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パラメータ調整arXiv:1602.04450

安全制約付きベイズ最適化:ロボティクスにおける安全で自動的なパラメータ調整

Bayesian Optimization with Safety Constraints: Safe and Automatic Parameter Tuning in Robotics

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目的関数とは別に複数の安全制約を設け、初期の安全パラメータ集合からガウス過程事前分布を活用して安全を高確率で満たすパラメータのみを評価しながら性能を最大化するベイズ最適化手法を提案した論文。

著者: Felix Berkenkamp, Andreas Krause, Angela P. Schoellig

分類: cs.RO, cs.LG, cs.SY, eess.SY

原文アブストラクト

Robotic algorithms typically depend on various parameters, the choice of which significantly affects the robot's performance. While an initial guess for the parameters may be obtained from dynamic models of the robot, parameters are usually tuned manually on the real system to achieve the best performance. Optimization algorithms, such as Bayesian optimization, have been used to automate this process. However, these methods may evaluate unsafe parameters during the optimization process that lead to safety-critical system failures. Recently, a safe Bayesian optimization algorithm, called SafeOpt, has been developed, which guarantees that the performance of the system never falls below a critical value; that is, safety is defined based on the performance function. However, coupling performance and safety is often not desirable in robotics. For example, high-gain controllers might achieve low average tracking error (performance), but can overshoot and violate input constraints. In this paper, we present a generalized algorithm that allows for multiple safety constraints separate from the objective. Given an initial set of safe parameters, the algorithm maximizes performance but only evaluates parameters that satisfy safety for all constraints with high probability. To this end, it carefully explores the parameter space by exploiting regularity assumptions in terms of a Gaussian process prior. Moreover, we show how context variables can be used to safely transfer knowledge to new situations and tasks. We provide a theoretical analysis and demonstrate that the proposed algorithm enables fast, automatic, and safe optimization of tuning parameters in experiments on a quadrotor vehicle.

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