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This paper addresses the inverse obstacle scattering problem of simultaneously reconstructing the obstacle geometry and boundary conditions from multi-frequency near-field backscattering data. We first establish rigorous high-frequency…

Analysis of PDEs · Mathematics 2026-04-14 Jialei Li , Xiaodong Liu

Standard diffusion models (DMs) rely on the total destruction of data into non-informative white noise, forcing the backward process to denoise from a fully unstructured noise state. While ensuring diversity, this results in a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Baohua Yan , Jennifer Kava , Qingyuan Liu , Xuan Di

We describe a setup based on Michelson interferometry for coherent measurements of the backscattered light from a low roughness optical surface under test. Special data processing was developed for the extraction of the useful signal from…

Instrumentation and Methods for Astrophysics · Physics 2018-09-07 Vitalii Khodnevych , Sibilla Di Pace , Jean-Yves Vinet , Nicoleta Dinu-Jaeger , Michel Lintz

Subdiffusive motion of tracer particles in complex crowded environments, such as biological cells, has been shown to be widepsread. This deviation from brownian motion is usually characterized by a sublinear time dependence of the mean…

Statistical Mechanics · Physics 2009-11-13 S. Condamin , V. Tejedor , R. Voituriez , O. Benichou , J. Klafter

We present a multiscale approach to model diffusion in a crowded environment and its effect on the reaction rates. Diffusion in biological systems is often modeled by a discrete space jump process in order to capture the inherent noise of…

Subcellular Processes · Quantitative Biology 2016-03-18 Lina Meinecke

The influence of crowding on the diffusion of tagged particles in a dense medium is investigated in the framework of a mean-field model, derived in the continuum limit from a microscopic stochastic process with exclusion. The probability…

Statistical Mechanics · Physics 2015-06-19 Marta Galanti , Duccio Fanelli , Amos Maritan , Francesco Piazza

In this paper, we present algorithms for reconstructing an unknown compact scatterer embedded in a random noisy background medium, given measurements of the scattered field and information about the background medium and the sound profile.…

Numerical Analysis · Mathematics 2019-01-29 Carlos Borges , George Biros

We explore various models for the pattern forming instability in a laser-driven cloud of cold two-level atoms with a plane feedback mirror. Focus is on the combined treatment of nonlinear propagation in a diffractively thick medium and the…

Atomic Physics · Physics 2016-06-16 W. J. Firth , I. Krešić , G. Labeyrie , A. Camara , P. Gomes , T. Ackemann

Image harmonization aims to achieve visual consistency in composite images by adapting a foreground to make it compatible with a background. However, existing methods always only use the real image as the positive sample to guide the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Yucheng Hang , Bin Xia , Wenming Yang , Qingmin Liao

Multi-configurational wave functions are known to describe electronic structure across a Born-Oppenheimer surface qualitatively correct. However, for quantitative reaction energies, dynamical correlation originating from the many…

Chemical Physics · Physics 2020-04-16 Christopher J. Stein , Markus Reiher

We show how quantum coherence effects can be used to improve the resolution and the contrast of diffraction-limited images imprinted onto a probe field. The narrow and sharp spectral features generated by double-dark resonances (DDR) are…

Quantum Physics · Physics 2014-03-26 Onkar N. Verma , Tarak N. Dey

We realized one dimensional disordered photonic structures by grouping high refractive index layers in clusters, randomly distributed in such structure. We have control on the maximum size of the cluster and on the ratio high-low refractive…

Materials Science · Physics 2016-09-21 Michele Bellingeri , Francesco Scotognella

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

In this paper we propose a modified cross correlation method to align images from the same class in single-particle electron microscopy of highly non-spherical structures. In this new method, First we coarsely align projection images, and…

Quantitative Methods · Quantitative Biology 2018-12-26 Wooram Park , Gregory S. Chirikjian

Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the finite dataset so that the reverse-time SDE samples are mostly…

Machine Learning · Computer Science 2025-05-30 Franck Gabriel , François Ged , Maria Han Veiga , Emmanuel Schertzer

In this paper, a novel gamma-shadowed two-ray with diffuse power (GS-TWDP) composite fading model is proposed. The model is intended for modeling propagation in the emerging wireless networks working at millimeter wave (mmWave) frequencies,…

Signal Processing · Electrical Eng. & Systems 2022-03-07 Pamela Njemcevic , Almir Maric

Mode separation, namely how sharply a distribution fragments into barrier-separated clusters, is a fundamental geometric property of densities, difficult to quantify in high dimensions. It is structurally distinct from dispersion, yet…

Machine Learning · Statistics 2026-05-12 Shaul Tolkovsky , Ori Meidler , Or Zuk

Scale-mixture shrinkage priors have recently been shown to possess robust empirical performance and excellent theoretical properties such as model selection consistency and (near) minimax posterior contraction rates. In this paper, the…

Methodology · Statistics 2022-12-27 Ahmed Alhamzawi , Gorgees Shaheed Mohammad

We treat analytically a model that captures several features of the phenomenon of spatially inhomogeneous reversal of an order parameter. The model is a classical Ginzburg-Landau field theory restricted to a bounded one-dimensional spatial…

Statistical Mechanics · Physics 2007-05-23 Robert S. Maier , D. L. Stein

Correlation functions are a standard tool for analyzing statistical particle trajectories. Recently, a so called mean back relaxation (MBR) has been introduced, which correlates positions at three time points. The deviation of its long time…

Statistical Mechanics · Physics 2024-10-07 Gabriel Knotz , Matthias Krüger