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Overcoming Limitations of Mixture Density Networks: A Sampling and Fitting Framework for Multimodal Future Prediction

CVPR 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance · 198 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the two-stage Evolving WTA sampling and mixture-fitting framework instead of MDNMultimodal future prediction · CPIEMD: 1.83 -> 1.57Helped
Use the two-stage Evolving WTA sampling and mixture-fitting framework instead of MDNMultimodal future prediction · Stanford Drone DatasetNLL: 9.71 -> 9.33Helped
Use Evolving WTA instead of WTA or Relaxed WTA for hypothesis generationCPI hypothesis sampling · CPI hypothesesEMD: 3.94 / 2.82 -> 1.89Helped
Use distribution hypotheses with NLL and include their uncertainty in mixture fitting rather than point hypotheses with Euclidean loss (ablation)Sampling-fitting framework · CPIEMD: 1.70 -> 1.57Helped
Use distribution hypotheses with NLL and include their uncertainty in mixture fitting rather than point hypotheses with Euclidean loss (ablation)Sampling-fitting framework · Stanford Drone DatasetNLL: 9.56 -> 9.33Helped
Add one history frame rather than using no history (ablation)EWTAD-MDF · Stanford Drone DatasetNLL: 15.30 -> 9.13Helped
Add a second history frame rather than using one (ablation)EWTAD-MDF · CPIEMD: 2.13 -> 1.63Helped
Add a second history frame rather than using one (ablation)EWTAD-MDF · Stanford Drone DatasetNLL: 9.13 -> 9.30Hurt
Predict farther into the future (ablation)EWTAD-MDF · CPIEMD: 1.30 -> 1.74 -> 1.84Hurt
Predict farther into the future (ablation)EWTAD-MDF · Stanford Drone DatasetNLL: 6.94 -> 8.46 -> 12.21Hurt
Increase the number of hypotheses from 20 to 40 (ablation)EWTAD-MDF · CPIEMD: 1.63 -> 1.57Helped
Increase the number of hypotheses from 40 to 80 (ablation)EWTAD-MDF · CPIEMD: 1.57 -> 1.65Hurt

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