Research on automated essay scoring has become increasing important because it serves as a method for evaluating students' written-responses at scale. Scalable methods for scoring written responses are needed as students migrate to online learning environments resulting in the need to evaluate large numbers of written-response assessments. The purpose of this study is to describe and evaluate three active learning methods than can be used to minimize the number of essays that must be scored by human raters while still providing the data needed to train a modern automated essay scoring system. The three active learning methods are the uncertainty-based, the topological-based, and the hybrid method. These three methods were used to select essays included as part of the Automated Student Assessment Prize competition that were then classified using a scoring model that was training with the bidirectional encoder representations from transformer language model. All three active learning methods produced strong results, with the topological-based method producing the most efficient classification. Growth rate accuracy was also evaluated. The active learning methods produced different levels of efficiency under different sample size allocations but, overall, all three methods were highly efficient and produced classifications that were similar to one another.

游戏理论运动计划者是控制多个高度交互式机器人系统的有效解决方案。大多数现有的游戏理论规划师不切实际地假设所有代理都可以使用先验的目标功能知识。为了解决这个问题，我们提出了一个容忍度的退缩水平游戏理论运动计划者，该计划者利用了与意图假设的可能性相互交流。具体而言，机器人传达其目标函数以结合意图。离散的贝叶斯过滤器旨在根据观察到的轨迹与传达意图的轨迹之间的差异来实时推断目标。在仿真中，我们考虑了三种安全至关重要的自主驾驶场景，即超车，车道交叉和交叉点，以证明我们计划者在存在通信网络中存在错误的传输情况下利用替代意图假设来产生安全轨迹的能力。

我们在连续时间内研究一般的熵正规的多变量LQG平均场比赛（MFGS），以k $ Distint的代理商。我们将动作的概念扩展到行动分发（探索性行为），并明确地导出了限制MFG中各个代理的最佳动作分布。我们证明，最佳的动作分布集产生了$ \ epsilon $ -Nash均衡，为有限群体熵定期的MFG。此外，我们将由此产生的解决方案与古典LQG MFG的结果进行比较，并建立其存在的等价。