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We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

In this paper, a Lie group-based neural network method is proposed for solving initial value problems of non linear dynamics. Due to its single-layer structure (MLP), the approach is substantially cheaper than the multilayer perceptron…

Dynamical Systems · Mathematics 2022-03-10 Ying Wen , Temuer Chaolu

Nonlinear dynamics of spiking neural networks has recently attracted much interest as an approach to understand possible information processing in the brain and apply it to artificial intelligence. Since information can be processed by…

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen

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

We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons have on the collective response of the system to an external signal. We have considered two different interaction scenarios,…

Biological Physics · Physics 2010-03-31 T. Perez , C. R. Mirasso , R. Toral , J. D. Gunton

A key property of neural networks (both biological and artificial) is how they learn to represent and manipulate input information in order to solve a task. Different types of representations may be suited to different types of tasks,…

Machine Learning · Computer Science 2023-07-18 Ryan Pyle , Sebastian Musslick , Jonathan D. Cohen , Ankit B. Patel

Active learning seeks to reduce the amount of data required to fit the parameters of a model, thus forming an important class of techniques in modern machine learning. However, past work on active learning has largely overlooked latent…

Machine Learning · Computer Science 2024-02-20 Aditi Jha , Zoe C. Ashwood , Jonathan W. Pillow

The impact of inhibitory and excitatory synapses in delay-coupled Hodgkin--Huxley neurons that are driven by noise is studied. If both synaptic types are used for coupling, appropriately tuned delays in the inhibition feedback induce…

Neurons and Cognition · Quantitative Biology 2012-05-01 Qingyun Wang , Honghui Zhang , Matjaz Perc , Guanrong Chen

Neural fields, mapping low-dimensional input coordinates to corresponding signals, have shown promising results in representing various signals. Numerous methodologies have been proposed, and techniques employing MLPs and grid…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Joo Chan Lee , Daniel Rho , Seungtae Nam , Jong Hwan Ko , Eunbyung Park

Heterogeneity is a ubiquitous property of many biological systems and has profound implications for computation. While it is conceivable to optimize neuronal and synaptic heterogeneity for a specific task, such top-down optimization is…

Machine Learning · Computer Science 2025-12-02 Arash Golmohammadi , Jannik Luboeinski , Christian Tetzlaff

Discussions of the hippocampus often focus on place cells, but many neurons are not place cells in any given environment. Here we describe the collective activity in such mixed populations, treating place and non-place cells on the same…

Neurons and Cognition · Quantitative Biology 2019-01-01 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek

Since the first recordings made of evoked action potentials it has become apparent that the responses of individual neurons to ongoing physiologically relevant input, are highly variable. This variability is manifested in non-stationary…

Neurons and Cognition · Quantitative Biology 2010-08-10 Avner Wallach , Danny Eytan , Asaf Gal , Christoph Zrenner , Ron Meir , Shimon Marom

Neuroscientific theory suggests that dopaminergic neurons broadcast global reward prediction errors to large areas of the brain influencing the synaptic plasticity of the neurons in those regions. We build on this theory to propose a…

Machine Learning · Computer Science 2019-11-12 Sneha Aenugu , Abhishek Sharma , Sasikiran Yelamarthi , Hananel Hazan , Philip S. Thomas , Robert Kozma

The biological neural network is a vast and diverse structure with high neural heterogeneity. Conventional Artificial Neural Networks (ANNs) primarily focus on modifying the weights of connections through training while modeling neurons as…

Neural and Evolutionary Computing · Computer Science 2023-10-16 Guobin Shen , Dongcheng Zhao , Yiting Dong , Yang Li , Yi Zeng

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

Neural networks are known to exploit spurious artifacts (or shortcuts) that co-occur with a target label, exhibiting heuristic memorization. On the other hand, networks have been shown to memorize training examples, resulting in…

Machine Learning · Computer Science 2024-02-05 Rachit Bansal , Danish Pruthi , Yonatan Belinkov

Multi-layer perceptrons (MLPs) are a standard tool for learning and function approximation, but they inherently yield outputs that are globally smooth. As a result, they struggle to represent functions that are continuous yet deliberately…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Hanting Niu , Junkai Deng , Fei Hou , Wencheng Wang , Ying He

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

Machine Learning · Computer Science 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

There is still much to understand about the color processing mechanisms in the brain and the transformation from cone-opponent representations to perceptual hues. Moreover, it is unclear which areas(s) in the brain represent unique hues. We…

Neurons and Cognition · Quantitative Biology 2019-07-05 Paria Mehrani , Andrei Mouraviev , John K. Tsotsos