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We propose a new variant of AMSGrad, a popular adaptive gradient based optimization algorithm widely used for training deep neural networks. Our algorithm adds prior knowledge about the sequence of consecutive mini-batch gradients and…

Machine Learning · Statistics 2020-11-04 Jun-Kun Wang , Xiaoyun Li , Belhal Karimi , Ping Li

In order to obtain a metasurface structure capable of filtering the light of a specific wavelength in the visible band, traditional method usually traverses the space consisting of possible designs, searching for a potentially satisfying…

Other Computer Science · Computer Science 2019-12-10 Xiao Han , Ziyang Fan , Chao Li , Zeyang Liu , L. Jay Guo

We demonstrate a full-wave numerical Maxwell-Bloch simulation tool including perfectly matched layer (PML) absorbing boundary conditions. To avoid detrimental reflection errors at the boundary of the simulation domain, an adapted PML model…

Computational Physics · Physics 2023-10-25 Johannes Popp , Lukas Seitner , Michael Haider , Christian Jirauschek

Full waveform inversion (FWI) can be expressed in a Bayesian framework, where the associated uncertainties are captured by the posterior probability distribution (PPD). In practice, solving Bayesian FWI with sampling-based methods such as…

Geophysics · Physics 2025-11-05 Shuhua Hu , Mrinal K Sen , Zeyu Zhao , Abdelrahman Elmeliegy , Shuo Zhang

Purpose: To develop a fat-water separation approach that corrects bipolar readout gradient induced effects, without additional scans, that is compatible with any fat-water separation method. Theory and Methods: The proposed approach…

Medical Physics · Physics 2025-05-20 Jorge Campos Pazmino , Renée-Claude Bider , Véronique Fortier , Ives R. Levesque

We present a high order, Fourier penalty method for the Maxwell's equations in the vicinity of perfect electric conductor boundary conditions. The approach relies on extending the smooth non-periodic domain of the equations to a periodic…

Numerical Analysis · Mathematics 2016-01-20 Ryan Galagusz , David Shirokoff , Jean-Christophe Nave

Despite extensive research efforts, few quantum algorithms for classical optimization demonstrate realizable quantum advantage. The utility of many quantum algorithms is limited by high requisite circuit depth and nonconvex optimization…

Quantum Physics · Physics 2022-01-27 Taylor L. Patti , Jean Kossaifi , Anima Anandkumar , Susanne F. Yelin

Multi-cell coordinated beamforming (MCBF), where multiple base stations (BSs) collaborate with each other in the beamforming design for mitigating the inter-cell interference, has been a subject drawing great attention recently. Most MCBF…

Information Theory · Computer Science 2015-10-28 Chao Shen , Tsung-Hui Chang , Kun-Yu Wang , Zhengding Qiu , Chong-Yung Chi

Text-to-image diffusion models (DMs) develop at an unprecedented pace, supported by thorough theoretical exploration and empirical analysis. Unfortunately, the discrepancy between DMs and autoregressive models (ARMs) complicates the path…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Shitong Shao , Zikai Zhou , Tian Ye , Lichen Bai , Zhiqiang Xu , Zeke Xie

We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for the Maxwell equations which is reduced to an eigenvalue…

Mathematical Physics · Physics 2012-09-25 Yury Smirnov , Yury Shestopalov

In domains such as molecular and protein generation, physical systems exhibit inherent symmetries that are critical to model. Two main strategies have emerged for learning invariant distributions: designing equivariant network architectures…

Machine Learning · Computer Science 2025-10-21 Vinh Tong , Hoang Trung-Dung , Anji Liu , Guy Van den Broeck , Mathias Niepert

This paper introduces an efficient design approach for a fast-convolution-based variable-bandwidth (VBW) filter. The proposed approach is based on a hybrid of frequency sampling and optimization (HFSO), that offers significant computational…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Oksana Moryakova , Håkan Johansson

We present a non-staggered method for the Maxwell equations in adaptively refined grids. The code is based on finite volume central scheme that preserves in a discrete form both divergence-free property of magnetic field and the Gauss law.…

Computational Physics · Physics 2015-11-17 Nina Elkina , Hartmut Ruhl

Standard optimal control methods perform optimization in the time domain. However, many experimental settings demand the expression of the control signal as a superposition of given waveforms, a case that cannot easily be accommodated using…

Optimization and Control · Mathematics 2015-06-22 Selina Meister , Jürgen T. Stockburger , Rebecca Schmidt , Joachim Ankerhold

We develop a multidimensional version of Gradient-MUSIC for estimating the frequencies of a nonharmonic signal from noisy samples. The guiding principle is that frequency recovery should be based only on the signal subspace determined by…

Optimization and Control · Mathematics 2026-03-31 Albert Fannjiang , Weilin Li

In this work, we study the statistically robust beamforming design for an intelligent reflecting surfaces (IRS) assisted multiple-input single-output (MISO) wireless system under imperfect channel state information (CSI), where the channel…

Information Theory · Computer Science 2020-06-15 Jiezhi Zhang , Yu Zhang , Caijun Zhong , Zhaoyang Zhang

A new domain decomposition method for Maxwell's equations in conductive media is presented. Using this method reconstruction algorithms are developed for determination of dielectric permittivity function using time-dependent scattered data…

Numerical Analysis · Mathematics 2022-10-27 Larisa Beilina , Eric Lindström

Spin waves are promising candidates to carry, transport, and process information. Controlling the propagation characteristics of spin waves in magnetic materials is an essential ingredient for designing spin-wave based computing…

Applied Physics · Physics 2020-07-29 Morteza Mohseni , Burkard Hillebrands , Philipp Pirro , Mikhail Kostylev

Preferential diffusion plays an important role especially in hydrogen flames. Flame stretch significantly affects the flame structure and induces preferential diffusion. A problematic phenomenon occurring in real combustion devices is…

Fluid Dynamics · Physics 2024-09-24 Kazuhiro Kinuta , Reo Kai , Kotaro Yada , Ryoichi Kurose

The features of propagation of intense waves are of great interest for theory and experiment in electrodynamics and acoustics. The behavior of nonlinear waves in a bounded volume is of especial importance and, at the same time, is an…

Classical Physics · Physics 2013-06-05 E. Yu. Petrov , A. V. Kudrin