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Large-scale dynamic inverse problems are often ill-posed due to model complexity and the high dimensionality of the unknown parameters. Regularization is commonly employed to mitigate ill-posedness by incorporating prior information and…

Numerical Analysis · Mathematics 2026-01-21 Aryeh Keating , Mirjeta Pasha

Numerous studies have demonstrated the susceptibility of deep neural networks (DNNs) to subtle adversarial perturbations, prompting the development of many advanced adversarial defense methods aimed at mitigating adversarial attacks.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Linyu Tang , Lei Zhang

In recent years, coordinate-based neural implicit representations have shown promising results for the task of Simultaneous Localization and Mapping (SLAM). While achieving impressive performance on small synthetic scenes, these methods…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Kunyi Li , Michael Niemeyer , Nassir Navab , Federico Tombari

Cardiac magnetic resonance imaging (CMR) is a noninvasive imaging modality that provides a comprehensive evaluation of the cardiovascular system. The clinical utility of CMR is hampered by long acquisition times, however. In this work, we…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Sizhuo Liu , Edward Reehorst , Philip Schniter , Rizwan Ahmad

Video Snapshot compressive imaging (SCI) is a promising technique to capture high-speed videos, which transforms the imaging speed from the detector to mask modulating and only needs a single measurement to capture multiple frames. The…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan

Many material and biological samples in scientific imaging are characterized by non-local repeating structures. These are studied using scanning electron microscopy and electron tomography. Sparse sampling of individual pixels in a 2D image…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Suhas Sreehari , S. V. Venkatakrishnan , Brendt Wohlberg , Lawrence F. Drummy , Jeffrey P. Simmons , Charles A. Bouman

This paper presents a novel deformable registration framework, leveraging an image prior specified through a denoising function, for severely noise-corrupted placental images. Recent work on plug-and-play (PnP) priors has shown the…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Jiarui Xing , Ulugbek Kamilov , Wenjie Wu , Yong Wang , Miaomiao Zhang

This paper presents an examination of State Space Models (SSM) and Koopman-based deep learning methods for modelling the dynamics of both linear and non-linear stiff strings. Through experiments with datasets generated under different…

Sound · Computer Science 2024-08-30 Rodrigo Diaz , Carlos De La Vega Martin , Mark Sandler

In this paper we present an active-set method for the solution of $\ell_1$-regularized convex quadratic optimization problems. It is derived by combining a proximal method of multipliers (PMM) strategy with a standard semismooth Newton…

Optimization and Control · Mathematics 2023-03-01 Spyridon Pougkakiotis , Jacek Gondzio , Dionysios S. Kalogerias

We propose a state-of-the-art method for super-resolution with non-uniform blur. Single-image super-resolution methods seek to restore a high-resolution image from blurred, subsampled, and noisy measurements. Despite their impressive…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Charles Laroche , Andrés Almansa , Matias Tassano

We propose the *State Space Neural Operator* (SS-NO), a compact architecture for learning solution operators of time-dependent partial differential equations (PDEs). Our formulation extends structured state space models (SSMs) to joint…

Machine Learning · Computer Science 2026-03-09 Nodens Koren , Samuel Lanthaler

Models including two $L^1$ -norm terms have been widely used in image restoration. In this paper we first propose the alternating direction method of multipliers (ADMM) to solve this class of models. Based on ADMM, we then propose the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Zhi-Feng Pang , Li-Lian Wang , Yu-Fei Yang

In this paper we analyze the Gradient-Step Denoiser and its usage in Plug-and-Play algorithms. The Plug-and-Play paradigm of optimization algorithms uses off the shelf denoisers to replace a proximity operator or a gradient descent operator…

Machine Learning · Computer Science 2025-09-15 Vincent Herfeld , Baudouin Denis de Senneville , Arthur Leclaire , Nicolas Papadakis

Coherent imaging systems, such as medical ultrasound and synthetic aperture radar (SAR), are subject to corruption from speckle due to sub-resolution scatterers. Since speckle is multiplicative in nature, the constituent image regions…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Soumee Guha , Scott T. Acton

Traditional approaches to stereo visual SLAM rely on point features to estimate the camera trajectory and build a map of the environment. In low-textured environments, though, it is often difficult to find a sufficient number of reliable…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Ruben Gomez-Ojeda , David Zuñiga-Noël , Francisco-Angel Moreno , Davide Scaramuzza , Javier Gonzalez-Jimenez

We study the combination of the alternating direction method of multipliers (ADMM) with physics-informed neural networks (PINNs) for a general class of nonsmooth partial differential equation (PDE)-constrained optimization problems, where…

Optimization and Control · Mathematics 2024-07-30 Yongcun Song , Xiaoming Yuan , Hangrui Yue

There has been an increasing surge of interest on development of advanced Reinforcement Learning (RL) systems as intelligent approaches to learn optimal control policies directly from smart agents' interactions with the environment.…

Machine Learning · Computer Science 2020-06-02 Parvin Malekzadeh , Mohammad Salimibeni , Arash Mohammadi , Akbar Assa , Konstantinos N. Plataniotis

Solving nonlinear systems is an important problem. Numerical continuation methods efficiently solve certain nonlinear systems. The Asymptotic Numerical Method (ANM) is a powerful continuation method that usually converges faster than…

Numerical Analysis · Mathematics 2021-05-19 Kai Jia

Pre-trained Language Models (PLMs), as parametric-based eager learners, have become the de-facto choice for current paradigms of Natural Language Processing (NLP). In contrast, k-Nearest-Neighbor (kNN) classifiers, as the lazy learning…

Computation and Language · Computer Science 2023-06-21 Lei Li , Jing Chen , Bozhong Tian , Ningyu Zhang

Massive multiple-input multiple-output (mMIMO) downlink precoding offers high spectral efficiency but remains challenging to deploy in practice because near-optimal algorithms such as the weighted minimum mean squared error (WMMSE) are…

Machine Learning · Computer Science 2026-01-30 Ali Hasanzadeh Karkan , Ahmed Ibrahim , Jean-François Frigon , François Leduc-Primeau