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We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

机器学习 · 计算机科学 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

Neural networks have recently been established as a viable classification method for imaging mass spectrometry data for tumor typing. For multi-laboratory scenarios however, certain confounding factors may strongly impede their performance.…

Deep learning methods have been successfully applied to various computer vision tasks. However, existing neural network architectures do not per se incorporate domain knowledge about the addressed problem, thus, understanding what the model…

计算机视觉与模式识别 · 计算机科学 2019-10-21 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

In this paper, we consider the efficient numerical minimization of Tikhonov functionals resulting from total-variation (TV) regularization of linear inverse problems. Since the TV penalty is non-smooth, this is typically done either via…

We pursue a line of research that seeks to regularize the spectral norm of the Jacobian of the input-output mapping for deep neural networks. While previous work rely on upper bounding techniques, we provide a scheme that targets the exact…

机器学习 · 统计学 2022-06-29 Anton Johansson , Claes Strannegård , Niklas Engsner , Petter Mostad

Single image super-resolution (SISR) is a very popular topic nowadays, which has both research value and practical value. In daily life, we crop a large image into sub-images to do super-resolution and then merge them together. Although…

计算机视觉与模式识别 · 计算机科学 2019-07-31 Junyu , Wang , Rong Song

A critical task in graph signal processing is to estimate the true signal from noisy observations over a subset of nodes, also known as the reconstruction problem. In this paper, we propose a node-adaptive regularization for graph signal…

信号处理 · 电气工程与系统科学 2021-02-08 Maosheng Yang , Mario Coutino , Geert Leus , Elvin Isufi

It is common to have to process signals or images whose values are cyclic and can be represented as points on the complex circle, like wrapped phases, angles, orientations, or color hues. We consider a Tikhonov-type regularization model to…

最优化与控制 · 数学 2022-06-08 Laurent Condat

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

High-resolution cameras have become very helpful for plant phenotyping by providing a mechanism for tasks such as target versus background discrimination, and the measurement and analysis of fine-above-ground plant attributes. However, the…

计算机视觉与模式识别 · 计算机科学 2020-05-06 Jose F. Ruiz-Munoz , Jyothier K. Nimmagadda , Tyler G. Dowd , James E. Baciak , Alina Zare

Deep learning methods for super-resolution of a remote sensing scene from multiple unregistered low-resolution images have recently gained attention thanks to a challenge proposed by the European Space Agency. This paper presents an…

图像与视频处理 · 电气工程与系统科学 2020-01-20 Andrea Bordone Molini , Diego Valsesia , Giulia Fracastoro , Enrico Magli

We propose a new approach for the image super-resolution (SR) task that progressively restores a high-resolution (HR) image from an input low-resolution (LR) image on the basis of a neural ordinary differential equation. In particular, we…

图像与视频处理 · 电气工程与系统科学 2022-01-25 Seobin Park , Tae Hyun Kim

This paper develops a mathematical theory of super-resolution. Broadly speaking, super-resolution is the problem of recovering the fine details of an object---the high end of its spectrum---from coarse scale information only---from samples…

信息论 · 计算机科学 2012-11-15 Emmanuel Candes , Carlos Fernandez-Granda

Super-resolution is the problem of recovering a superposition of point sources using bandlimited measurements, which may be corrupted with noise. This signal processing problem arises in numerous imaging problems, ranging from astronomy to…

机器学习 · 计算机科学 2015-09-29 Qingqing Huang , Sham M. Kakade

Deep neural networks (NN) have achieved great success in many applications. However, why do deep neural networks obtain good generalization at an over-parameterization regime is still unclear. To better understand deep NN, we establish the…

机器学习 · 统计学 2021-12-02 Yueming Lyu , Ivor Tsang

Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term. In this paper, we propose a novel learnable general-purpose regularizer exploiting recent…

最优化与控制 · 数学 2020-02-19 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Dual gradient descent combined with early stopping represents an efficient alternative to the Tikhonov variational approach when the regularizer is strongly convex. However, for many relevant applications, it is crucial to deal with…

最优化与控制 · 数学 2023-05-12 Vassilis Apidopoulos , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclidean space, for example if the solution only attains values in…

最优化与控制 · 数学 2019-11-18 Melanie Melching , Otmar Scherzer

The capabilities of super-resolution reconstruction (SRR)---techniques for enhancing image spatial resolution---have been recently improved significantly by the use of deep convolutional neural networks. Commonly, such networks are learned…

计算机视觉与模式识别 · 计算机科学 2019-06-18 Michal Kawulok , Szymon Piechaczek , Krzysztof Hrynczenko , Pawel Benecki , Daniel Kostrzewa , Jakub Nalepa

Equivariant and invariant deep learning models have been developed to exploit intrinsic symmetries in data, demonstrating significant effectiveness in certain scenarios. However, these methods often suffer from limited representation…

计算机视觉与模式识别 · 计算机科学 2025-05-27 Yulu Bai , Jiahong Fu , Qi Xie , Deyu Meng