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Sparse variational Gaussian process (SVGP) methods are a common choice for non-conjugate Gaussian process inference because of their computational benefits. In this paper, we improve their computational efficiency by using a dual…

机器学习 · 计算机科学 2022-01-20 Vincent Adam , Paul E. Chang , Mohammad Emtiyaz Khan , Arno Solin

Cosmological measurements require the calculation of nontrivial quantities over large datasets. The next generation of survey telescopes (such as DES, PanSTARRS, and LSST) will yield measurements of billions of galaxies. The scale of these…

天体物理仪器与方法 · 物理学 2012-12-10 Deborah Bard , Matthew Bellis , Mark T. Allen , Hasmik Yepremyan , Jan M. Kratochvil

Objective: Gaussian Processes (GP)-based filters, which have been effectively used for various applications including electrocardiogram (ECG) filtering can be computationally demanding and the choice of their hyperparameters is typically ad…

信号处理 · 电气工程与系统科学 2024-01-10 Mircea Dumitru , Qiao Li , Erick Andres Perez Alday , Ali Bahrami Rad , Gari D. Clifford , Reza Sameni

Due to their flexibility, Gaussian processes (GPs) have been widely used in nonparametric function estimation. A prior information about the underlying function is often available. For instance, the physical system (computer model output)…

统计方法学 · 统计学 2017-11-21 Hassan Maatouk

Gaussian Processes (GPs) are widely recognized as powerful non-parametric models for regression and classification. Traditional GP frameworks predominantly operate under the assumption that the inputs are either accurately known or subject…

系统与控制 · 电气工程与系统科学 2025-10-14 Muzaffar Qureshi , Tochukwu Elijah Ogri , Zachary I. Bell , Wanjiku A. Makumi , Rushikesh Kamalapurkar

Gaussian processes (GPs) have been extensively utilized as nonparametric models for component separation in 21 cm data analyses. This exploits the distinct spectral behavior of the cosmological and foreground signals, which are modeled…

宇宙学与河外天体物理 · 物理学 2025-05-13 Kangning Diao , Richard D. P. Grumitt , Yi Mao

In this work, we propose a novel methodology for robustly estimating particle size distributions from optical scattering measurements using constrained Gaussian process regression. The estimation of particle size distributions is commonly…

机器学习 · 统计学 2025-07-08 Fahime Seyedheydari , Mahdi Nasiri , Marcin Mińkowski , Simo Särkkä

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

The radial velocity method is a very productive technique used to detect and confirm extrasolar planets. The most recent spectrographs, such as ESPRESSO or EXPRES, have the potential to detect Earth-like planets around Sun-like stars.…

地球与行星天体物理 · 物理学 2022-03-30 J. -B. Delisle , N. Unger , N. C. Hara , D. Ségransan

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

Gaussian Processes (GPs) are a class of kernel methods that have shown to be very useful in geoscience applications. They are widely used because they are simple, flexible and provide very accurate estimates for nonlinear problems,…

机器学习 · 统计学 2020-12-10 Juan Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

A computational method based on the non-linear Gaussian process (GP), known as deep Gaussian processes (deep GPs) for uncertainty quantification & propagation in modelling of flow through heterogeneous porous media is presented. The method…

机器学习 · 统计学 2020-11-06 A. Daneshkhah , O. Chatrabgoun , M. Esmaeilbeigi , T. Sedighi , S. Abolfathi

A key challenge in the practical application of Gaussian processes (GPs) is selecting a proper covariance function. The moving average, or process convolutions, construction of GPs allows some additional flexibility, but still requires…

机器学习 · 统计学 2022-10-19 Thomas M. McDonald , Magnus Ross , Michael T. Smith , Mauricio A. Álvarez

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

机器学习 · 统计学 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

3D Gaussian Splatting (3DGS) is a new method for modeling and rendering 3D radiance fields that achieves much faster learning and rendering time compared to SOTA NeRF methods. However, it comes with a drawback in the much larger storage…

计算机视觉与模式识别 · 计算机科学 2024-09-30 KL Navaneet , Kossar Pourahmadi Meibodi , Soroush Abbasi Koohpayegani , Hamed Pirsiavash

As the hunt for an Earth-like exoplanets has intensified in recent years, so has the effort to characterise and model the stellar signals that can hide or mimic small planetary signals. Stellar variability arises from a number of sources,…

太阳与恒星天体物理 · 物理学 2024-04-19 Niamh K. O'Sullivan , Suzanne Aigrain

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

We derive solutions to transit light curves of exoplanets orbiting rapidly-rotating stars. These stars exhibit significant oblateness and gravity darkening, a phenomenon where the poles of the star have a higher temperature and luminosity…

地球与行星天体物理 · 物理学 2022-02-16 Shashank Dholakia , Rodrigo Luger , Shishir Dholakia

We propose a flexible procedure for large-scale image search by hash functions with kernels. Our method treats binary codes and pairwise semantic similarity as latent and observed variables, respectively, in a probabilistic model based on…

计算机视觉与模式识别 · 计算机科学 2016-04-26 Bahadir Ozdemir , Larry S. Davis