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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,…

Machine Learning · Statistics 2017-11-15 Hugh Salimbeni , Marc Deisenroth

Deep Learning (DL) has achieved great success in many real applications. Despite its success, there are some main problems when deploying advanced DL models in database systems, such as hyper-parameters tuning, the risk of overfitting, and…

Databases · Computer Science 2021-07-20 Kangfei Zhao , Jeffrey Xu Yu , Zongyan He , Hao Zhang

Dependence between nodes in a network is an important concept that pervades many areas including finance, politics, sociology, genomics and the brain sciences. One way to characterize dependence between components of a multivariate time…

Machine Learning · Statistics 2024-08-08 Malik Shahid Sultan , Samuel Horvath , Hernando Ombao

Sequence generation models are increasingly being used to translate natural language into programs, i.e. to perform executable semantic parsing. The fact that semantic parsing aims to predict programs that can lead to executed actions in…

Computation and Language · Computer Science 2023-07-10 Elias Stengel-Eskin , Benjamin Van Durme

Deep neural networks have revolutionized many fields, but their black-box nature also occasionally prevents their wider adoption in fields such as healthcare and finance, where interpretable and explainable models are required. The recent…

Machine Learning · Computer Science 2024-03-20 Wei Zhang , Brian Barr , John Paisley

Capturing global contextual representations by exploiting long-range pixel-pixel dependencies has shown to improve semantic segmentation performance. However, how to do this efficiently is an open question as current approaches of utilising…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Qinghui Liu , Michael Kampffmeyer , Robert Jenssen , Arnt-Børre Salberg

Gaussian processes (GPs) are nonparametric priors over functions. Fitting a GP implies computing a posterior distribution of functions consistent with the observed data. Similarly, deep Gaussian processes (DGPs) should allow us to compute a…

Gaussian processes (GPs) provide a nonparametric representation of functions. However, classical GP inference suffers from high computational cost for big data. In this paper, we propose a new Bayesian approach, EigenGP, that learns both…

Machine Learning · Computer Science 2015-07-14 Hao Peng , Yuan Qi

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

Machine Learning · Computer Science 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Transformer models have achieved profound success in prediction tasks in a wide range of applications in natural language processing, speech recognition and computer vision. Extending Transformer's success to safety-critical domains…

Machine Learning · Computer Science 2025-09-11 Wenlong Chen , Yingzhen Li

Meta-learning is a powerful approach that exploits historical data to quickly solve new tasks from the same distribution. In the low-data regime, methods based on the closed-form posterior of Gaussian processes (GP) together with Bayesian…

Neural Processes (NPs; Garnelo et al., 2018a,b) are a rich class of models for meta-learning that map data sets directly to predictive stochastic processes. We provide a rigorous analysis of the standard maximum-likelihood objective used to…

Machine Learning · Statistics 2021-01-12 Wessel P. Bruinsma , James Requeima , Andrew Y. K. Foong , Jonathan Gordon , Richard E. Turner

Modern artificial intelligence systems make critical decisions yet often fail silently when uncertain -- even well-calibrated models provide no mechanism to identify \textit{which specific predictions} are unreliable. We develop a geometric…

Machine Learning · Statistics 2025-12-02 Soumojit Das , Nairanjana Dasgupta , Prashanta Dutta

Adversarial attacks pose a significant challenge to deploying deep learning models in safety-critical applications. Maintaining model robustness while ensuring interpretability is vital for fostering trust and comprehension in these models.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Amira Guesmi , Nishant Suresh Aswani , Muhammad Shafique

Ensuring reliable confidence scores from deep neural networks is of paramount significance in critical decision-making systems, particularly in real-world domains such as healthcare. Recent literature on calibrating deep segmentation…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Balamurali Murugesan , Sukesh Adiga Vasudeva , Bingyuan Liu , Hervé Lombaert , Ismail Ben Ayed , Jose Dolz

Neal (1996) proved that infinitely wide shallow Bayesian neural networks (BNN) converge to Gaussian processes (GP), when the network weights have bounded prior variance. Cho & Saul (2009) provided a useful recursive formula for deep kernel…

Machine Learning · Statistics 2025-05-05 Jorge Loría , Anindya Bhadra

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

Machine Learning · Statistics 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Deep Gaussian processes (DGPs) provide a Bayesian non-parametric alternative to standard parametric deep learning models. A DGP is formed by stacking multiple GPs resulting in a well-regularized composition of functions. The Bayesian…

Machine Learning · Statistics 2018-06-06 Vinayak Kumar , Vaibhav Singh , P. K. Srijith , Andreas Damianou

Model selection in Gaussian processes scales prohibitively with the size of the training dataset, both in time and memory. While many approximations exist, all incur inevitable approximation error. Recent work accounts for this error in the…

Machine Learning · Computer Science 2025-07-08 Jonathan Wenger , Kaiwen Wu , Philipp Hennig , Jacob R. Gardner , Geoff Pleiss , John P. Cunningham

While the great capability of Transformers significantly boosts prediction accuracy, it could also yield overconfident predictions and require calibrated uncertainty estimation, which can be commonly tackled by Gaussian processes (GPs).…

Machine Learning · Computer Science 2024-05-29 Yingyi Chen , Qinghua Tao , Francesco Tonin , Johan A. K. Suykens