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Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

Machine Learning · Computer Science 2019-07-09 Reinhard Heckel

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

Machine Learning · Computer Science 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Most modern imaging systems incorporate a computational pipeline to infer the image of interest from acquired measurements. The Bayesian approach to solve such ill-posed inverse problems involves the characterization of the posterior…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Pakshal Bohra , Thanh-an Pham , Jonathan Dong , Michael Unser

An accurate velocity model is essential to make a good seismic image. Conventional methods to perform Velocity Model Building (VMB) tasks rely on inverse methods, which, despite being widely used, are ill-posed problems that require intense…

Ill-posed inverse problems are commonplace in biomedical image processing. Their solution typically requires imposing prior knowledge about the latent ground truth. While this regularizes the problem to an extent where it can be solved, it…

Computer Vision and Pattern Recognition · Computer Science 2014-09-05 Yuanhao Gong , Ivo F. Sbalzarini

Deep Convolutional Neural Networks (CNN) have exhibited superior performance in many visual recognition tasks including image classification, object detection, and scene label- ing, due to their large learning capacity and resistance to…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Miao Sun , Tony X. Han , Xun Xu , Ming-Chang Liu , Ahmad Khodayari-Rostamabad

We present a CNN-based predictive lossless compression scheme for raw color mosaic images of digital cameras. This specialized application problem was previously understudied but it is now becoming increasingly important, because modern CNN…

Image and Video Processing · Electrical Eng. & Systems 2020-01-29 Seyed Mehdi Ayyoubzadeh , Xiaolin Wu

Probabilistic neural networks are typically modeled with independent weight priors, which do not capture weight correlations in the prior and do not provide a parsimonious interface to express properties in function space. A desirable class…

Machine Learning · Statistics 2020-02-12 Theofanis Karaletsos , Thang D. Bui

Deep neural networks have become a foundational tool for addressing imaging inverse problems. They are typically trained for a specific task, with a supervised loss to learn a mapping from the observations to the image to recover. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Matthieu Terris , Thomas Moreau

Convolutional neural networks are now seeing widespread use in a variety of fields, including image classification, facial and object recognition, medical imaging analysis, and many more. In addition, there are applications such as…

Machine Learning · Computer Science 2023-04-13 Hamza Boukraichi , Nissrine Akkari , Fabien Casenave , David Ryckelynck

The prediction of salient areas in images has been traditionally addressed with hand-crafted features based on neuroscience principles. This paper, however, addresses the problem with a completely data-driven approach by training a…

Computer Vision and Pattern Recognition · Computer Science 2016-03-03 Junting Pan , Kevin McGuinness , Elisa Sayrol , Noel O'Connor , Xavier Giro-i-Nieto

Unsupervised deep learning methods for solving audio restoration problems extensively rely on carefully tailored neural architectures that carry strong inductive biases for defining priors in the time or spectral domain. In this context,…

One of the key elements of probabilistic seismic risk assessment studies is the fragility curve, which represents the conditional probability of failure of a mechanical structure for a given scalar measure derived from seismic ground…

Applications · Statistics 2024-04-17 Antoine Van Biesbroeck , Clement Gauchy , Cyril Feau , Josselin Garnier

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve the quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. In PDI, a deep…

Image and Video Processing · Electrical Eng. & Systems 2021-03-16 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

A common approach to solve inverse imaging problems relies on finding a maximum a posteriori (MAP) estimate of the original unknown image, by solving a minimization problem. In thiscontext, iterative proximal algorithms are widely used,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Hoang Trieu Vy Le , Audrey Repetti , Nelly Pustelnik

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

While deep Convolutional Neural Networks (CNNs) have shown extraordinary capability of modelling specific noise and denoising, they still perform poorly on real-world noisy images. The main reason is that the real-world noise is more…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Yiyun Zhao , Zhuqing Jiang , Aidong Men , Guodong Ju

Full Waveform Inversion (FWI) is a technique employed to attain a high resolution subsurface velocity model. However, FWI results are effected by the limited illumination of the model domain and the quality of that illumination, which is…

Geophysics · Physics 2024-08-20 Lingyun Yang , Omar M. Saad , Guochen Wu , Tariq Alkhalifah