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Performing more tasks in parallel is a typical feature of complex brains. These are characterized by the coexistence of excitatory and inhibitory synapses, whose percentage in mammals is measured to have a typical value of 20-30\%. Here we…

Neurons and Cognition · Quantitative Biology 2015-08-25 Vittorio Capano , Hans J. Herrmann , Lucilla de Arcangelis

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

How does the size of a neural circuit influence its learning performance? Intuitively, we expect the learning capacity of a neural circuit to grow with the number of neurons and synapses. Larger brains tend to be found in species with…

Neurons and Cognition · Quantitative Biology 2019-05-09 Dhruva V Raman , Timothy O'Leary

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

A central question in computational neuroscience is how structure determines function in neural networks. The emerging high-quality large-scale connectomic datasets raise the question of what general functional principles can be gleaned…

Neurons and Cognition · Quantitative Biology 2022-10-25 Weishun Zhong , Ben Sorscher , Daniel D Lee , Haim Sompolinsky

We describe a mechanism for biological learning and adaptation based on two simple principles: (I) Neuronal activity propagates only through the network's strongest synaptic connections (extremal dynamics), and (II) The strengths of active…

Disordered Systems and Neural Networks · Physics 2009-10-31 Per Bak , Dante R Chialvo

The brain modifies its synaptic strengths during learning in order to better adapt to its environment. However, the underlying plasticity rules that govern learning are unknown. Many proposals have been suggested, including Hebbian…

Neurons and Cognition · Quantitative Biology 2020-12-09 Aran Nayebi , Sanjana Srivastava , Surya Ganguli , Daniel L. K. Yamins

In traditional machine learning, models are defined by a set of parameters, which are optimized to perform specific tasks. In neural networks, these parameters correspond to the synaptic weights. However, in reality, it is often infeasible…

Machine Learning · Computer Science 2025-02-11 Ofir Schlisselberg , Ran Darshan

Understanding how the complex connectivity structure of the brain shapes its information-processing capabilities is a long-standing question. By focusing on a paradigmatic architecture, we study how the neural activity of excitatory and…

Statistical Mechanics · Physics 2024-10-18 Giacomo Barzon , Daniel Maria Busiello , Giorgio Nicoletti

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

Conventional Artificial Intelligence (AI) systems are running into limitations in terms of training time and energy. Following the principles of the human brain, spiking neural networks trained with unsupervised learning offer a faster,…

Superconductivity · Physics 2025-04-04 Ken Segall , Leon Nichols , Will Friend , Steven B. Kaplan

We show that discrete synaptic weights can be efficiently used for learning in large scale neural systems, and lead to unanticipated computational performance. We focus on the representative case of learning random patterns with binary…

Disordered Systems and Neural Networks · Physics 2015-09-21 Carlo Baldassi , Alessandro Ingrosso , Carlo Lucibello , Luca Saglietti , Riccardo Zecchina

We study a learning rule based upon the temporal correlation (weighted by a learning kernel) between incoming spikes and the internal state of the postsynaptic neuron, building upon previous studies of spike timing dependent synaptic…

Neurons and Cognition · Quantitative Biology 2007-05-23 Juergen Jost

In this work we study, analytically and employing Monte Carlo simulations, the influence of the competition between several activity-dependent synaptic processes, such as short-term synaptic facilitation and depression, on the maximum…

Neurons and Cognition · Quantitative Biology 2010-07-23 Jorge F. Mejias , Joaquin J. Torres

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

Traditional neuron models use analog values for information representation and computation, while all-or-nothing spikes are employed in the spiking ones. With a more brain-like processing paradigm, spiking neurons are more promising for…

Neural and Evolutionary Computing · Computer Science 2021-02-05 Qiang Yu , Shiming Song , Chenxiang Ma , Linqiang Pan , Kay Chen Tan

A perceptron is trained by a random bit sequence. In comparison to the corresponding classification problem, the storage capacity decreases to alpha_c=1.70\pm 0.02 due to correlations between input and output bits. The numerical results are…

Condensed Matter · Physics 2009-10-28 M. Schroeder , W. Kinzel , I. Kanter

Stochasticity and limited precision of synaptic weights in neural network models are key aspects of both biological and hardware modeling of learning processes. Here we show that a neural network model with stochastic binary weights…

Disordered Systems and Neural Networks · Physics 2018-07-04 Carlo Baldassi , Federica Gerace , Hilbert J. Kappen , Carlo Lucibello , Luca Saglietti , Enzo Tartaglione , Riccardo Zecchina

The mammalian brain is a metabolically expensive device, and evolutionary pressures have presumably driven it to make productive use of its resources. For sensory areas, this concept has been expressed more formally as an optimality…

Neurons and Cognition · Quantitative Biology 2016-03-02 Deep Ganguli , Eero P. Simoncelli
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