Distributed Forward-Backward Methods for Ring Networks

التفاصيل البيبلوغرافية
العنوان: Distributed Forward-Backward Methods for Ring Networks
المؤلفون: Aragón-Artacho, Francisco J., Malitsky, Yura, Tam, Matthew K., Torregrosa-Belén, David
سنة النشر: 2021
مصطلحات موضوعية: Mathematics - Optimization and Control, Computer Science - Distributed, Parallel, and Cluster Computing
الوصف: In this work, we propose and analyse forward-backward-type algorithms for finding a zero of the sum of finitely many monotone operators, which are not based on reduction to a two operator inclusion in the product space. Each iteration of the studied algorithms requires one resolvent evaluation per set-valued operator, one forward evaluation per cocoercive operator, and two forward evaluations per monotone operator. Unlike existing methods, the structure of the proposed algorithms are suitable for distributed, decentralised implementation in ring networks without needing global summation to enforce consensus between nodes.
Comment: 19 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2112.00274
رقم الأكسشن: edsarx.2112.00274
قاعدة البيانات: arXiv