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Paper Abstract and Keywords
Presentation 2026-03-04 11:40
A Design of Monotone Lipschitz Gradient Denoiser Using Diffusion Model: Towards Explainable Plug-and-Play Method for Image Restoration
Riki Suzuki, Masahiro Yukawa (Keio) EA2025-143 SIP2025-163 SP2025-96
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we present a systematic design of monotone Lipschitz-gradient (MoL-Grad) denoisers empowered by diffusion models. We derive conditions under which the sampling operators of denoising diffusion probabilistic models and another model relying on Tweedie's formula are MoL-Grad denoisers. This property ensures that plugging the denoiser into splitting algorithms leads to minimization of an objective function involving an implicit regularizer. An implementation of the proposed denoiser using the standard U-Net architecture is studied in detail. As our problem formulation is nonconvex due to the ill-conditionedness assumption of the degradation matrix, the half-quadratic splitting algorithm as well as the forward-backward splitting algorithm is employed. Simulations on the STL-10 dataset demonstrate the efficacy of the proposed PnP method both in stability and image restoration performance.
Keyword (in Japanese) (See Japanese page) 
(in English) diffusion Models / Plug-and-Play / proximal operator / weakly convex / image restoration / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 370, SIP2025-163, pp. 407-412, March 2026.
Paper # SIP2025-163 
Date of Issue 2026-02-23 (EA, SIP, SP) 
ISSN 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 EA2025-143 SIP2025-163 SP2025-96

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) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2026-03-SP-EA-SIP-SLP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Design of Monotone Lipschitz Gradient Denoiser Using Diffusion Model: Towards Explainable Plug-and-Play Method for Image Restoration 
Sub Title (in English)  
Keyword(1) diffusion Models  
Keyword(2) Plug-and-Play  
Keyword(3) proximal operator  
Keyword(4) weakly convex  
Keyword(5) image restoration  
Keyword(6)  
Keyword(7)  
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1st Author's Name Riki Suzuki  
1st Author's Affiliation Keio University (Keio)
2nd Author's Name Masahiro Yukawa  
2nd Author's Affiliation Keio University (Keio)
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Speaker Author-1 
Date Time 2026-03-04 11:40:00 
Presentation Time 20 minutes 
Registration for SIP 
Paper # EA2025-143, SIP2025-163, SP2025-96 
Volume (vol) vol.125 
Number (no) no.369(EA), no.370(SIP), no.371(SP) 
Page pp.407-412 
#Pages 6 
Date of Issue 2026-02-23 (EA, SIP, SP) 

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