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The high complexity of various inverse problems poses a significant challenge to model-based reconstruction schemes, which in such situations often reach their limits. At the same time, we witness an exceptional success of data-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 T. A. Bubba , G. Kutyniok , M. Lassas , M. März , W. Samek , S. Siltanen , V. Srinivasan

We consider solving ill-posed imaging inverse problems without access to an explicit image prior or ground-truth examples. An overarching challenge in inverse problems is that there are many undesired images that fit to the observed…

Image and Video Processing · Electrical Eng. & Systems 2023-03-23 Angela F. Gao , Oscar Leong , He Sun , Katherine L. Bouman

We consider the variational reconstruction framework for inverse problems and propose to learn a data-adaptive input-convex neural network (ICNN) as the regularization functional. The ICNN-based convex regularizer is trained adversarially…

The goal of 2D tomographic reconstruction is to recover an image given its projections from various views. It is often presumed that projection angles associated with the projections are known in advance. Under certain situations, however,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-16 Mona Zehni , Zhizhen Zhao

Unsupervised meta-learning aims to learn feature representations from unsupervised datasets that can transfer to downstream tasks with limited labeled data. In this paper, we propose a novel approach to unsupervised meta-learning that…

Machine Learning · Computer Science 2025-02-11 Anna Vettoruzzo , Lorenzo Braccaioli , Joaquin Vanschoren , Marlena Nowaczyk

Learning-based and data-driven techniques have recently become a subject of primary interest in the field of reconstruction and regularization of inverse problems. Besides the development of novel methods, yielding excellent results in…

Machine Learning · Statistics 2023-12-22 Luca Ratti

Intrinsic image decomposition, which is an essential task in computer vision, aims to infer the reflectance and shading of the scene. It is challenging since it needs to separate one image into two components. To tackle this, conventional…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Yunfei Liu , Yu Li , Shaodi You , Feng Lu

Learning-based methods for inverse problems, adapting to the data's inherent structure, have become ubiquitous in the last decade. Besides empirical investigations of their often remarkable performance, an increasing number of works…

Numerical Analysis · Mathematics 2023-07-21 Clemens Arndt , Sören Dittmer , Nick Heilenkötter , Meira Iske , Tobias Kluth , Judith Nickel

A good representation for arbitrarily complicated data should have the capability of semantic generation, clustering and reconstruction. Previous research has already achieved impressive performance on either one. This paper aims at…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Yuqian Zhou , Kuangxiao Gu , Thomas Huang

We propose a novel learning-based approach for robust 3D shape matching. Our method builds upon deep functional maps and can be trained in a fully unsupervised manner. Previous deep functional map methods mainly focus on predicting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

Tomographic imaging is in general an ill-posed inverse problem. Typically, a single regularized image estimate of the sought-after object is obtained from tomographic measurements. However, there may be multiple objects that are all…

Image and Video Processing · Electrical Eng. & Systems 2022-07-28 Sayantan Bhadra , Umberto Villa , Mark A. Anastasio

Recent attempts to use deep learning for super-resolution reconstruction of turbulent flows have used supervised learning, which requires paired data for training. This limitation hinders more practical applications of super-resolution…

Fluid Dynamics · Physics 2021-02-03 Hyojin Kim , Junhyuk Kim , Sungjin Won , Changghoon Lee

Estimating correspondences between pairs of non-rigid deformable 3D shapes remains a significant challenge in computer vision and graphics. While deep functional map methods have become the go-to solution for addressing this problem, they…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Feifan Luo , Hongyang Chen

Employing deep neural networks as natural image priors to solve inverse problems either requires large amounts of data to sufficiently train expressive generative models or can succeed with no data via untrained neural networks. However,…

Machine Learning · Computer Science 2019-10-25 Oscar Leong , Wesam Sakla

Iterative learning to infer approaches have become popular solvers for inverse problems. However, their memory requirements during training grow linearly with model depth, limiting in practice model expressiveness. In this work, we propose…

Machine Learning · Computer Science 2019-11-26 Patrick Putzky , Max Welling

In various imaging problems, we only have access to compressed measurements of the underlying signals, hindering most learning-based strategies which usually require pairs of signals and associated measurements for training. Learning only…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Dongdong Chen , Julián Tachella , Mike E. Davies

Deep learning-based models have demonstrated remarkable success in solving illposed inverse problems; however, many fail to strictly adhere to the physical constraints imposed by the measurement process. In this work, we introduce a…

Machine Learning · Computer Science 2025-05-22 Jorge Bacca

Neural networks have become a prominent approach to solve inverse problems in recent years. While a plethora of such methods was developed to solve inverse problems empirically, we are still lacking clear theoretical guarantees for these…

Machine Learning · Computer Science 2024-03-19 Nathan Buskulic , Jalal Fadili , Yvain Quéau

Traditional maximum entropy and sparsity-based algorithms for analytic continuation often suffer from the ill-posed kernel matrix or demand tremendous computation time for parameter tuning. Here we propose a neural network method by convex…

Machine Learning · Computer Science 2022-02-07 Dongchen Huang , Yi-feng Yang

Statistical inverse learning aims at recovering an unknown function $f$ from randomly scattered and possibly noisy point evaluations of another function $g$, connected to $f$ via an ill-posed mathematical model. In this paper we blend…

Statistics Theory · Mathematics 2024-01-22 Tapio Helin