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It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, popular regularization methods have been the penalized Variational approaches. In recent years, the…

Machine Learning · Computer Science 2022-02-17 Abinash Nayak

Equivariant neural networks are designed to respect symmetries through their architecture, boosting generalization and sample efficiency when those symmetries are present in the data distribution. Real-world data, however, often departs…

Machine Learning · Computer Science 2025-12-12 Andrei Manolache , Luiz F. O. Chamon , Mathias Niepert

In recent years Plug-and-Play (PnP) methods have achieved state-of-the-art performance in inverse imaging problems by replacing proximal operators with denoisers. Based on the proximal gradient method, some theoretical results of PnP have…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Shuchang Zhang , Hongxia Wang

In inverse problems we aim to reconstruct some underlying signal of interest from potentially corrupted and often ill-posed measurements. Classical optimization-based techniques proceed by optimizing a data consistency metric together with…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Peimeng Guan , Jihui Jin , Justin Romberg , Mark A. Davenport

We study the problem of computing optimal correlated equilibria (CEs) in infinite-horizon multi-player stochastic games, where correlation signals are provided over time. In this setting, optimal CEs require history-dependent policies; this…

Computer Science and Game Theory · Computer Science 2025-06-10 Jiarui Gan , Rupak Majumdar

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

In plug-and-play (PnP) regularization, the proximal operator in algorithms such as ISTA and ADMM is replaced by a powerful denoiser. This formal substitution works surprisingly well in practice. In fact, PnP has been shown to give…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Chirayu D. Athalye , Kunal N. Chaudhury , Bhartendu Kumar

We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by…

Optimization and Control · Mathematics 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

Nash Equilibrium (NE) is the canonical solution concept of game theory, which provides an elegant tool to understand the rationalities. Though mixed strategy NE exists in any game with finite players and actions, computing NE in two- or…

Computer Science and Game Theory · Computer Science 2024-05-07 Xinrun Wang , Chang Yang , Shuxin Li , Pengdeng Li , Xiao Huang , Hau Chan , Bo An

Optical coherence tomography (OCT) is pivotal in corneal imaging for both surgical planning and diagnosis. However, high-speed acquisitions often degrade spatial resolution and increase speckle noise, posing challenges for accurate…

Image and Video Processing · Electrical Eng. & Systems 2026-02-04 Yaning Wang , Jinglun Yu , Wenhan Guo , Ziyi Huang , Rosalinda Xiong , Yu Sun , Jin U. Kang

In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

Optimization and Control · Mathematics 2024-11-05 Arghya Sinha , Kunal N Chaudhury

The Retinex model is one of the most representative and effective methods for low-light image enhancement. However, the Retinex model does not explicitly tackle the noise problem, and shows unsatisfactory enhancing results. In recent years,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-20 Tingting Wu , Wenna Wu , Ying Yang , Feng-Lei Fan , Tieyong Zeng

It is known that the minimum-mean-squared-error (MMSE) denoiser under Gaussian noise can be written as a proximal operator, which suffices for asymptotic convergence of plug-and-play (PnP) methods but does not reveal the structure of the…

Optimization and Control · Mathematics 2026-04-06 Henry Pritchard , Rahul Parhi

Multi-dimensional images, such as color images and multi-spectral images, are highly correlated and contain abundant spatial and spectral information. However, real-world multi-dimensional images are usually corrupted by missing entries. By…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Xi-Le Zhao , Wen-Hao Xu , Tai-Xiang Jiang , Yao Wang , Michael Ng

This study proposes median consensus embedding (MCE) to address variability in low-dimensional embeddings caused by random initialization in nonlinear dimensionality reduction techniques such as $t$-distributed stochastic neighbor…

Machine Learning · Statistics 2025-12-10 Yui Tomo , Daisuke Yoneoka

Model merging aims to combine multiple task-specific expert models into a single model while preserving generalization across diverse tasks. However, interference among experts, especially when they are trained on different objectives,…

Computation and Language · Computer Science 2026-04-09 Bo Xu , Haotian Wu , Hehai Lin , Weiquan Huang , Beier Zhu , Yao Shu , Chengwei Qin

Correlated Equilibrium (CE) is a well-established solution concept that captures coordination among agents and enjoys good algorithmic properties. In real-world multi-agent systems, in addition to being in an equilibrium, agents' policies…

Artificial Intelligence · Computer Science 2023-02-17 Libo Zhang , Yang Chen , Toru Takisaka , Bakh Khoussainov , Michael Witbrock , Jiamou Liu

Given a set of image denoisers, each having a different denoising capability, is there a provably optimal way of combining these denoisers to produce an overall better result? An answer to this question is fundamental to designing an…

Computer Vision and Pattern Recognition · Computer Science 2019-03-01 Joon Hee Choi , Omar Elgendy , Stanley H. Chan

Regularization is a critical technique for ensuring well-posedness in solving inverse problems with incomplete measurement data. Traditionally, the regularization term is designed based on prior knowledge of the unknown signal's…

Numerical Analysis · Mathematics 2024-12-16 Bosu Choi , Jihun Han , Yoonsang Lee

Recent work has shown the effectiveness of the plug-and-play priors (PnP) framework for regularized image reconstruction. However, the performance of PnP depends on the quality of the denoisers used as priors. In this letter, we design a…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Guangxiao Song , Yu Sun , Jiaming Liu , Zhijie Wang , Ulugbek S. Kamilov