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Paper Abstract and Keywords
Presentation 2026-03-03 09:30
[Poster Presentation] Spline Knot Placement Under Noise Using a Cumulative Distribution Function
Rumoi Tanabe, Hiroki Arai, Daichi Kitahara (Keio Univ.) EA2025-110 SIP2025-130 SP2025-63
Abstract (in Japanese) (See Japanese page) 
(in English) Spline functions that are used for interpolation and smoothing of discrete data can give efficient data representations by treating knot positions as free variables, but finding the optimal knot positions is a difficult combinatorial optimization problem. A heuristic method using a cumulative distribution function (CDF) of differential features of input data can efficiently determine the spline knot placement. However, when the input data contains noise, nearly equally spaced knot positions are obtained since the difference calculation amplifies the noise. In this study, we propose to use spline smoothing before the difference calculation for noisy input data. Numerical experiments show that the proposed method with specific smoothing parameters gives better representations of the noise-free true data with fewer knots compared to the conventional method.
Keyword (in Japanese) (See Japanese page) 
(in English) Spline Function / Knot Placement / Denoising / Spline Smoothing / Smoothing Parameter / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 370, SIP2025-130, pp. 224-229, March 2026.
Paper # SIP2025-130 
Date of Issue 2026-02-23 (EA, SIP, SP) 
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 EA2025-110 SIP2025-130 SP2025-63

Conference Information
Committee SP EA SIP IPSJ-SLP  
Conference Date 2026-03-02 - 2026-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To SIP 
Conference Code 2026-03-SP-EA-SIP-SLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Spline Knot Placement Under Noise Using a Cumulative Distribution Function 
Sub Title (in English)  
Keyword(1) Spline Function  
Keyword(2) Knot Placement  
Keyword(3) Denoising  
Keyword(4) Spline Smoothing  
Keyword(5) Smoothing Parameter  
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Keyword(7)  
Keyword(8)  
1st Author's Name Rumoi Tanabe  
1st Author's Affiliation Keio University (Keio Univ.)
2nd Author's Name Hiroki Arai  
2nd Author's Affiliation Keio University (Keio Univ.)
3rd Author's Name Daichi Kitahara  
3rd Author's Affiliation Keio University (Keio Univ.)
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Speaker Author-1 
Date Time 2026-03-03 09:30:00 
Presentation Time 80 minutes 
Registration for SIP 
Paper # EA2025-110, SIP2025-130, SP2025-63 
Volume (vol) vol.125 
Number (no) no.369(EA), no.370(SIP), no.371(SP) 
Page pp.224-229 
#Pages 6 
Date of Issue 2026-02-23 (EA, SIP, SP) 

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