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The neural activity in the visual processing is influenced by both external stimuli and internal brain states. Ideally, a neural predictive model should account for both of them. Currently, there are no dynamic encoding models that…

Neurons and Cognition · Quantitative Biology 2025-11-18 Finn Schmidt , Polina Turishcheva , Suhas Shrinivasan , Fabian H. Sinz

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

Disordered Systems and Neural Networks · Physics 2012-02-01 Dimitrije Markovic , Claudius Gros

Commonly studied cellular automata are memoryless and have fixed topology of connections between cells. However by allowing updates of links and short-term memory in cells we may potentially discover novel complex regimes of spatio-temporal…

Cellular Automata and Lattice Gases · Physics 2012-12-13 Ramon Alonso-Sanz , Andrew Adamatzky

Neurons in the brain continuously process the barrage of sensory inputs they receive from the environment. A wide array of experimental work has shown that the collective activity of neural populations encodes and processes this constant…

Neurons and Cognition · Quantitative Biology 2025-10-30 Siddharth Paliwal , Gabriel Koch Ocker , Braden A. W. Brinkman

Neural network models offer a theoretical testbed for the study of learning at the cellular level. The only experimentally verified learning rule, Hebb's rule, is extremely limited in its ability to train networks to perform complex tasks.…

adap-org · Physics 2008-02-03 Russell W. Anderson

Learning to interact with the environment not only empowers the agent with manipulation capability but also generates information to facilitate building of action understanding and imitation capabilities. This seems to be a strategy adopted…

Robotics · Computer Science 2022-12-06 M. Y. Seker , A. Ahmetoglu , Y. Nagai , M. Asada , E. Oztop , E. Ugur

Subthreshold oscillations in neurons are those oscillations which do not attain the critical value of the membrane's voltage needed for triggering an action potential (a spike). Their contribution to the forming of action potentials in…

Dynamical Systems · Mathematics 2024-03-22 G. Moza , R. Efrem

The ability to learn continuously from an incoming data stream without catastrophic forgetting is critical for designing intelligent systems. Many existing approaches to continual learning rely on stochastic gradient descent and its…

Machine Learning · Computer Science 2021-03-16 Sandeep Madireddy , Angel Yanguas-Gil , Prasanna Balaprakash

Computational neuroscience relies on large-scale dynamical-systems models of neurons, with a vast amount of offline, pre-simulation, tuned parameters, with models often tied to their brain simulators. These fixed parameters lead to stiff…

Neurons and Cognition · Quantitative Biology 2025-12-25 Lennart P. L. Landsmeer , Mario Negrello , Said Hamdioui , Christos Strydis

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

As a result of a hundred million years of evolution, living animals have adapted extremely well to their ecological niche. Such adaptation implies species-specific interactions with their immediate environment by processing sensory cues and…

Disordered Systems and Neural Networks · Physics 2022-04-28 Tom Birkoben , Hermann Kohlstedt

This article develops a fundamental insight into the behavior of neuronal membranes, focusing on their responses to stimuli measured with power spectra in the frequency domain. It explores the use of linear and nonlinear (quadratic…

Neurons and Cognition · Quantitative Biology 2023-12-04 Christophe Magnani , Lee E. Moore

This paper presents a novel framework for the modeling of biological networks. It makes use of recent tools analyzing the robust satisfaction of properties of (hybrid) dynamical systems. The main challenge of this approach as applied to…

Computational Engineering, Finance, and Science · Computer Science 2012-08-22 Nicolas Mobilia , Alexandre Donzé , Jean Marc Moulis , Éric Fanchon

Classical autoassociative memory models have been central to understanding emergent computations in recurrent neural circuits across diverse biological contexts. However, they typically neglect neuromodulatory agents that are known to…

Neurons and Cognition · Quantitative Biology 2025-12-17 Daiki Goto , Hector Manuel Lopez Rios , Monika Scholz , Suriyanarayanan Vaikuntanathan

Synaptic plasticity is a key component of neuronal dynamics, describing the process by which the connections between neurons change in response to experiences. In this study, we extend a network model of $\theta$-neuron oscillators to…

Neurons and Cognition · Quantitative Biology 2024-08-01 Niamh Fennelly , Alannah Neff , Renaud Lambiotte , Andrew Keane , Áine Byrne

We formulate the Fast-Weights Homeostatic Reentry Network (FHRN) as a continuous-time neural-ODE system, revealing its role as a norm-regulated reentrant dynamical process. Starting from the discrete reentry rule $x_t = x_t^{(\mathrm{ex})}…

Dynamical Systems · Mathematics 2025-12-08 Byung Gyu Chae

Balanced neural networks -- in which excitatory and inhibitory inputs compensate each other on average -- give rise to a dynamical phase dominated by fluctuations called asynchronous state, crucial for brain functioning. However, structural…

Statistical Mechanics · Physics 2024-03-05 Jorge Pretel , Victor Buendía , Joaquín J. Torres , Miguel A. Muñoz

This article explores the design and experimentation of a neural network architecture capable of dynamically adjusting its internal structure based on the input data. The proposed model introduces a routing mechanism that allows each layer…

Machine Learning · Computer Science 2025-11-18 Dmytro Hospodarchuk

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Synaptic connections in neuronal circuits are modulated by pre- and post-synaptic spiking activity. Heuristic models of this process of synaptic plasticity can provide excellent fits to results from in-vitro experiments in which pre- and…

Neurons and Cognition · Quantitative Biology 2022-07-14 Federico Devalle , Alex Roxin
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