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In a recent paper [Bardella et al., Entropy 26 (6), 495 (2024)] we introduced a simplified Lattice Field Theory (LFT) framework that allows experimental recordings from major Brain-Computer Interfaces (BCIs) to be interpreted in a simple…

Statistical Mechanics · Physics 2026-04-08 Simone Franchini , Giampiero Bardella

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

Lattices abound in nature - from the crystal structure of minerals to the honey-comb organization of ommatidia in the compound eye of insects. Such regular arrangements provide solutions for optimally dense packings, efficient resource…

Neurons and Cognition · Quantitative Biology 2015-05-12 Alexander Mathis , Martin B. Stemmler , Andreas V. M. Herz

The development of robust and generalisable models for encoding the spatio-temporal dynamics of human brain activity is crucial for advancing neuroscientific discoveries. However, significant individual variation in the organisation of the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Simon Dahan , Logan Z. J. Williams , Yourong Guo , Daniel Rueckert , Emma C. Robinson

The M/EEG inverse problem is ill-posed. Thus additional hypotheses are needed to constrain the solution space. In this work, we consider that brain activity which generates an M/EEG signal is a connected cortical region. We study the case…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Kostiantyn Maksymenko , Maureen Clerc , Théodore Papadopoulo

The emerging brain-inspired computing paradigm known as hyperdimensional computing (HDC) has been proven to provide a lightweight learning framework for various cognitive tasks compared to the widely used deep learning-based approaches.…

Emerging Technologies · Computer Science 2021-06-23 Geethan Karunaratne , Manuel Le Gallo , Michael Hersche , Giovanni Cherubini , Luca Benini , Abu Sebastian , Abbas Rahimi

The spiking activity of the hippocampal place cells plays a key role in producing and sustaining an internalized representation of the ambient space---a cognitive map. These cells do not only exhibit location-specific spiking during…

Neurons and Cognition · Quantitative Biology 2018-11-05 Andrey Babichev , Dmitriy Morozov , Yuri Dabaghian

We propose a quantum-Hamiltonian-learning-based sequential reconstruction framework for dynamic two-dimensional magnetic-field maps using a local likelihood model derived from a nitrogen-vacancy-center spin-1 Hamiltonian. Local measurements…

Quantum Physics · Physics 2026-05-26 Hiroshi Yamauchi , Sophie Colleen Stearn , Samuel Tovey

Comprehending how the brain interacts with the external world through generated neural data is crucial for determining its working mechanism, treating brain diseases, and understanding intelligence. Although many theoretical models have…

Artificial Intelligence · Computer Science 2026-04-24 Jingyi Feng , Chenming Zhang

Modelling the complex spatiotemporal patterns of large-scale brain dynamics is crucial for neuroscience, but traditional methods fail to capture the rich structure in modalities such as magnetoencephalography (MEG). Recent advances in deep…

Machine Learning · Computer Science 2025-10-22 Rukuang Huang , Sungjun Cho , Chetan Gohil , Oiwi Parker Jones , Mark Woolrich

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

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

Neurons and Cognition · Quantitative Biology 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly

Probabilistic inference offers a principled framework for understanding both behaviour and cortical computation. However, two basic and ubiquitous properties of cortical responses seem difficult to reconcile with probabilistic inference:…

Neurons and Cognition · Quantitative Biology 2017-01-03 Laurence Aitchison , Máté Lengyel

We present a theoretical framework for analyzing spatial sampling of fields in three-dimensional space. The framework bridges Shannon's sampling and information theory to Bayesian probabilistic inference and experimental design. Based on…

In regression-based analyses of group-level neuroimage data researchers typically fit a series of marginal general linear models to image outcomes at each spatially-referenced pixel. Spatial regularization of effects of interest is usually…

Methodology · Statistics 2024-09-26 Andrew S. Whiteman , Timothy D. Johnson , Jian Kang

Sequential firing of hippocampal place cells is often attributed to sequential sensory drive along a trajectory, and has also been attributed to planning and other cognitive functions. Here, we propose a mechanistic and parsimonious…

Neurons and Cognition · Quantitative Biology 2026-03-03 Xiao-Xiong Lin , Yuk-Hoi Yiu , Christian Leibold

Cognitive maps play a crucial role in facilitating flexible behaviour by representing spatial and conceptual relationships within an environment. The ability to learn and infer the underlying structure of the environment is crucial for…

Artificial Intelligence · Computer Science 2023-09-20 Daria de Tinguy , Toon Van de Maele , Tim Verbelen , Bart Dhoedt

In many scientific and engineering domains, physical experiments are often costly, non-replicable, or time-consuming. The Kennedy and O'Hagan (KOH) model framework has become a widely used approach for combining simulator runs with limited…

Computation · Statistics 2026-03-18 Hao Zhu , Markus Hainy

Detecting shared neural activity from functional magnetic resonance imaging (fMRI) across individuals exposed to the same stimulus can reveal synchronous brain responses, functional roles of regions, and potential clinical biomarkers.…

Applications · Statistics 2026-04-24 Spencer Wadsworth , Nabin Koirala , Nicole Landi , Ofer Harel

Deep learning models perform best with abundant, high-quality labels, yet such conditions are rarely achievable in EEG-based emotion recognition. Electroencephalogram (EEG) signals are easily corrupted by artifacts and individual…

Machine Learning · Computer Science 2025-11-20 Hyo-Jeong Jang , Hye-Bin Shin , Kang Yin