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Paper Abstract and Keywords
Presentation 2024-03-04 11:25
Joint Estimation of Differential Equations and Latent Event Types from Temporal Point Processes
Shuichi Miyazawa (SOKENDAI), Daichi Mochihashi (ISM) IBISML2023-50
Abstract (in Japanese) (See Japanese page) 
(in English) Ordinary differential equations (ODEs) help the interpretation of phenomena in various scientific fields. ODEs are often applied to numerical data, but we proposed a modeling method using ODEs for sequences of events occurring in con- tinuous time (temporal point processes). Here, event series with labels indicating the type of components of the nonlinear dynamical system described by the ODEs are required, but in real settings, there are many event series that do not have such labels explicitly. Real event data is often accompanied by covariates, e.g., abstracts of inventions in patent applications. Such additional information, called marks, is useful for identifying latent event types. Therefore, we propose a method for modeling the generating process of event series by ODEs, using marks to estimate latent event types for event series without explicit labels indicating the components of the ODEs. The proposed method can be considered as an extension of latent Poisson process allocation, where each event is assigned to one of a set of latent Poisson processes, using ODEs. We demonstrated that the proposed method can estimate and recover latent event types and parameters of ODE using simulated data, and showed the applicability of the proposed method to a real problem using the USPTO patent datase
Keyword (in Japanese) (See Japanese page) 
(in English) Ordinary Differential Equations / Temporal Point Processes / Gaussian Processes / Gradient Matching / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 410, IBISML2023-50, pp. 71-78, March 2024.
Paper # IBISML2023-50 
Date of Issue 2024-02-25 (IBISML) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
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 IBISML2023-50

Conference Information
Committee PRMU IBISML IPSJ-CVIM  
Conference Date 2024-03-03 - 2024-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Hiroshima Univ. Higashi-Hiroshima campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2024-03-PRMU-IBISML-CVIM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Joint Estimation of Differential Equations and Latent Event Types from Temporal Point Processes 
Sub Title (in English)  
Keyword(1) Ordinary Differential Equations  
Keyword(2) Temporal Point Processes  
Keyword(3) Gaussian Processes  
Keyword(4) Gradient Matching  
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1st Author's Name Shuichi Miyazawa  
1st Author's Affiliation The Graduate University for Advanced Studies (SOKENDAI)
2nd Author's Name Daichi Mochihashi  
2nd Author's Affiliation The Institute of Statistical Mathematics (ISM)
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Speaker Author-1 
Date Time 2024-03-04 11:25:00 
Presentation Time 15 minutes 
Registration for IBISML 
Paper # IBISML2023-50 
Volume (vol) vol.123 
Number (no) no.410 
Page pp.71-78 
#Pages 8 
Date of Issue 2024-02-25 (IBISML) 

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