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Bayesian Optimization with Automatic Prior Selection for Data-Efficient Direct Policy Search

Published 20 Sep 2017 in cs.RO, cs.AI, cs.LG, cs.NE, and stat.ML | (1709.06919v2)

Abstract: One of the most interesting features of Bayesian optimization for direct policy search is that it can leverage priors (e.g., from simulation or from previous tasks) to accelerate learning on a robot. In this paper, we are interested in situations for which several priors exist but we do not know in advance which one fits best the current situation. We tackle this problem by introducing a novel acquisition function, called Most Likely Expected Improvement (MLEI), that combines the likelihood of the priors and the expected improvement. We evaluate this new acquisition function on a transfer learning task for a 5-DOF planar arm and on a possibly damaged, 6-legged robot that has to learn to walk on flat ground and on stairs, with priors corresponding to different stairs and different kinds of damages. Our results show that MLEI effectively identifies and exploits the priors, even when there is no obvious match between the current situations and the priors.

Citations (42)

Summary

  • The paper introduces MLEI, combining likelihood evaluation with expected improvement for automatic prior selection.
  • The methodology integrates multiple priors to balance exploration and exploitation, boosting data efficiency in policy search.
  • Experimental results on a 5-DOF planar arm and a hexapod robot show significantly faster adaptation and robust performance.

Summary of the Paper

The paper addresses a significant challenge in Bayesian Optimization (BO) for Direct Policy Search, particularly in robotic applications, where data efficiency is crucial due to real-world constraints on trial numbers. The core contribution is the introduction of a novel acquisition function, the Most Likely Expected Improvement (MLEI), designed to handle scenarios where multiple priors exist, and the most suitable one for the current task is unknown. This setting is pertinent in robotic learning scenarios that incorporate prior knowledge from various simulations or previous tasks to accelerate learning.

Methodology

Bayesian Optimization traditionally benefits from leveraging priors to guide the search in policy parameter space efficiently. The novelty of MLEI lies in incorporating both the likelihood of priors and the expected improvement into a single acquisition function. This function automatically selects and exploits the most promising prior from a pool, significantly enhancing BO's adaptability to unknown or partially known environments.

The paper describes a process wherein the likelihood of the model under different priors is assessed alongside the potential improvement estimation. This enables distinguishing among available priors, balancing between exploration (potential for better performance) and exploitation (likelihood of prior fitting the data), to facilitate effective learning. Experimentally, this approach is evaluated on two robotic setups: a 5-DOF planar arm tasked with reaching a target, and a 6-legged robot required to adapt its gait in response to damage and different terrains, specifically stairs.

Experimental Results and Implications

The paper reports that MLEI significantly outperforms the standard expected improvement approach in both robotic scenarios. Notably, even in the absence of an explicitly matching prior, the MLEI function allows for effective adaptation. In the planar arm experiment, MLEI led to faster achievement of desired behaviors compared to random prior selection or null prior setups. In the case of the hexapod robot, MLEI facilitated rapid adaptation to new environments and damage conditions, both in simulation and physical tests.

This research provides practical implications for robotics, reinforcing the capability of robots to adapt learning strategies dynamically based on real-time performance data rather than preconceived models alone. It presents a substantial leap toward autonomous systems that can effectively learn and adapt, enabling more robust operation in unstructured, real-world environments.

Speculations on Future Developments

Moving forward, further exploration could involve expanding the application of MLEI to more complex and high-dimensional policy spaces, possibly in multi-agent systems or more intricate robotic manipulators. Additionally, extending MLEI to understand and incorporate hierarchical or structured priors could enhance model generalization across a broader spectrum of tasks or contexts. The integration with deep generative models could also be explored to extend prior learning from high-dimensional simulation data, thus pushing the boundaries of data-efficient learning paradigms.

This paper potentially sets a new standard for approaches utilizing Bayesian methods in reinforcement learning, opening avenues for further research into prior-informed decision-making frameworks, particularly in the context of adaptive robotic systems.

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