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Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

Machine Learning · Computer Science 2019-08-12 Jonathan Heek , Nal Kalchbrenner

The estimation of Bayesian networks given high-dimensional data, in particular gene expression data, has been the focus of much recent research. Whilst there are several methods available for the estimation of such networks, these typically…

Methodology · Statistics 2011-12-01 Jessica Kasza , Gary Glonek , Patty Solomon

A memory efficient approach to ensembling neural networks is to share most weights among the ensembled models by means of a single reference network. We refer to this strategy as Embedded Ensembling (EE); its particular examples are…

Machine Learning · Statistics 2022-02-25 Maksim Velikanov , Roman Kail , Ivan Anokhin , Roman Vashurin , Maxim Panov , Alexey Zaytsev , Dmitry Yarotsky

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

To improve the statistical power for imaging biomarker detection, we propose a latent variable-based statistical network analysis (LatentSNA) that combines brain functional connectivity with internalizing psychopathology, implementing…

Methodology · Statistics 2023-09-21 Selena Wang , Yunhe Liu , Wanwan Xu , Xinyuan Tian , Yize Zhao

This thesis is dedicated to the statistical analysis of multi-sub ject fMRI data, with the purpose of identifying bain structures involved in certain cognitive or sensori-motor tasks, in a reproducible way across sub jects. To overcome…

Applications · Statistics 2010-05-19 Merlin Keller , Alexis Roche , Marc Lavielle

Owing to their significant advantages in terms of bandwidth, power efficiency, and latency, optical neuromorphic systems have arisen as interesting alternatives to digital electronic devices. Recently, photonic crystal nanolasers with…

Optics · Physics 2025-12-09 Ivan K. Boikov , Alfredo de Rossi , Mihai A. Petrovici

The use of ensembles of neural networks (NNs) for the quantification of predictive uncertainty is widespread. However, the current justification is intuitive rather than analytical. This work proposes one minor modification to the normal…

Machine Learning · Statistics 2018-07-03 Tim Pearce , Nicolas Anastassacos , Mohamed Zaki , Andy Neely

Differential Networks (DNs), tools that encapsulate interactions within intricate systems, are brought under the Bayesian lens in this research. A novel na{\i}ve Bayesian adaptive graphical elastic net (BAE) prior is introduced to estimate…

Methodology · Statistics 2023-06-27 J. Smith , A. Bekker , M. Arashi

Spiking Neural Networks (SNNs) draw inspiration from biological neurons to enable brain-like computation, demonstrating effectiveness in processing temporal information with energy efficiency and biological realism. Most existing SNNs are…

Neural and Evolutionary Computing · Computer Science 2026-03-03 Chengjie Ge , Yufeng Peng , Zihao Li , Qiyu Kang , Xueyang Fu , Xuhao Li , Qixin Zhang , Junhao Ren , Zheng-Jun Zha

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

Saliency prediction can benefit from training that involves scene understanding that may be tangential to the central task; this may include understanding places, spatial layout, objects or involve different datasets and their bias. One can…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Sen Jia , Neil D. B. Bruce

This paper presents a Bayesian approach to learning the connectivity structure of a group of neurons from data on configuration frequencies. A major objective of the research is to provide statistical tools for detecting changes in firing…

Machine Learning · Computer Science 2013-02-18 Kathryn Blackmond Laskey , Laura Martignon

For three decades statistical mechanics has been providing a framework to analyse neural networks. However, the theoretically tractable models, e.g., perceptrons, random features models and kernel machines, or multi-index models and…

Machine Learning · Statistics 2025-06-02 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

The layered structure of deep neural networks hinders the use of numerous analysis tools and thus the development of its interpretability. Inspired by the success of functional brain networks, we propose a novel framework for…

Machine Learning · Computer Science 2022-05-25 Ben Zhang , Zhetong Dong , Junsong Zhang , Hongwei Lin

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

Neurons and Cognition · Quantitative Biology 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

In this paper, a multi-scale approach to spectrum sensing in cognitive cellular networks is proposed. In order to overcome the huge cost incurred in the acquisition of full network state information, a hierarchical scheme is proposed, based…

Information Theory · Computer Science 2017-02-28 Nicolo Michelusi , Matthew Nokleby , Urbashi Mitra , Robert Calderbank

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Bayesian brain theory suggests that the brain employs generative models to understand the external world. The sampling-based perspective posits that the brain infers the posterior distribution through samples of stochastic neuronal…

Artificial Intelligence · Computer Science 2023-10-24 Xingsi Dong , Si Wu