Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Statistically efficient estimation using population coding
Neural Computation
Probabilistic interpretation of population codes
Neural Computation
Mutual information, Fisher information, and population coding
Neural Computation
Neuronal tuning: to sharpen or broaden
Neural Computation
Narrow versus wide turning curves: what's best for a population code?
Neural Computation
The effect of correlated variability on the accuracy of a population code
Neural Computation
Seeing white: qualia in the context of decoding population codes
Neural Computation
The effect of correlations on the Fisher information of population codes
Proceedings of the 1998 conference on Advances in neural information processing systems II
Population coding and decoding in a neural field: a computational study
Neural Computation
Representational accuracy of stochastic neural populations
Neural Computation
Unfaithful Population Decoding
IJCNN '00 Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 2 - Volume 2
Attention Modulation of Neural Tuning Through Peak and Base Rate
Neural Computation
Population Coding with Correlation and an Unfaithful Model
Neural Computation
Multidimensional Encoding Strategy of Spiking Neurons
Neural Computation
Parameter extraction from population codes: A critical assessment
Neural Computation
Population coding and decoding in a neural field: a computational study
Neural Computation
Difficulty of Singularity in Population Coding
Neural Computation
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The present study investigates the influence of attention modulation on neural tuning functions under a Gaussian correlation structure. Recent experiments have shown that attention modulates the tuning curve via its height and base rate. Inspired by this experimental finding, we previously showed the effective size of attention modulation (i.e. the critical length) on the neural population that enhances encoding accuracy. The previous result, however, was obtained under the assumption of uncorrelated firing, i.e. stimulus-conditional independence of neural responses. A question still remains whether the above findings can be applied to correlated firing. It is important to investigate this issue partly because neural firings are usually correlated but even more so because common attentional inputs may cause correlated firings. The present study first provides the general framework of attention modulation in relation to an attended stimulus and an actual stimulus and then shows the existence of a critical length under a Gaussian correlation structure. In order to improve encoding accuracy, measured by the Fisher information, the height and the base rate should be increased when the attended stimulus is in the critical length from the peak of the tuning curve and decreased otherwise. Furthermore, we confirm that a similar nature of the critical length also holds even when the neural decoder uses an uncorrelated unfaithful model. Thus, the existence of the critical length seems to be a ubiquitous phenomenon in attention modulation, and so its implications are discussed.