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Consider a multinomial regression model where the response, which indicates a unit's membership in one of several possible unordered classes, is associated with a set of predictor variables. Such models typically involve a matrix of…

Applications · Statistics 2009-01-28 Paul Gustafson , Geneviève Lefebvre

Brain connectivity analysis is crucial for understanding brain structure and neurological function, shedding light on the mechanisms of mental illness. To study the association between individual brain connectivity networks and the clinical…

Cognitive diagnostic assessment aims to measure specific knowledge structures in students. To model data arising from such assessments, cognitive diagnostic models with discrete latent variables have gained popularity in educational and…

Methodology · Statistics 2023-08-25 Seunghyun Lee , Yuqi Gu

Convolutional neural networks (CNNs) work well on large datasets. But labelled data is hard to collect, and in some applications larger amounts of data are not available. The problem then is how to use CNNs with small data -- as CNNs…

Machine Learning · Statistics 2016-01-19 Yarin Gal , Zoubin Ghahramani

The increasing availability of multiple network data has highlighted the need for statistical models for heterogeneous populations of networks. A convenient framework makes use of metrics to measure similarity between networks. In this…

Methodology · Statistics 2026-03-09 Francesco Barile , Simón Lunagómez , Bernardo Nipoti

Bayesian network classifiers provide a feasible solution to tabular data classification, with a number of merits like high time and memory efficiency, and great explainability. However, due to the parameter explosion and data sparsity…

Machine Learning · Computer Science 2025-08-18 Huan Zhang , Daokun Zhang , Kexin Meng , Geoffrey I. Webb

In this paper, we develop an analytical approach for estimating brain connectivity networks that accounts for subject heterogeneity. More specifically, we consider a novel extension of a multi-subject Bayesian vector autoregressive model…

In this study, we propose a neural network approach to capture the functional connectivities among anatomic brain regions. The suggested approach estimates a set of brain networks, each of which represents the connectivity patterns of a…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Baran Baris Kivilcim , Itir Onal Ertugrul , Fatos T. Yarman Vural

Traditional approaches to Bayes net structure learning typically assume little regularity in graph structure other than sparseness. However, in many cases, we expect more systematicity: variables in real-world systems often group into…

Machine Learning · Computer Science 2012-07-02 Vikash Mansinghka , Charles Kemp , Thomas Griffiths , Joshua Tenenbaum

We study possible relations between the structure of the connectome, white matter connecting different regions of brain, and Alzheimer disease. Regression models in covariates including age, gender and disease status for the extent of white…

Methodology · Statistics 2021-04-22 Arkaprava Roy , Subhashis Ghosal , Jeffrey Prescott , Kingshuk Roy Choudhury

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

One of the central objectives of contemporary neuroimaging research is to create predictive models that can disentangle the connection between patterns of functional connectivity across the entire brain and various behavioral traits.…

Despite the remarkable empirical performance of Transformers, their theoretical understanding remains elusive. Here, we consider a deep multi-head self-attention network, that is closely related to Transformers yet analytically tractable.…

Machine Learning · Computer Science 2024-12-10 Lorenzo Tiberi , Francesca Mignacco , Kazuki Irie , Haim Sompolinsky

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

Methodology · Statistics 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li

Bayesian models of cognition hypothesize that human brains make sense of data by representing probability distributions and applying Bayes' rule to find the best explanation for available data. Understanding the neural mechanisms underlying…

Neural and Evolutionary Computing · Computer Science 2021-07-02 Milad Kharratzadeh , Thomas R. Shultz

Decrypting intelligence from the human brain construct is vital in the detection of particular neurological disorders. Recently, functional brain connectomes have been used successfully to predict behavioral scores. However,…

Neurons and Cognition · Quantitative Biology 2022-09-28 Imen Jegham , Islem Rekik

In data sets with many predictors, algorithms for identifying a good subset of predictors are often used. Most such algorithms do not account for any relationships between predictors. For example, stepwise regression might select a model…

bayes-an · Physics 2008-02-03 Hugh Chipman

In cognitive radio (CR) technology, the trend of sensing is no longer to only detect the presence of active primary users. A large number of applications demand for more comprehensive knowledge on primary user behaviors in spatial,…

Machine Learning · Computer Science 2015-02-10 Weijia Han , Huiyan Sang , Min Sheng , Jiandong Li , Shuguang Cui

Graphical models or networks describe the statistical dependence among multiple variables and are widely used in biology (e.g., gene regulatory networks). Under appropriate assumptions, directed edges may represent causal relationships. A…

Methodology · Statistics 2023-11-29 Evan A Martin , Audrey Qiuyan Fu

Analyzing the relation between intelligence and neural activity is of the utmost importance in understanding the working principles of the human brain in health and disease. In existing literature, functional brain connectomes have been…

Machine Learning · Computer Science 2022-05-27 Martin Hanik , Mehmet Arif Demirtaş , Mohammed Amine Gharsallaoui , Islem Rekik