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Many challenging image processing tasks can be described by an ill-posed linear inverse problem: deblurring, deconvolution, inpainting, compressed sensing, and superresolution all lie in this framework. Traditional inverse problem solvers…

计算机视觉与模式识别 · 计算机科学 2019-06-05 Davis Gilton , Greg Ongie , Rebecca Willett

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…

机器学习 · 计算机科学 2019-07-09 Reinhard Heckel

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by generative adversarial networks, or GANs). In this work,…

机器学习 · 计算机科学 2018-10-09 Chinmay Hegde

Recent efforts on solving inverse problems in imaging via deep neural networks use architectures inspired by a fixed number of iterations of an optimization method. The number of iterations is typically quite small due to difficulties in…

图像与视频处理 · 电气工程与系统科学 2021-06-04 Davis Gilton , Gregory Ongie , Rebecca Willett

In this document, a neural network is employed in order to estimate the solution of the initial value problem in the context of non linear trajectories. Such trajectories can be subject to gravity, thrust, drag, centrifugal force,…

机器学习 · 计算机科学 2021-07-21 Theodoros Ntakouris

Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

机器学习 · 计算机科学 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

Recent focus on robustness to adversarial attacks for deep neural networks produced a large variety of algorithms for training robust models. Most of the effective algorithms involve solving the min-max optimization problem for training…

机器学习 · 计算机科学 2021-03-03 Yasaman Esfandiari , Aditya Balu , Keivan Ebrahimi , Umesh Vaidya , Nicola Elia , Soumik Sarkar

Ill-posed inverse problems appear in many image processing applications, such as deblurring and super-resolution. In recent years, solutions that are based on deep Convolutional Neural Networks (CNNs) have shown great promise. Yet, most of…

计算机视觉与模式识别 · 计算机科学 2021-02-05 Shady Abu-Hussein , Tom Tirer , Se Young Chun , Yonina C. Eldar , Raja Giryes

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

Modelling robot dynamics accurately is essential for control, motion optimisation and safe human-robot collaboration. Given the complexity of modern robotic systems, dynamics modelling remains non-trivial, mostly in the presence of…

机器人学 · 计算机科学 2022-05-11 David Jorge , Gabriella Pizzuto , Michael Mistry

We present new algorithms for inverse reinforcement learning (IRL, or inverse optimal control) in convex optimization settings. We argue that finite-space IRL can be posed as a convex quadratic program under a Bayesian inference framework…

机器学习 · 计算机科学 2013-01-22 Qifeng Qiao , Peter A. Beling

Fast convergence and high-quality image recovery are two essential features of algorithms for solving ill-posed imaging inverse problems. Existing methods, such as regularization by denoising (RED), often focus on designing sophisticated…

计算机视觉与模式识别 · 计算机科学 2025-10-10 Marien Renaud , Julien Hermant , Deliang Wei , Yu Sun

Recently deep neural networks have been widely and successfully applied in computer vision tasks and attracted growing interests in medical imaging. One barrier for the application of deep neural networks to medical imaging is the need of…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Kuang Gong , Kyungsang Kim , Jianan Cui , Ning Guo , Ciprian Catana , Jinyi Qi , Quanzheng Li

Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather…

计算机视觉与模式识别 · 计算机科学 2016-07-08 Andrey Zhmoginov , Mark Sandler

We consider a neural network architecture designed to solve inverse problems where the degradation operator is linear and known. This architecture is constructed by unrolling a forward-backward algorithm derived from the minimization of an…

最优化与控制 · 数学 2025-10-02 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

图像与视频处理 · 电气工程与系统科学 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

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…

图像与视频处理 · 电气工程与系统科学 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

Tomographic image reconstruction is relevant for many medical imaging modalities including X-ray, ultrasound (US) computed tomography (CT) and photoacoustics, for which the access to full angular range tomographic projections might be not…

图像与视频处理 · 电气工程与系统科学 2019-06-14 Valery Vishnevskiy , Richard Rau , Orcun Goksel