating improved performance and reliability in challenging scenarios. By combining the controlled robustness of the MRL objective and the oversampling approach of RoML, this paper contributes to advancing the field of RL in real-world applications with variable and unknown test tasks.

Strengths

1. To address the impact of the biased gradient issue in standard RL, this work proposed to use CVaR in the objective and provides the theoretical guarantee (Theorem 1) 2. The proposed CVaR-ML has improved data efficiency by a factor up to $1/\alpha$ 3. The conducted experiments on both risk-averse, risk-neutral baselines shows promising results of RoML.

Weaknesses

1. The proposed algorithm RoML requires the proper set up of parameter $\alpha$ and $\beta$, it will be beneficial to discuss more on the choice of those parameters for different tasks? e.g., do you use grid-search for choosing those parameters?

Questions

1. Does the rollout length matter to the performance? Do you choose different rollout length for different tasks? 2. Does over-sampling on the low-return tasks increase the computation complexity? 3. If the task distribution changes overtime, does the over-sampling strategy still be able to guarantee the robustness?

Rating

6: Weak Accept: Technically solid, moderate-to-high impact paper, with no major concerns with respect to evaluation, resources, reproducibility, ethical considerations.

Confidence

3: You are fairly confident in your assessment. It is possible that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work. Math/other details were not carefully checked.

Soundness

3 good

Presentation

3 good

Contribution

3 good

Limitations

The author has discussed the limitations of this work.

Reviewer ib312023-08-10

Thank you for the rebuttal

Thank you for the effort on the rebuttal. - Q1 on rollout length: It is feasible to use the same setting as previous work to set up the rollout length while the author need to give explicit setup at least in the experiments. Meanwhile, it is well known that the rollout plays a critical part on the learning performance and data efficiency. The authors need to specify how does the choice of rollout length have impact on the results?

Authorsrebuttal2023-08-17

Thanks for clarifying the question. First, we will add a report of the rollout lengths to the manuscript - both number of episodes per task, and number of steps per episode. Second, as requested, we tested the sensitivity to the rollout length by modifying the number of episodes K per task. As shown below, in most experiments RoML obtains significantly superior CVaR. | | | Cheetah-Vel | Cheetah-Mass | Cheetah-Body | Cheetah-10D (a) | |---------------|---------|:-------------:|:-------------:|:------------:|-----------------| | K=1 | VariBAD | $-243 \pm 23$ | $1089 \pm 21$ | $752 \pm 27$ | $1013 \pm 17$ | | K=1 | RoML | $-258 \pm 42$ | $1253 \pm 22$ | $780 \pm 26$ | $1049 \pm 20$ | | K=2 (default) | VariBAD | $-202 \pm 6$ | $1072 \pm 16$ | $835 \pm 30$ | $1126 \pm 6$ | | K=2 (default) | RoML | $-184 \pm 4$ | $1259 \pm 19$ | $935 \pm 17$ | $1227 \pm 13$ | | K=4 | VariBAD | $-225 \pm 23$ | $1108 \pm 20$ | $852 \pm 14$ | $1071 \pm 16$ | | K=4 | RoML | $-235 \pm 37$ | $1275 \pm 22$ | $932 \pm 16$ | $1233 \pm 26$ | Third, regarding the choice of lengths: while in principle this can be considered a hyperparameter and be tuned, our approach for the experiments was different. We wanted to stress the effectiveness of RoML as a meta-algorithm that can take an existing algorithm and improve its robustness (Lines 83, 300) - without the user having to re-tune all its hyperparameters. To that end, we ran the baselines with standard hyperparameters from previous works, and used the *same* hyperparameters for RoML. This is an important aspect of our experimental approach and we will stress it further in the manuscript.

Reviewer ib312023-08-17

Thanks for your response

I thank the authors for the experimental results and discussions on my questions. I will keep my original score.

Reviewer CM4Y2023-08-15

Thanks for the authors' clarification. My score remains the same as weak accept.

Reviewer FerX2023-08-16

Thanks for the reply, best of luck to the authors.

Program Chairsdecision2023-09-21

Decision

Accept (poster)

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