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Simulation-based inference (SBI) is rapidly establishing itself as a standard machine learning technique for analyzing data in cosmological surveys. Despite continual improvements to the quality of density estimation by learned models,…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-03 Pablo Lemos , Miles Cranmer , Muntazir Abidi , ChangHoon Hahn , Michael Eickenberg , Elena Massara , David Yallup , Shirley Ho

In fMRI, capturing brain activation during a task is dependent on how quickly k-space arrays are obtained. Acquiring full k-space arrays, which are reconstructed into images using the inverse Fourier transform (IFT), that make up volume…

Applications · Statistics 2024-05-27 Chase J Sakitis , Daniel B Rowe

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Machine Learning · Statistics 2024-04-08 Andrew Zammit-Mangion , Michael D. Kaminski , Ba-Hien Tran , Maurizio Filippone , Noel Cressie

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

Machine Learning · Statistics 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

The rapid growth of earth observation systems calls for a scalable approach to interpolate remote-sensing observations. These methods in principle, should acquire more information about the observed field as data grows. Gaussian processes…

Machine Learning · Computer Science 2024-12-17 Weibin Chen , Azhir Mahmood , Michel Tsamados , So Takao

We describe a diffeomorphic registration algorithm that allows groups of images to be accurately aligned to a common space, which we intend to incorporate into the SPM software. The idea is to perform inference in a probabilistic graphical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mikael Brudfors , Yaël Balbastre , Guillaume Flandin , Parashkev Nachev , John Ashburner

The aim of this paper is to develop a class of spatial transformation models (STM) to spatially model the varying association between imaging measures in a three-dimensional (3D) volume (or 2D surface) and a set of covariates. Our STMs…

Applications · Statistics 2016-07-27 Michelle F. Miranda , Hongtu Zhu , Joseph G. Ibrahim

Due to the cross-domain distribution shift aroused from diverse medical imaging systems, many deep learning segmentation methods fail to perform well on unseen data, which limits their real-world applicability. Recent works have shown the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

We consider the joint inference of regression coefficients and the inverse covariance matrix for covariates in high-dimensional probit regression, where the predictors are both relevant to the binary response and functionally related to one…

Methodology · Statistics 2022-03-15 Xuan Cao , Kyoungjae Lee

Functional magnetic resonance imaging (fMRI) is a powerful tool for investigating human brain function. However, the high cost of data acquisition and the inherent subjectivity of psychiatric rating scales often lead to datasets with small…

Machine Learning · Computer Science 2026-05-29 Jiyao Wang , Peiyu Duan , Nicha C. Dvornek , Lawrence H. Staib , Denis Sukhodolsky , Pamela Ventola , James S. Duncan

We introduce a Bayesian non-parametric spatial factor analysis model with spatial dependency induced through a prior on factor loadings. For each column of the loadings matrix, spatial dependency is encoded using a probit stick-breaking…

Methodology · Statistics 2019-11-12 Samuel I. Berchuck , Mark Janko , Felipe A. Medeiros , William Pan , Sayan Mukherjee

One of the fundamental tasks of science is to find explainable relationships between observed phenomena. One approach to this task that has received attention in recent years is based on probabilistic graphical modelling with sparsity…

Machine Learning · Statistics 2014-04-16 Peter Orchard , Felix Agakov , Amos Storkey

Time series analysis of fMRI data is an important area of medical statistics for neuroimaging data. The neuroimaging community has embraced mean-field variational Bayes (VB) approximations, which are implemented in Statistical Parametric…

Computation · Statistics 2018-03-06 Ming Teng , Timothy Johnson , Farouk Nathoo

Simulation-based inference (SBI) is emerging as a new statistical paradigm for addressing complex scientific inference problems. By leveraging the representational power of deep neural networks, SBI can extract the most informative…

Instrumentation and Methods for Astrophysics · Physics 2025-10-17 Huifang Lyu , James Alvey , Noemi Anau Montel , Mauro Pieroni , Christoph Weniger

Attention-based methods have demonstrated exceptional performance in modelling long-range dependencies on spherical cortical surfaces, surpassing traditional Geometric Deep Learning (GDL) models. However, their extensive inference time and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Rongzhao He , Weihao Zheng , Leilei Zhao , Ying Wang , Dalin Zhu , Dan Wu , Bin Hu

Neural Processes (NPs) are a rapidly evolving class of models designed to directly model the posterior predictive distribution of stochastic processes. While early architectures were developed primarily as a scalable alternative to Gaussian…

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

Machine Learning · Statistics 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

We present a scalable approach to performing approximate fully Bayesian inference in generic state space models. The proposed method is an alternative to particle MCMC that provides fully Bayesian inference of both the dynamic latent states…

Machine Learning · Statistics 2019-02-13 Marcel Hirt , Petros Dellaportas

Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg