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Deep learning has been recently shown to improve performance in the domain of synthetic aperture sonar (SAS) image classification. Given the constant resolution with range of a SAS, it is no surprise that deep learning techniques perform so…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Isaac D. Gerg , Vishal Monga

The deep image prior showed that a randomly initialized network with a suitable architecture can be trained to solve inverse imaging problems by simply optimizing it's parameters to reconstruct a single degraded image. However, it suffers…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Zenglin Shi , Pascal Mettes , Subhransu Maji , Cees G. M. Snoek

Proximal operators are ubiquitous in inverse problems, commonly appearing as part of algorithmic strategies to regularize problems that are otherwise ill-posed. Modern deep learning models have been brought to bear for these tasks too, as…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Zhenghan Fang , Sam Buchanan , Jeremias Sulam

This paper studies a type of image priors that are constructed implicitly through the alternating direction method of multiplier (ADMM) algorithm, called the algorithm-induced prior. Different from classical image priors which are defined…

Computer Vision and Pattern Recognition · Computer Science 2016-02-03 Stanley H. Chan

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrained optimization problem, where a regularization function is…

Optimization and Control · Mathematics 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

We propose a novel deep learning method which combines classical regularization with data augmentation for estimating myelin water fraction (MWF) in the brain via biexponential analysis. Our aim is to design an accurate deep learning…

Quantitative Methods · Quantitative Biology 2025-01-31 Mirage Modi , Shashank Sule , Jonathan Palumbo , Michael Rozowski , Mustapha Bouhrara , Wojciech Czaja , Richard G. Spencer

Seismic processing often requires suppressing multiples that appear when collecting data. To tackle these artifacts, practitioners usually rely on Radon transform-based algorithms as post-migration gather conditioning. However, such…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Ricard Durall , Ammar Ghanim , Norman Ettrich , Janis Keuper

The characteristic feature of inverse problems is their instability with respect to data perturbations. In order to stabilize the inversion process, regularization methods have to be developed and applied. In this work we introduce and…

Numerical Analysis · Mathematics 2022-08-22 Andrea Ebner , Jürgen Frikel , Dirk Lorenz , Johannes Schwab , Markus Haltmeier

We examine the necessity of interpolation in overparameterized models, that is, when achieving optimal predictive risk in machine learning problems requires (nearly) interpolating the training data. In particular, we consider simple…

Machine Learning · Statistics 2022-06-17 Chen Cheng , John Duchi , Rohith Kuditipudi

Dropout and other feature noising schemes control overfitting by artificially corrupting the training data. For generalized linear models, dropout performs a form of adaptive regularization. Using this viewpoint, we show that the dropout…

Machine Learning · Statistics 2013-11-04 Stefan Wager , Sida Wang , Percy Liang

We develop a new method for regularising neural networks. We learn a probability distribution over the activations of all layers of the model and then insert imputed values into the network during training. We obtain a posterior for an…

Machine Learning · Computer Science 2019-10-14 Matthew Willetts , Alexander Camuto , Stephen Roberts , Chris Holmes

In video super-resolution, it is common to use a frame-wise alignment to support the propagation of information over time. The role of alignment is well-studied for low-level enhancement in video, but existing works overlook a critical step…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Kai Xu , Ziwei Yu , Xin Wang , Michael Bi Mi , Angela Yao

The cost of manual data labeling can be a significant obstacle in supervised learning. Data programming (DP) offers a weakly supervised solution for training dataset creation, wherein the outputs of user-defined programmatic labeling…

Machine Learning · Computer Science 2023-10-26 Jacqueline R. M. A. Maasch , Hao Zhang , Qian Yang , Fei Wang , Volodymyr Kuleshov

Seismic velocity filtering is a critical technique in seismic exploration, designed to enhance the quality of effective signals by suppressing or eliminating interference waves. Traditional transform-domain methods, such as…

Geophysics · Physics 2025-04-29 Xiaobin Li , Qiaomu Qi , Le Li , Rubing Deng

Deep convolutional networks are vulnerable to image translation or shift, partly due to common down-sampling layers, e.g., max-pooling and strided convolution. These operations violate the Nyquist sampling rate and cause aliasing. The…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Md Tahmid Hossain , Shyh Wei Teng , Ferdous Sohel , Guojun Lu

Migration-based earthquake location methods may encounter the polarity reversal issue due to the non-explosive components of seismic source, leading to an unfocused migration image. Various methods have been proposed, yet producing an…

Geophysics · Physics 2023-04-17 Wenhuan Kuang , Jie Zhang , Wei Zhang

Denoising and filtering are widely used in routine seismic-data-processing to improve the signal-to-noise ratio (SNR) of recorded signals and by doing so to improve subsequent analyses. In this paper we develop a new denoising/decomposition…

Geophysics · Physics 2020-01-08 Weiqiang Zhu , S. Mostafa Mousavi , Gregory C. Beroza

The analytical deep image prior (ADP) introduced by Dittmer et al. (2020) establishes a link between deep image priors and classical regularization theory via bilevel optimization. While this is an elegant construction, it involves…

Optimization and Control · Mathematics 2025-05-20 Mohammad Sadegh Salehi , Tatiana A. Bubba , Yury Korolev

Acquiring downlink channel state information (CSI) at the base station is vital for optimizing performance in massive Multiple input multiple output (MIMO) Frequency-Division Duplexing (FDD) systems. While deep learning architectures have…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Yu-Chien Lin , Yan Xin , Ta-Sung Lee , Charlie , Zhang , Zhi Ding