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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

Structured Inference Networks for Nonlinear State Space Models

AAAI 2017 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Infinite-width networks as Gaussian processes · 355 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add edges from x_{t-1} to z_t and x_tDMM · Polyphonic music: JSB, Nottingham, Piano, Musedatatest negative log-likelihood: 6.388 -> 6.288; 2.770 -> 2.679; 7.835 -> 7.591; 6.831 -> 6.356Helped
Use future observations and the previous latent state in structured inference (DKS) rather than past-only structured inference (ablation)DMM inference network · JSBtest negative log-likelihood: 7.020 -> 6.605Helped
Use future observations and the previous latent state in structured inference (DKS) rather than past-only structured inference (ablation)DMM inference network · Nottinghamtest negative log-likelihood: 3.446 -> 3.136Helped
Use future observations and the previous latent state in structured inference (DKS) rather than past-only structured inference (ablation)DMM inference network · Pianotest negative log-likelihood: 9.375 -> 8.471Helped
Use future observations and the previous latent state in structured inference (DKS) rather than past-only structured inference (ablation)DMM inference network · Musedatatest negative log-likelihood: 8.301 -> 7.280Helped
Use DKS instead of structured inference conditioned on both past and future observations (ablation)DMM inference network · JSBtest negative log-likelihood: 6.632 -> 6.605Helped
Use DKS instead of structured inference conditioned on both past and future observations (ablation)DMM inference network · Nottinghamtest negative log-likelihood: 3.251 -> 3.136Helped
Use DKS instead of structured inference conditioned on both past and future observations (ablation)DMM inference network · Pianotest negative log-likelihood: 8.406 -> 8.471Hurt
Use DKS instead of structured inference conditioned on both past and future observations (ablation)DMM inference network · Musedatatest negative log-likelihood: 7.127 -> 7.280Hurt
Add dependence on the previous latent state to mean-field inference using future observations (ablation)DMM inference network · JSBtest negative log-likelihood: 6.701 -> 6.605Helped
Add dependence on the previous latent state to mean-field inference using future observations (ablation)DMM inference network · Nottinghamtest negative log-likelihood: 3.273 -> 3.136Helped
Add dependence on the previous latent state to mean-field inference using future observations (ablation)DMM inference network · Pianotest negative log-likelihood: 9.188 -> 8.471Helped

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