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Interpretable Nonlinear Dynamic Modeling of Neural Trajectories

NeurIPS 2016 · Time series › Causal and generative time series · approach: Dynamical system reconstruction · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use proposed model with contractional term instead of locally linear model without it (ablation)Dynamics model · Decision-making, c=1 predictionprediction error: 0.244 -> 0.002Helped
Locally linear model vs proposed on training errorLocally linear model · Decision-making trainingtraining error: 2.04E-08 vs 4.06E-08No clear effect
Train on low/moderate coherence only, test at higher coherenceProposed model · Decision-makingbifurcation predictionHelped
Linear dynamical system instead of nonlinear modelV1 latent dynamics · V1 held-out directionprediction qualityHurt
Delay embedding of v(t) as (v(t), v(t-10)) with unobserved wFitzHugh-Nagumo model · FHNlong-term predictionHelped

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