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Fabrizio Musacchio
@pixeltracker@sigmoid.social  ·  activity timestamp 2 weeks ago

🧠 New paper by Clark et al. (2025) shows that the #dimensionality of #PopulationActivity in #RNN can be explained by just two #connectivity parameters: effective #CouplingStrength and effective #rank. Uses networks with rapidly decaying singular value spectra and structured overlaps between left and right singular vectors. Could be useful for interpreting large scale population recordings and connectome data I guess:

🌍 https://doi.org/10.1103/2jt7-c8cq

#CompNeuro #NeuralDynamics #Connectome

Connectivity Structure and Dynamics of Nonlinear Recurrent Neural Networks

Fig. 2.
Schematic of the random-mode model. Upper: couplings 
J
 are generated as a sum of outer products, 
ℓ
a
r
a
T
, with component strengths 
D
a
. Lower: the two-point function
C
⋆
ϕ
(
τ
)
 and four-point function 
Ψ
⋆
ϕ
(
τ
)
 are calculated in terms of the statistics of 
D
a
. The two-point function depends only on the effective gain 
g
eff
, while the four-point function depends on both 
g
eff
 and 
PR
D
, the effective dimension of the connectivity determined by the 
D
a
 distribution.
Fig. 2. Schematic of the random-mode model. Upper: couplings J are generated as a sum of outer products, ℓ a r a T , with component strengths D a . Lower: the two-point function C ⋆ ϕ ( τ ) and four-point function Ψ ⋆ ϕ ( τ ) are calculated in terms of the statistics of D a . The two-point function depends only on the effective gain g eff , while the four-point function depends on both g eff and PR D , the effective dimension of the connectivity determined by the D a distribution.
Fig. 2. Schematic of the random-mode model. Upper: couplings J are generated as a sum of outer products, ℓ a r a T , with component strengths D a . Lower: the two-point function C ⋆ ϕ ( τ ) and four-point function Ψ ⋆ ϕ ( τ ) are calculated in terms of the statistics of D a . The two-point function depends only on the effective gain g eff , while the four-point function depends on both g eff and PR D , the effective dimension of the connectivity determined by the D a distribution.
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