Iterative Classroom Teaching

  • Teresa Yeo EPFL Zurich
  • Parameswaran Kamalaruban EPFL Zurich
  • Adish Singla Max Planck Institute for Software Systems
  • Arpit Merchant MPI-SWS
  • Thibault Asselborn EPFL Zurich
  • Louis Faucon EPFL
  • Pierre Dillenbourg EPFL Zurich
  • Volkan Cevher EPFL Zurich

Abstract

We consider the machine teaching problem in a classroom-like setting wherein the teacher has to deliver the same examples to a diverse group of students. Their diversity stems from differences in their initial internal states as well as their learning rates. We prove that a teacher with full knowledge about the learning dynamics of the students can teach a target concept to the entire classroom using O(min{d,N}log 1/ɛ) exam-ples, where d is the ambient dimension of the problem, N is the number of learners, and ɛ is the accuracy parameter. We show the robustness of our teaching strategy when the teacher has limited knowledge of the learners’ internal dynamics as provided by a noisy oracle. Further, we study the trade-off between the learners’ workload and the teacher’s cost in teaching the target concept. Our experiments validate our theoretical results and suggest that appropriately partitioning the classroom into homogenous groups provides a balance between these two objectives.

Published
2019-07-17
Section
AAAI Technical Track: Machine Learning