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2017 | OriginalPaper | Chapter

Minimizing Computing Costs of Policy Trees in a POMDP-based Intelligent Tutoring System

Author : Fangju Wang

Published in: Computers Supported Education

Publisher: Springer International Publishing

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Abstract

Uncertainties exist in intelligent tutoring. The partially observable Markov decision process (POMDP) model may provide useful tools for handling uncertainties. The model may enable an intelligent tutoring system (ITS) to choose optimal actions when uncertainties occur. A major difficulty in applying the POMDP model to intelligent tutoring is its computational complexity. Typically, when a technique of policy trees is used, in making a decision the number of policy trees to evaluate is exponential, and the cost of evaluating a tree is also exponential. To overcome the difficulty, we develop a new technique of policy trees, based on the features of tutoring processes. The technique can minimize the number of policy trees to evaluate in making a decision, and minimize the costs of evaluating individual trees.

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Appendix
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Literature
1.
go back to reference Anderson, J.R., Corbett, A.T., Koedinger, K.R., Peeelletier, R.: Cognitive tutors: lessons learned. J. Learn. Sci. 4(2), 167–207 (1995)CrossRef Anderson, J.R., Corbett, A.T., Koedinger, K.R., Peeelletier, R.: Cognitive tutors: lessons learned. J. Learn. Sci. 4(2), 167–207 (1995)CrossRef
2.
go back to reference Braziunas, D.: POMDP solution methods: a survey. Technical report, Department of Computer Science, University of Toronto (2003) Braziunas, D.: POMDP solution methods: a survey. Technical report, Department of Computer Science, University of Toronto (2003)
3.
go back to reference Carlin, A., Zilberstein, S.: Observation compression in DEC-POMDP policy trees. In: Proceedings of the 7th International Joint Conference on Autonomous Agents and Multi-agent Systems, pp. 31–45(2008) Carlin, A., Zilberstein, S.: Observation compression in DEC-POMDP policy trees. In: Proceedings of the 7th International Joint Conference on Autonomous Agents and Multi-agent Systems, pp. 31–45(2008)
4.
go back to reference Cassandra, A. A survey of POMDP applications. In: Working Notes of AAAI 1998 Fall Symposium on Planning with Partially Observable Markov Decision Process, pp. 17–24(1998) Cassandra, A. A survey of POMDP applications. In: Working Notes of AAAI 1998 Fall Symposium on Planning with Partially Observable Markov Decision Process, pp. 17–24(1998)
5.
go back to reference Cheung, B., Hui, L., Zhang, J., Yiu, S.M.: SmartTutor: an intelligent tutoring system in web-based adult education. J. Syst. Softw. 68, 11–25 (2003). ElsevierCrossRef Cheung, B., Hui, L., Zhang, J., Yiu, S.M.: SmartTutor: an intelligent tutoring system in web-based adult education. J. Syst. Softw. 68, 11–25 (2003). ElsevierCrossRef
6.
go back to reference Chinaei, H.R., Chaib-draa, B., Lamontagne, L.: Learning observation models for dialogue POMDPs. In: Kosseim, L., Inkpen, D. (eds.) AI 2012. LNCS, vol. 7310, pp. 280–286. Springer, Heidelberg (2012). doi:10.1007/978-3-642-30353-1_24 CrossRef Chinaei, H.R., Chaib-draa, B., Lamontagne, L.: Learning observation models for dialogue POMDPs. In: Kosseim, L., Inkpen, D. (eds.) AI 2012. LNCS, vol. 7310, pp. 280–286. Springer, Heidelberg (2012). doi:10.​1007/​978-3-642-30353-1_​24 CrossRef
7.
go back to reference Folsom-Kovarik, J.T., Sukthankar, G., Schatz, S.: Tractable POMDP representations for intelligent tutoring systems. ACM Trans. Intell. Syst. Technol. (TIST) - Special Section on Agent Communication, Trust in Multiagent Systems, Intelligent Tutoring and Coaching Systems Archive 4(2), 29 (2013) Folsom-Kovarik, J.T., Sukthankar, G., Schatz, S.: Tractable POMDP representations for intelligent tutoring systems. ACM Trans. Intell. Syst. Technol. (TIST) - Special Section on Agent Communication, Trust in Multiagent Systems, Intelligent Tutoring and Coaching Systems Archive 4(2), 29 (2013)
8.
go back to reference Jeremic, Z., Jovanovic, J., Gasevic, D.: Evaluating an intelligent tutoring systemfor design patterns: the DEPTHS experience. Educ. Technol. Soc. 12(2), 111–130 (2009) Jeremic, Z., Jovanovic, J., Gasevic, D.: Evaluating an intelligent tutoring systemfor design patterns: the DEPTHS experience. Educ. Technol. Soc. 12(2), 111–130 (2009)
10.
go back to reference McLaren, B.M., DeLeeuw, K.E., Mayer, R.E.: Polite web-based intelligent tutors: can they improve learning in classrooms? Comput. Educ. 56(3), 574–584 (2011)CrossRef McLaren, B.M., DeLeeuw, K.E., Mayer, R.E.: Polite web-based intelligent tutors: can they improve learning in classrooms? Comput. Educ. 56(3), 574–584 (2011)CrossRef
11.
go back to reference McLaren, B.M., van Gog, T., Ganoe, C., Karabinos, M., Yaron, D.: The efficiency of worked examples compared to erroneous examples, tutored problem solving, and problem solving in classroom experiments. Comput. Hum. Behav. 55, 87–99 (2016)CrossRef McLaren, B.M., van Gog, T., Ganoe, C., Karabinos, M., Yaron, D.: The efficiency of worked examples compared to erroneous examples, tutored problem solving, and problem solving in classroom experiments. Comput. Hum. Behav. 55, 87–99 (2016)CrossRef
12.
go back to reference Rafferty, A.N., Brunskill, E., Griffiths, T.L., Shafto, P.: Faster teaching by POMDP planning. In: Biswas, G., Bull, S., Kay, J., Mitrovic, A. (eds.) AIED 2011. LNCS (LNAI), vol. 6738, pp. 280–287. Springer, Heidelberg (2011). doi:10.1007/978-3-642-21869-9_37 CrossRef Rafferty, A.N., Brunskill, E., Griffiths, T.L., Shafto, P.: Faster teaching by POMDP planning. In: Biswas, G., Bull, S., Kay, J., Mitrovic, A. (eds.) AIED 2011. LNCS (LNAI), vol. 6738, pp. 280–287. Springer, Heidelberg (2011). doi:10.​1007/​978-3-642-21869-9_​37 CrossRef
13.
go back to reference Theocharous, G., Beckwith, R., Butko, N., Philipose, M.: Tractable POMDP planning algorithms for optimal teaching in SPAIS. In: IJCAI PAIR Workshop (2009) Theocharous, G., Beckwith, R., Butko, N., Philipose, M.: Tractable POMDP planning algorithms for optimal teaching in SPAIS. In: IJCAI PAIR Workshop (2009)
14.
go back to reference VanLehn, K.: Intelligent turoring systems for continuous, embedded assessment. In: Dwyer, C. (ed.) The Future of Assessment: Shaping Teaching and Learning, pp. 113–138. Erlbaum, Mahwah (2008) VanLehn, K.: Intelligent turoring systems for continuous, embedded assessment. In: Dwyer, C. (ed.) The Future of Assessment: Shaping Teaching and Learning, pp. 113–138. Erlbaum, Mahwah (2008)
15.
go back to reference VanLehn, K., van de Sande, B., Shelby, R., Gershman, S.: The Andes physics tutoring system: an experiment in Freedom. In: Nkambou, R., Bourdeau, J., Mizoguchi, R. (eds.) Advances in Intelligent Tutoring Systems. SCI, vol. 308, pp. 421–443. Springer, Heidelberg (2010). doi:10.1007/978-3-642-14363-2_21 CrossRef VanLehn, K., van de Sande, B., Shelby, R., Gershman, S.: The Andes physics tutoring system: an experiment in Freedom. In: Nkambou, R., Bourdeau, J., Mizoguchi, R. (eds.) Advances in Intelligent Tutoring Systems. SCI, vol. 308, pp. 421–443. Springer, Heidelberg (2010). doi:10.​1007/​978-3-642-14363-2_​21 CrossRef
16.
go back to reference Wang, F.: Handling exponential state space in a POMDP-based intelligent tutoring system. In: Proceedings of 6th International Conference on E-Service and Knowledge Management (IIAI ESKM 2015), pp. 67–72 (2015) Wang, F.: Handling exponential state space in a POMDP-based intelligent tutoring system. In: Proceedings of 6th International Conference on E-Service and Knowledge Management (IIAI ESKM 2015), pp. 67–72 (2015)
17.
go back to reference Williams, J.D., Poupart, P., Young, S.: Factored partially observable Markov decision processes for dialogue management. In: Proceedings of Knowledge and Reasoning in Practical Dialogue Systems (2005) Williams, J.D., Poupart, P., Young, S.: Factored partially observable Markov decision processes for dialogue management. In: Proceedings of Knowledge and Reasoning in Practical Dialogue Systems (2005)
18.
go back to reference Williams, J.D., Young, S.: Partially observable Markov decision processes for spoken dialog systems. Comput. Speech Lang. 21, 393–422 (2007). ElsevierCrossRef Williams, J.D., Young, S.: Partially observable Markov decision processes for spoken dialog systems. Comput. Speech Lang. 21, 393–422 (2007). ElsevierCrossRef
19.
go back to reference Woolf, B.P.: Building Intelligent Interactive Tutors. Morgan Kaufmann Publishers, Burlington (2009) Woolf, B.P.: Building Intelligent Interactive Tutors. Morgan Kaufmann Publishers, Burlington (2009)
Metadata
Title
Minimizing Computing Costs of Policy Trees in a POMDP-based Intelligent Tutoring System
Author
Fangju Wang
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-63184-4_9

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