Showing math.OCShow all
3 papers · 1 filter
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.OC2025
Monotone Lipschitz-Gradient Denoiser: Explainability of Operator Regularization Approaches Free From Lipschitz Constant Control
Masahiro Yukawa, Isao Yamada
This paper addresses explainability of the operator-regularization approach under the use of monotone Lipschitz-gradient (MoL-Grad) denoiser -- an operator that can be expressed as…
math.OC2025
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…