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This paper introduces algorithms to select/design kernels in Gaussian process regression/kriging surrogate modeling techniques. We adopt the setting of kernel method solutions in ad hoc functional spaces, namely Reproducing Kernel Hilbert…

机器学习 · 统计学 2022-09-07 Jean-Luc Akian , Luc Bonnet , Houman Owhadi , Éric Savin

It is well-known that the high computational complexity and the insufficient samples in large-scale array signal processing restrict the real-world applications of the conventional full-dimensional adaptive beamforming (sample matrix…

信息论 · 计算机科学 2014-05-20 Hu Xie , Da-Zheng Feng , Ming-Dong Yuan

We propose ULFS-KDPE, a kernel debiased plug-in estimator based on the universal least favorable submodel, for estimating pathwise differentiable parameters in nonparametric models. The method constructs a data-adaptive debiasing flow in a…

统计理论 · 数学 2026-03-11 Haiyi Chen , Yang Liu , Ivana Malenica

Scattered data interpolation schemes using kriging and radial basis functions (RBFs) have the advantage of being meshless and dimensional independent, however, for the data sets having insufficient observations, RBFs have the advantage over…

数值分析 · 数学 2018-06-12 Pankaj K Mishra , Sankar K Nath , Mrinal K Sen , Gregory E Fasshauer

Gaussian process tomography (GPT) is a method used for obtaining real-time tomographic reconstructions of the plasma emissivity profile in a tokamak, given some model for the underlying physical processes involved. GPT can also be used,…

数据分析、统计与概率 · 物理学 2020-12-02 Francisco Matos , Jakob Svensson , Andrea Pavone , Tomas Odstrcil , Frank Jenko

We describe a search-free resizing framework that can further improve the rate-distortion tradeoff of recent learned image compression models. Our approach is simple: compose a pair of differentiable downsampling/upsampling layers that…

图像与视频处理 · 电气工程与系统科学 2022-04-27 Li-Heng Chen , Christos G. Bampis , Zhi Li , Lukáš Krasula , Alan C. Bovik

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…

图像与视频处理 · 电气工程与系统科学 2021-03-11 Jisheng Li , Qi Dai , Jiangtao Wen

Existing ultrasound deconvolution approaches unrealistically assume, primarily for computational reasons, that the convolution model relies on a spatially invariant kernel and circulant boundary conditions. We discard both restrictions and…

信号处理 · 电气工程与系统科学 2021-09-21 Mihai I. Florea , Adrian Basarab , Denis Kouamé , Sergiy A. Vorobyov

Kernel ridge regression is used to approximate the kinetic energy of non-interacting fermions in a one-dimensional box as a functional of their density. The properties of different kernels and methods of cross-validation are explored, and…

This paper develops an interpretable, non-intrusive reduced-order modeling technique using regularized kernel interpolation. Existing non-intrusive approaches approximate the dynamics of a reduced-order model (ROM) by solving a data-driven…

计算工程、金融与科学 · 计算机科学 2026-01-26 Alejandro N Diaz , Shane A McQuarrie , John T Tencer , Patrick J Blonigan

A covariant energy density functional is calibrated using a principled Bayesian statistical framework informed by experimental binding energies and charge radii of several magic and semi-magic nuclei. The Bayesian sampling required for the…

核理论 · 物理学 2022-09-28 Pablo Giuliani , Kyle Godbey , Edgard Bonilla , Frederi Viens , Jorge Piekarewicz

Deep learning is an increasingly popular approach for inverting surface wave dispersion curves to obtain Vs profiles. However, its generalizability is constrained by the depth and velocity scales of training data. We propose a unified deep…

地球物理 · 物理学 2025-09-30 Tianjian Cheng , Hongrui Xu , Jiayu Feng , Xiongyu Hu , Chaofan Yao

We consider the inverse problem of the reconstruction of the spatially distributed dielectric constant $\varepsilon_{r}\left(\mathbf{x}\right), \ \mathbf{x}\in \mathbb{R}^{3}$, which is an unknown coefficient in the Maxwell's equations,…

We present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate. In addition, we…

统计理论 · 数学 2010-11-12 Z. I. Botev , J. F. Grotowski , D. P. Kroese

Typical Magnetic Resonance Imaging (MRI) scan may take 20 to 60 minutes. Reducing MRI scan time is beneficial for both patient experience and cost considerations. Accelerated MRI scan may be achieved by acquiring less amount of k-space data…

图像与视频处理 · 电气工程与系统科学 2020-01-15 Pak Lun Kevin Ding , Zhiqiang Li , Yuxiang Zhou , Baoxin Li

Current deep image super-resolution (SR) approaches aim to restore high-resolution images from down-sampled images or by assuming degradation from simple Gaussian kernels and additive noises. However, these techniques only assume crude…

计算机视觉与模式识别 · 计算机科学 2024-09-06 Hu Wang , Congbo Ma , Jianpeng Zhang , Wei Emma Zhang , Gustavo Carneiro

Deep MRI reconstruction is commonly performed with conditional models that de-alias undersampled acquisitions to recover images consistent with fully-sampled data. Since conditional models are trained with knowledge of the imaging operator,…

图像与视频处理 · 电气工程与系统科学 2023-09-19 Alper Güngör , Salman UH Dar , Şaban Öztürk , Yilmaz Korkmaz , Gokberk Elmas , Muzaffer Özbey , Tolga Çukur

Spectral kernel methods are techniques for transforming data into a coordinate system that efficiently reveals the geometric structure - in particular, the "connectivity" - of the data. These methods depend on certain tuning parameters. We…

统计方法学 · 统计学 2008-11-04 Ann B. Lee , Larry Wasserman

Depth super-resolution (DSR) aims to recover a high-resolution (HR) depth map from its low-resolution (LR) counterpart. With color image guidance, this task is typically formulated as learning the residual between HR and LR in a…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Zhiqiang Yan , Zhengxue Wang , Jian Yang , Gim Hee Lee

We study algorithms to estimate geometric properties of raw point cloud data through implicit surface representations. Given that any level-set function with a constant level set corresponding to the surface can be used for such…

数值分析 · 数学 2026-04-02 Alex Shiu Lun Chu , Leevan Ling , Ka Chun Cheung