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Recommender systems are often designed based on a collaborative filtering approach, where user preferences are predicted by modelling interactions between users and items. Many common approaches to solve the collaborative filtering task are…

机器学习 · 计算机科学 2021-10-11 Yinchong Yang , Florian Buettner

This work introduces the concept of parametric Gaussian processes (PGPs), which is built upon the seemingly self-contradictory idea of making Gaussian processes parametric. Parametric Gaussian processes, by construction, are designed to…

机器学习 · 统计学 2017-05-08 Maziar Raissi

Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

机器学习 · 统计学 2024-09-20 Qiuxian Meng , Yongyou Zhang

In this paper, we present a kernel-based, multi-task Gaussian Process (GP) model for approximating the underlying function of an individual's mobility state using a time-inhomogeneous Markov Process with two states: moves and pauses. Our…

机器学习 · 统计学 2023-06-22 Ekin Ugurel

Discovering interaction effects on a response of interest is a fundamental problem faced in biology, medicine, economics, and many other scientific disciplines. In theory, Bayesian methods for discovering pairwise interactions enjoy many…

统计计算 · 统计学 2022-11-15 Raj Agrawal , Jonathan H. Huggins , Brian Trippe , Tamara Broderick

Multi-fidelity modelling arises in many situations in computational science and engineering world. It enables accurate inference even when only a small set of accurate data is available. Those data often come from a high-fidelity model,…

机器学习 · 统计学 2022-04-12 Jiahao Zhang , Shiqi Zhang , Guang Lin

Gaussian Processes (GPs), as a nonparametric learning method, offer flexible modeling capabilities and calibrated uncertainty quantification for function approximations. Additionally, GPs support online learning by efficiently incorporating…

机器学习 · 计算机科学 2025-11-18 Zewen Yang , Dongfa Zhang , Xiaobing Dai , Fengyi Yu , Chi Zhang , Bingkun Huang , Hamid Sadeghian , Sami Haddadin

Gaussian processes (GPs) are instrumental in modeling spatial processes, offering precise interpolation and prediction capabilities across fields such as environmental science and biology. Recently, there has been growing interest in…

统计方法学 · 统计学 2025-09-04 Jiawen Chen , Aritra Halder , Yun Li , Sudipto Banerjee , Didong Li

Probabilistic models are often used to make predictions in regions of the data space where no observations are available, but it is not always clear whether such predictions are well-informed by previously seen data. In this paper, we…

机器学习 · 统计学 2026-02-24 Kurt Butler , Guanchao Feng , Tong Chen , Petar Djuric

The wide adoption of Convolutional Neural Networks (CNNs) in applications where decision-making under uncertainty is fundamental, has brought a great deal of attention to the ability of these models to accurately quantify the uncertainty in…

Sparse variational Gaussian processes (GPs) construct tractable posterior approximations to GP models. At the core of these methods is the assumption that the true posterior distribution over training function values ${\bf f}$ and inducing…

机器学习 · 计算机科学 2025-06-27 Michalis K. Titsias

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

机器学习 · 统计学 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Gaussian processes are notorious for scaling cubically with the size of the training set, preventing application to very large regression problems. Computation-aware Gaussian processes (CAGPs) tackle this scaling issue by exploiting…

机器学习 · 统计学 2025-03-24 Disha Hegde , Mohamed Adil , Jon Cockayne

Deep Gaussian Processes (DGPs) were proposed as an expressive Bayesian model capable of a mathematically grounded estimation of uncertainty. The expressivity of DPGs results from not only the compositional character but the distribution…

机器学习 · 计算机科学 2021-11-23 Chi-Ken Lu , Patrick Shafto

The standard Gaussian Process (GP) only considers a single output sample per input in the training set. Datasets for subjective tasks, such as spoken language assessment, may be annotated with output labels from multiple human raters per…

计算与语言 · 计算机科学 2024-01-29 Jeremy H. M. Wong , Huayun Zhang , Nancy F. Chen

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

机器学习 · 统计学 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

机器学习 · 统计学 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

Maximizing high-dimensional, non-convex functions through noisy observations is a notoriously hard problem, but one that arises in many applications. In this paper, we tackle this challenge by modeling the unknown function as a sample from…

机器学习 · 计算机科学 2012-07-03 Bo Chen , Rui Castro , Andreas Krause

The Model Predictive Control (MPC) trajectory tracking problem of an unmanned quadrotor with input and output constraints is addressed. In this article, the dynamic models of the quadrotor are obtained purely from operational data in the…

系统与控制 · 计算机科学 2017-07-17 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Forecasting future events is a fundamental challenge for temporal knowledge graphs (tKG). As in real life predicting a mean function is most of the time not sufficient, but the question remains how confident can we be about our prediction?…

机器学习 · 计算机科学 2023-01-13 Soeren Nolting , Zhen Han , Volker Tresp
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