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arXiv 2102.01623cs.LGcs.SYeess.SY
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带记忆的强自适应在线学习对抗跟踪控制

Adversarial Tracking Control via Strongly Adaptive Online Learning with Memory

Boston University(波士顿大学)

Zhiyu Zhang, Ashok Cutkosky, Ioannis Ch. Paschalidis

摘要:

我们考虑的问题,跟踪一个敌对状态序列的线性动力系统的敌对干扰和损失函数,推广早期的设置在文献中。为此,我们开发了三种技术,每一个独立的利益。首先,我们提出了一个比较器自适应算法的移动成本的在线线性优化。如果不进行调整,事后看来,它几乎与最佳调整的梯度下降的性能相匹配。接下来,考虑到一个相关的问题,称为在线学习与记忆,我们构建了一个新的强自适应算法,使用我们的第一个贡献作为积木。最后,我们提出了第一个减少从对抗跟踪控制强自适应在线学习与记忆。总结这些单独的技术,我们得到了一个对抗跟踪控制器具有很强的性能保证,即使参考轨迹有很大的运动范围。

英文摘要:

We consider the problem of tracking an adversarial state sequence in a linear dynamical system subject to adversarial disturbances and loss functions, generalizing earlier settings in the literature. To this end, we develop three techniques, each of independent interest. First, we propose a comparator-adaptive algorithm for online linear optimization with movement cost. Without tuning, it nearly matches the performance of the optimally tuned gradient descent in hindsight. Next, considering a related problem called online learning with memory, we construct a novel strongly adaptive algorithm that uses our first contribution as a building block. Finally, we present the first reduction from adversarial tracking control to strongly adaptive online learning with memory. Summarizing these individual techniques, we obtain an adversarial tracking controller with a strong performance guarantee even when the reference trajectory has a large range of movement.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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