通过拉格朗日漂移控制降低贝叶斯逆问题中的流不确定性
Decreasing flow uncertainty in Bayesian inverse problems through Lagrangian drifter control
摘要：
海洋学中的常见现象是收集海洋漂流者的位置。海洋漂移器是一种位于海洋表面并随水流移动的设备，通过GPS将其位置传输到陆地上的站点。使用漂移数据，可以获得底层流动的后验。然而，这个问题是高度低估的。通过控制海洋漂流物，我们试图提高我们对底层流动的认识。我们通过指示漂流者探索目前未被绘制的部分流动来做到这一点，从而获得新的观察结果。对照的有效性由其对后验分布方差的影响决定。较小的方差被解释为更好地理解流量。我们表明，可以通过利用控制来系统地减少方差，这些控制允许漂流者导航新的或有趣的流动结构，其中一个很好的例子是漩涡。
英文摘要：
Commonplace in oceanography is the collection of ocean drifter positions. Ocean drifters are devices that sit on the surface of the ocean and move with the flow, transmitting their position via GPS to stations on land. Using drifter data, it is possible to obtain a posterior on the underlying flow. This problem, however, is highly underdetermined. Through controlling an ocean drifter, we attempt to improve our knowledge of the underlying flow. We do this by instructing the drifter to explore parts of the flow currently uncharted, thereby obtaining fresh observations. The efficacy of a control is determined by its effect on the variance of the posterior distribution. A smaller variance is interpreted as a better understanding of the flow. We show a systematic reduction in variance can be achieved by utilising controls that allow the drifter to navigate new or interesting flow structures, a good example of which are eddies.
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。
