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Hierarchical Bayesian methods enable information sharing across multiple related regression problems. While standard practice is to model regression parameters (effects) as (1) exchangeable across datasets and (2) correlated to differing…

Methodology · Statistics 2021-07-15 Brian L. Trippe , Hilary K. Finucane , Tamara Broderick

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

Event-related potentials (ERP) are measurements of brain activity with wide applications in basic and clinical neuroscience, that are typically estimated using the average of many trials of electroencephalography signals (EEG) to…

Machine Learning · Computer Science 2025-12-01 Anders Vestergaard Nørskov , Kasper Jørgensen , Alexander Neergaard Zahid , Morten Mørup

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

Applications · Statistics 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

In this paper, we employ variational arguments to establish a connection between ensemble methods for Neural Networks and Bayesian inference. We consider an ensemble-based scheme where each model/particle corresponds to a perturbation of…

Machine Learning · Computer Science 2020-06-09 Dimitrios Milios , Pietro Michiardi , Maurizio Filippone

Relational event network data are becoming increasingly available. Consequently, statistical models for such data have also surfaced. These models mainly focus on the analysis of single networks, while in many applications, multiple…

Methodology · Statistics 2023-06-08 Fabio Vieira , Roger Leenders , Daniel McFarland , Joris Mulder

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

Bayesian neural networks with latent variables are scalable and flexible probabilistic models: They account for uncertainty in the estimation of the network weights and, by making use of latent variables, can capture complex noise patterns…

Machine Learning · Statistics 2018-06-19 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

Words of estimative probability (WEP) are expressions of a statement's plausibility (probably, maybe, likely, doubt, likely, unlikely, impossible...). Multiple surveys demonstrate the agreement of human evaluators when assigning numerical…

Computation and Language · Computer Science 2023-06-27 Damien Sileo , Marie-Francine Moens

Experiments in research on memory, language, and in other areas of cognitive science are increasingly being analyzed using Bayesian methods. This has been facilitated by the development of probabilistic programming languages such as Stan,…

Methodology · Statistics 2020-03-02 Daniel J. Schad , Michael Betancourt , Shravan Vasishth

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

Machine Learning · Computer Science 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

Supervised masking approaches in the time-frequency domain aim to employ deep neural networks to estimate a multiplicative mask to extract clean speech. This leads to a single estimate for each input without any guarantees or measures of…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-16 Huajian Fang , Dennis Becker , Stefan Wermter , Timo Gerkmann

Experiments on decision making under uncertainty are known to display a classical pattern of risk aversion and risk seeking referred to as "fourfold pattern" (or "reflection effect") , but recent experiments varying the speed and order of…

Neurons and Cognition · Quantitative Biology 2024-01-17 Francesco Fumarola , Lukasz Kusmierz , Ronald B. Dekker

Extracting meaning from uncertain, noisy data is a fundamental problem across time series analysis, pattern recognition, and language modeling. This survey presents a unified mathematical framework that connects classical estimation theory,…

Machine Learning · Computer Science 2025-08-22 Mohammed Elmusrati

Surprise-based learning allows agents to rapidly adapt to non-stationary stochastic environments characterized by sudden changes. We show that exact Bayesian inference in a hierarchical model gives rise to a surprise-modulated trade-off…

Machine Learning · Statistics 2020-09-25 Vasiliki Liakoni , Alireza Modirshanechi , Wulfram Gerstner , Johanni Brea

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

Computational Physics · Physics 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu

An Event-Related Potential (ERP)-based Brain-Computer Interface (BCI) Speller System assists people with disabilities to communicate by decoding electroencephalogram (EEG) signals. A P300-ERP embedded in EEG signals arises in response to a…

Applications · Statistics 2026-02-18 Tianwen Ma , Jane E. Huggins , Jian Kang

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty.…

Machine Learning · Statistics 2021-01-07 Hao Wang , Dit-Yan Yeung

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

We consider a dictionary learning problem whose objective is to design a dictionary such that the signals admits a sparse or an approximate sparse representation over the learned dictionary. Such a problem finds a variety of applications…

Machine Learning · Computer Science 2015-03-10 Linxiao Yang , Jun Fang , Hong Cheng , Hongbin Li