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Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents their direct use on large scale datasets. To overcome this…

Machine Learning · Statistics 2021-10-14 Kilian Fatras , Younes Zine , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Low-dose Computed Tomography is a common issue in reality. Current reduction, sparse sampling and limited-view scanning can all cause it. Between them, limited-view CT is general in the industry due to inevitable mechanical and physical…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Ken Deng , Chang Sun , Yitong Liu , Hongwen Yang

Understanding visual scenes relies more and more on dense pixel-wise classification obtained via deep fully convolutional neural networks. However, due to the nature of the networks, predictions often suffer from blurry boundaries and…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Nicolas Audebert , Alexandre Boulch , Bertrand Le Saux , Sébastien Lefèvre

For the task of change detection (CD) in remote sensing images, deep convolution neural networks (CNNs)-based methods have recently aggregated transformer modules to improve the capability of global feature extraction. However, they suffer…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Weiming Li , Lihui Xue , Xueqian Wang , Gang Li

The act of measuring a physical signal or field suggests a generalization of the wavelet transform that turns out to be a windowed version of the Radon transform. A reconstruction formula is derived which inverts this transform. A special…

Mathematical Physics · Physics 2007-05-23 Gerald Kaiser , R. F. Streater

In this paper we propose integrating a priori knowledge into both design and training of convolutional neural networks (CNNs) to learn object representations that are invariant to affine transformations (i.e., translation, scale, rotation).…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Xenju Xu , Guanghui Wang , Alan Sullivan , Ziming Zhang

The demand of artificial intelligent adoption for condition-based maintenance strategy is astonishingly increased over the past few years. Intelligent fault diagnosis is one critical topic of maintenance solution for mechanical systems.…

Machine Learning · Computer Science 2022-06-17 Cheng Cheng , Beitong Zhou , Guijun Ma , Dongrui Wu , Ye Yuan

A widely-distributed radar system is a promising architecture to enhance radar imaging performance. However, most existing algorithms rely on isotropic scattering assumption, which is only satisfied in collocated radar systems. Moreover,…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Ruizhi Hu , Bhavani Shankar Mysore Rama Rao , Ahmed Murtada , Mohammad Alaee-Kerahroodi , Björn Ottersten

Recently, experiments have been reported where researchers were able to perform high dynamic range (HDR) tomography in a heuristic fashion, by fusing multiple tomographic projections. This approach to HDR tomography has been inspired by HDR…

Information Theory · Computer Science 2021-05-11 Matthias Beckmann , Ayush Bhandari , Felix Krahmer

Detecting small vehicles in aerial images is a difficult job that can be challenging even for humans. Rotating objects, low resolution, small inter-class variability and very large images comprising complicated backgrounds render the work…

Computer Vision and Pattern Recognition · Computer Science 2020-09-17 Jean Ogier du Terrail , Frédéric Jurie

Distributionally robust control (DRC) aims to effectively manage distributional ambiguity in stochastic systems. While most existing works address inaccurate distributional information in fully observable settings, we consider a partially…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Astghik Hakobyan , Insoon Yang

We introduce a new optimal transport distance between nonnegative finite Radon measures with possibly different masses. The construction is based on non-conservative continuity equations and a corresponding modified Benamou-Brenier formula.…

Analysis of PDEs · Mathematics 2016-03-22 Stanislav Kondratyev , Léonard Monsaingeon , Dmitry Vorotnikov

Finding meaningful distances between high-dimensional data samples is an important scientific task. To this end, we propose a new tree-Wasserstein distance (TWD) for high-dimensional data with two key aspects. First, our TWD is specifically…

Machine Learning · Computer Science 2025-02-25 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

Transformer-based models have achieved strong performance in remote sensing image captioning by capturing long-range dependencies and contextual information. However, their practical deployment is hindered by high computational costs,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Swadhin Das , Divyansh Mundra , Priyanshu Dayal , Raksha Sharma

Computed tomography (CT) involves a patient's exposure to ionizing radiation. To reduce the radiation dose, we can either lower the X-ray photon count or down-sample projection views. However, either of the ways often compromises image…

Image and Video Processing · Electrical Eng. & Systems 2023-10-12 Wenjun Xia , Yongyi Shi , Chuang Niu , Wenxiang Cong , Ge Wang

Localization is an essential component for autonomous robots. A well-established localization approach combines ray casting with a particle filter, leading to a computationally expensive algorithm that is difficult to run on…

Data Structures and Algorithms · Computer Science 2018-03-09 Corey Walsh , Sertac Karaman

In several image acquisition and processing steps of X-ray radiography, knowledge of the existence of metal implants and their exact position is highly beneficial (e.g. dose regulation, image contrast adjustment). Another application which…

Image and Video Processing · Electrical Eng. & Systems 2022-03-18 Fuxin Fan , Ludwig Ritschl , Marcel Beister , Ramyar Biniazan , Björn Kreher , Tristan M. Gottschalk , Steffen Kappler , Andreas Maier

The mainstream CNN-based remote sensing (RS) image semantic segmentation approaches typically rely on massive labeled training data. Such a paradigm struggles with the problem of RS multi-view scene segmentation with limited labeled views…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Zipeng Qi , Hao Chen , Chenyang Liu , Zhenwei Shi , Zhengxia Zou

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling…

Functional Analysis · Mathematics 2011-08-30 Isaac Pesenson , Eric Grinberg

We propose regularization strategies for learning discriminative models that are robust to in-class variations of the input data. We use the Wasserstein-2 geometry to capture semantically meaningful neighborhoods in the space of images, and…

Machine Learning · Computer Science 2019-09-17 Alex Tong Lin , Yonatan Dukler , Wuchen Li , Guido Montufar