TCS-TR-A-06-13

Date: Wed Apr 26 21:12:20 2006

Title: On the Teachability of Randomized Learners

Authors: Frank J. Balbach and Thomas Zeugmann

Contact:

First name: Thomas
Last name: Zeugmann
Address: Division of Computer Science, Hokkaido University, N-14, W-9, Sapporo 060-0814, Japan
Email: thomas@ist.hokudai.ac.jp

Abstract. The present paper introduces a new model for teaching randomized learners. Our new model, though based on the classical teaching dimension model, allows to study the influence of various parameters such as the learner's memory size, its ability to provide or to not provide feedback, and the influence of the order in which examples are presented. Furthermore, within the new model it is possible to investigate new aspects of teaching like teaching from positive data only or teaching with inconsistent teachers. Furthermore, we provide characterization theorems for teachability from positive data for both ordinary teachers and inconsistent teachers with and without feedback.