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Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

The present work shows that the maximum-entropy method can be applied to a sample of neuronal recordings along two different routes: (1) apply to the sample; or (2) apply to a larger, unsampled neuronal population from which the sample is…

Neurons and Cognition · Quantitative Biology 2020-10-20 PierGianLuca Porta Mana , Vahid Rostami , Emiliano Torre , Yasser Roudi

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

Other Quantitative Biology · Quantitative Biology 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

The design of fluid channel structures of reactors or separators of chemical processes is key to enhancing the mass transfer processes inside the devices. However, the systematic design of channel topological structures is difficult for…

Fluid Dynamics · Physics 2025-03-07 Chenhui Kou , Yuhui Yin , Min Zhu , Shengkun Jia , Yiqing Luo , Xigang Yuana , Lu Lu

Objective. Precise control of neural systems is essential to experimental investigations of how the brain controls behavior and holds the potential for therapeutic manipulations to correct aberrant network states. Model predictive control,…

Neurons and Cognition · Quantitative Biology 2024-08-06 Christof Fehrman , C. Daniel Meliza

The brain is an intricately structured organ responsible for the rich emergent dynamics that support the complex cognitive functions we enjoy as humans. With around $10^{11}$ neurons and $10^{15}$ synapses, understanding how the human brain…

Neurons and Cognition · Quantitative Biology 2019-02-12 Jason Z. Kim , Danielle S. Bassett

A core challenge in the interpretation of deep neural networks is identifying commonalities between the underlying algorithms implemented by distinct networks trained for the same task. Motivated by this problem, we introduce DYNAMO, an…

Machine Learning · Computer Science 2023-03-01 Jordan Cotler , Kai Sheng Tai , Felipe Hernández , Blake Elias , David Sussillo

Understanding neurocognitive computations will require not just localizing cognitive information distributed throughout the brain but also determining how that information got there. We review recent advances in linking empirical and…

Neurons and Cognition · Quantitative Biology 2019-10-22 Takuya Ito , Luke Hearne , Ravi Mill , Carrisa Cocuzza , Michael W. Cole

A neuron is a basic physiological and computational unit of the brain. While much is known about the physiological properties of a neuron, its computational role is poorly understood. Here we propose to view a neuron as a signal processing…

Neurons and Cognition · Quantitative Biology 2014-05-14 Tao Hu , Zaid J. Towfic , Cengiz Pehlevan , Alex Genkin , Dmitri B. Chklovskii

The firing dynamics of biological neurons in mathematical models is often determined by the model's parameters, representing the neurons' underlying properties. The parameter estimation problem seeks to recover those parameters of a single…

Neurons and Cognition · Quantitative Biology 2022-10-05 Long Le , Yao Li

This report is concerned with the relevance of the microscopic rules, that implement individual neuronal activation, in determining the collective dynamics, under variations of the network topology. To fix ideas we study the dynamics of two…

Disordered Systems and Neural Networks · Physics 2021-09-06 Margarita M. Sánchez Díaz , Eyisto J. Aguilar Trejo , Daniel A. Martin , Sergio A. Cannas , Tomás S. Grigera , Dante R. Chialvo

We need much better understanding of information processing and computation as its primary form. Future progress of new computational devices capable of dealing with problems of big data, internet of things, semantic web, cognitive robotics…

General Literature · Computer Science 2013-12-10 Mark Burgin , Gordana Dodig-Crnkovic

The dynamics of neuron populations commonly evolve on low-dimensional manifolds. Thus, we need methods that learn the dynamical processes over neural manifolds to infer interpretable and consistent latent representations. We introduce a…

Machine Learning · Computer Science 2025-01-31 Adam Gosztolai , Robert L. Peach , Alexis Arnaudon , Mauricio Barahona , Pierre Vandergheynst

Recurrent Neural Networks (RNNs) are frequently used to model aspects of brain function and structure. In this work, we trained small fully-connected RNNs to perform temporal and flow control tasks with time-varying stimuli. Our results…

Neurons and Cognition · Quantitative Biology 2023-06-29 Cecilia Jarne , Rodrigo Laje

In this paper, we propose a new scheme for modelling the diverse behavior of neurons. We introduce the conditional activation, in which a neurons activation function is dynamically modified by a control signal. We apply this method to…

Neural and Evolutionary Computing · Computer Science 2018-03-15 Albert Lee , Bonnie Lam , Wenyuan Li , Hochul Lee , Wei-Hao Chen , Meng-Fan Chang , Kang. -L. Wang

The emergence of collective dynamics in neural networks is a mechanism of the animal and human brain for information processing. In this paper, we develop a computational technique using distributed processing elements in a complex network,…

Artificial Intelligence · Computer Science 2018-02-20 Filipe Alves Neto Verri , Paulo Roberto Urio , Liang Zhao

We introduce a novel mathematical framework that unifies neural population dynamics, hippocampal sharp wave-ripple (SpWR) generation, and cognitive consistency constraints inspired by Heider's theory. Our model leverages low-dimensional…

Artificial Intelligence · Computer Science 2025-03-05 Phuong-Nam Nguyen

The response time of physical computational elements is finite, and neurons are no exception. In hierarchical models of cortical networks each layer thus introduces a response lag. This inherent property of physical dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-10-28 Paul Haider , Benjamin Ellenberger , Laura Kriener , Jakob Jordan , Walter Senn , Mihai A. Petrovici

Patterns of microcircuitry suggest that the brain has an array of repeated canonical computational units. Yet neural representations are distributed, so the relevant computations may only be related indirectly to single-neuron…

Neurons and Cognition · Quantitative Biology 2023-10-17 Rajkumar Vasudeva Raju , Zhe Li , Scott Linderman , Xaq Pitkow

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura
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