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Bayesian inference for neural networks, or Bayesian deep learning, has the potential to provide well-calibrated predictions with quantified uncertainty and robustness. However, the main hurdle for Bayesian deep learning is its computational…

Machine Learning · Statistics 2023-09-07 Sanket Jantre , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

The release of large datasets and developments in AI have led to dramatic improvements in decoding methods that reconstruct seen images from human brain activity. We evaluate the prospect of further improving recent decoding methods by…

Neurons and Cognition · Quantitative Biology 2023-12-14 Reese Kneeland , Jordyn Ojeda , Ghislain St-Yves , Thomas Naselaris

In this article, we propose an adapted sequential Monte Carlo approximate Bayesian computation (SMC-ABC) algorithm for network inference in coupled stochastic differential equations (SDEs) used for multivariate time series modeling. Our…

Methodology · Statistics 2025-08-27 Susanne Ditlevsen , Massimiliano Tamborrino , Irene Tubikanec

High-resolution functional imaging is providing increasingly rich measurements of brain activity in animals and humans. A major challenge is to leverage such data to gain insight into the brain's computational mechanisms. The first step is…

Neurons and Cognition · Quantitative Biology 2016-08-09 Nikolaus Kriegeskorte , Jörn Diedrichsen

Advances in embedded systems have enabled integration of many lightweight sensory devices within our daily life. In particular, this trend has given rise to continuous expansion of wearable sensors in a broad range of applications from…

Machine Learning · Computer Science 2019-07-09 Mahdi Pedram , Seyed Ali Rokni , Marjan Nourollahi , Houman Homayoun , Hassan Ghasemzadeh

In the past five years, the use of generative and foundational AI systems has greatly improved the decoding of brain activity. Visual perception, in particular, can now be decoded from functional Magnetic Resonance Imaging (fMRI) with…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Yohann Benchetrit , Hubert Banville , Jean-Rémi King

Electroencephalography (EEG) source imaging aims to infer brain activity from electrical potentials measured on the scalp. This is a difficult problem because many different source patterns can explain the same measurements. The result…

Numerical Analysis · Mathematics 2026-04-29 Santtu Söderholm , Joonas Lahtinen , Sampsa Pursiainen

Modern neural recording techniques allow neuroscientists to obtain spiking activity of multiple neurons from different brain regions over long time periods, which requires new statistical methods to be developed for understanding structure…

Applications · Statistics 2023-12-29 Ganchao Wei

Objective: Brain networks have gained increasing recognition as potential biomarkers in mental health studies, but there are limited approaches that can leverage complex brain networks for accurate classification. Our goal is to develop a…

Methodology · Statistics 2022-05-25 Jin Ming , Suprateek Kundu

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

Recent advances in meta-optics have enabled diverse functionalities in compact optical devices; however, conventional forward design approaches become inadequate as device complexity and scale grow. Inverse design offers a powerful…

Neural Bayes estimators are neural networks that approximate Bayes estimators in a fast and likelihood-free manner. Although they are appealing to use with spatial models, where estimation is often a computational bottleneck, neural Bayes…

Methodology · Statistics 2025-01-14 Matthew Sainsbury-Dale , Andrew Zammit-Mangion , Jordan Richards , Raphaël Huser

The level set approach has proven widely successful in the study of inverse problems for interfaces, since its systematic development in the 1990s. Recently it has been employed in the context of Bayesian inversion, allowing for the…

Probability · Mathematics 2016-09-13 Matthew M. Dunlop , Marco A. Iglesias , Andrew M. Stuart

The ever-growing popularity and rapid improving of artificial intelligence (AI) have raised rethinking on the evolution of wireless networks. Mobile edge computing (MEC) provides a natural platform for AI applications since it is with rich…

Information Theory · Computer Science 2020-12-29 Shanfeng Huang , Shuai Wang , Rui Wang , Miaowen Wen , Kaibin Huang

Bayesian Neural Networks (BayNNs) naturally provide uncertainty in their predictions, making them a suitable choice in safety-critical applications. Additionally, their realization using memristor-based in-memory computing (IMC)…

Machine Learning · Computer Science 2024-01-24 Soyed Tuhin Ahmed , Kamal Danouchi , Guillaume Prenat , Lorena Anghel , Mehdi B. Tahoori

Bayesian inference in deep neural networks is challenging due to the high-dimensional, strongly multi-modal parameter posterior density landscape. Markov chain Monte Carlo approaches asymptotically recover the true posterior but are…

A core goal of functional neuroimaging is to study how the environment is processed in the brain. The mainstream paradigm involves concurrently measuring a broad spectrum of brain responses to a small set of environmental features…

Neurons and Cognition · Quantitative Biology 2021-06-14 Pedro F. da Costa , Rianne Haartsen , Elena Throm , Luke Mason , Anna Gui , Robert Leech , Emily J. H. Jones

Electroencephalography (EEG) source imaging aims to reconstruct the spatial distribution of neural activity within the brain from non-invasive scalp measurements. This inverse problem is severely ill-posed due to the low spatial resolution…

Numerical Analysis · Mathematics 2026-04-08 Joonas Lahtinen , Alexandra Koulouri

One of the main challenges in electroencephalogram (EEG) based brain-computer interface (BCI) systems is learning the subject/session invariant features to classify cognitive activities within an end-to-end discriminative setting. We…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Andac Demir , Iya Khalil , Bulent Kiziltan

In recent years, multiple noninvasive imaging modalities have been used to develop a better understanding of the human brain functionality, including positron emission tomography, single-photon emission computed tomography, and functional…

Signal Processing · Electrical Eng. & Systems 2019-10-18 Shiva Asadzadeh , Tohid Yousefi Rezaii , Soosan Beheshti , Azra Delpak , Saeed Meshgini