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State-of-the-art image-set matching techniques typically implicitly model each image-set with a Gaussian distribution. Here, we propose to go beyond these representations and model image-sets as probability distribution functions (PDFs)…

Computer Vision and Pattern Recognition · Computer Science 2015-08-03 Mehrtash Harandi , Mathieu Salzmann , Mahsa Baktashmotlagh

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

Scalar-on-image regression aims to investigate changes in a scalar response of interest based on high-dimensional imaging data. We propose a novel Bayesian nonparametric scalar-on-image regression model that utilises the spatial coordinates…

Methodology · Statistics 2022-06-23 Mica Teo Shu Xian , Sara Wade

Remote sensing image fusion technology (pan-sharpening) is an important means to improve the information capacity of remote sensing images. Inspired by the efficient arameter space posteriori sampling of Bayesian neural networks, in this…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Junfu Chen , Yue Pan , Yang Chen

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

The deep image prior was recently introduced as a prior for natural images. It represents images as the output of a convolutional network with random inputs. For "inference", gradient descent is performed to adjust network parameters to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Zezhou Cheng , Matheus Gadelha , Subhransu Maji , Daniel Sheldon

The focus of this work is on spatial variable selection for scalar-on-image regression. We propose a new class of Bayesian nonparametric models, soft-thresholded Gaussian processes and develop the efficient posterior computation algorithms.…

Methodology · Statistics 2016-04-13 Jian Kang , Brian J. Reich , Ana-Maria Staicu

Decoding human brain activities via functional magnetic resonance imaging (fMRI) has gained increasing attention in recent years. While encouraging results have been reported in brain states classification tasks, reconstructing the details…

Artificial Intelligence · Computer Science 2017-07-12 Changde Du , Changying Du , Huiguang He

Blind image deblurring is an important yet very challenging problem in low-level vision. Traditional optimization based methods generally formulate this task as a maximum-a-posteriori estimation or variational inference problem, whose…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Hui Wang , Zongsheng Yue , Qian Zhao , Deyu Meng

Delineating the associations between images and a vector of covariates is of central interest in medical imaging studies. To tackle this problem of image response regression, we propose a novel nonparametric approach in the framework of…

Machine Learning · Statistics 2022-03-04 Daiwei Zhang , Lexin Li , Chandra Sripada , Jian Kang

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often…

Machine Learning · Computer Science 2023-10-24 Fabien Casenave , Brian Staber , Xavier Roynard

Recent medical imaging studies have given rise to distinct but inter-related datasets corresponding to multiple experimental tasks or longitudinal visits. Standard scalar-on-image regression models that fit each dataset separately are not…

Methodology · Statistics 2022-01-21 Xin Ma , Suprateek Kundu

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

Machine Learning · Computer Science 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

In this work we perform a meta-analysis of neuroimaging data, consisting of locations of peak activations identified in 162 separate studies on emotion. Neuroimaging meta-analyses are typically performed using kernel-based methods. However,…

Applications · Statistics 2012-06-29 Yu Ryan Yue , Martin A. Lindquist , Ji Meng Loh

We present a novel computational approach for extracting weak signals, whose exact location and width may be unknown, from complex background distributions with an arbitrary functional form. We focus on datasets that can be naturally…

High Energy Physics - Experiment · Physics 2023-03-22 Abhijith Gandrakota , Amitabh Lath , Alexandre V. Morozov , Sindhu Murthy

In recent years, neuroimaging has undergone a paradigm shift, moving away from the traditional brain mapping approach toward developing integrated, multivariate brain models that can predict categories of mental events. However, large…

Applications · Statistics 2022-09-19 Guoqing Wang , Abhirup Datta , Martin A. Lindquist

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

Machine Learning · Computer Science 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Bayesian estimation of Gaussian graphical models has proven to be challenging because the conjugate prior distribution on the Gaussian precision matrix, the G-Wishart distribution, has a doubly intractable partition function. Recent…

Neurons and Cognition · Quantitative Biology 2014-09-10 Max Hinne , Alex Lenkoski , Tom Heskes , Marcel van Gerven

Most brain disorders are very heterogeneous in terms of their underlying biology and developing analysis methods to model such heterogeneity is a major challenge. A promising approach is to use probabilistic regression methods to estimate…

Machine Learning · Statistics 2018-12-03 Seyed Mostafa Kia , Christian F. Beckmann , Andre F. Marquand

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

Applications · Statistics 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast