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We propose an end-to-end approach for solving inverse problems for a class of complex astronomical signals, namely Spectral Energy Distributions (SEDs). Our goal is to reconstruct such signals from scarce and/or unreliable measurements. We…

Instrumentation and Methods for Astrophysics · Physics 2020-12-14 Agapi Rissaki , Orestis Pavlou , Dimitris Fotakis , Vicky Papadopoulou , Andreas Efstathiou

Deep generative models have been studied and developed primarily in the context of natural images and computer vision. This has spurred the development of (Bayesian) methods that use these generative models for inverse problems in image…

Signal Processing · Electrical Eng. & Systems 2025-04-17 Tristan S. W. Stevens , Jeroen Overdevest , Oisín Nolan , Wessel L. van Nierop , Ruud J. G. van Sloun , Yonina C. Eldar

Geophysical inverse problems are often ill-posed and admit multiple solutions. Conventional discriminative methods typically yield a single deterministic solution, which fails to model the posterior distribution, cannot generate diverse…

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

Information Theory · Computer Science 2015-04-28 Ljubisa Stankovic , Milos Dakovic

This chapter develops a theoretical analysis of the convex programming method for recovering a structured signal from independent random linear measurements. This technique delivers bounds for the sampling complexity that are similar with…

Information Theory · Computer Science 2014-12-05 Joel A. Tropp

In recent years, Generative Adversarial Networks (GANs) have shown substantial progress in modeling complex distributions of data. These networks have received tremendous attention since they can generate implicit probabilistic models that…

Signal Processing · Electrical Eng. & Systems 2018-10-25 Mehdi Ahmadi , Timothy Nest , Mostafa Abdelnaim , Thanh-Dung Le

Recent research has proven neural networks to be a powerful tool for performing hyperspectral imaging (HSI) target identification. However, many deep learning frameworks deliver a single material class prediction and operate on a per-pixel…

Machine Learning · Computer Science 2025-08-14 Joshua R. Tempelman , Kevin Mitchell , Adam J. Wachtor , Eric B. Flynn

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Inertial sensor calibration plays a progressively important role in many areas of research among which navigation engineering. By performing this task accurately, it is possible to significantly increase general navigation performance by…

Signal Processing · Electrical Eng. & Systems 2021-11-01 Gaetan Bakalli , Davide A. Cucci , Ahmed Radi , Naser El-Sheimy , Roberto Molinari , Olivier Scaillet , Stéphane Guerrier

We present a novel method for image anomaly detection, where algorithms that use samples drawn from some distribution of "normal" data, aim to detect out-of-distribution (abnormal) samples. Our approach includes a combination of encoder and…

Image and Video Processing · Electrical Eng. & Systems 2020-03-02 Nina Tuluptceva , Bart Bakker , Irina Fedulova , Anton Konushin

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

Machine Learning · Computer Science 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

X-ray phase contrast imaging significantly improves the visualization of structures with weak or uniform absorption, broadening its applications across a wide range of scientific disciplines. Propagation-based phase contrast is particularly…

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann

We consider the problem of signal recovery on graphs as graphs model data with complex structure as signals on a graph. Graph signal recovery implies recovery of one or multiple smooth graph signals from noisy, corrupted, or incomplete…

Social and Information Networks · Computer Science 2015-10-28 Siheng Chen , Aliaksei Sandryhaila , José M. F. Moura , Jelena Kovačević

While generative modeling has become prevalent across numerous research fields, its integration into the realm of image retrieval remains largely unexplored and underjustified. In this paper, we present a novel methodology, reframing image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Yidan Zhang , Ting Zhang , Dong Chen , Yujing Wang , Qi Chen , Xing Xie , Hao Sun , Weiwei Deng , Qi Zhang , Fan Yang , Mao Yang , Qingmin Liao , Jingdong Wang , Baining Guo

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

The recovery of an unknown signal from its linear measurements is a fundamental problem spanning numerous scientific and engineering disciplines. Commonly, prior knowledge suggests that the underlying signal resides within a known algebraic…

Information Theory · Computer Science 2025-06-27 Zhiqiang Xu

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

Machine Learning · Statistics 2025-03-12 Tiago P. Peixoto

The increasingly wide use of deep machine learning techniques in computational mechanics has significantly accelerated simulations of problems that were considered unapproachable just a few years ago. However, in critical applications such…

Machine Learning · Computer Science 2026-04-01 David Gonzalez , Alba Muixi , Beatriz Moya , Elias Cueto