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Cortical pyramidal neurons receive inputs from multiple distinct neural populations and integrate these inputs in separate dendritic compartments. We explore the possibility that cortical microcircuits implement Canonical Correlation…

Neurons and Cognition · Quantitative Biology 2021-03-29 David Lipshutz , Yanis Bahroun , Siavash Golkar , Anirvan M. Sengupta , Dmitri B. Chklovskii

Bayesian networks are a versatile and powerful tool to model complex phenomena and the interplay of their components in a probabilistically principled way. Moving beyond the comparatively simple case of completely observed, static data,…

Methodology · Statistics 2020-11-04 Marco Scutari

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

Artificial Intelligence · Computer Science 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy

Multiple views of data, both naturally acquired (e.g., image and audio) and artificially produced (e.g., via adding different noise to data samples), have proven useful in enhancing representation learning. Natural views are often handled…

Machine Learning · Computer Science 2022-04-12 Qi Lyu , Xiao Fu , Weiran Wang , Songtao Lu

Integrating high-dimensional, heterogeneous data from multi-site cohort studies with complex hierarchical structures poses significant feature selection and prediction challenges. We extend the Bayesian Integrative Analysis and Prediction…

Methodology · Statistics 2025-01-30 Aidan Neher , Apostolos Stamenos , Mark Fiecas , Sandra Safo , Thierry Chekouo

With the increasing availability of various sensor technologies, we now have access to large amounts of multi-block (also called multi-set, multi-relational, or multi-view) data that need to be jointly analyzed to explore their latent…

Computational Engineering, Finance, and Science · Computer Science 2015-09-01 Guoxu Zhou , Qibin Zhao , Yu Zhang , Tülay Adalı , Shengli Xie , Andrzej Cichocki

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

Computation · Statistics 2009-10-19 Paul Fearnhead , Zhen Liu

We present a data analysis pipeline for CMB polarization experiments, running from multi-frequency maps to the power spectra. We focus mainly on component separation and, for the first time, we work out the covariance matrix accounting for…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-14 S. Ricciardi , A. Bonaldi , P. Natoli , G. Polenta , C. Baccigalupi , E. Salerno , K. Kayabol , L. Bedini , G. De Zotti

We propose a scalable semiparametric Bayesian model to capture dependencies among multiple neurons by detecting their co-firing (possibly with some lag time) patterns over time. After discretizing time so there is at most one spike at each…

Applications · Statistics 2015-06-22 Babak Shahbaba , Bo Zhou , Shiwei Lan , Hernando Ombao , David Moorman , Sam Behseta

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

Methodology · Statistics 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

We propose a new cross-correlation method that can recognize independent realizations of the same type of stochastic processes and can be used as a new kind of pattern recognition tool in biometrics, sensing, forensic, security and image…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Jong U. Kim , Laszlo B. Kish

Causal inference in cue combination is to decide whether the cues have a single cause or multiple causes. Although the Bayesian causal inference model explains the problem of causal inference in cue combination successfully, how causal…

Neural and Evolutionary Computing · Computer Science 2015-09-04 Zhaofei Yu , Feng Chen , Jianwu Dong , Qionghai Dai

In this paper we will focus on the potential and on the challenges associated with the development of an integrated brain and spinal cord modelling framework for processing MR neuroimaging data. The aim of the work is to explore how a…

Computer Vision and Pattern Recognition · Computer Science 2017-07-06 Claudia Blaiotta , Patrick Freund , M. Jorge Cardoso , John Ashburner

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

This paper proposes an embedding method for co-occurrence data aimed at visual information exploration. We consider cases where co-occurrence probabilities are measured between pairs of elements from heterogeneous domains. The proposed…

Machine Learning · Computer Science 2025-08-26 Takuro Ishida , Tetsuo Furukawa

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

Applications · Statistics 2020-05-08 Vitor G. C. da Silva , Kelly C. M. Gonçalves , João B. M. Pereira

Image data are increasingly encountered and are of growing importance in many areas of science. Much of these data are quantitative image data, which are characterized by intensities that represent some measurement of interest in the…

Analysis of brain connectivity is important for understanding how information is processed by the brain. We propose a novel Bayesian vector autoregression (VAR) hierarchical model for analyzing brain connectivity in a resting-state fMRI…

Applications · Statistics 2021-12-09 Bertil Wegmann , Anders Lundquist , Anders Eklund , Mattias Villani

Recent studies proposed the use of Total Correlation to describe functional connectivity among brain regions as a multivariate alternative to conventional pair-wise measures such as correlation or mutual information. In this work we build…

Neurons and Cognition · Quantitative Biology 2022-11-28 Qiang Li , Greg Ver Steeg , Shujian Yu , Jesus Malo

We develop correlated random measures, random measures where the atom weights can exhibit a flexible pattern of dependence, and use them to develop powerful hierarchical Bayesian nonparametric models. Hierarchical Bayesian nonparametric…

Machine Learning · Statistics 2016-11-10 Rajesh Ranganath , David Blei
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