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Gaussian Process (GP) regression is a powerful nonparametric Bayesian framework, but its performance depends critically on the choice of covariance kernel. Selecting an appropriate kernel is therefore central to model quality, yet remains…

机器学习 · 计算机科学 2026-01-14 Md Shafiqul Islam , Shakti Prasad Padhy , Douglas Allaire , Raymundo Arróyave

Quantum computing algorithms have been shown to produce performant quantum kernels for machine-learning classification problems. Here, we examine the performance of quantum kernels for regression problems of practical interest. For an…

量子物理 · 物理学 2024-09-30 Xuyang Guo , Jun Dai , Roman V. Krems

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

机器学习 · 统计学 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

In this article we investigate the effects of conformal transformations on kernel functions used in Support Vector Machines. Our focus lies in the task of text document categorization, which involves assigning each document to a particular…

机器学习 · 计算机科学 2024-06-04 Ioana Rădulescu , Alexandra Băicoianu , Adela Mihai

Learning the kernel parameters for Gaussian processes is often the computational bottleneck in applications such as online learning, Bayesian optimization, or active learning. Amortizing parameter inference over different datasets is a…

机器学习 · 计算机科学 2023-06-19 Matthias Bitzer , Mona Meister , Christoph Zimmer

Blood flow reconstruction in the vasculature is important for many clinical applications. However, in clinical settings, the available data are often quite limited. For instance, Transcranial Doppler ultrasound (TCD) is a noninvasive…

图像与视频处理 · 电气工程与系统科学 2024-03-18 Shaghayegh Z. Ashtiani , Mohammad Sarabian , Kaveh Laksari , Hessam Babaee

In this paper, we present the Gaussian process regression as the predictive model for Quality-of-Service (QoS) attributes in Web service systems. The goal is to predict performance of the execution system expressed as QoS attributes given…

网络与互联网体系结构 · 计算机科学 2013-05-09 Jakub M. Tomczak , Jerzy Swiatek , Krzysztof Latawiec

We present a novel variation of online kernel machines in which we exploit a consensus based optimization mechanism to guide the evolution of decision functions drawn from a reproducing kernel Hilbert space, which efficiently models the…

机器学习 · 统计学 2019-12-18 Raghu G. Raj

Due to the popularity of smartphones and wearable devices nowadays, mobile health (mHealth) technologies are promising to bring positive and wide impacts on people's health. State-of-the-art decision-making methods for mHealth rely on some…

机器学习 · 计算机科学 2017-08-15 Feiyun Zhu , Jun Guo , Zheng Xu , Peng Liao , Junzhou Huang

Many applications in speech, robotics, finance, and biology deal with sequential data, where ordering matters and recurrent structures are common. However, this structure cannot be easily captured by standard kernel functions. To model such…

机器学习 · 计算机科学 2017-10-06 Maruan Al-Shedivat , Andrew Gordon Wilson , Yunus Saatchi , Zhiting Hu , Eric P. Xing

We propose an efficient nonparametric strategy for learning a message operator in expectation propagation (EP), which takes as input the set of incoming messages to a factor node, and produces an outgoing message as output. This learned…

We present xokde++, a state-of-the-art online kernel density estimation approach that maintains Gaussian mixture models input data streams. The approach follows state-of-the-art work on online density estimation, but was redesigned with…

机器学习 · 计算机科学 2016-06-10 Jaime Ferreira , David Martins de Matos , Ricardo Ribeiro

The bacterial microbiome is increasingly being recognised as a key factor in human health, driven in large part by datasets collected using 16S rRNA (ribosomal ribonucleic acid) gene sequencing, which enable cost-effective quantification of…

应用统计 · 统计学 2025-09-08 Jonathan Ish-Horowicz , Sarah Filippi

Gaussian processes regression models are an appealing machine learning method as they learn expressive non-linear models from exemplar data with minimal parameter tuning and estimate both the mean and covariance of unseen points. However,…

机器学习 · 计算机科学 2020-08-25 Vladimir Joukov , Dana Kulić

Gaussian processes (GPs) produce good probabilistic models of functions, but most GP kernels require $O((n+m)n^2)$ time, where $n$ is the number of data points and $m$ the number of predictive locations. We present a new kernel that allows…

机器学习 · 计算机科学 2023-04-03 Michael K. Cohen , Samuel Daulton , Michael A. Osborne

We propose a graph spectrum-based Gaussian process for prediction of signals defined on nodes of the graph. The model is designed to capture various graph signal structures through a highly adaptive kernel that incorporates a flexible…

机器学习 · 计算机科学 2020-10-29 Yin-Cong Zhi , Yin Cheng Ng , Xiaowen Dong

We consider learning on graphs, guided by kernels that encode similarity between vertices. Our focus is on random walk kernels, the analogues of squared exponential kernels in Euclidean spaces. We show that on large, locally treelike,…

机器学习 · 统计学 2013-10-01 Matthew Urry , Peter Sollich

Marginalising over families of Gaussian Process kernels produces flexible model classes with well-calibrated uncertainty estimates. Existing approaches require likelihood evaluations of many kernels, rendering them prohibitively expensive…

机器学习 · 统计学 2023-03-16 Saad Hamid , Sebastian Schulze , Michael A. Osborne , Stephen J. Roberts

Learning precise surrogate models of complex computer simulations and physical machines often require long-lasting or expensive experiments. Furthermore, the modeled physical dependencies exhibit nonlinear and nonstationary behavior.…

机器学习 · 计算机科学 2023-03-20 Matthias Bitzer , Mona Meister , Christoph Zimmer

Normative and task-driven theories offer powerful top-down explanations for biological systems, yet the goals of quantitatively arbitrating between competing theories, and utilizing them as inductive biases to improve data-driven fits of…

人工智能 · 计算机科学 2025-09-30 Bahti Zakirov , Gašper Tkačik