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A central question in multimodal neuroimaging analysis is to understand the association between two imaging modalities and to identify brain regions where such an association is statistically significant. In this article, we propose a…

Methodology · Statistics 2024-11-28 Moyan Li , Lexin Li , Jian Kang

Gaussian processes are the leading class of distributions on random functions, but they suffer from well known issues including difficulty scaling and inflexibility with respect to certain shape constraints (such as nonnegativity). Here we…

Accurate modeling of the correlation between the sources plays a crucial role in the efficiency of distributed source coding (DSC) systems. This correlation is commonly modeled in the binary domain by using a single binary symmetric channel…

Information Theory · Computer Science 2012-11-12 Mojtaba Vaezi , Fabrice Labeau

The standard approaches to neural network implementation yield powerful function approximation capabilities but are limited in their abilities to learn meta representations and reason probabilistic uncertainties in their predictions.…

Machine Learning · Computer Science 2023-10-05 Saurav Jha , Dong Gong , Xuesong Wang , Richard E. Turner , Lina Yao

This paper presents an unsupervised method that trains neural source separation by using only multichannel mixture signals. Conventional neural separation methods require a lot of supervised data to achieve excellent performance. Although…

Sound · Computer Science 2019-08-30 Yoshiaki Bando , Yoko Sasaki , Kazuyoshi Yoshii

Spiking Neural Networks (SNNs) capture the information processing mechanism of the brain by taking advantage of spiking neurons, such as the Leaky Integrate-and-Fire (LIF) model neuron, which incorporates temporal dynamics and transmits…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Zexiang Yi , Jing Lian , Yunliang Qi , Zhaofei Yu , Huajin Tang , Yide Ma , Jizhao Liu

We investigate the influence of indirect connections, interregional distance and collective effects on the large-scale functional networks of the human cortex. We study topologies of empirically derived resting state networks (RSNs),…

Neurons and Cognition · Quantitative Biology 2013-02-18 Vesna Vuksanović , Philipp Hövel

Inhomogeneities in real-world data, e.g., due to changes in the observation noise level or variations in the structural complexity of the source function, pose a unique set of challenges for statistical inference. Accounting for them can…

Machine Learning · Computer Science 2023-12-13 Danny Panknin , Stefan Chmiela , Klaus-Robert Müller , Shinichi Nakajima

In neuroelectrophysiology one records electric potentials or magnetic fields generated by ensembles of synchronously active neurons in response to externally presented stimuli. These evoked responses are often produced by multiple…

Medical Physics · Physics 2007-05-23 Kevin H. Knuth , Wilson A. Truccolo , Steven L. Bressler , Mingzhou Ding

Diffusion models have emerged as powerful tools for generative tasks, producing high-quality outputs across diverse domains. However, how the generated data responds to the initial noise perturbation in diffusion models remains…

Machine Learning · Computer Science 2025-02-10 Bowen Song , Zecheng Zhang , Zhaoxu Luo , Jason Hu , Wei Yuan , Jing Jia , Zhengxu Tang , Guanyang Wang , Liyue Shen

Motivated by modern observational studies, we introduce a class of functional models that expands nested and crossed designs. These models account for the natural inheritance of correlation structure from sampling design in studies where…

Applications · Statistics 2013-04-26 Haochang Shou , Vadim Zipunnikov , Ciprian M. Crainiceanu , Sonja Greven

Local field potentials (LFPs) are signals that measure electrical activity in localized cortical regions from implanted tetrodes in the human or animal brain. The LFP signals are curves observed at multiple tetrodes which are implanted…

Methodology · Statistics 2022-11-29 Shuhao Jiao , Ron D. Frostig , Hernando Ombao

Gaussian processes are now commonly used in dimensionality reduction approaches tailored to neuroscience, especially to describe changes in high-dimensional neural activity over time. As recording capabilities expand to include neuronal…

Machine Learning · Statistics 2024-12-24 Evren Gokcen , Anna I. Jasper , Adam Kohn , Christian K. Machens , Byron M. Yu

Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

While measurement advances now allow extensive surveys of gene activity (large numbers of genes across many samples), interpretation of these data is often confounded by noise -- expression counts can differ strongly across samples due to…

We generalize the log Gaussian Cox process (LGCP) framework to model multiple correlated point data jointly. The observations are treated as realizations of multiple LGCPs, whose log intensities are given by linear combinations of latent…

Machine Learning · Statistics 2019-03-18 Virginia Aglietti , Theodoros Damoulas , Edwin Bonilla

The synchronized activity of neuronal populations can lead to pathological over-synchronization in conditions such as epilepsy and Parkinson disease. Such states can be desynchronized by brief electrical pulses. But when the underlying…

Neurons and Cognition · Quantitative Biology 2026-03-16 Ramón Guevara , Marco Zenari , Giorgio Nicoletti , Elisa Marini , Samir Suweis , Sandro Azaele , Marco Formentin

Neural interactions occur on different levels and scales. It is of particular importance to understand how they are distributed among different neuroanatomical and physiological relevant brain regions. We investigated neural cross-frequency…

Adaptation and Self-Organizing Systems · Physics 2023-10-20 Dushko Lukarski , Spase Petkoski , Peng Ji , Tomislav Stankovski

With advances in neural recording techniques, neuroscientists are now able to record the spiking activity of many hundreds of neurons simultaneously, and new statistical methods are needed to understand the structure of this large-scale…

Neurons and Cognition · Quantitative Biology 2023-03-03 Ganchao Wei , Ian H. Stevenson , Xiaojing Wang

Objective: The brain operates via generation, transmission and integration of neuronal signals and most neurological disorders are related to perturbation of these processes. Neurostimulation by Focused Ultrasound (FUS) is a promising…