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Motivated by recent work on studying massive imaging data in various neuroimaging studies, we propose a novel spatially varying coefficient model (SVCM) to spatially model the varying association between imaging measures in a…

Methodology · Statistics 2014-12-01 Hongtu Zhu , Jianqing Fan , Linglong Kong

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

Whole slide images, with their gigapixel-scale panoramas of tissue samples, are pivotal for precise disease diagnosis. However, their analysis is hindered by immense data size and scarce annotations. Existing MIL methods face challenges due…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Weiyi Wu , Xinwen Xu , Chongyang Gao , Xingjian Diao , Siting Li , Jiang Gui

Even though convolutional neural networks (CNNs) are driving progress in medical image segmentation, standard models still have some drawbacks. First, the use of multi-scale approaches, i.e., encoder-decoder architectures, leads to a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ashish Sinha , Jose Dolz

Markov random fields are used to model high dimensional distributions in a number of applied areas. Much recent interest has been devoted to the reconstruction of the dependency structure from independent samples from the Markov random…

Computational Complexity · Computer Science 2010-03-09 Guy Bresler , Elchanan Mossel , Allan Sly

This paper presents a new Bayesian estimation technique for hidden Potts-Markov random fields with unknown regularisation parameters, with application to fast unsupervised K-class image segmentation. The technique is derived by first…

Computation · Statistics 2016-02-03 Marcelo Pereyra , Steve McLaughlin

We introduce a probabilistic generative model for disentangling spatio-temporal disease trajectories from series of high-dimensional brain images. The model is based on spatio-temporal matrix factorization, where inference on the sources is…

Machine Learning · Statistics 2019-10-11 Clement Abi Nader , Nicholas Ayache , Philippe Robert , Marco Lorenzi

A stochastic incremental subgradient algorithm for the minimization of a sum of convex functions is introduced. The method sequentially uses partial subgradient information and the sequence of partial subgradients is determined by a general…

Optimization and Control · Mathematics 2021-08-24 Rafael Massambone , Eduardo F. Costa , Elias S. Helou

This work introduces structure preserving hierarchical decompositions for sampling Gaussian random fields (GRF) within the context of multilevel Bayesian inference in high-dimensional space. Existing scalable hierarchical sampling methods,…

Numerical Analysis · Mathematics 2025-03-19 Sohail Reddy

Visual place recognition is an important subproblem of mobile robot localization. Since it is a special case of image retrieval, the basic source of information is the pairwise similarity of image descriptors. However, the embedding of the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Stefan Schubert , Peer Neubert , Peter Protzel

Identifying the Markov properties or conditional independencies of a collection of random variables is a fundamental task in statistics for modeling and inference. Existing approaches often learn the structure of a probabilistic graphical…

Machine Learning · Computer Science 2025-05-23 Sarah Liaw , Rebecca Morrison , Youssef Marzouk , Ricardo Baptista

Normative modeling enables individualized characterization of structural brain deviations by evaluating subjects against a reference population rather than a group average. Most existing implementations treat brain regions independently and…

Methodology · Statistics 2026-05-19 J. T. Korley

Alignment between non-rigid stretchable structures is one of the most challenging tasks in computer vision, as the invariant properties are hard to define, and there is no labeled data for real datasets. We present unsupervised neural…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Idan Pazi , Dvir Ginzburg , Dan Raviv

Gaussian processes (GPs) are important probabilistic tools for inference and learning in spatio-temporal modelling problems such as those in climate science and epidemiology. However, existing GP approximations do not simultaneously support…

Machine Learning · Computer Science 2021-06-21 Will Tebbutt , Arno Solin , Richard E. Turner

Stochastic collocation methods for approximating the solution of partial differential equations with random input data (e.g., coefficients and forcing terms) suffer from the curse of dimensionality whereby increases in the stochastic…

Numerical Analysis · Mathematics 2014-05-23 Aretha L. Teckentrup , Peter Jantsch , Clayton G. Webster , Max Gunzburger

Latent space models (LSMs) are often used to analyze dynamic (time-varying) networks that evolve in continuous time. Existing approaches to Bayesian inference for these models rely on Markov chain Monte Carlo algorithms, which cannot handle…

Methodology · Statistics 2024-01-19 Joshua Daniel Loyal

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

The log-Gaussian Cox process is a flexible and popular class of point pattern models for capturing spatial and space-time dependence for point patterns. Model fitting requires approximation of stochastic integrals which is implemented…

Computation · Statistics 2018-10-24 Shinichiro Shirota , Sudipto Banerjee

To date, the comparison of Statistical Shape Models (SSMs) is often solely performance-based, carried out by means of simplistic metrics such as compactness, generalization, or specificity. Any similarities or differences between the actual…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Maximilian Weiherer , Finn Klein , Bernhard Egger

We introduce a flexible framework for modeling dependent feature allocations. Our approach addresses limitations in traditional nonparametric methods by directly modeling the logit-probability surface of the feature paintbox, enabling the…

Methodology · Statistics 2025-12-22 Bernardo Flores , Yang Ni , Yanxun Xu , Peter Müller