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We consider the XXX-type and Gaudin quantum integrable models associated with the Lie algebra $gl_N$. The models are defined on a tensor product irreducible $gl_N$-modules. For each model, there exist $N$ one-parameter families of commuting…

量子代数 · 数学 2009-11-11 E. Mukhin , V. Tarasov , A. Varchenko

In this paper, we discuss a virtual element approximation for the modified transmission eigenvalue problem in inverse scattering for natural materials. In this case, due to the positive artificial diffusivity parameter in the considered…

数值分析 · 数学 2025-10-30 Liangkun Xu , Shixi Wang , Hai Bi

As an important problem in causal inference, we discuss the estimation of treatment effects (TEs). Representing the confounder as a latent variable, we propose Intact-VAE, a new variant of variational autoencoder (VAE), motivated by the…

机器学习 · 统计学 2022-04-22 Pengzhou Wu , Kenji Fukumizu

We show that the problem of finding the primary and secondary characteristic directions of a linear lossless optical element can be reformulated in terms of an eigenvalue problem related to the unimodular factor of the transfer matrix of…

光学 · 物理学 2007-05-23 Hanno Hammer

We present a robust, precise, and accurate method to simultaneously measure the refractive indices of two transparent materials within an interference coating. This is achieved by measuring both a photometrically accurate transmittance…

Federated Learning (FL) facilitates collaborative model training while preserving data locality; however, the exchange of gradients renders the system vulnerable to Gradient Inversion Attacks (GIAs), allowing adversaries to reconstruct…

机器学习 · 计算机科学 2026-02-13 Jianhua Wang , Yinlin Su

We propose a flipped-Adversarial AutoEncoder (FAAE) that simultaneously trains a generative model G that maps an arbitrary latent code distribution to a data distribution and an encoder E that embodies an "inverse mapping" that encodes a…

机器学习 · 计算机科学 2018-04-05 Jiyi Zhang , Hung Dang , Hwee Kuan Lee , Ee-Chien Chang

We analyze an approximate interior transmission eigenvalue problem in ${\mathbb R}^d$ for $d=2$ or $d=3$, motivated by the transmission problem of a transformation optics-based cloaking scheme and obtained by replacing the refractive index…

偏微分方程分析 · 数学 2023-10-26 Narek Hovsepyan

As radio telescopes become more sensitive, the damaging effects of radio frequency interference (RFI) become more apparent. Near radio telescope arrays, RFI sources are often easily removed or replaced; the challenge lies in identifying…

天体物理仪器与方法 · 物理学 2018-08-01 Daniel Czech , Amit Mishra , Michael Inggs

Transport of intensity equation (TIE) exhibits a non-interferometric correlation between intensity and phase variations of intermediate fields (e.g., light and electron) in biological imaging. Previous TIE formulations have generally…

生物物理 · 物理学 2023-07-17 Masaki Watabe , Yasuhiro Hirano , Atsuko Iwane , Osamu Matoba , Koichi Takahashi

We introduce Alterbute, a diffusion-based method for editing an object's intrinsic attributes in an image. We allow changing color, texture, material, and even the shape of an object, while preserving its perceived identity and scene…

计算机视觉与模式识别 · 计算机科学 2026-05-28 Tal Reiss , Daniel Winter , Matan Cohen , Alex Rav-Acha , Yael Pritch , Ariel Shamir , Yedid Hoshen

Anisotropic thin sheets of materials possess intriguing properties because of their ability to modify the phase, amplitude and polarization of incident waves. Such sheets are usually modeled by imposing transmission conditions of resistive…

偏微分方程分析 · 数学 2025-04-04 Fioralba Cakoni , Peter Monk

In this paper, we propose a technique named reflection F-scan or RF-scan, that can be used to measure the nonlinear-refractive index n_2 of thin-film semiconductors. In this technique, a p-polarized Gaussian beam is focused using an…

光学 · 物理学 2018-07-11 Juan Serna , Julián Henao , Edgar Rueda , Abdullatif Hamad , Hernando Garcia

Since the early 1970s, inversion techniques have become the most useful tool for inferring the magnetic, dynamic, and thermodynamic properties of the solar atmosphere. The intrinsic model dependence makes it necessary to formulate specific…

太阳与恒星天体物理 · 物理学 2016-12-07 Jose Carlos del Toro Iniesta , Basilio Ruiz Cobo

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

偏微分方程分析 · 数学 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland

Person re-identification (Re-ID) is a challenging task as persons are often in different backgrounds. Most recent Re-ID methods treat the foreground and background information equally for person discriminative learning, but can easily lead…

计算机视觉与模式识别 · 计算机科学 2020-09-25 Donghaisheng Liu , Shoudong Han , Yang Chen , Chenfei Xia , Jun Zhao

The n-type Ge-on-Si epitaxial material platform enables a novel paradigm for plasmonics in the mid-infrared, prompting the future development of lab-on-a-chip and subwavelength vibrational spectroscopic sensors. In order to exploit this…

Intelligent reflecting surface (IRS)-assisted wireless communication is widely deemed a key technology for 6G systems. The main challenge in deploying an IRS-aided terahertz (THz) link, though, is the severe propagation losses at high…

In this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory. The boundary element method is employed for discretization, which…

数值分析 · 数学 2016-08-24 Fang Zeng , Jiguang Sun , Liwei Xu

A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a non-selfadjoint compact operator is given. Sufficient…

数学物理 · 物理学 2010-07-06 Michael Hitrik , Katsiaryna Krupchyk , Petri Ola , Lassi Päivärinta