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Paper Abstract and Keywords
Presentation 2013-11-12 15:45
[Poster Presentation] The Method to Extract Latent Skills from Time Series Examination Results with Matrix Factorization
Shinichi Oeda, Eriko Amano (KNCT), Kenji Yamanishi (Univ. of Tokyo) IBISML2013-52
Abstract (in Japanese) (See Japanese page) 
(in English) Examination results are used to judge whether an student possesses desired latent skills. In order to grasp the skills, it is important to find which skills a question item contains. The relationship between items and skills may be represented by what we call a Q-matrix. Recent studies have been attempting to extract a Q-matrix with Non-negative matrix factorization (NMF) from a set of students' test scores. However, they did not consider the time-evolving nature of latent skills. In order to comprehend the learning effects in the educational process, it is significant to study how the distribution of students' latent skills changes over time. In this paper, we propose novel methods for extracting both a Q-matrix and time-evolving latent skills from examination time series, simultaneously. Moreover, we compare a Q-matrix extraction with Boolean matrix factorization (BMF) with NMF. The experimental results show that we can detect the time-evolving skills from time series examination results.
Keyword (in Japanese) (See Japanese page) 
(in English) NMF (Non-negative matrix factorization) / BMF (Boolean matrix factorization) / Q-matrix / Change detection / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 286, IBISML2013-52, pp. 123-130, Nov. 2013.
Paper # IBISML2013-52 
Date of Issue 2013-11-05 (IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IBISML2013-52

Conference Information
Committee IBISML  
Conference Date 2013-11-10 - 2013-11-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo Institute of Technology, Kuramae-Kaikan 
Topics (in Japanese) (See Japanese page) 
Topics (in English) The 16th IBIS Workshop & The 2nd IBIS Tutorial 
Paper Information
Registration To IBISML 
Conference Code 2013-11-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) The Method to Extract Latent Skills from Time Series Examination Results with Matrix Factorization 
Sub Title (in English)  
Keyword(1) NMF (Non-negative matrix factorization)  
Keyword(2) BMF (Boolean matrix factorization)  
Keyword(3) Q-matrix  
Keyword(4) Change detection  
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1st Author's Name Shinichi Oeda  
1st Author's Affiliation Kisarazu National College of Technology (KNCT)
2nd Author's Name Eriko Amano  
2nd Author's Affiliation Kisarazu National College of Technology (KNCT)
3rd Author's Name Kenji Yamanishi  
3rd Author's Affiliation The University of Tokyo (Univ. of Tokyo)
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Speaker Author-1 
Date Time 2013-11-12 15:45:00 
Presentation Time 180 minutes 
Registration for IBISML 
Paper # IBISML2013-52 
Volume (vol) vol.113 
Number (no) no.286 
Page pp.123-130 
#Pages 8 
Date of Issue 2013-11-05 (IBISML) 

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