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Statistical similarities between neuronal spike trains could reveal significant information on complex underlying processing. In general, the similarity between synchronous spike trains is somewhat easy to identify. However, the similar…

Neurons and Cognition · Quantitative Biology 2021-03-16 Sathish Ande , Jayanth R Regatti , Neha Pandey , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Advances in large-scale recording technologies now enable simultaneous measurements from multiple brain areas, offering new opportunities to study signal transmission across interacting components of neural circuits. However, neural…

Neurons and Cognition · Quantitative Biology 2025-10-27 Qi Xin , Robert E. Kass

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

Animal brains exhibit remarkable efficiency in perception and action, while being robust to both external and internal perturbations. The means by which brains accomplish this remains, for now, poorly understood, hindering our understanding…

Neurons and Cognition · Quantitative Biology 2026-03-11 André Urbano , Pablo Lanillos , Sander Keemink

Learning is a complex dynamical process shaped by a range of interconnected decisions. Careful design of hyperparameter schedules for artificial neural networks or efficient allocation of cognitive resources by biological learners can…

Disordered Systems and Neural Networks · Physics 2025-07-11 Francesca Mignacco , Francesco Mori

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

Information theory is a powerful framework for quantifying complexity, uncertainty, and dynamical structure in time-series data, with widespread applicability across disciplines such as physics, finance, and neuroscience. However, the…

Information Theory · Computer Science 2026-01-26 Annie G. Bryant , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

Neurons and Cognition · Quantitative Biology 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

The inference of an underlying network topology from local observations of a complex system composed of interacting units is usually attempted by using statistical similarity measures, such as Cross-Correlation (CC) and Mutual Information…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Nicolás Rubido , Arturo C. Martí , Ezequiel Bianco-Martínez , Celso Grebogi , Murilo S. Baptista , Cristina Masoller

We provide rigorous and exact results characterizing the statistics of spike trains in a network of leaky integrate and fire neurons, where time is discrete and where neurons are submitted to noise, without restriction on the synaptic…

Dynamical Systems · Mathematics 2011-05-18 B. Cessac

The advent of large scale neural computational platforms has highlighted the lack of algorithms for synthesis of neural structures to perform predefined cognitive tasks. The Neural Engineering Framework offers one such synthesis, but it is…

Neural and Evolutionary Computing · Computer Science 2013-04-29 J. Tapson , G. Cohen , S. Afshar , K. Stiefel , Y. Buskila , R. Wang , T. J. Hamilton , A. van Schaik

Transient phenomena play a key role in coordinating brain activity at multiple scales, however,their underlying mechanisms remain largely unknown. A key challenge for neural data science is thus to characterize the network interactions at…

Neurons and Cognition · Quantitative Biology 2022-09-16 Kaidi Shao , Nikos K. Logothetis , Michel Besserve

Spatiotemporal patterns such as traveling waves are frequently observed in recordings of neural activity. The mechanisms underlying the generation of such patterns are largely unknown. Previous studies have investigated the existence and…

Neurons and Cognition · Quantitative Biology 2022-09-16 Johanna Senk , Karolína Korvasová , Jannis Schuecker , Espen Hagen , Tom Tetzlaff , Markus Diesmann , Moritz Helias

Sequences of correlated binary patterns can represent many time-series data including text, movies, and biological signals. These patterns may be described by weighted combinations of a few dominant structures that underpin specific…

Machine Learning · Statistics 2019-03-29 Jimmy Gaudreault , Arunabh Saxena , Hideaki Shimazaki

Cross-frequency interactions are fundamental brain mechanisms for integrating information across temporal scales. However, accurate identification of these couplings is hindered by complex multi-frequency nonlinearities and by spurious,…

Neurons and Cognition · Quantitative Biology 2026-05-07 Alessio Basti , Rikkert Hindriks , Ruggero Freddi , Gian Luca Romani , Vittorio Pizzella , Guido Nolte , Laura Marzetti

The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behaviour, it is crucial to convene as much information as possible about…

Neurons and Cognition · Quantitative Biology 2024-06-18 Gustavo Menesse , Akke Mats Houben , Jordi Soriano , Joaquin J. Torres

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

Decision formation in perceptual decision-making involves sensory evidence accumulation instantiated by the temporal integration of an internal decision variable towards some decision criterion or threshold, as described by sequential…

Neurons and Cognition · Quantitative Biology 2024-10-15 Brendan Lenfesty , Saugat Bhattacharyya , KongFatt Wong-Lin

Advances in neuroscience have enabled researchers to measure the activities of large numbers of neurons simultaneously in behaving animals. We have access to the fluorescence of each of the neurons which provides a first-order approximation…

Neurons and Cognition · Quantitative Biology 2023-07-21 Abhisek Chakraborty

A major obstacle to understanding neural coding and computation is the fact that experimental recordings typically sample only a small fraction of the neurons in a circuit. Measured neural properties are skewed by interactions between…

Neurons and Cognition · Quantitative Biology 2025-04-01 Braden A. W. Brinkman , Fred Rieke , Eric Shea-Brown , Michael A. Buice