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Related papers: Deep convolutional Gaussian processes

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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…

Machine Learning · Statistics 2017-09-07 Mark van der Wilk , Carl Edward Rasmussen , James Hensman

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

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

Machine Learning · Statistics 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

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.…

Machine Learning · Statistics 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Image classification is a fundamental task in computer vision with diverse applications, ranging from autonomous systems to medical imaging. The CIFAR-10 dataset is a widely used benchmark to evaluate the performance of classification…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Xiaoran Yang , Shuhan Yu , Wenxi Xu

Bayesian methods in machine learning, such as Gaussian processes, have great advantages com-pared to other techniques. In particular, they provide estimates of the uncertainty associated with a prediction. Extending the Bayesian approach to…

Quantum Physics · Physics 2019-05-20 Zhikuan Zhao , Alejandro Pozas-Kerstjens , Patrick Rebentrost , Peter Wittek

Convolutional Neural Network is known as ConvNet have been extensively used in many complex machine learning tasks. However, hyperparameters optimization is one of a crucial step in developing ConvNet architectures, since the accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Pushparaja Murugan

We propose a novel Bayesian nonparametric method to learn translation-invariant relationships on non-Euclidean domains. The resulting graph convolutional Gaussian processes can be applied to problems in machine learning for which the input…

Machine Learning · Computer Science 2019-05-15 Ian Walker , Ben Glocker

The composition of multiple Gaussian Processes as a Deep Gaussian Process (DGP) enables a deep probabilistic nonparametric approach to flexibly tackle complex machine learning problems with sound quantification of uncertainty. Existing…

Machine Learning · Statistics 2017-03-02 Kurt Cutajar , Edwin V. Bonilla , Pietro Michiardi , Maurizio Filippone

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

We introduce a new interpretation of sparse variational approximations for Gaussian processes using inducing points, which can lead to more scalable algorithms than previous methods. It is based on decomposing a Gaussian process as a sum of…

Machine Learning · Statistics 2024-02-27 Jiaxin Shi , Michalis K. Titsias , Andriy Mnih

The convolutional neural network (CNN), which is one of the deep learning models, has seen much success in a variety of computer vision tasks. However, designing CNN architectures still requires expert knowledge and a lot of trial and…

Neural and Evolutionary Computing · Computer Science 2017-08-14 Masanori Suganuma , Shinichi Shirakawa , Tomoharu Nagao

Recent research has shown the potential utility of Deep Gaussian Processes. These deep structures are probability distributions, designed through hierarchical construction, which are conditionally Gaussian. In this paper, the current…

Statistics Theory · Mathematics 2018-08-20 Matthew M. Dunlop , Mark A. Girolami , Andrew M. Stuart , Aretha L. Teckentrup

In this work we propose a structured prediction technique that combines the virtues of Gaussian Conditional Random Fields (G-CRF) with Deep Learning: (a) our structured prediction task has a unique global optimum that is obtained exactly…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Siddhartha Chandra , Iasonas Kokkinos

Gaussian Processes (GPs) are powerful non-parametric Bayesian regression models that allow exact posterior inference, but exhibit high computational and memory costs. In order to improve scalability of GPs, approximate posterior inference…

Machine Learning · Computer Science 2020-04-28 Martin Trapp , Robert Peharz , Franz Pernkopf , Carl E. Rasmussen

A deep generative model is developed for representation and analysis of images, based on a hierarchical convolutional dictionary-learning framework. Stochastic {\em unpooling} is employed to link consecutive layers in the model, yielding…

Computer Vision and Pattern Recognition · Computer Science 2015-12-25 Yunchen Pu , Xin Yuan , Andrew Stevens , Chunyuan Li , Lawrence Carin

Recognizing objects in natural images is an intricate problem involving multiple conflicting objectives. Deep convolutional neural networks, trained on large datasets, achieve convincing results and are currently the state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-10-09 Lars Hertel , Erhardt Barth , Thomas Käster , Thomas Martinetz

A generative Bayesian model is developed for deep (multi-layer) convolutional dictionary learning. A novel probabilistic pooling operation is integrated into the deep model, yielding efficient bottom-up and top-down probabilistic learning.…

Machine Learning · Statistics 2015-02-24 Yunchen Pu , Xin Yuan , Lawrence Carin

This paper introduces deep Gaussian processes (DGPs) for geophysical parameter retrieval. Unlike the standard full GP model, the DGP accounts for complicated (modular, hierarchical) processes, provides an efficient solution that scales well…

We propose a local modelling approach using deep convolutional neural networks (CNNs) for fine-grained image classification. Recently, deep CNNs trained from large datasets have considerably improved the performance of object recognition.…

Computer Vision and Pattern Recognition · Computer Science 2015-03-02 ZongYuan Ge , Chris McCool , Conrad Sanderson , Peter Corke
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