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Learning Population-Level Diffusions with Generative RNNs

ICML 2016 · Probabilistic and scientific modeling › Dynamical systems · approach: Low-rank and diffusion neural dynamics · 34 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
stationary contrastive-divergence pre-training before backprop through time (ablation)diffusive RNN potential · Himmelblau flowtraining log-likelihood and runtimeHelped
sum-of-ramps RNN parametrization of the potential instead of local Gaussian modelpopulation-level diffusion inference · Styblinski flow in high dimensions (d=50)held-out Wasserstein distanceHelped
RNN parametrization vs. linear and Ornstein-Uhlenbeck (quadratic) parametric modelsquadratic potential flow · Quadratic flow d=2,10,50held-out Wasserstein distanceNo clear effect
RNN parametrization vs. local and parametric baselinessingle-cell RNA-seq D4 prediction · top 5 and 10 differential genesheld-out Wasserstein distanceHelped
increasing number of genes from 10 to higher dimensionsRNN model on scRNA-seq · gene expression D4 predictionprediction accuracyHurt

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