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The standard approach to analyzing brain electrical activity is to examine the spectral density function (SDF) and identify predefined frequency bands that have the most substantial relative contributions to the overall variance of the…

Aims. To develop a fully Bayesian least squares deconvolution (LSD) that can be applied to the reliable detection of magnetic signals in noise-limited stellar spectropolarimetric observations using multiline techniques. Methods. We consider…

Solar and Stellar Astrophysics · Physics 2015-11-04 A. Asensio Ramos , P. Petit

One of the goals of neuroscience is to study interactions between different brain regions during rest and while performing specific cognitive tasks. The Multivariate Bayesian Autoregressive Decomposition (MBMARD) is proposed as an intuitive…

Methodology · Statistics 2023-05-16 Guillermo Granados-Garcia , Raquel Prado , Hernando Ombao

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

Decoding brain imaging data are gaining popularity, with applications in brain-computer interfaces and the study of neural representations. Decoding is typicallysubject-specific and does not generalise well over subjects, due to high…

Machine Learning · Computer Science 2024-01-22 Richard Csaky , Mats Van Es , Oiwi Parker Jones , Mark Woolrich

Objective: Brain networks have gained increasing recognition as potential biomarkers in mental health studies, but there are limited approaches that can leverage complex brain networks for accurate classification. Our goal is to develop a…

Methodology · Statistics 2022-05-25 Jin Ming , Suprateek Kundu

Bayesian nonparametric space partition (BNSP) models provide a variety of strategies for partitioning a $D$-dimensional space into a set of blocks. In this way, the data points lie in the same block would share certain kinds of homogeneity.…

Machine Learning · Statistics 2021-03-02 Xuhui Fan , Bin Li , Ling Luo , Scott A. Sisson

Bayesian method is capable of capturing real world uncertainties/incompleteness and properly addressing the over-fitting issue faced by deep neural networks. In recent years, Bayesian Neural Networks (BNNs) have drawn tremendous attentions…

Machine Learning · Computer Science 2020-05-11 Xiaotao Jia , Jianlei Yang , Runze Liu , Xueyan Wang , Sorin Dan Cotofana , Weisheng Zhao

Forecasting multiscale chaotic dynamical systems, such as turbulent flows, with deep learning remains a formidable challenge due to the spectral bias of neural networks, which hinders the accurate representation of fine-scale structures in…

Machine Learning · Computer Science 2026-03-31 Dibyajyoti Chakraborty , Arvind T. Mohan , Romit Maulik

Matrix decomposition is a popular and fundamental approach in machine learning and data mining. It has been successfully applied into various fields. Most matrix decomposition methods focus on decomposing a data matrix from one single…

Computer Vision and Pattern Recognition · Computer Science 2017-12-12 Chihao Zhang , Shihua Zhang

We release NSD-Imagery, a benchmark dataset of human fMRI activity paired with mental images, to complement the existing Natural Scenes Dataset (NSD), a large-scale dataset of fMRI activity paired with seen images that enabled unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Reese Kneeland , Paul S. Scotti , Ghislain St-Yves , Jesse Breedlove , Kendrick Kay , Thomas Naselaris

Scientific machine learning increasingly uses spectral methods to understand physical systems. Current spectral learning approaches provide only point estimates without uncertainty quantification, limiting their use in safety-critical…

Machine Learning · Computer Science 2025-09-17 Mohammad Nooraiepour

Neural sequence models are widely used to model time-series data. Equally ubiquitous is the usage of beam search (BS) as an approximate inference algorithm to decode output sequences from these models. BS explores the search space in a…

Artificial Intelligence · Computer Science 2018-10-23 Ashwin K Vijayakumar , Michael Cogswell , Ramprasath R. Selvaraju , Qing Sun , Stefan Lee , David Crandall , Dhruv Batra

Understanding how external stimuli are encoded in distributed neural activity is of significant interest in clinical and basic neuroscience. To address this need, it is essential to develop analytical tools capable of handling limited data…

Machine Learning · Computer Science 2024-09-11 Navid Ziaei , Reza Saadatifard , Ali Yousefi , Behzad Nazari , Sydney S. Cash , Angelique C. Paulk

Recent applications of pattern recognition techniques on brain connectome classification using functional connectivity (FC) are shifting towards acknowledging the non-Euclidean topology and dynamic aspects of brain connectivity across time.…

Machine Learning · Computer Science 2024-11-12 Sin-Yee Yap , Junn Yong Loo , Chee-Ming Ting , Fuad Noman , Raphael C. -W. Phan , Adeel Razi , David L. Dowe

It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the…

Neurons and Cognition · Quantitative Biology 2024-11-01 Hina Shaheen , Roderick Melnik

Autism Spectrum Disorder (ASD) is a neuro-developmental syndrome resulting from alterations in the embryological brain before birth. This disorder distinguishes its patients by special socially restricted and repetitive behavior in addition…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Hala Shamseddine , Safa Otoum , Azzam Mourad

This work presents a novel method of exploring human brain-visual representations, with a view towards replicating these processes in machines. The core idea is to learn plausible computational and biological representations by correlating…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Simone Palazzo , Concetto Spampinato , Isaak Kavasidis , Daniela Giordano , Joseph Schmidt , Mubarak Shah

Spectral deconvolution is essential for extracting peak structures that encode material properties and chemical structures, but conventional automated methods often fail when spectra contain high-intensity noise or unknown background…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Hayato Okubo , Yoshifumi Amamoto , Toshimitsu Aritake , Hiroyuki Kumazoe , Shiryu Nakano , Evan Jamison , Satoshi Tanaka , Yoh-ichi Mototake

A representation of the cause-effect mechanism is needed to enable artificial intelligence to represent how the world works. Bayesian Networks (BNs) have proven to be an effective and versatile tool for this task. BNs require constructing a…

Artificial Intelligence · Computer Science 2026-03-18 Joverlyn Gaudillo , Nicole Astrologo , Fabio Stella , Enzo Acerbi , Francesco Canonaco
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