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Object detection is a fundamental task in computer vision and has many applications in image processing. This paper proposes a new approach for object detection by applying scale invariant feature transform (SIFT) in an automatic…

Computer Vision and Pattern Recognition · Computer Science 2012-10-29 Reza Oji , Farshad Tajeripour

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

Machine Learning · Computer Science 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equations (ODEs) and Reproducing Kernel Hilbert Spaces (RKHSs),…

Machine Learning · Statistics 2024-02-14 Biraj Pandey , Bamdad Hosseini , Pau Batlle , Houman Owhadi

The Kirchhoff plate model plays a vital role in modeling, computing and analyzing the mechanical behaviors of thin plate structures. This study propose a novel fourth-order multi-scale (FOMS) computational method for high-accuracy and…

Numerical Analysis · Mathematics 2025-12-10 Hao Dong , Liqun Cao

A set of curved beams and shells is geometrically implied by level sets of a scalar function over some bulk domain. The mechanical model for each structure is based on the Kirchhoff--Love theory, that is, small displacements without shear…

Computational Engineering, Finance, and Science · Computer Science 2026-05-22 Jonas Neumeyer , Michael Wolfgang Kaiser , Thomas-Peter Fries

We discuss statistical techniques for detecting and quantifying bimodality in astronomical datasets. We concentrate on the KMM algorithm, which estimates the statistical significance of bimodality in such datasets and objectively partitions…

Astrophysics · Physics 2009-10-22 Keith M. Ashman , Christina M. Bird , Steven E. Zepf

We study diffraction of twisted matter waves (electrons and light ions carrying orbital angular momentum $\ell/\hbar=0,\pm1,\pm2,\ldots$ by circular and triangular apertures. Within the scalar Kirchhoff-Fresnel framework, circular apertures…

Quantum Physics · Physics 2026-04-22 Maksim Maksimov , Nikita Borodin , Daria Kargina , Dmitry Naumov , Dmitry Karlovets

We remind and emphasize the connections and differences between Kirchhoff and Born modelling. We discuss how they lead to a general expression for the conversion of a velocity model perturbation into a reflectivity through the "generalized…

Geophysics · Physics 2020-10-20 Jeremie Messud

This paper presents a novel framework for visual object recognition using infinite-dimensional covariance operators of input features in the paradigm of kernel methods on infinite-dimensional Riemannian manifolds. Our formulation provides…

Computer Vision and Pattern Recognition · Computer Science 2016-09-30 Hà Quang Minh , Marco San Biagio , Loris Bazzani , Vittorio Murino

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

The classical Mercer's theorem claims that a continuous positive definite kernel $K({\mathbf x}, {\mathbf y})$ on a compact set can be represented as $\sum_{i=1}^\infty \lambda_i\phi_i({\mathbf x})\phi_i({\mathbf y})$ where…

Machine Learning · Computer Science 2022-09-27 Rustem Takhanov

It has been argued that in atomic-resolution transmission electron microscopy (TEM) of sparse weakly scattering structures, such as small biological molecules, multiple electron scattering usually has only a small effect, while the…

Optics · Physics 2021-11-16 T. E. Gureyev , H. M. Quiney , A. Kozlov , D. M. Paganin , G. Schmalz , L. J. Allen

Muon imaging is one of the most promising non-invasive techniques for density structure scanning, specially for large objects reaching the kilometre scale. It has already interesting applications in different fields like geophysics or…

Instrumentation and Detectors · Physics 2017-12-14 H. Gómez , D. Gibert , C. Goy , K. Jourde , Y. Karyotakis , S. Katsanevas , J. Marteau , M. Rosas-Carbajal , A. Tonazzo

Object detection in remote sensing images relies on a large amount of labeled data for training. However, the increasing number of new categories and class imbalance make exhaustive annotation impractical. Few-shot object detection (FSOD)…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Nanqing Liu , Xun Xu , Turgay Celik , Zongxin Gan , Heng-Chao Li

Dynamic scattering remains a significant challenge to the practical deployment of anti-scattering imaging. Existing methods, such as transmission matrix measurements, iterative wavefront shaping, and optical phase conjugation, depend on a…

In this paper, a linear model based on multiple measurement vectors model is proposed to formulate the inverse scattering problem of highly conductive objects at one single frequency. Considering the induced currents which are mostly…

Signal Processing · Electrical Eng. & Systems 2019-06-27 Shilong Sun , Bert Jan Kooij , Alexander G. Yarovoy

Far-field super-resolution fluorescence microscopy has been rapidly developed for applications ranging from cell biology to nanomaterials. However, it remains a significant challenge to achieve super-resolution imaging at depth in opaque…

Optics · Physics 2024-05-01 Tengfei Wu , YoonSeok Baek , Fei Xia , Sylvain Gigan , Hilton B. de Aguiar

Diffusion models show promise for image restoration, but existing methods often struggle with inconsistent fidelity and undesirable artifacts. To address this, we introduce Kernel Density Steering (KDS), a novel inference-time framework…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yuyang Hu , Kangfu Mei , Mojtaba Sahraee-Ardakan , Ulugbek S. Kamilov , Peyman Milanfar , Mauricio Delbracio

Object detection in remote sensing imagery plays a vital role in various Earth observation applications. However, unlike object detection in natural scene images, this task is particularly challenging due to the abundance of small, often…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Minh-Duc Vu , Zuheng Ming , Fangchen Feng , Bissmella Bahaduri , Anissa Mokraoui

Random projections have proven extremely useful in many signal processing and machine learning applications. However, they often require either to store a very large random matrix, or to use a different, structured matrix to reduce the…

Emerging Technologies · Computer Science 2016-08-26 Alaa Saade , Francesco Caltagirone , Igor Carron , Laurent Daudet , Angélique Drémeau , Sylvain Gigan , Florent Krzakala
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