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Artificial intelligence (AI) has transformed imaging inverse problems, from medical diagnostics to Earth observation. Yet deep neural networks can produce hallucinations, realistic-looking but incorrect details, undermining their…

Machine Learning · Statistics 2026-05-14 David Iagaru , Nina M. Gottschling , Anders C. Hansen , Josselin Garnier

Tomographic image reconstruction is generally an ill-posed linear inverse problem. Such ill-posed inverse problems are typically regularized using prior knowledge of the sought-after object property. Recently, deep neural networks have been…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Sayantan Bhadra , Varun A. Kelkar , Frank J. Brooks , Mark A. Anastasio

Diffusion models, despite their impressive demos, often produce hallucinatory samples with structural inconsistencies that lie outside of the support of the true data distribution. Such hallucinations can be attributed to excessive…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Kostas Triaridis , Alexandros Graikos , Aggelina Chatziagapi , Grigorios G. Chrysos , Dimitris Samaras

Classic image-restoration algorithms use a variety of priors, either implicitly or explicitly. Their priors are hand-designed and their corresponding weights are heuristically assigned. Hence, deep learning methods often produce superior…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Majed El Helou , Sabine Süsstrunk

Contemporary face hallucination (FH) models exhibit considerable ability to reconstruct high-resolution (HR) details from low-resolution (LR) face images. This ability is commonly learned from examples of corresponding HR-LR image pairs,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Klemen Grm , Martin Pernuš , Leo Cluzel , Walter Scheirer , Simon Dobrišek , Vitomir Štruc

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

Instrumentation and Methods for Astrophysics · Physics 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

In this paper we address the problem of hallucinating high-resolution facial images from unaligned low-resolution inputs at high magnification factors. We approach the problem with convolutional neural networks (CNNs) and propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2019-02-12 Klemen Grm , Simon Dobrišek , Walter J. Scheirer , Vitomir Štruc

With fast developments in computational power and algorithms, deep learning has made breakthroughs and been applied in many fields. However, generalization remains to be a critical challenge, and the limited generalization capability…

Inverse problems arise in a number of domains such as medical imaging, remote sensing, and many more, relying on the use of advanced signal and image processing approaches -- such as sparsity-driven techniques -- to determine their…

Machine Learning · Computer Science 2019-02-01 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

We show that language models hallucinate not because they fail to detect uncertainty, but because of a failure to integrate it into output generation. Across architectures, uncertain inputs are reliably identified, occupying…

Artificial Intelligence · Computer Science 2026-03-17 Valeria Ruscio , Keiran Thompson

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

Machine Learning · Computer Science 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

Numerical Analysis · Mathematics 2020-06-09 Markus Haltmeier , Linh V. Nguyen

Whole slide image (WSI) normalization remains a vital preprocessing step in computational pathology. Increasingly driven by deep learning, these models learn to approximate data distributions from training examples. This often results in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Karel Moens , Matthew B. Blaschko , Tinne Tuytelaars , Bart Diricx , Jonas De Vylder , Mustafa Yousif

Deep learning-based methods have recently achieved significant success in image reconstruction problems. However, challenges have emerged, as these methods may generate unrealistic artifacts or hallucinations, which can interfere with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Jianfei Li , Ines Rosellon-Inclan , Gitta Kutyniok , Jean-Luc Starck

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

Uncertainty quantification in inverse medical imaging tasks with deep learning has received little attention. However, deep models trained on large data sets tend to hallucinate and create artifacts in the reconstructed output that are not…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Max-Heinrich Laves , Malte Tölle , Tobias Ortmaier

Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging, remote sensing, and material sciences. These problems serve…

Numerical Analysis · Mathematics 2025-06-16 Carola-Bibiane Schönlieb , Zakhar Shumaylov

Deep models have achieved impressive performance for face hallucination tasks. However, we observe that directly feeding the hallucinated facial images into recog- nition models can even degrade the recognition performance despite the much…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Junyu Wu , Shengyong Ding , Wei Xu , Hongyang Chao

Generative models are increasingly used to improve the quality of medical imaging, such as reconstruction of magnetic resonance images and computed tomography. However, it is well-known that such models are susceptible to hallucinations:…

Image and Video Processing · Electrical Eng. & Systems 2026-02-24 Suna Buğday , Yvan Saeys , Jonathan Peck

Face hallucination, which is the task of generating a high-resolution face image from a low-resolution input image, is a well-studied problem that is useful in widespread application areas. Face hallucination is particularly challenging…

Computer Vision and Pattern Recognition · Computer Science 2016-04-28 Oncel Tuzel , Yuichi Taguchi , John R. Hershey
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