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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

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski

To understand how rich dynamics emerge in neural populations, we require models exhibiting a wide range of activity patterns while remaining interpretable in terms of connectivity and single-neuron dynamics. However, it has been challenging…

Neurons and Cognition · Quantitative Biology 2020-03-10 Alexandre René , André Longtin , Jakob H. Macke

The identification of unlabelled neuronal electric signals is one of the most challenging open problems in neuroscience, widely known as Spike Sorting. Motivated to solve this problem, we propose a model-based approach within the mixture…

Applications · Statistics 2022-03-14 Alejandro Rodríguez-Collado , Cristina Rueda

To identify novel dynamic patterns of gene expression, we develop a statistical method to cluster noisy measurements of gene expression collected from multiple replicates at multiple time points, with an unknown number of clusters. We…

Applications · Statistics 2013-12-02 Audrey Qiuyan Fu , Steven Russell , Sarah J. Bray , Simon Tavaré

A fundamental problem in network analysis is clustering the nodes into groups which share a similar connectivity pattern. Existing algorithms for community detection assume the knowledge of the number of clusters or estimate it a priori…

Methodology · Statistics 2018-03-30 Junxian Geng , Anirban Bhattacharya , Debdeep Pati

There is a rich literature on clustering functional data with applications to time-series modeling, trajectory data, and even spatio-temporal applications. However, existing methods routinely perform global clustering that enforces…

Methodology · Statistics 2024-12-16 Tsung-Hung Yao , Suprateek Kundu

Background: Current neuronal monitoring techniques, such as calcium imaging and multi-electrode arrays, enable recordings of spiking activity from hundreds of neurons simultaneously. Of primary importance in systems neuroscience is the…

Neurons and Cognition · Quantitative Biology 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

In this paper, we develop an approach to modeling high-dimensional networks with a large number of nodes arranged in a hierarchical and modular structure. We propose a novel multi-scale factor analysis (MSFA) model which partitions the…

Applications · Statistics 2020-04-10 Chee-Ming Ting , Hernando Ombao , Sh-Hussain Salleh

Recent advances in neuroscience data acquisition allow for the simultaneous recording of large populations of neurons across multiple brain areas while subjects perform complex cognitive tasks. Interpreting these data requires us to index…

Neurons and Cognition · Quantitative Biology 2020-10-27 Yu Takagi , Steven W. Kennerley , Jun-ichiro Hirayama , Laurence T. Hunt

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

We propose novel Bayesian Dynamic Clustering Factor Models (BDCFM) for the analysis of multivariate longitudinal data. BDCFM combines factor models with hidden Markov models to concomitantly perform dimension reduction, clustering, and…

Methodology · Statistics 2025-05-28 Tsering Dolkar , Marco A. R. Ferreira , Hwasoo Shin , Allison N. Tegge

Recent advancements in miniaturized fluorescence microscopy have made it possible to investigate neuronal responses to external stimuli in awake behaving animals through the analysis of intra-cellular calcium signals. An on-going challenge…

Applications · Statistics 2022-01-28 Laura D'Angelo , Antonio Canale , Zhaoxia Yu , Michele Guindani

We propose a construction for joint feature learning and clustering of multichannel extracellular electrophysiological data across multiple recording periods for action potential detection and discrimination ("spike sorting"). Our…

The statistical analysis of group studies in neuroscience is particularly challenging due to the complex spatio-temporal nature of the data, its multiple levels and the inter-individual variability in brain responses. In this respect,…

Methodology · Statistics 2025-05-15 Nicolò Margaritella , Vanda Inácio , Ruth King

Neurons in higher cortical areas, such as the prefrontal cortex, are known to be tuned to a variety of sensory and motor variables. The resulting diversity of neural tuning often obscures the represented information. Here we introduce a…

In applications such as gene regulatory network analysis based on single-cell RNA sequencing data, samples often come from a mixture of different populations and each population has its own unique network. Available graphical models often…

Methodology · Statistics 2022-12-08 Junjie Tang , Changhu Wang , Feiyi Xiao , Ruibin Xi

We present a new statistical method to analyze multichannel steady-state local field potentials (LFP) recorded within different sensory cortices of different rodent species. Our spatiotemporal multi-dimensional cluster statistics (MCS)…

Quantitative Methods · Quantitative Biology 2016-11-24 Patrick Krauss , Claus Metzner , Achim Schilling , Konstantin Tziridis , Maximilian Traxdorf , Holger Schulze

In many areas of the brain, neural spiking activity covaries with features of the external world, such as sensory stimuli or an animal's movement. Experimental findings suggest that the variability of neural activity changes over time and…

Neurons and Cognition · Quantitative Biology 2022-10-11 Ganchao Wei , Ian H. Stevenson

The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

Machine Learning · Statistics 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka
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