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We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piece-wise inhomogeneous refractive index. The…

Numerical Analysis · Mathematics 2024-02-23 Peter Elbau , Leonidas Mindrinos , Leopold Veselka

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

Methodology · Statistics 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

The quantum wave function of multiple particles provides additional information which is inaccessible to detectors working alone. Here, we introduce the coincidence wavefront sensing (CWS) method to reconstruct the phase of the multiphoton…

Quantum Physics · Physics 2023-05-18 Yi Zheng , Mu Yang , Yu-Wei Liao , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

We construct an invariant basis for Compton scattering with two virtual photons (VVCS). The basis tensors are chosen to be gauge invariant and orthogonal to each other. The properties of the corresponding 18 invariant amplitudes are studied…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mikhail Gorchtein

We present a new image scaling method both for downscaling and upscaling, running with any scale factor or desired size. The resized image is achieved by sampling a bivariate polynomial which globally interpolates the data at the new scale.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Donatella Occorsio , Giuliana Ramella , Woula Themistoclakis

Standard parton distribution functions contain neither information on the correlations between partons nor on their transverse motion, then a vital knowledge about the three dimensional structure of the nucleon is lost. Hard exclusive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Laurent Schoeffel

This paper proposes a particle volume reconstruction directly from an in-line hologram using a deep neural network. Digital holographic volume reconstruction conventionally uses multiple diffraction calculations to obtain sectional…

Image and Video Processing · Electrical Eng. & Systems 2019-03-27 Tomoyoshi Shimobaba , Takayuki Takahashi , Yota Yamamoto , Yutaka Endo , Atsushi Shiraki , Takashi Nishitsuji , Naoto Hoshikawa , Takashi Kakue , Tomoyosh Ito

We present Deep Tensor Canonical Correlation Analysis (DTCCA), a method to learn complex nonlinear transformations of multiple views (more than two) of data such that the resulting representations are linearly correlated in high order. The…

Machine Learning · Computer Science 2020-05-26 Hok Shing Wong , Li Wang , Raymond Chan , Tieyong Zeng

Feedback control of fluid-based systems poses significant challenges due to their high-dimensional, nonlinear, and multiscale dynamics, which demand real-time, three-dimensional, multi-component measurements for sensing. While such…

Machine Learning · Computer Science 2025-07-08 Anton Plaksin , Georgios Rigas

We examine a density-independent modification of the Vicsek model in which a particle interacts with neighbors defined by Delaunay triangulation. To feasibly simulate the model, an algorithm for repairing the triangulation over time was…

Statistical Mechanics · Physics 2013-09-06 Daniel Schubring , Paul R. Ohmann

Quantitative evaluations of differences and/or similarities between data samples define and shape optimisation problems associated with learning data distributions. Current methods to compare data often suffer from limitations in capturing…

Machine Learning · Computer Science 2024-01-23 Deborah Pelacani Cruz , George Strong , Oscar Bates , Carlos Cueto , Jiashun Yao , Lluis Guasch

We discuss the experimental issues confronting measurements of the Virtual Compton Scattering (VCS) reaction ep->ep gamma with electron beam energies 6-30 GeV. We specifically address the kinematics of Deeply Virtual Compton Scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Y. Bertin , Y. Roblin , C. E. Hyde-Wright

A simplification of the VV10 van der Waals density functional [J. Chem. Phys. 133, 244103 (2010)] is made by an approximation of the integrand of the six-dimentional integral in terms of a few products of three-dimensional density-like…

Chemical Physics · Physics 2026-01-21 Dimitri N. Laikov

In this letter, we propose a simple yet effective singular value decomposition (SVD) based strategy to reduce the optimization problem dimension in data-enabled predictive control (DeePC). Specifically, in the case of linear time-invariant…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kaixiang Zhang , Yang Zheng , Chao Shang , Zhaojian Li

Deeper and wider CNNs are known to provide improved performance for deep learning tasks. However, most such networks have poor performance gain per parameter increase. In this paper, we investigate whether the gain observed in deeper models…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Arnav Chavan , Udbhav Bamba , Rishabh Tiwari , Deepak Gupta

Data augmentation is vital for deep learning neural networks. By providing massive training samples, it helps to improve the generalization ability of the model. Weakly supervised semantic segmentation (WSSS) is a challenging problem that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-29 Yukun Su , Ruizhou Sun , Guosheng Lin , Qingyao Wu

A method is proposed for high-resolution, three-dimensional reconstruction of internal structure of objects from planar transmission images. The described approach can be used with any form of radiation or matter waves, in principle,…

Optics · Physics 2022-08-24 T. E. Gureyev , H. M. Quiney , L. J. Allen

We summarize here our investigations on the deeply virtual Compton scattering (DVCS) in the color dipole approach, implementing the dipole cross section through the saturation model. The role played by its QCD evolution and the skewedness…

High Energy Physics - Phenomenology · Physics 2007-05-23 Laurent Favart , Magno V. T. Machado

We show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable $\zeta$ at fixed invariant momentum transfer squared $t$ provides a unique way to visualize the structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. J. Brodsky , D. Chakrabarti , A. Harindranath , A. Mukherjee , J. P. Vary

The nucleon spin-averaged forward virtual Compton tensor determines important physical quantities such as electromagnetically-induced mass differences of nucleons, and two-photon exchange contributions in hydrogen spectroscopy. It depends…

High Energy Physics - Phenomenology · Physics 2017-08-01 Richard J. Hill , Gil Paz