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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…

Methodology · Statistics 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…

Machine Learning · Computer Science 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.…

Signal Processing · Electrical Eng. & Systems 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…

Neurons and Cognition · Quantitative Biology 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…

Quantitative Methods · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 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…

Methodology · Statistics 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…

Neurons and Cognition · Quantitative Biology 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…

Neural and Evolutionary Computing · Computer Science 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…

Methodology · Statistics 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.…

Neurons and Cognition · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 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…

Applications · Statistics 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…

Quantitative Methods · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 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…

Applications · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 2021-06-18 Qingcan Wang , Weinan E
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