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As subjects perceive the sensory world, different stimuli elicit a number of neural representations. Here, a subjective distance between stimuli is defined, measuring the degree of similarity between the underlying representations. As an…

Neurons and Cognition · Quantitative Biology 2007-05-23 D. Oliva , I. Samengo , S. Leutgeb , S. Mizumori

Shannon mutual information provides a measure of how much information is, on average, contained in a set of neural activities about a set of stimuli. It has been extensively used to study neural coding in different brain areas. To apply a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michele Bezzi

Mammalian spatial navigation relies on specialized neurons, such as place and grid cells, which encode position based on self-motion and environmental cues. While extensive research has explored the computational role of grid cells, the…

Neurons and Cognition · Quantitative Biology 2026-03-02 Jared Deighton , Wyatt Mackey , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

The human brain prioritises relevant sensory information to perform different tasks. Enhancement of task-relevant information requires flexible allocation of attentional resources, but it is still a mystery how this is operationalised in…

Neurons and Cognition · Quantitative Biology 2021-02-22 Tijl Grootswagers , Amanda K. Robinson , Sophia M. Shatek , Thomas A. Carlson

To understand sensory coding, we must ask not only how much information neurons encode, but also what that information is about. This requires decomposing mutual information into contributions from individual stimuli and stimulus features:…

Neurons and Cognition · Quantitative Biology 2025-10-23 Steeve Laquitaine , Simone Azeglio , Carlo Paris , Ulisse Ferrari , Matthew Chalk

The proposed analysis of the currently available experimental results concerning the neural cell activity in the brain area known as hippocampus suggests a particular mechanism of spatial information and memory processing. Below it is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Yu. Dabaghian , A. G. Cohn , L. Frank

Information estimates such as the ``direct method'' of Strong et al. (1998) sidestep the difficult problem of estimating the joint distribution of response and stimulus by instead estimating the difference between the marginal and…

Neurons and Cognition · Quantitative Biology 2008-07-19 Vincent Q. Vu , Bin Yu , Robert E. Kass

The capacity with which a system of independent neuron-like units represents a given set of stimuli is studied by calculating the mutual information between the stimuli and the neural responses. Both discrete noiseless and continuous noisy…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ines Samengo , Alessandro Treves

Many approaches have dealt with the hypothesis that the environment contain information, mostly focusing on how humans decode information from the environment in visual perception, navigation, and spatial decision-making. A question yet to…

Physics and Society · Physics 2019-10-16 Vinicius M. Netto , Edgardo Brigatti , Caio Cacholas , Vinicius Gomes Aleixo

We study the capacity with which a system of independent neuron-like units represents a given set of stimuli. We assume that each neuron provides a fixed amount of information, and that the information provided by different neurons has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ines Samengo

The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if…

Neurons and Cognition · Quantitative Biology 2016-03-15 Kanaka Rajan , William Bialek

Understanding how neural population responses represent sensory information is a central problem in systems neuroscience. One approach is to define a representational geometry on stimulus space in which distances reflect how reliably…

Neurons and Cognition · Quantitative Biology 2026-05-08 Simone Azeglio , Steeve Laquitaine , Ulisse Ferrari , Matthew Chalk

In inverse problems, one attempts to infer spatially variable functions from indirect measurements of a system. To practitioners of inverse problems, the concept of "information" is familiar when discussing key questions such as which parts…

Numerical Analysis · Mathematics 2025-02-12 Wolfgang Bangerth , Chris R. Johnson , Dennis K. Njeru , Bart van Bloemen Waanders

We studied the mutual information between a stimulus and a large system consisting of stochastic, statistically independent elements that respond to a stimulus. The Mutual Information (MI) of the system saturates exponentially with system…

Statistical Mechanics · Physics 2009-11-07 Kukjin Kang , Haim Sompolinsky

Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space. This is motivated by the problem in neuroscience of calculating the mutual…

Information Theory · Computer Science 2014-05-20 R. Joshua Tobin , Conor J. Houghton

We propose a method that would allow for a rigorous statistical analysis of neural responses to natural stimuli, which are non-Gaussian and exhibit strong correlations. We have in mind a model in which neurons are selective for a small…

Biological Physics · Physics 2007-05-23 Tatyana Sharpee , Nicole C. Rust , William Bialek

The ability of the organism to distinguish between various stimuli is limited by the structure and noise in the population code of its sensory neurons. Here we infer a distance measure on the stimulus space directly from the recorded…

Neurons and Cognition · Quantitative Biology 2013-06-14 Gašper Tkačik , Einat Granot-Atedgi , Ronen Segev , Elad Schneidman

Brain decoding involves the determination of a subject's cognitive state or an associated stimulus from functional neuroimaging data measuring brain activity. In this setting the cognitive state is typically characterized by an element of a…

Machine Learning · Statistics 2015-04-14 Nicole Croteau , Farouk S. Nathoo , Jiguo Cao , Ryan Budney

Measures of information transfer have become a popular approach to analyze interactions in complex systems such as the Earth or the human brain from measured time series. Recent work has focused on causal definitions of information transfer…

Methodology · Statistics 2016-03-21 Jakob Runge

To study information processing in the brain, neuroscientists manipulate experimental stimuli while recording participant brain activity. They can then use encoding models to find out which brain "zone" (e.g. which region of interest,…

Neurons and Cognition · Quantitative Biology 2022-02-22 Mariya Toneva , Jennifer Williams , Anand Bollu , Christoph Dann , Leila Wehbe
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