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There is widespread interest in estimating the fluorescence properties of natural materials in an image. However, the separation between reflected and fluoresced components is difficult, because it is impossible to distinguish reflected and…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Henryk Blasinski , Joyce Farrell , Brian Wandell

This paper deals with the kernel density estimator based on the so-called sinc (or Fourier integral) kernel $K(x)=(\pi x)^{-1}\sin x$. We study in detail both asymptotic and finite sample properties of this estimator. It is shown that,…

Statistics Theory · Mathematics 2026-05-11 Ingrid Kristine Glad , Nils Lid Hjort , Nikolai G. Ushakov

The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample space. The kernel functions are a compactly supported basis…

Numerical Analysis · Mathematics 2020-08-04 Giacomo Capodaglio , Max Gunzburger

We use a support vector regressor based on a projected quantum kernel method to predict the density structure of 1D fermionic systems of interest in quantum chemistry and quantum matter. The kernel is built on with the observables of a…

Quantum Physics · Physics 2025-09-01 Francesco Perciavalle , Francesco Plastina , Michele Pisarra , Nicola Lo Gullo

In this work, we establish the asymptotic normality of the deconvolution kernel density estimator in the context of strongly mixing random fields. Only minimal conditions on the bandwidth parameter are required and a simple criterion on the…

Statistics Theory · Mathematics 2012-03-19 Ahmed El Ghini , Mohamed El Machkouri

The high-dimensional nature of the 4-D light field (LF) poses great challenges in achieving efficient and effective feature embedding, that severely impacts the performance of downstream tasks. To tackle this crucial issue, in contrast to…

Image and Video Processing · Electrical Eng. & Systems 2024-01-12 Xianqiang Lyu , Junhui Hou

The performance and ease of use of deep learning-based binary classifiers have improved significantly in recent years. This has opened up the potential for automating critical inspection tasks, which have traditionally only been trusted to…

Machine Learning · Computer Science 2026-02-25 Thorbjørn Mosekjær Iversen , Zebin Duan , Frederik Hagelskjær

We propose the adaptive random Fourier features Gaussian kernel LMS (ARFF-GKLMS). Like most kernel adaptive filters based on stochastic gradient descent, this algorithm uses a preset number of random Fourier features to save computation…

Signal Processing · Electrical Eng. & Systems 2022-07-18 Wei Gao , Jie Chen , Cédric Richard , Wentao Shi , Qunfei Zhang

Frozen Density Embedding (FDE) represents a versatile embedding scheme to describe the environmental effect on the electron dynamics in molecular systems. The extension of the general theory of FDE to the real-time time-dependent Kohn-Sham…

Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Charles Laroche , Andrés Almansa , Eva Coupete

We explore the minimax optimality of goodness-of-fit tests on general domains using the kernelized Stein discrepancy (KSD). The KSD framework offers a flexible approach for goodness-of-fit testing, avoiding strong distributional…

Statistics Theory · Mathematics 2025-01-24 Omar Hagrass , Bharath Sriperumbudur , Krishnakumar Balasubramanian

In this paper, we construct a moment inequality for mixing dependent random variables, it is of independent interest. As applications, the consistency of the kernel density estimation is investigated. Several limit theorems are established:…

Statistics Theory · Mathematics 2013-06-07 Yuexu Zhao , Zhengyan Lin

We construct rest-frame luminosity functions at 3.6, 4.5, 5.8, 8 and 24 microns over the redshift range 0<z<2 for galaxies and 0<z<4 for optical QSOs, using optical and infrared data from the Spitzer Wide-area InfraRed Extragalactic survey.…

We present two versatile methods to generally enhance self-supervised monocular depth estimation (MDE) models. The high generalizability of our methods is achieved by solving the fundamental and ubiquitous problems in photometric loss…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Xingyu Chen , Thomas H. Li , Ruonan Zhang , Ge Li

Consistent in-focus input imagery is an essential precondition for machine vision systems to perceive the dynamic environment. A defocus blur severely degrades the performance of vision systems. To tackle this problem, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-11 Jisheng Li , Qi Dai , Jiangtao Wen

The Kernel-Free Boundary Integral (KFBI) method presents an iterative solution to boundary integral equations arising from elliptic partial differential equations (PDEs). This method effectively addresses elliptic PDEs on irregular domains,…

Machine Learning · Computer Science 2024-04-24 Shuo Ling , Liwei Tan , Wenjun Ying

Frequent significant deviations of the observed magnitude distribution of anthropogenic seismicity from the Gutenberg-Richter relation require alternative estimation methods for probabilistic seismic hazard assessments. We evaluate five…

Geophysics · Physics 2025-12-22 Francis Tong , Stanisław Lasocki , Beata Orlecka-Sikora

Maximizing the Kullback-Leibler divergence (KLD) is a fundamental problem in waveform design for active sensing and hypothesis testing, as it directly relates to the error exponent of detection probability. However, the associated…

Signal Processing · Electrical Eng. & Systems 2026-01-05 Jeongwoo Park , Seongkyu Jung , Kaiming Shen , Jeonghun Park

Spectroscopic investigations provide important insights into the composition of luminescence emissions relevant to trapped-charge dating of sediments. Accurate wavelength calibration and a correction for the wavelength-dependent detection…

Data Analysis, Statistics and Probability · Physics 2024-08-16 Mariana Sontag-González , Dirk Mittelstraß , Sebastian Kreutzer , Markus Fuchs

Modeling non-Lambertian effects such as facial specularity leads to a more realistic 3D Morphable Face Model. Existing works build parametric models for diffuse and specular albedo using Light Stage data. However, only diffuse and specular…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Yuxuan Han , Zhibo Wang , Feng Xu