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We consider a spatially homogeneous advection-diffusion equation in which the diffusion tensor and drift velocity are time-independent, but otherwise general. We derive asymptotic expressions, valid at large distances from a steady point…

Chaotic Dynamics · Physics 2015-05-20 John Grant , Michael Wilkinson

We propose a time-domain boundary integral method to model linear wave propagation with refractive, focusing, and Doppler effects arising from medium heterogeneities and moving obstacles. In contrast to existing techniques, our method…

Numerical Analysis · Mathematics 2026-05-13 Raaghav Ramani

The inference stage of diffusion models can be seen as running a reverse-time diffusion stochastic differential equation, where samples from a Gaussian latent distribution are transformed into samples from a target distribution that usually…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Lorenzo Luzi , Paul M Mayer , Josue Casco-Rodriguez , Ali Siahkoohi , Richard G. Baraniuk

We study the inverse source problem for a class of viscoelastic systems from a single boundary measurement in a general spatial dimension. We give specific reconstruction formula and stability estimate for the source in terms of the…

Analysis of PDEs · Mathematics 2020-04-24 Walton Green , Shitao Liu

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

Machine Learning · Computer Science 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

Generating new images with desired properties (e.g. new view/poses) from source images has been enthusiastically pursued recently, due to its wide range of potential applications. One way to ensure high-quality generation is to use multiple…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Jiawei Lu , He Wang , Tianjia Shao , Yin Yang , Kun Zhou

We explore the oscillatory behavior observed in inversion methods applied to large-scale text-to-image diffusion models, with a focus on the "Flux" model. By employing a fixed-point-inspired iterative approach to invert real-world images,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Yan Zheng , Zhenxiao Liang , Xiaoyan Cong , Lanqing guo , Yuehao Wang , Peihao Wang , Zhangyang Wang

Generating images from hand-drawings is a crucial and fundamental task in content creation. The translation is difficult as there exist infinite possibilities and the different users usually expect different outcomes. Therefore, we propose…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Shin-I Cheng , Yu-Jie Chen , Wei-Chen Chiu , Hung-Yu Tseng , Hsin-Ying Lee

We outline a recently developed theory of impedance-matching, or reflectionless excitation of arbitrary finite photonic structures in any dimension. It describes the necessary and sufficient conditions for perfectly reflectionless…

The asymmetrical retrieval setting is a well suited solution for resource constrained applications such as face recognition and image retrieval. In this setting, a large model is used for indexing the gallery while a lightweight model is…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Ori Linial , Alon Shoshan , Nadav Bhonker , Elad Hirsch , Lior Zamir , Igor Kviatkovsky , Gerard Medioni

In non-destructive and biomedical imaging, spatial patterns inside a sample are imaged without destroying it. Therefore, propagating waves, including electromagnetic or ultrasonic signals, or even diffuse heat are generated or modified by…

Applied Physics · Physics 2025-07-09 Peter Burgholzer , Lukas Gahleitner , Guenther Mayr

This paper studies the problem of language-guided reflection separation, which aims at addressing the ill-posed reflection separation problem by introducing language descriptions to provide layer content. We propose a unified framework to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Haofeng Zhong , Yuchen Hong , Shuchen Weng , Jinxiu Liang , Boxin Shi

Diffusion models have been shown to implicitly generate visual content autoregressively in the frequency domain, where low-frequency components are generated earlier in the denoising process while high-frequency details emerge only in later…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Howard Xiao , Brian Chao , Lior Yariv , Gordon Wetzstein

Diffusion models have transformed image synthesis through iterative denoising, by defining trajectories from noise to coherent data. While their capabilities are widely celebrated, a critical challenge remains unaddressed: ensuring…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Andreas Floros , Seyed-Mohsen Moosavi-Dezfooli , Pier Luigi Dragotti

It is known that waves generated by ambient noise sources and recorded by passive receivers can be used to image the reflectivities of an unknown medium. However, reconstructing the reflectivity of the medium from partial boundary…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Zetao Fei , Josselin Garnier

We experimentally implement a virtual geometric periodicity in an elastic metamaterial. First, unwanted boundary reflections at the domain ends are cancelled through the iterative injection of the polarity reversed, reflected wavefield. The…

Applied Physics · Physics 2023-01-18 Henrik R. Thomsen , Bao Zhao , Andrea Colombi

Reflectance bounds the frequency spectrum of illumination in the object appearance. In this paper, we introduce the first stochastic inverse rendering method, which recovers the attenuated frequency spectrum of an illumination jointly with…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Yuto Enyo , Ko Nishino

This study proposes a framework for incorporating wavenumber-domain acoustic reflection coefficients into sound field analysis to characterize direction-dependent material reflection and scattering phenomena. The reflection coefficient is…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-13 Satoshi Hoshika , Takahiro Iwami , Akira Omoto

A method is described for the determination of the effective electromagnetic parameters of a metamaterial based only on external measurements or simulations, taking boundary effects at the interfaces between a conventional material and…

Classical Physics · Physics 2015-05-20 Sung Kim , Edward F. Kuester , Christopher L. Holloway , Aaron D. Scher , James Baker-Jarvis

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

Analysis of PDEs · Mathematics 2023-11-29 General Ozochiawaeze
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