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We present a new algorithm, named Autonomous Gaussian Decomposition (AGD), for automatically decomposing spectra into Gaussian components. AGD uses derivative spectroscopy and machine learning to provide optimized guesses for the number of…

Scalable spatial GPs for massive datasets can be built via sparse Directed Acyclic Graphs (DAGs) where a small number of directed edges is sufficient to flexibly characterize spatial dependence. The DAG can be used to devise fast algorithms…

统计方法学 · 统计学 2025-03-31 Michele Peruzzi , Sudipto Banerjee , David B. Dunson , Andrew O. Finley

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression model that is commonly used in causal inference and beyond. Its strong predictive performance is supported by well-developed estimation theory,…

机器学习 · 统计学 2026-02-10 Yan Shuo Tan , Omer Ronen , Theo Saarinen , Bin Yu

Hyperspectral images have far more spectral bands than ordinary multispectral images. Rich band information provides more favorable conditions for the tremendous applications. However, significant increase in the dimensionality of spectral…

计算机视觉与模式识别 · 计算机科学 2018-02-21 Fei Li , Pingping Zhang , Huchuan Lu

This study proposes a mathematical programming-based algorithm for the integrated selection of variable subsets and bandwidth estimation in geographically weighted regression, a local regression method that allows the kernel bandwidth and…

统计方法学 · 统计学 2025-03-24 Hyunwoo Lee , Young Woong Park

In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wave equation.In a recent article, we obtained promising…

偏微分方程分析 · 数学 2023-11-10 Iain Henderson , Pascal Noble , Olivier Roustant

Maneuvering target tracking is a challenging problem for sensor systems because of the unpredictability of the targets' motions. This paper proposes a novel data-driven method for learning the dynamical motion model of a target.…

信号处理 · 电气工程与系统科学 2022-11-28 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

A promising technique for the spectral design of acoustic metamaterials is based on the formulation of suitable constrained nonlinear optimization problems. Unfortunately, the straightforward application of classical gradient-based…

计算工程、金融与科学 · 计算机科学 2021-12-08 Giorgio Gnecco , Andrea Bacigalupo , Francesca Fantoni , Daniela Selvi

Most machine learning methods require tuning of hyper-parameters. For kernel ridge regression with the Gaussian kernel, the hyper-parameter is the bandwidth. The bandwidth specifies the length scale of the kernel and has to be carefully…

机器学习 · 统计学 2023-12-04 Oskar Allerbo , Rebecka Jörnsten

We study the problem of selecting the best sampling set for bandlimited reconstruction of signals on graphs. A frequency domain representation for graph signals can be defined using the eigenvectors and eigenvalues of variation operators…

信息论 · 计算机科学 2016-06-29 Aamir Anis , Akshay Gadde , Antonio Ortega

Vegetation indices allow to efficiently monitor vegetation growth and agricultural activities. Previous generations of satellites were capturing a limited number of spectral bands, and a few expert-designed vegetation indices were…

计算机视觉与模式识别 · 计算机科学 2024-12-19 Hiba Najjar , Francisco Mena , Marlon Nuske , Andreas Dengel

Despite the growing availability of sensing and data in general, we remain unable to fully characterise many in-service engineering systems and structures from a purely data-driven approach. The vast data and resources available to capture…

机器学习 · 计算机科学 2023-09-20 Elizabeth J Cross , Timothy J Rogers , Daniel J Pitchforth , Samuel J Gibson , Matthew R Jones

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

机器学习 · 计算机科学 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

The high dimensionality of hyperspectral images consisting of several bands often imposes a big computational challenge for image processing. Therefore, spectral band selection is an essential step for removing the irrelevant, noisy and…

计算机视觉与模式识别 · 计算机科学 2022-10-27 A. Elmaizi , E. Sarhrouni , A. Hammouch , C. Nacir

Optimization of product and system characteristics is required in many fields, including design and control. Bayesian optimization (BO) is often used when there are high observing costs, because BO theoretically guarantees an upper bound on…

机器学习 · 计算机科学 2024-03-26 Yasunori Taguchi , Hiro Gangi

This paper presents the algorithm developed in LSA-SAF (Satellite Application Facility for Land Surface Analysis) for the derivation of global vegetation parameters from the AVHRR (Advanced Very High-Resolution Radiometer) sensor onboard…

Changes in real-world dynamic processes are often described in terms of differences in energies $\textbf{E}(\underline{\alpha})$ of a set of spectral-bands $\underline{\alpha}$. Given continuous spectra of two classes $A$ and $B$, or in…

机器学习 · 计算机科学 2022-12-08 Akash Tiwari , Satish Bukkapatnam

Edge transport barriers (ETBs) in magnetically confined fusion plasmas, commonly known as pedestals, play a crucial role in achieving high confinement plasmas. However, their defining characteristic, a steep rise in plasma pressure over…

Gaussian Process Regression (GPR) is a Bayesian method for inferring profiles based on input data. The technique is increasing in popularity in the fusion community due to its many advantages over traditional fitting techniques including…

统计方法学 · 统计学 2022-09-07 Jarrod Leddy , Sandeep Madireddy , Eric Howell , Scott Kruger

We present and describe the GPFDA package for R. The package provides flexible functionalities for dealing with Gaussian process regression (GPR) models for functional data. Multivariate functional data, functional data with…

统计计算 · 统计学 2021-02-02 Evandro Konzen , Yafeng Cheng , Jian Qing Shi