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Quantifying Information Conveyed by Large Neuronal Populations.

John A Berkowitz1, Tatyana O Sharpee2

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This study presents a novel method to compute mutual information in large neural circuits. The approach effectively approximates complex calculations, making neural information processing more tractable for machine learning and neuroscience research.

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Area of Science:

  • Computational Neuroscience
  • Machine Learning
  • Information Theory

Background:

  • Quantifying mutual information in large neural circuits is crucial but computationally intractable.
  • Existing methods face challenges due to the exponential growth of terms for evaluation.

Purpose of the Study:

  • To develop an effective method for computing mutual information in large neural populations.
  • To approximate mutual information using lower-dimensional conditional terms.

Main Methods:

  • Approximating individual neuron input-output functions using a logistic function.
  • Modeling neural responses sensitive to multiple stimulus components.
  • Decomposing mutual information into a sum of lower-dimensional conditional mutual information terms.

Main Results:

  • The proposed method effectively computes mutual information in large neural populations.
  • Approximations become exact in the limit of large populations and specific receptive field distributions.
  • Empirical results show good performance even when conditions are not strictly met.

Conclusions:

  • The developed approximation offers a computationally efficient way to quantify information in neural circuits.
  • This method advances the understanding of information processing in complex neural systems.
  • The linear growth in computational cost with input dimension is favorable compared to other methods.