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It is now well known that Markov random fields (MRFs) are particularly effective for modeling image priors in low-level vision. Recent years have seen the emergence of two main approaches for learning the parameters in MRFs: (1)…

计算机视觉与模式识别 · 计算机科学 2014-01-17 Yunjin Chen , Thomas Pock , René Ranftl , Horst Bischof

We address the problem of simultaneously recovering a sequence of point source signals from observations limited to the low-frequency end of the spectrum of their summed convolution, where the point spread functions (PSFs) are unknown. By…

信息论 · 计算机科学 2024-07-16 Jinchi Chen

A Riemannian gradient descent algorithm and a truncated variant are presented to solve systems of phaseless equations $|Ax|^2=y$. The algorithms are developed by exploiting the inherent low rank structure of the problem based on the…

数值分析 · 数学 2018-09-11 Jian-Feng Cai , Ke Wei

We present a simple and effective approach for non-blind image deblurring, combining classical techniques and deep learning. In contrast to existing methods that deblur the image directly in the standard image space, we propose to perform…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Jiangxin Dong , Stefan Roth , Bernt Schiele

We propose Frank--Wolfe (FW) algorithms with an adaptive Bregman step-size strategy for smooth adaptable (also called: relatively smooth) (weakly-) convex functions. This means that the gradient of the objective function is not necessarily…

最优化与控制 · 数学 2026-02-19 Shota Takahashi , Sebastian Pokutta , Akiko Takeda

We propose several variants of the Frank-Wolfe algorithm to minimize a sum of functions. The main proposed algorithm is inspired from the dual averaging scheme of Nesterov adapted for Frank Wolfe in a stochastic setting. A distributed…

最优化与控制 · 数学 2023-01-12 Suhail M Shah

Recovering sharp images from dual-pixel (DP) pairs with disparity-dependent blur is a challenging task.~Existing blur map-based deblurring methods have demonstrated promising results. In this paper, we propose, to the best of our knowledge,…

计算机视觉与模式识别 · 计算机科学 2023-11-22 Hao Yang , Liyuan Pan , Yan Yang , Richard Hartley , Miaomiao Liu

We propose a novel Stochastic Frank-Wolfe (a.k.a. conditional gradient) algorithm for constrained smooth finite-sum minimization with a generalized linear prediction/structure. This class of problems includes empirical risk minimization…

We have developed a method for the linear reconstruction of an image from undersampled, dithered data. The algorithm, known as Variable-Pixel Linear Reconstruction, or informally as Drizzle, preserves photometry and resolution, can weight…

天体物理学 · 物理学 2011-08-11 A. S. Fruchter , R. N. Hook

We study the problem of recovering the phase from magnitude measurements; specifically, we wish to reconstruct a complex-valued signal x of C^n about which we have phaseless samples of the form y_r = |< a_r,x >|^2, r = 1,2,...,m (knowledge…

信息论 · 计算机科学 2016-11-17 Emmanuel Candes , Xiaodong Li , Mahdi Soltanolkotabi

We address the problem of sparse recovery in an online setting, where random linear measurements of a sparse signal are revealed sequentially and the objective is to recover the underlying signal. We propose a reweighted least squares (RLS)…

机器学习 · 计算机科学 2017-06-30 Subhadip Mukherjee , Deepak R. , Huaijin Chen , Ashok Veeraraghavan , Chandra Sekhar Seelamantula

We introduce a method to recover a continuous domain representation of a piecewise constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set of the image is localized to the zero set of a trigonometric…

计算机视觉与模式识别 · 计算机科学 2016-04-25 Greg Ongie , Mathews Jacob

Optical two-dimensional (2D) coherent spectroscopy excels in studying coupling and dynamics in complex systems. The dynamical information can be learned from lineshape analysis to extract the corresponding linewidth. However, it is usually…

光学 · 物理学 2020-06-24 Srikanth Namuduri , Michael Titze , Shekhar Bhansali , Hebin Li

Under low-light environment, handheld photography suffers from severe camera shake under long exposure settings. Although existing deblurring algorithms have shown promising performance on well-exposed blurry images, they still cannot cope…

计算机视觉与模式识别 · 计算机科学 2023-02-20 Zhihong Zhang , Yuxiao Cheng , Jinli Suo , Liheng Bian , Qionghai Dai

We address the problem of recovering a sparse signal from clipped or quantized measurements. We show how these two problems can be formulated as minimizing the distance to a convex feasibility set, which provides a convex and differentiable…

信号处理 · 电气工程与系统科学 2018-12-05 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

A broad class of convex optimization problems can be formulated as a semidefinite program (SDP), minimization of a convex function over the positive-semidefinite cone subject to some affine constraints. The majority of classical SDP solvers…

最优化与控制 · 数学 2019-10-30 Francesco Locatello , Alp Yurtsever , Olivier Fercoq , Volkan Cevher

We consider the inverse problem for countable, locally finite electrical networks with edge weights in an arbitrary field. The electrical inverse problem seeks to determine the weights of the edges knowing only the potential and current…

组合数学 · 数学 2016-05-31 David Jekel

This paper investigates the phase retrieval problem, which aims to recover a signal from the magnitudes of its linear measurements. We develop statistically and computationally efficient algorithms for the situation when the measurements…

机器学习 · 统计学 2017-05-19 Huishuai Zhang , Yuejie Chi , Yingbin Liang

We introduce regularized Frank-Wolfe, a general and effective algorithm for inference and learning of dense conditional random fields (CRFs). The algorithm optimizes a nonconvex continuous relaxation of the CRF inference problem using…

机器学习 · 计算机科学 2022-09-09 Đ. Khuê Lê-Huu , Karteek Alahari

This paper proposes a novel method for tamper detection and recovery using semi-fragile data hiding, based on Lifting Wavelet Transform (LWT) and Feed-Forward Neural Network (FNN). In TRLF, first, the host image is decomposed up to one…

密码学与安全 · 计算机科学 2018-02-21 Behrouz Bolourian Haghighi , Amir Hossein Taherinia , Reza Monsefi