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We present a practical way of introducing convolutional structure into Gaussian processes, making them more suited to high-dimensional inputs like images. The main contribution of our work is the construction of an inter-domain inducing…

机器学习 · 统计学 2017-09-07 Mark van der Wilk , Carl Edward Rasmussen , James Hensman

Bayesian learning with Gaussian processes demonstrates encouraging regression and classification performances in solving computer vision tasks. However, Bayesian methods on 3D manifold-valued vision data, such as meshes and point clouds,…

计算机视觉与模式识别 · 计算机科学 2021-11-02 Yonghui Fan , Yalin Wang

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

机器学习 · 计算机科学 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

机器学习 · 统计学 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

A novel variational inference based resampling framework is proposed to evaluate the robustness and generalization capability of deep learning models with respect to distribution shift. We use Auto Encoding Variational Bayes to find a…

机器学习 · 计算机科学 2019-10-29 Xudong Sun , Alexej Gossmann , Yu Wang , Bernd Bischl

The shape of an object is an important characteristic for many vision problems such as segmentation, detection and tracking. Being independent of appearance, it is possible to generalize to a large range of objects from only small amounts…

机器学习 · 统计学 2018-12-14 Alessandro Di Martino , Erik Bodin , Carl Henrik Ek , Neill D. F. Campbell

In recent years, neural networks have revolutionized various domains, yet challenges such as hyperparameter tuning and overfitting remain significant hurdles. Bayesian neural networks offer a framework to address these challenges by…

机器学习 · 计算机科学 2025-12-16 Hayk Amirkhanian , Marco F. Huber

Providing accurate uncertainty estimations is essential for producing reliable machine learning models, especially in safety-critical applications such as accelerator systems. Gaussian process models are generally regarded as the gold…

The Bayesian treatment of neural networks dictates that a prior distribution is specified over their weight and bias parameters. This poses a challenge because modern neural networks are characterized by a large number of parameters, and…

机器学习 · 统计学 2022-04-26 Ba-Hien Tran , Simone Rossi , Dimitrios Milios , Maurizio Filippone

As machine learning systems get widely adopted for high-stake decisions, quantifying uncertainty over predictions becomes crucial. While modern neural networks are making remarkable gains in terms of predictive accuracy, characterizing…

机器学习 · 计算机科学 2019-06-14 Melanie F. Pradier , Weiwei Pan , Jiayu Yao , Soumya Ghosh , Finale Doshi-velez

Wasserstein Barycenter is a principled approach to represent the weighted mean of a given set of probability distributions, utilizing the geometry induced by optimal transport. In this work, we present a novel scalable algorithm to…

机器学习 · 计算机科学 2021-11-30 Jiaojiao Fan , Amirhossein Taghvaei , Yongxin Chen

The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

广义相对论与量子宇宙学 · 物理学 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

Deep Learning (DL) holds great promise in reshaping the industry owing to its precision, efficiency, and objectivity. However, the brittleness of DL models to noisy and out-of-distribution inputs is ailing their deployment in sensitive…

图像与视频处理 · 电气工程与系统科学 2025-10-03 Giuseppina Carannante , Nidhal C. Bouaynaya , Dimah Dera , Hassan M. Fathallah-Shaykh , Ghulam Rasool

Many real-world applications demand accurate and fast predictions, as well as reliable uncertainty estimates. However, quantifying uncertainty on high-dimensional predictions is still a severely under-investigated problem, especially when…

计算工程、金融与科学 · 计算机科学 2025-02-04 Saurabh Deshpande , Hussein Rappel , Mark Hobbs , Stéphane P. A. Bordas , Jakub Lengiewicz

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

机器学习 · 统计学 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

Graph Neural Networks have achieved impressive results across diverse network modeling tasks, but accurately estimating uncertainty on graphs remains difficult, especially under distributional shifts. Unlike traditional uncertainty…

机器学习 · 计算机科学 2025-10-15 Fred Xu , Thomas Markovich

While offering a principled framework for uncertainty quantification in deep learning, the employment of Bayesian Neural Networks (BNNs) is still constrained by their increased computational requirements and the convergence difficulties…

机器学习 · 计算机科学 2025-05-26 Moule Lin , Shuhao Guan , Weipeng Jing , Goetz Botterweck , Andrea Patane

We propose a novel method for neural network quantization that casts the neural architecture search problem as one of hyperparameter search to find non-uniform bit distributions throughout the layers of a CNN. We perform the search assuming…

计算机视觉与模式识别 · 计算机科学 2020-07-21 Marcelo Gennari do Nascimento , Theo W. Costain , Victor Adrian Prisacariu

We propose stochastic, non-parametric activation functions that are fully learnable and individual to each neuron. Complexity and the risk of overfitting are controlled by placing a Gaussian process prior over these functions. The result is…

机器学习 · 统计学 2017-12-01 Sebastian Urban , Marcus Basalla , Patrick van der Smagt

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

机器学习 · 统计学 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines