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A Distributional View on Multi-Objective Policy Optimization (2005.07513v1)

Published 15 May 2020 in cs.LG, cs.AI, cs.RO, and stat.ML

Abstract: Many real-world problems require trading off multiple competing objectives. However, these objectives are often in different units and/or scales, which can make it challenging for practitioners to express numerical preferences over objectives in their native units. In this paper we propose a novel algorithm for multi-objective reinforcement learning that enables setting desired preferences for objectives in a scale-invariant way. We propose to learn an action distribution for each objective, and we use supervised learning to fit a parametric policy to a combination of these distributions. We demonstrate the effectiveness of our approach on challenging high-dimensional real and simulated robotics tasks, and show that setting different preferences in our framework allows us to trace out the space of nondominated solutions.

Citations (72)

Summary

  • The paper introduces MO-MPO, a novel algorithm that bypasses traditional reward scalarization by directly encoding preferences via KL-divergence constraints.
  • It demonstrates superior performance in high-dimensional simulated and robotics domains by effectively tracing the Pareto front and achieving better policy trade-offs.
  • The scale-invariant approach and RL-as-inference framework pave the way for future multi-policy MORL research and robust real-world applications.

A Distributional View on Multi-Objective Policy Optimization

The paper "A Distributional View on Multi-Objective Policy Optimization" presents an innovative approach to multi-objective reinforcement learning (MORL) that circumvents the traditional scalarization of multiple objectives into a single reward value. Instead, the authors introduce a method that enables practitioners to specify preferences among objectives directly and in a scale-invariant form. This avoids the potentially challenging task of balancing objectives that are naturally expressed in different units or scales.

The core contribution of the paper is the introduction of a novel framework that they call Multi-Objective Maximum a Posteriori Policy Optimization (MO-MPO). This framework leverages the RL-as-inference perspective to create a policy iteration algorithm that learns a separate action distribution for each objective. During the optimization process, these distributions are combined into a unified policy, which allows for tracing out the space of non-dominated solutions—the Pareto front—without prior scalarization.

Key Results and Claims

The authors provide a thorough evaluation of their approach, compared against traditional scalarization methods. In high-dimensional tasks involving simulated and real robotics domains, MO-MPO is shown to excel in discovering a richer set of policies on the Pareto front, covering areas with better trade-offs between the considered objectives. A significant claim presented by the authors is the scale invariance of their preference encoding. They demonstrate empirically that changes in the scale of rewards do not affect the ability to find policies that appropriately balance the objectives as specified by preferences.

A novel aspect of their approach is the encoding of preferences as constraints on the influence of each objective as expressed by the KL-divergence. They argue, with supporting data, that this method for specifying preferences is more intuitive than traditional scalarization and is robust to typical scaling issues found in MORL tasks.

Implications and Future Directions

The framework introduced in the paper provides a theoretically grounded and empirically validated approach to achieving MORL solutions in complex environments. By moving away from scalarization, it sets a new precedent in handling the diverse objectives of real-world tasks. The pragmatic approach makes it feasible to implement MORL in settings where objectives might not have an easily identifiable scalar relationship, such as balancing safety and efficiency in robotics, or maximizing returns versus minimizing risks in financial domains.

The authors suggest potential future work in extending their approach to a true multi-policy MORL framework, where one could condition the policy on the preferences themselves or develop strategies to adaptively select preference settings. This could further reduce the computational burden associated with learning a broad range of policies across the Pareto front.

Conclusion

In conclusion, the "A Distributional View on Multi-Objective Policy Optimization" paper significantly advances the MORL field by offering a novel, scale-invariant way of encoding preferences. Its distributional perspective enables a more flexible, robust approach to modeling multi-objective domains, with promising implications for various applied settings. The method's rigorous evaluation and alignment with the RL-as-inference framework suggest that it could be adapted to a wide range of RL algorithms, potentially leading to further innovations and practical deployments in complex real-world scenarios.

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