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Paper Abstract and Keywords
Presentation 2026-03-25 11:20
Acceleration of deep equilibrium models based on Banach fixed point theorem
Naoki Sato, Hideaki Iiduka (Meiji Univ.) IBISML2025-50
Abstract (in Japanese) (See Japanese page) 
(in English) The Deep Equilibrium Model (DEQ) achieves infinitely deep network representations without stacking layers by exploring fixed points of layer transformations in neural networks. Despite requiring significantly less memory than conventional models, DEQ demonstrates performance comparable to state-of-the-art models in numerous large-scale numerical experiments. However, it faces the challenge of requiring enormous computational time for both training and inference compared to conventional models, as it performs fixed-point iterations with no convergence guarantee each time it receives input. This paper introduces an approach that improves fixed-point convergence and consequently reduces computational time by reconstructing the model architecture to guarantee fixed-point convergence.
Our proposed Lipschitz MDEQ for image classification theoretically guarantees fixed-point convergence in both the forward and backward passes through hyperparameter tuning. Numerical experiments on the CIFAR-10 dataset achieved up to 4.75x faster speedup at the cost of a slight accuracy drop.
Keyword (in Japanese) (See Japanese page) 
(in English) Deep equilibrium models / Banach fixed point theorem / Contractive mapping / / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 425, IBISML2025-50, pp. 67-74, March 2026.
Paper # IBISML2025-50 
Date of Issue 2026-03-17 (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 IBISML2025-50

Conference Information
Committee PRMU IPSJ-CVIM IBISML ITE-SIP  
Conference Date 2026-03-24 - 2026-03-25 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2026-03-PRMU-CVIM-IBISML-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Acceleration of deep equilibrium models based on Banach fixed point theorem 
Sub Title (in English)  
Keyword(1) Deep equilibrium models  
Keyword(2) Banach fixed point theorem  
Keyword(3) Contractive mapping  
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1st Author's Name Naoki Sato  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Hideaki Iiduka  
2nd Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2026-03-25 11:20:00 
Presentation Time 20 minutes 
Registration for IBISML 
Paper # IBISML2025-50 
Volume (vol) vol.125 
Number (no) no.425 
Page pp.67-74 
#Pages 8 
Date of Issue 2026-03-17 (IBISML) 

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