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- Wang et al., 2025 - The geometry and dimensionality of brain-wide activity
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Morrell et al.’s latent variable model. (A–D) Functional sampled (FSap) eigenspectra of the Morrell et al. model. (E–H) Random sampled (RSap) eigenspectra of the same model. Briefly, in Morrell et al.’s latent variable model (Morrell et al., 2024; Morrell et al., 2021), neural activity is driven by Nf latent fields and a place field. The latent fields are modeled as Ornstein–Uhlenbeck processes with a time constant τ. The parameters ε and η control the mean and variance of individual neurons’ firing rates, respectively. The following are the parameter values used. (A, E) Using the same parameters as in Morrell et al., 2021: Nf=10 , ϵ=−2.67 , η=6 , τ=0.1 . Half of the cells are also coupled to the place field. (B–D, F–H) Using parameters from Morrell et al., 2024: Nf=5 , ϵ=−3 , η=4 . There is no place field. The time constant τ=0.1,1,10 for (B, F, C, G) and (D, H), respectively. |