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Modeling Continuous Stochastic Processes with Dynamic Normalizing Flows

NeurIPS 2020 · Time series › Causal and generative time series · approach: Diffusion models for time series · 18 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use continuous Wiener base process instead of i.i.d. Gaussian base (ablation)CTFP · GBM lambda_test=20test NLL per observation: 4.094 -> 1.929Helped
use Wiener base process instead of i.i.d. Gaussian (ablation)Latent CTFP · Mujoco-Hoppertest NLL per observation: 17.397 -> -31.397Helped
use Wiener base process instead of i.i.d. Gaussian (ablation)CTFP · Mujoco-Hoppertest NLL per observation: 22.023 -> -16.249Helped
add latent variable to CTFP (ablation)CTFP · Mujoco-Hoppertest NLL per observation: -16.249 -> -31.397Helped
add latent variable to CTFP (ablation)CTFP · BAQDtest NLL per observation: -2.361 -> -6.894Helped
add latent variable to CTFP (ablation)CTFP · Mixture of OUstest NLL per observation: 1.408 -> 1.392Helped
add latent variable to CTFP (ablation)CTFP · GBM lambda_test=2test NLL per observation: 3.107 -> 3.107No clear effect
replace continuous normalizing flow (ANODE) with RealNVP, no latent (ablation)CTFP · Mujoco-Hoppertest NLL per observation: -16.249 -> -23.061Helped
replace continuous normalizing flow with RealNVP, with latent (ablation)Latent CTFP · Mujoco-Hoppertest NLL per observation: -31.397 -> -23.602Hurt
use CTFP instead of latent ODE or VRNN on denser test gridVRNN · GBM lambda_test=20test NLL per observation: 3.492 -> 1.929Helped
use latent CTFP instead of VRNNVRNN · Mujoco-Hoppertest NLL per observation: 9.113 -> -31.397Helped
use latent CTFP instead of VRNNVRNN · PTBDBtest NLL per observation: -1.999 -> -1.999No clear effect

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