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The efficient coding theory postulates that single cells in a neuronal population should be optimally configured to efficiently encode information about a stimulus subject to biophysical constraints. This poses the question of how multiple…

Neurons and Cognition · Quantitative Biology 2023-08-11 Shuai Shao , Markus Meister , Julijana Gjorgjieva

Information processing in neural populations is inherently constrained by metabolic resource limits and noise properties, with dynamics that are not accurately described by existing mathematical models. Recent data, for example, shows that…

Neural and Evolutionary Computing · Computer Science 2026-02-16 Yi-Chun Hung , Gregory Schwartz , Emily A. Cooper , Emma Alexander

We consider the energy savings that can be obtained by employing network coding instead of plain routing in wireless multiple unicast problems. We establish lower bounds on the benefit of network coding, defined as the maximum of the ratio…

Information Theory · Computer Science 2011-08-19 Jasper Goseling , Ruytaroh Matsumoto , Tomohiko Uyematsu , Jos H. Weber

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

We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

Biological Physics · Physics 2015-03-17 Michael J. Barber , Manfred L. Ristig

Neurons in the brain represent information in their collective activity. The fidelity of this neural population code depends on whether and how variability in the response of one neuron is shared with other neurons. Two decades of studies…

Neurons and Cognition · Quantitative Biology 2021-02-02 Rava Azeredo da Silveira , Fred Rieke

The generation and conduction of action potentials represents a fundamental means of communication in the nervous system, and is a metabolically expensive process. In this paper, we investigate the energy efficiency of neural systems in a…

Neurons and Cognition · Quantitative Biology 2014-04-23 Lianchun Yu , Liwei Liu

Life relies on the efficient performance of molecular codes, which relate symbols and meanings via error-prone molecular recognition. We describe how optimizing a code to withstand the impact of molecular recognition noise may be…

Quantitative Methods · Quantitative Biology 2010-07-26 Tsvi Tlusty

The sigmoidal tuning curve that maximizes the mutual information for a Poisson neuron, or population of Poisson neurons, is obtained. The optimal tuning curve is found to have a discrete structure that results in a quantization of the input…

Neurons and Cognition · Quantitative Biology 2009-09-24 Alexander P. Nikitin , Nigel G. Stocks , Robert P. Morse , Mark D. McDonnell

Motivated by recent studies of population coding in theoretical neuroscience, we examine the optimality of a recently described form of stochastic resonance known as suprathreshold stochastic resonance, which occurs in populations of noisy…

Statistical Mechanics · Physics 2007-07-02 Mark D. McDonnell , Nigel G. Stocks , Charles E. M. Pearce , Derek Abbott

We introduce noisy beeping networks, where nodes have limited communication capabilities, namely, they can only emit energy or sense the channel for energy. Furthermore, imperfections may cause devices to malfunction with some fixed…

Data Structures and Algorithms · Computer Science 2022-08-04 Yagel Ashkenazi , Ran Gelles , Amir Leshem

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu

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

Synapses are information efficient in the sense that their natural conductance values convey as many bits per Joule as possible, but efficiency falls rapidly if the conductance is forced to deviate from its natural value (Harris et al,…

Neurons and Cognition · Quantitative Biology 2026-05-19 James V Stone

Coded recurrent neural networks with three levels of sparsity are introduced. The first level is related to the size of messages, much smaller than the number of available neurons. The second one is provided by a particular coding rule,…

Machine Learning · Computer Science 2011-02-22 Vincent Gripon , Claude Berrou

Over repeat presentations of the same stimulus, sensory neurons show variable responses. This "noise" is typically correlated between pairs of cells, and a question with rich history in neuroscience is how these noise correlations impact…

Neurons and Cognition · Quantitative Biology 2015-06-16 Yu Hu , Joel Zylberberg , Eric Shea-Brown

We study the energy performance of random linear network coding for time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data…

Information Theory · Computer Science 2009-01-05 Daniel E. Lucani , Milica Stojanovic , Muriel Médard

Neurons in the nervous system convey information to higher brain regions by the generation of spike trains. An important question in the field of computational neuroscience is how these sensory neurons encode environmental information in a…

Neurons and Cognition · Quantitative Biology 2013-09-13 Alex Susemihl , Ron Meir , Manfred Opper

In systems neuroscience, most models posit that brain regions communicate information under constraints of efficiency. Yet, evidence for efficient communication in structural brain networks characterized by hierarchical organization and…

Information needs to be appropriately encoded to be reliably transmitted over physical media. Similarly, neurons have their own codes to convey information in the brain. Even though it is well-known that neurons exchange information using a…

Neurons and Cognition · Quantitative Biology 2018-10-18 Chris G. Antonopoulos , Ezequiel Bianco-Martinez , Murilo S. Baptista
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