Presentation 2020-01-10
Non-compensatory Temporal IRT with Local Variational Approximation
Hiroshi Tamano, Daichi Mochihashi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Knowledge tracing, the time varying extension of item response theory (IRT), is a task to trace learner’slatent skill states to predict whether the learner can answer a new question correctly. Due to its educational domain, knowledge tracing needs high interpretability of its prediction and explainability of its result. As for explainability, explanation with human interpretable skills is necessary, which are usually given as conjunctive conditions. Such amodel is called a non-compensatory model in multi-dimensional IRT and explanation using non-compensatory itemresponse model is desired. To realize an interpretable and explainable knowledge tracing, we propose a probabilisticmodel based on non-compensatory item response model combined with a linear dynamical system. Since it resultsin a complicated posterior on the skill states of the learners, we approximate it using a local variational distribution. We also show that our posterior adequately approximates the true posterior in artificial data, and our predictionperformance is better than two popular deep learning based knowledge tracing in ASSISTment Data.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Educational Technology / IRT / Knowledge Tracing / Kalman Filter / Variational Approximation
Paper # IBISML2019-31
Date of Issue 2020-01-02 (IBISML)

Conference Information
Committee IBISML
Conference Date 2020/1/9(2days)
Place (in Japanese) (See Japanese page)
Place (in English) ISM
Topics (in Japanese) (See Japanese page)
Topics (in English) Machine learning, etc.
Chair Hisashi Kashima(Kyoto Univ.)
Vice Chair Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo)
Secretary Masashi Sugiyama(Nagoya Inst. of Tech.) / Koji Tsuda(AIST)
Assistant Tomoharu Iwata(NTT) / Shigeyuki Oba(Kyoto Univ.)

Paper Information
Registration To Technical Committee on Infomation-Based Induction Sciences and Machine Learning
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Non-compensatory Temporal IRT with Local Variational Approximation
Sub Title (in English)
Keyword(1) Educational Technology
Keyword(2) IRT
Keyword(3) Knowledge Tracing
Keyword(4) Kalman Filter
Keyword(5) Variational Approximation
1st Author's Name Hiroshi Tamano
1st Author's Affiliation NEC Data Science Laboratories/The Graduate University for Advanced Studies, SOKENDAI(NEC/SOKENDAI)
2nd Author's Name Daichi Mochihashi
2nd Author's Affiliation The Institute of Statistical Mathematics(ISM)
Date 2020-01-10
Paper # IBISML2019-31
Volume (vol) vol.119
Number (no) IBISML-360
Page pp.pp.91-98(IBISML),
#Pages 8
Date of Issue 2020-01-02 (IBISML)