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We present a non-parametric model for inferring the three-dimensional (3D) distribution of dust density in the Milky Way. Our approach uses the extinction measured towards stars at different locations in the Galaxy at approximately known…

Astrophysics of Galaxies · Physics 2017-03-22 S. Rezaei Kh. , C. A. L. Bailer-Jones , R. J. Hanson , M. Fouesneau

We have developed a method based on wavelets to obtain the true underlying smooth density from a point distribution. The goal has been to reconstruct the density field in an optimal way ensuring that the morphology of the reconstructed…

Astrophysics · Physics 2009-11-13 V. J. Martinez , J. -L. Starck , E. Saar , D. L. Donoho , S. Reynolds , P. de la Cruz , S. Paredes

Generative diffusion models are becoming one of the most popular prior in image restoration (IR) tasks due to their remarkable ability to generate realistic natural images. Despite achieving satisfactory results, IR methods based on…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Di You , Pier Luigi Dragotti

We propose an automatic algorithm for 3D inverse electromagnetic scattering based on the combination of topological derivatives and regularized Gauss-Newton iterations. The algorithm is adapted to decoding digital holograms. A hologram is a…

Optics · Physics 2019-04-01 A. Carpio , T. G. Dimiduk , F. Le Louer , M. L. Rapun

Estimating shape and appearance of a three dimensional object from a given set of images is a classic research topic that is still actively pursued. Among the various techniques available, PS is distinguished by the assumption that the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-02 Georg Radow , Laurent Hoeltgen , Yvain Quéau , Michael Breuß

This letter presents a non-parametric modeling approach for forecasting stochastic dynamical systems on low-dimensional manifolds. The key idea is to represent the discrete shift maps on a smooth basis which can be obtained by the diffusion…

Dynamical Systems · Mathematics 2015-03-25 Tyrus Berry , Dimitrios Giannakis , John Harlim

On the scale of the cosmic horizon, signatures that are unique to general relativity are concealed within the statistics of the large scale distribution of galaxies. These were thought to be beyond the reach of all but the most ambitious…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-03 Samantha Josephine Rossiter , Stefano Camera , Federico Montano , Chris Clarkson , Dionysios Karagiannis , Roy Maartens

We consider the problem of sampling from a density of the form $p(x) \propto \exp(-f(x)- g(x))$, where $f: \mathbb{R}^d \rightarrow \mathbb{R}$ is a smooth and strongly convex function and $g: \mathbb{R}^d \rightarrow \mathbb{R}$ is a…

Machine Learning · Statistics 2019-10-02 Wenlong Mou , Nicolas Flammarion , Martin J. Wainwright , Peter L. Bartlett

We propose a novel deterministic protocol, based on continuous light flows, that enables us to control the concentration of light in generic plasmonic nanostructures. Based on an exact inversion of the response tensor of the nanosystem, the…

Optics · Physics 2010-11-22 Giorgio Volpe , Gabriel Molina-Terriza , Romain Quidant

We consider a Prohorov metric-based nonparametric approach to estimating the probability distribution of a random parameter vector in discrete-time abstract parabolic systems. We establish the existence and consistency of a least squares…

Methodology · Statistics 2023-04-25 Lernik Asserian , Suzan E. Luczak , I. G. Rosen

We cast multiview reconstruction from unknown pose as a generative modeling problem. From a collection of unannotated 2D images of a scene, our approach simultaneously learns both a network to predict camera pose from 2D image input, as…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Xin Yuan , Rana Hanocka , Michael Maire

This paper addresses the problem of inverse rendering from photometric images. Existing approaches for this problem suffer from the effects of self-shadows, inter-reflections, and lack of constraints on the surface reflectance, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Jingzhi Bao , Guanying Chen , Shuguang Cui

Controlling the charge carrier density provides an efficient way to trigger phase transitions and modulate the optoelectronic properties in natural materials. This approach could be used to induce topological transitions in the optical…

In order to improve image quality of projection in industrial applications, generally, a standard method is to increase the current or exposure time, which might cause overexposure of detector units in areas of thin objects or backgrounds.…

Image and Video Processing · Electrical Eng. & Systems 2024-12-10 Mengyu Sun , Dimeng Xia , Shusen Zhao , Weibin Zhang , Yaobin He

Denoising is intuitively related to projection. Indeed, under the manifold hypothesis, adding random noise is approximately equivalent to orthogonal perturbation. Hence, learning to denoise is approximately learning to project. In this…

Machine Learning · Computer Science 2024-06-04 Frank Permenter , Chenyang Yuan

We revisit the issue of non-parametric gravitational lens reconstruction and present a new method to obtain the cluster mass distribution using strong lensing data without using any prior information on the underlying mass. The method…

Astrophysics · Physics 2009-10-07 J. M. Diego , P. Protopapas , H. B Sandvik , M. Tegmark

The challenge of understanding the Universe's dynamics, particularly the Hubble tension, requires precise measurements of the Hubble constant. Building upon the existing spectral-siren method, which capitalizes on population information…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Thomas C. K. Ng , Stefano Rinaldi , Otto A. Hannuksela

Inverse rendering of outdoor scenes from unconstrained image collections is a challenging task, particularly illumination/albedo ambiguities and occlusion of the illumination environment (shadowing) caused by geometry. However, there are…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 James A. D. Gardner , Evgenii Kashin , Bernhard Egger , William A. P. Smith

We consider the demixing problem of two (or more) high-dimensional vectors from nonlinear observations when the number of such observations is far less than the ambient dimension of the underlying vectors. Specifically, we demonstrate an…

Machine Learning · Statistics 2017-01-25 Mohammadreza Soltani , Chinmay Hegde

Diffusion models have achieved remarkable success in imaging inverse problems owing to their powerful generative capabilities. However, existing approaches typically rely on models trained for specific degradation types, limiting their…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Zhen Wang , Hongyi Liu , Zhihui Wei
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