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Kernel methods are one of the mainstays of machine learning, but the problem of kernel learning remains challenging, with only a few heuristics and very little theory. This is of particular importance in methods based on estimation of…

Machine Learning · Statistics 2016-06-03 Seth Flaxman , Dino Sejdinovic , John P. Cunningham , Sarah Filippi

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Semi-supervised learning has the potential to improve the data-efficiency of training data-hungry deep neural networks, which is especially important for medical image analysis tasks where labeled data is scarce. In this work, we present a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Boon Peng Yap , Beng Koon Ng

In this paper, we consider the coefficient-based regularized distribution regression which aims to regress from probability measures to real-valued responses over a reproducing kernel Hilbert space (RKHS), where the regularization is put on…

Machine Learning · Statistics 2022-08-29 Yuan Mao , Lei Shi , Zheng-Chu Guo

This paper proposes a new way of regularizing an inverse problem in imaging (e.g., deblurring or inpainting) by means of a deep generative neural network. Compared to end-to-end models, such approaches seem particularly interesting since…

Computer Vision and Pattern Recognition · Computer Science 2021-01-22 Thomas Oberlin , Mathieu Verm

Data augmentation is one of the most popular techniques for improving the robustness of neural networks. In addition to directly training the model with original samples and augmented samples, a torrent of methods regularizing the distance…

Machine Learning · Computer Science 2020-11-30 Haohan Wang , Zeyi Huang , Xindi Wu , Eric P. Xing

We consider a distributed learning approach in supervised learning for a large class of spectral regularization methods in an RKHS framework. The data set of size n is partitioned into $m=O(n^\alpha)$ disjoint subsets. On each subset, some…

Statistics Theory · Mathematics 2017-08-10 Gilles Blanchard , Nicole Mücke

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

In this paper, we propose a sinogram inpainting network (SIN) to solve limited-angle CT reconstruction problem, which is a very challenging ill-posed issue and of great interest for several clinical applications. A common approach to the…

Medical Physics · Physics 2018-11-12 Ji Zhao , Zhiqiang Chen , Li Zhang , Xin Jin

For image super-resolution (SR), bridging the gap between the performance on synthetic datasets and real-world degradation scenarios remains a challenge. This work introduces a novel "Low-Res Leads the Way" (LWay) training framework,…

Image and Video Processing · Electrical Eng. & Systems 2024-03-06 Haoyu Chen , Wenbo Li , Jinjin Gu , Jingjing Ren , Haoze Sun , Xueyi Zou , Zhensong Zhang , Youliang Yan , Lei Zhu

This review provides an introduction to - and overview of - the current state of the art in neural-network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied…

Optimization and Control · Mathematics 2023-12-25 Andreas Habring , Martin Holler

Learning convolution kernels in operators from data arises in numerous applications and represents an ill-posed inverse problem of broad interest. With scant prior information, kernel methods offer a natural nonparametric approach with…

Numerical Analysis · Mathematics 2025-07-17 Haibo Li , Fei Lu

We present a general framework of semi-supervised dimensionality reduction for manifold learning which naturally generalizes existing supervised and unsupervised learning frameworks which apply the spectral decomposition. Algorithms derived…

Machine Learning · Computer Science 2009-07-29 Ratthachat Chatpatanasiri , Boonserm Kijsirikul

By absorbing the merits of both the model- and data-driven methods, deep physics-engaged learning scheme achieves high-accuracy and interpretable image reconstruction. It has attracted growing attention and become the mainstream for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Bin Chen , Jiechong Song , Jingfen Xie , Jian Zhang

Self-supervised learning (SSL) has become a popular method for generating invariant representations without the need for human annotations. Nonetheless, the desired invariant representation is achieved by utilising prior online…

Machine Learning · Computer Science 2024-09-30 Foivos Ntelemis , Yaochu Jin , Spencer A. Thomas

Efficient training strategies for large-scale diffusion models have recently emphasized the importance of improving discriminative feature representations in these models. A central line of work in this direction is representation alignment…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Junno Yun , Yaşar Utku Alçalar , Mehmet Akçakaya

In numerous practical applications, especially in medical image reconstruction, it is often infeasible to obtain a large ensemble of ground-truth/measurement pairs for supervised learning. Therefore, it is imperative to develop unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Subhadip Mukherjee , Ozan Öktem , Carola-Bibiane Schönlieb

Self-supervised learning (SSL) has emerged as a powerful paradigm for learning representations without labeled data. Most SSL approaches rely on strong, well-established, handcrafted data augmentations to generate diverse views for…

Machine Learning · Computer Science 2026-01-16 Berken Utku Demirel , Christian Holz

Recent empirical work has shown that hierarchical convolutional kernels inspired by convolutional neural networks (CNNs) significantly improve the performance of kernel methods in image classification tasks. A widely accepted explanation…

Machine Learning · Statistics 2022-06-06 Theodor Misiakiewicz , Song Mei

The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples ($n \to \infty$). The next phase is likely to focus on algorithms capable of learning from very few labeled…

Computer Vision and Pattern Recognition · Computer Science 2014-03-12 Fabio Anselmi , Joel Z. Leibo , Lorenzo Rosasco , Jim Mutch , Andrea Tacchetti , Tomaso Poggio