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math.OC2025
Plugging Weight-tying Nonnegative Neural Network into Proximal Splitting Method: Architecture for Guaranteeing Convergence to Optimal Point
Haruya Shimizu, Masahiro Yukawa
We propose a novel multi-layer neural network architecture that gives a promising neural network empowered optimization approach to the image restoration problem. The proposed arch…
math.OC2024
Continuous Relaxation of Discontinuous Shrinkage Operator: Proximal Inclusion and Conversion
Masahiro Yukawa
We present a principled way of deriving a continuous relaxation of a given discontinuous shrinkage operator, which is based on two fundamental results, proximal inclusion and conve…