论文标题
贝叶斯知识追踪的公平和公平性
Equity and Fairness of Bayesian Knowledge Tracing
论文作者
论文摘要
我们考虑从知识追踪模型中得出的课程的公平性和公平性。首先,我们将公平辅导系统的统一概念定义为一个系统,该系统可以在最小的时间内为每个学生互动而实现最大可能的知识。实现完美的公平需要每个学生可以提供个性化课程的辅导系统。特别是,我们研究了公平的辅导系统的设计,这些系统从知识追踪模型中得出课程。我们首先表明,许多现有的模型,包括古典贝叶斯知识追踪(BKT)和深知识追踪(DKT),其派生的课程可能无法实现公平的辅导。为了克服这个问题,我们然后提出了一个新颖的模型,即贝叶斯 - 巴约西亚知识追踪(BBKT),该模型自然可以使在线个性化,从而更加公平地辅导。我们证明,从我们的模型中得出的课程比从经典BKT模型中得出的课程更有效和公平。此外,我们强调,改善模型以关注下一步预测的公平性可能不足以开发公平的辅导系统。
We consider the equity and fairness of curricula derived from Knowledge Tracing models. We begin by defining a unifying notion of an equitable tutoring system as a system that achieves maximum possible knowledge in minimal time for each student interacting with it. Realizing perfect equity requires tutoring systems that can provide individualized curricula per student. In particular, we investigate the design of equitable tutoring systems that derive their curricula from Knowledge Tracing models. We first show that many existing models, including classical Bayesian Knowledge Tracing (BKT) and Deep Knowledge Tracing (DKT), and their derived curricula can fall short of achieving equitable tutoring. To overcome this issue, we then propose a novel model, Bayesian-Bayesian Knowledge Tracing (BBKT), that naturally enables online individualization and, thereby, more equitable tutoring. We demonstrate that curricula derived from our model are more effective and equitable than those derived from classical BKT models. Furthermore, we highlight that improving models with a focus on the fairness of next-step predictions might be insufficient to develop equitable tutoring systems.