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This work presents a tractable approach to multi-object posterior computation under a generic measurement likelihood function. While filtering is a popular solution, valuable historical information is discarded. Posterior inference, which…

Computation · Statistics 2026-04-15 Ba Tuong Vo , Ba-Ngu Vo

Recently, Differentiable Ray Tracing has been successfully applied in the field of wireless communications for learning radio materials or optimizing the transmitter orientation. However, in the frame of gradient based optimization,…

Signal Processing · Electrical Eng. & Systems 2024-04-30 Jerome Eertmans , Laurent Jacques , Claude Oestges

In this paper, we propose a spectral method for deriving functions that are jointly smooth on multiple observed manifolds. This allows us to register measurements of the same phenomenon by heterogeneous sensors, and to reject…

Machine Learning · Computer Science 2022-04-15 Felix Dietrich , Or Yair , Rotem Mulayoff , Ronen Talmon , Ioannis G. Kevrekidis

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Mohamed Elawady , Olivier Alata , Christophe Ducottet , Cecile Barat , Philippe Colantoni

Smoothing operation to make continuous density field from observed point-like distribution of galaxies is crucially important for topological or morphological analysis of the large-scale structure, such as, the genus statistics or the area…

Astrophysics · Physics 2016-08-30 Naoki Seto

In this paper, we extend the correspondence between Bayesian estimation and optimal smoothing in a Reproducing Kernel Hilbert Space (RKHS) adding a convexe constraints on the solution. Through a sequence of approximating Hilbertian spaces…

Numerical Analysis · Mathematics 2021-07-13 X Bay , Laurence Grammont

Sparse hyperspectral unmixing from large spectral libraries has been considered to circumvent limitations of endmember extraction algorithms in many applications. This strategy often leads to ill-posed inverse problems, which can benefit…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

Spatial confounding is a fundamental issue in spatial regression models which arises because spatial random effects, included to approximate unmeasured spatial variation, are typically not independent of covariates in the model. This can…

Methodology · Statistics 2025-07-15 Emiko Dupont , Isa Marques , Thomas Kneib

Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances…

Computational Geometry · Computer Science 2014-03-05 Yonathan Aflalo , Anastasia Dubrovina , Ron Kimmel

Anomaly detection is a field of intense research. Identifying low probability events in data/images is a challenging problem given the high-dimensionality of the data, especially when no (or little) information about the anomaly is…

Machine Learning · Computer Science 2022-04-13 José A. Padrón-Hidalgo , Valero Laparra , Gustau Camps-Valls

Muon imaging is one of the most promising non-invasive techniques for density structure scanning, specially for large objects reaching the kilometre scale. It has already interesting applications in different fields like geophysics or…

Instrumentation and Detectors · Physics 2017-12-14 H. Gómez , D. Gibert , C. Goy , K. Jourde , Y. Karyotakis , S. Katsanevas , J. Marteau , M. Rosas-Carbajal , A. Tonazzo

We discuss some details regarding the method of smoothed residuals, which has recently been used to search for anisotropic signals in low-redshift distance measurements (Supernovae). In this short note we focus on some details regarding the…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-08 Stephen Appleby , Arman Shafieloo

The problem of testing hypothesis that a density function has no more than $\mu$ derivatives versus it has more than $\mu$ derivatives is considered. For a solution, the $L^2$ norms of wavelet orthogonal projections on some orthogonal…

Statistics Theory · Mathematics 2018-09-11 Bogdan Ćmiel , Karol Dziedziul , Barbara Wolnik

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

For security, environmental, and regulatory purposes it is useful to continuously monitor wide areas for unexpected changes in radioactivity. We report on a temporal anomaly detection algorithm which uses mobile detectors to build a spatial…

Data Analysis, Statistics and Probability · Physics 2014-07-10 Alex Reinhart , Alex Athey , Steven Biegalski

The availability of large spatial data geocoded at accurate locations has fueled a growing interest in spatial modeling and analysis of point processes. The proposed research is motivated by the intensity estimation problem for large…

Applications · Statistics 2021-07-19 Lihao Yin , Huiyan Sang

Accurately estimating data density is crucial for making informed decisions and modeling in various fields. This paper presents a novel nonparametric density estimation procedure that utilizes bivariate penalized spline smoothing over…

Methodology · Statistics 2024-10-29 Kunal Das , Shan Yu , Guannan Wang , Li Wang

With the recent development of high-end LiDARs, more and more systems are able to continuously map the environment while moving and producing spatially redundant information. However, none of the previous approaches were able to effectively…

Robotics · Computer Science 2017-09-19 Chanoh Park , Soohwan Kim , Peyman Moghadam , Clinton Fookes , Sridha Sridharan

In this paper, we consider the problem of estimating a conditional density in moderately large dimensions. Much more informative than regression functions, conditional densities are of main interest in recent methods, particularly in the…

Methodology · Statistics 2018-01-22 Minh-Lien Jeanne Nguyen

Spectral imaging enables spatially-resolved identification of materials in remote sensing, biomedicine, and astronomy. However, acquisition times require balancing spectral and spatial resolution with signal-to-noise. Hyperspectral imaging…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Nguyen Tran , Rupali Mankar , David Mayerich , Zhu Han