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Visible-wavelength very large-scale integration (VLSI) photonic circuits have potential to play important roles in quantum information and sensing technologies. The realization of scalable, high-speed, and low-loss photonic mesh circuits…

Color image segmentation is an important topic in the image processing field. MRF-MAP is often adopted in the unsupervised segmentation methods, but their performance are far behind recent interactive segmentation tools supervised by user…

Computer Vision and Pattern Recognition · Computer Science 2012-02-21 Qiyang Zhao

We developed a novel reduced-order multi-scale method for solving large time-domain wavefield simulation problems. Our algorithm consists of two main stages. During the first "off-line" stage the fine-grid operator (of the graph Laplacian…

Numerical Analysis · Mathematics 2017-03-28 Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

We propose and analyze a new discretization technique for a linear-quadratic optimal control problem involving the fractional powers of a symmetric and uniformly elliptic second oder operator; control constraints are considered. Since these…

Numerical Analysis · Mathematics 2016-07-08 Enrique Otarola

Feature-preserving mesh denoising has received noticeable attention in visual media, with the aim of recovering high-fidelity, clean mesh shapes from the ones that are contaminated by noise. Existing denoising methods often design smaller…

Graphics · Computer Science 2023-04-04 Weijia Wang , Wei Pan , Chaofan Dai , Richard Dazeley , Lei Wei , Bernard Rolfe , Xuequan Lu

In this article, we consider and analyse a small variant of a functional originally introduced in \cite{BLS,LS} to approximate the (geometric) planar Steiner problem. This functional depends on a small parameter $\varepsilon>0$ and…

Analysis of PDEs · Mathematics 2016-11-24 Matthieu Bonnivard , Antoine Lemenant , Vincent Millot

We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it specifically to shadow removal applications. We show that in…

Analysis of PDEs · Mathematics 2019-05-22 Simone Parisotto , Luca Calatroni , Marco Caliari , Carola-Bibiane Schönlieb , Joachim Weickert

Three-dimensional (3D) antiferromagnets with random magnetic anisotropy (RMA) experimentally studied to date do not have random single-ion anisotropies, but rather have competing two-dimensional and three-dimensional exchange interactions…

In this paper, we combine convolutional neural networks (CNNs) with reduced order modeling (ROM) for efficient simulations of multiscale problems. These problems are modeled by partial differential equations with high-dimensional random…

Computational Engineering, Finance, and Science · Computer Science 2024-06-25 Xuhan Zhang , Lijian Jiang

Raman spectroscopy stands as a cornerstone technique for probing collective excitations and emergent quantum phases in solids. While polarization-resolved Raman scattering has been widely used to extract symmetry information of eigenmodes,…

Materials Science · Physics 2026-02-24 Di Cheng , Junxiang Li , Shizhuo Luo , Zehao Chen , Xinwei Li

Assume that f is a strict convex function with a unique minimum in R^n. We divide the vector of n-variables to d groups of vector subvariables with d at least two. We assume that we can find the partial minimum of f with respect to each…

Optimization and Control · Mathematics 2019-06-06 Shmuel Friedland

Detection and segmentation of Brain tumor is very important because it provides anatomical information of normal and abnormal tissues which helps in treatment planning and patient follow-up. There are number of techniques for image…

Computer Vision and Pattern Recognition · Computer Science 2012-12-04 Minakshi Sharma

The receiver-function (RF) technique aims to recover receiver-side crustal and mantle structures by deconvolving either the radial or transverse component with the vertical component seismogram. Analysis of the variations of RFs along the…

Geophysics · Physics 2025-09-01 T. Rengneichuong Koireng , Pawan Bharadwaj

We develop a basis--covariant one--loop renormalization framework for two interacting real scalars in $D=4-\epsilon$ with the most general two--derivative Lorentz--violating quadratic form, allowing anisotropic spatial gradients and…

High Energy Physics - Theory · Physics 2026-02-03 Dmitry S. Ageev , Yulia A. Ageeva

Image segmentation is an essential component in many image processing and computer vision tasks. The primary goal of image segmentation is to simplify an image for easier analysis, and there are two broad approaches for achieving this: edge…

Computer Vision and Pattern Recognition · Computer Science 2021-12-24 J. N. Mueller , J. N. Corcoran

Nearest neighbor (NN) graph based visual re-ranking has emerged as a powerful approach for improving retrieval accuracy, offering the advantages of effectively exploring high-dimensional manifolds without requiring additional fine-tuning.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Jaeyoon Kim , Yoonki Cho , Taeyoung Kim , Sung-Eui Yoon

We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes…

Soft Condensed Matter · Physics 2017-04-26 Hsiao-Ping Hsu , Kurt Kremer

We develop a machine-learning method for coarse-graining condensed-phase molecular systems using anisotropic particles. The method extends currently available high-dimensional neural network potentials by addressing molecular anisotropy. We…

Statistical Mechanics · Physics 2023-07-12 Marltan O. Wilson , David M. Huang

Phase retrieval problems involve solving linear equations, but with missing sign (or phase, for complex numbers) information. More than four decades after it was first proposed, the seminal error reduction algorithm of (Gerchberg and Saxton…

Machine Learning · Statistics 2015-06-15 Praneeth Netrapalli , Prateek Jain , Sujay Sanghavi

Automatic medical image segmentation based on Computed Tomography (CT) has been widely applied for computer-aided surgery as a prerequisite. With the development of deep learning technologies, deep convolutional neural networks (DCNNs) have…

Image and Video Processing · Electrical Eng. & Systems 2021-04-09 Wenqiang Li , YM Tang , Ziyang Wang , KM Yu , Sandy To
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