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Multivariate machine learning methods are increasingly used to analyze neuroimaging data, often replacing more traditional "mass univariate" techniques that fit data one voxel at a time. In the functional magnetic resonance imaging (fMRI)…

Applications · Statistics 2015-03-19 Logan Grosenick , Brad Klingenberg , Kiefer Katovich , Brian Knutson , Jonathan E. Taylor

Gaussian processes have become a popular tool for nonparametric regression because of their flexibility and uncertainty quantification. However, they often use stationary kernels, which limit the expressiveness of the model and may be…

Machine Learning · Computer Science 2025-07-17 Zachary James , Joseph Guinness

In this paper, we introduce a new Bayesian approach for analyzing task fMRI data that simultaneously detects activation signatures and background connectivity. Our modeling involves a new hybrid tensor spatial-temporal basis strategy that…

Applications · Statistics 2023-12-04 Michelle F. Miranda , Jeffrey S. Morris

In this paper, we develop an efficient nonparametric Bayesian estimation of the kernel function of Hawkes processes. The non-parametric Bayesian approach is important because it provides flexible Hawkes kernels and quantifies their…

Machine Learning · Computer Science 2022-04-14 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu , Lexing Xie

Neural population responses in sensory systems are driven by external physical stimuli. This stimulus-response relationship is typically characterized by receptive fields, which have been estimated by neural system identification…

Neurons and Cognition · Quantitative Biology 2024-02-08 Nan Wu , Isabel Valera , Fabian Sinz , Alexander Ecker , Thomas Euler , Yongrong Qiu

We propose a flexible yet interpretable model for high-dimensional data with time-varying second order statistics, motivated and applied to functional neuroimaging data. Motivated by the neuroscience literature, we factorize the covariances…

Machine Learning · Statistics 2021-07-20 Katherine Tsai , Mladen Kolar , Oluwasanmi Koyejo

We present a functional data analysis approach for studying time-dependent, continuous glucose monitoring data with repeated measures for each individual in an experiment. After scaling the glucose concentration curves to the interval [0,…

Methodology · Statistics 2025-11-04 Nihan Acar-Denizli , Pedro Delicado

Recently nonparametric functional model with functional responses has been proposed within the functional reproducing kernel Hilbert spaces (fRKHS) framework. Motivated by its superior performance and also its limitations, we propose a…

Methodology · Statistics 2010-08-11 Heng Lian

When modeling a probability distribution with a Bayesian network, we are faced with the problem of how to handle continuous variables. Most previous work has either solved the problem by discretizing, or assumed that the data are generated…

Machine Learning · Computer Science 2013-02-21 George H. John , Pat Langley

In the recent past, psychological stress has been increasingly observed in humans, and early detection is crucial to prevent health risks. Stress detection using on-device deep learning algorithms has been on the rise owing to advancements…

Machine Learning · Computer Science 2020-12-07 Abhijith Ragav , Gautham Krishna Gudur

We propose a novel Bayesian approach to solve stochastic optimization problems that involve finding extrema of noisy, nonlinear functions. Previous work has focused on representing possible functions explicitly, which leads to a two-step…

Machine Learning · Statistics 2012-11-13 Pedro A. Ortega , Jordi Grau-Moya , Tim Genewein , David Balduzzi , Daniel A. Braun

There are several kinds of non-invasive imaging methods that are used to collect data from the brain, e.g., EEG, MEG, PET, SPECT, fMRI, etc. It is difficult to get resolution of information processing using any one of these methods.…

Computational Engineering, Finance, and Science · Computer Science 2007-07-13 Lester Ingber

In the past five years, the use of generative and foundational AI systems has greatly improved the decoding of brain activity. Visual perception, in particular, can now be decoded from functional Magnetic Resonance Imaging (fMRI) with…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Yohann Benchetrit , Hubert Banville , Jean-Rémi King

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

Methodology · Statistics 2016-08-30 Genya Kobayashi , Kota Ogasawara

Various neuroimaging studies suffer from small sample size problem which often limit their reliability. Meta-analysis addresses this challenge by aggregating findings from different studies to identify consistent patterns of brain activity.…

Machine Learning · Computer Science 2025-11-27 Seunghun Baek , Jaejin Lee , Jaeyoon Sim , Minjae Jeong , Won Hwa Kim

Gaussian processes that can be decomposed into a smooth mean function and a stationary autocorrelated noise process are considered and a fully automatic nonparametric method to simultaneous estimation of mean and auto-covariance functions…

Methodology · Statistics 2021-08-19 Tatyana Krivobokova , Paulo Serra , Francisco Rosales , Karolina Klockmann

Mental imagery refers to percept-like experiences in the absence of sensory input. Brain imaging studies suggest common, modality-specific, neural correlates imagery and perception. We associated abstract visual stimuli with either visually…

Neurons and Cognition · Quantitative Biology 2021-06-15 Krishna Prasad Miyapuram , Wolfram Schultz , Philippe N. Tobler

Likelihood-free approaches are appealing for performing inference on complex dependence models, either because it is not possible to formulate a likelihood function, or its evaluation is very computationally costly. This is the case for…

Methodology · Statistics 2025-12-08 Lídia M. André , Jennifer L. Wadsworth , Raphaël Huser

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

Machine Learning · Computer Science 2026-04-21 Kutomanov Hennadii

This study examines the optimal selections of bandwidth and semi-metric for a functional partial linear model. Our proposed method begins by estimating the unknown error density using a kernel density estimator of residuals, where the…

Methodology · Statistics 2020-11-17 Han Lin Shang