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Experiments that study neural encoding of stimuli at the level of individual neurons typically choose a small set of features present in the world --- contrast and luminance for vision, pitch and intensity for sound --- and assemble a…

Machine Learning · Statistics 2016-11-22 Xin , Chen , Jeffrey M Beck , John M Pearson

We introduce the BREASE framework for the Bayesian analysis of randomized controlled trials with a binary treatment and a binary outcome. Approaching the problem from a causal inference perspective, we propose parameterizing the likelihood…

Methodology · Statistics 2024-11-26 Nicholas J. Irons , Carlos Cinelli

We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

Methodology · Statistics 2012-07-02 Ricardo Silva , Zoubin Ghahramani

Sparse autoencoders (SAEs) have been used widely to decompose and interpret neural network activations, especially those of transformer language models. One key issue with SAEs is their inability to directly model multidimensional features.…

Machine Learning · Computer Science 2026-05-12 Collin Francel

We develop a Bayesian approach for selecting the model which is the most supported by the data within a class of marginal models for categorical variables formulated through equality and/or inequality constraints on generalised logits…

Statistics Theory · Mathematics 2012-02-21 Francesco Bartolucci , Luisa Scaccia , Alessio Farcomeni

The problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

Applications · Statistics 2018-05-15 Longhai Li , Weixin Yao

Bayesian adaptive experimental design is a form of active learning, which chooses samples to maximize the information they give about uncertain parameters. Prior work has shown that other forms of active learning can suffer from active…

Recent advancements in Markov chain Monte Carlo (MCMC) sampling and surrogate modelling have significantly enhanced the feasibility of Bayesian analysis across engineering fields. However, the selection and integration of surrogate models…

Computational Physics · Physics 2024-11-22 Leon Riccius , Iuri B. C. M. Rocha , Joris Bierkens , Hanne Kekkonen , Frans P. van der Meer

Predictive coding (PC) is an influential theory of information processing in the brain, providing a biologically plausible alternative to backpropagation. It is motivated in terms of Bayesian inference, as hidden states and parameters are…

Exploiting the rapid advances in probabilistic inference, in particular variational Bayes and variational autoencoders (VAEs), for anomaly detection (AD) tasks remains an open research question. Previous works argued that training VAE…

Machine Learning · Computer Science 2020-10-13 Adrian Alan Pol , Victor Berger , Gianluca Cerminara , Cecile Germain , Maurizio Pierini

In computational mechanics, multiple models are often present to describe a physical system. While Bayesian model selection is a helpful tool to compare these models using measurement data, it requires the computationally expensive…

Computation · Statistics 2025-04-14 Subhayan De , Reza Farzad , Patrick T. Brewick , Erik A. Johnson , Steven F. Wojtkiewicz

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

Instrumentation and Methods for Astrophysics · Physics 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

To unbiasedly estimate a causal effect on an outcome unconfoundedness is often assumed. If there is sufficient knowledge on the underlying causal structure then existing confounder selection criteria can be used to select subsets of the…

Methodology · Statistics 2017-03-20 Jenny Häggström

X-ray absorption spectroscopy (XAS) is a well-established method for in-depth characterization of the electronic structure due to its sensitivity to the local coordination and electronic states of the active ions. In practice hundreds of…

Materials Science · Physics 2023-02-02 Yixuan Zhang , Ruiwen Xie , Teng Long , Damian Günzing , Heiko Wende , Katharina J. Ollefs , Hongbin Zhang

Occupancy models are typically used to determine the probability of a species being present at a given site while accounting for imperfect detection. The survey data underlying these models often include information on several predictors…

Methodology · Statistics 2016-05-09 Daniel Taylor-Rodriguez , Andrew Womack , Claudio Fuentes , Nikolay Bliznyuk

Bayesian methods - either based on Bayes Factors or BIC - are now widely used for model selection. One property that might reasonably be demanded of any model selection method is that if a model ${M}_{1}$ is preferred to a model ${M}_{0}$,…

Methodology · Statistics 2012-08-20 Piotr Zwiernik , Jim Q. Smith

There have been several studies of the genome-wide temporal transcriptional program of viruses, based on microarray experiments, which are generally useful in the construction of gene regulation network. It seems that biological…

We have previously presented the idea of how complex multimodal information could be represented in our brains in a compressed form, following mechanisms similar to those employed in machine learning tools, like autoencoders. In this short…

Neurons and Cognition · Quantitative Biology 2024-06-17 Jesus Marco de Lucas , Maria Peña Fernandez , Lara Lloret Iglesias

Because of their multimodality, mixture posterior distributions are difficult to sample with standard Markov chain Monte Carlo (MCMC) methods. We propose a strategy to enhance the sampling of MCMC in this context, using a biasing procedure…

Computation · Statistics 2011-04-19 Nicolas Chopin , Tony Lelievre , Gabriel Stoltz

We propose a Model-Based Clustering (MBC) method combined with loci selection using multi-allelic loci genetic data. The loci selection problem is regarded as a model selection problem and models in competition are compared with the…

Applications · Statistics 2008-12-31 Wilson Toussile , Elisabeth Gassiat
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