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We propose to model time-varying periodic and oscillatory processes by means of a hidden Markov model where the states are defined through the spectral properties of a periodic regime. The number of states is unknown along with the relevant…

统计方法学 · 统计学 2021-03-19 Beniamino Hadj-Amar , Bärbel Finkenstädt , Mark Fiecas , Robert Huckstepp

Biological neural networks (like the hippocampus) can internally generate "replay" resembling stimulus-driven activity. Recent computational models of replay use noisy recurrent neural networks (RNNs) trained to path-integrate. Replay in…

机器学习 · 计算机科学 2026-02-23 Josue Casco-Rodriguez , Nanda H. Krishna , Richard G. Baraniuk

Psychiatric patients' passive activity monitoring is crucial to detect behavioural shifts in real-time, comprising a tool that helps clinicians supervise patients' evolution over time and enhance the associated treatments' outcomes.…

信号处理 · 电气工程与系统科学 2022-11-21 Fernando Moreno-Pino , María Martínez-García , Pablo M. Olmos , Antonio Artés-Rodríguez

We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity. Our input data consist of spike train measurements of a set of neurons of interest, a candidate list of…

神经元与认知 · 定量生物学 2015-10-23 Gard Spreemann , Benjamin Dunn , Magnus Bakke Botnan , Nils A. Baas

Continuous-time models have been developed to capture features of animal movement across temporal scales. In particular, one popular model is the continuous-time correlated random walk, in which the velocity of an animal is formulated as an…

定量方法 · 定量生物学 2018-08-07 Théo Michelot , Paul G. Blackwell

An important open question in computational neuroscience is how various spatially tuned neurons, such as place cells, are used to support the learning of reward-seeking behavior of an animal. Existing computational models either lack…

神经元与认知 · 定量生物学 2022-05-18 Yuanxiang Gao

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

统计方法学 · 统计学 2019-10-01 Paul G Blackwell

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…

神经元与认知 · 定量生物学 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

It is of some interest to understand how statistically based mechanisms for signal processing might be integrated with biologically motivated mechanisms such as neural networks. This paper explores a novel hybrid approach for classifying…

神经与进化计算 · 计算机科学 2016-07-22 Amirhossein Tavanaei , Anthony S Maida

We propose a Bayesian hidden Markov model for analyzing time series and sequential data where a special structure of the transition probability matrix is embedded to model explicit-duration semi-Markovian dynamics. Our formulation allows…

统计方法学 · 统计学 2022-05-23 Beniamino Hadj-Amar , Jack Jewson , Mark Fiecas

Place cells in the rat hippocampus play a key role in creating the animal's internal representation of the world. During active navigation, these cells spike only in discrete locations, together encoding a map of the environment.…

神经元与认知 · 定量生物学 2016-03-22 Yuri Dabaghian

A main concern in cognitive neuroscience is to decode the overt neural spike train observations and infer latent representations under neural circuits. However, traditional methods entail strong prior on network structure and hardly meet…

神经元与认知 · 定量生物学 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

Characterizing the sleep-wake cycle in adolescents is an important prerequisite to better understand the association of abnormal sleep patterns with subsequent clinical and behavioral outcomes. The aim of this research was to develop hidden…

应用统计 · 统计学 2022-12-22 Semhar B. Ogbagaber , Yifan Cui , Kaigang Li , Ronald J. Iannotti , Paul S. Albert

We demonstrate the efficacy of a new spike-sorting method based on a Markov Chain Monte Carlo (MCMC) algorithm by applying it to real data recorded from Purkinje cells (PCs) in young rat cerebellar slices. This algorithm is unique in its…

定量方法 · 定量生物学 2011-11-10 Matthieu Delescluse , Christophe Pouzat

Modern well-performing approaches to neural decoding are based on machine learning models such as decision tree ensembles and deep neural networks. The wide range of algorithms that can be utilized to learn from neural spike trains, which…

神经元与认知 · 定量生物学 2023-01-30 Ivan Lazarevich , Ilya Prokin , Boris Gutkin , Victor Kazantsev

Understanding the dynamics of neural networks is a major challenge in experimental neuroscience. For that purpose, a modelling of the recorded activity that reproduces the main statistics of the data is required. In a first part, we present…

神经元与认知 · 定量生物学 2014-04-15 Hassan Nasser , Olivier Marre , Bruno Cessac

Monte Carlo approaches have recently been proposed to quantify connectivity in neuronal networks. The key problem is to sample from the conditional distribution of a single neuronal spike train, given the activity of the other neurons in…

应用统计 · 统计学 2011-12-01 Yuriy Mishchenko , Liam Paninski

New types of high-resolution animal movement data allow for increasingly comprehensive biological inference, but method development to meet the statistical challenges associated with such data is lagging behind. In this contribution, we…

统计方法学 · 统计学 2025-07-08 Ferdinand V. Stoye , Annika Hoyer , Roland Langrock

Motivated by the analysis of accelerometer data, we introduce a specific finite mixture of hidden Markov models with particular characteristics that adapt well to the specific nature of this type of data. Our model allows for the…

统计方法学 · 统计学 2020-12-25 Marie du Roy de Chaumaray , Matthieu Marbac , Fabien Navarro

We propose a unified framework that extends the inference methods for classical hidden Markov models to continuous settings, where both the hidden states and observations occur in continuous time. Two different settings are analyzed: hidden…

统计方法学 · 统计学 2021-06-18 Qingcan Wang , Weinan E
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