Advantages of Persistent Cohomology in Estimating Animal Location From Grid Cell Population Activity

Daisuke Kawahara, Shigeyoshi Fujisawa

Research output: Contribution to journalLetterpeer-review


Many cognitive functions are represented as cell assemblies. In the case of spatial navigation, the population activity of place cells in the hip-pocampus and grid cells in the entorhinal cortex represents self-location in the environment. The brain cannot directly observe self-location information in the environment. Instead, it relies on sensory information and memory to estimate self-location. Therefore, estimating low-dimensional dynamics, such as the movement trajectory of an animal exploring its en-vironment, from only the high-dimensional neural activity is important in deciphering the information represented in the brain. Most previous studies have estimated the low-dimensional dynamics (i.e., latent vari-ables) behind neural activity by unsupervised learning with Bayesian population decoding using artificial neural networks or gaussian pro-cesses. Recently, persistent cohomology has been used to estimate latent variables from the phase information (i.e., circular coordinates) of manifolds created by neural activity. However, the advantages of persistent cohomology over Bayesian population decoding are not well understood. We compared persistent cohomology and Bayesian population decoding in estimating the animal location from simulated and actual grid cell population activity. We found that persistent cohomology can estimate the animal location with fewer neurons than Bayesian population decoding and robustly estimate the animal location from actual noisy data.

Original languageEnglish
Pages (from-to)385-411
Number of pages27
JournalNeural Computation
Issue number3
Publication statusPublished - 2024 Mar

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Cognitive Neuroscience


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