Papers › Latent ODEs for Irregularly-Sampled Time Series

Latent ODEs for Irregularly-Sampled Time Series

8 Jul 2019arXiv:1907.03907archive 2025-07-28

Yulia Rubanova, Ricky T. Q. Chen, David Duvenaud

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential equations (ODEs), a model we call ODE-RNNs. Furthermore, we use ODE-RNNs to replace the recognition network of the recently-proposed Latent ODE model. Both ODE-RNNs and Latent ODEs can naturally handle arbitrary time gaps between observations, and can explicitly model the probability of observation times using Poisson processes. We show experimentally that these ODE-based models outperform their RNN-based counterparts on irregularly-sampled data.

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Code

Syntology Ran 4 of 8 code samples harvested from 3 repositories linked to this paper; 4 have no recorded run. Of those that ran: 3 ran · our draft was wrong; 1 ran with no contract checked.

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YuliaRubanova/latent_ode officialmentioned on GitHubpytorchMIT report
BorealisAI/continuous-time-flow-process mentioned on GitHubpytorch report
HerreraKrachTeichmann/ControlledODERNN mentioned on GitHubpytorchMIT report
HerreraKrachTeichmann/NJODE mentioned on GitHubpytorch report
Ldhlwh/Latent-ODE mentioned on GitHubpytorch report
ashysheya/ODE-RNN mentioned on GitHubpytorch report
gkrudah/ODEnet mentioned on GitHubpytorchMIT report
jacobjinkelly/easy-neural-ode mentioned on GitHubjax report
patrick-kidger/torchcde mentioned on GitHubpytorch report
westny/neural-stability mentioned on GitHubpytorchApache-2.0 report

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8 samples harvested; 4 ran; 0 honoured the contract we drafted; 4 have no recorded run. Read from Syntology's graph 2026-09-24; that is when this build read the record, not when the samples ran.

3ran · our draft was wrong
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4unverified

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get_data_min_max YuliaRubanova/latent_ode/physionet.py official repository ran MIT (permissive) · 97cefd1ecd9fcbca · report
assign_value_or_sample YuliaRubanova/latent_ode/generate_timeseries.py official repository unverified MIT (permissive) · 4128b3f4ab1a5a81 · report
generate_periodic YuliaRubanova/latent_ode/generate_timeseries.py official repository unverified MIT (permissive) · dd0fe112d9664002 · report
get_next_val YuliaRubanova/latent_ode/generate_timeseries.py official repository unverified MIT (permissive) · 14d893a51ceea2f1 · report
sample_rademacher_like BorealisAI/continuous-time-flow-process/lib/layers/odefunc.py community (archive-listed) ran · our draft was wrong fingerprinted licence not identified · pointer only · 7b0725913f7abbbb · report
create_classifier gkrudah/ODEnet/lib/base_models.py community (archive-listed) ran · our draft was wrong MIT (permissive) · fc9a64735be0911c · report
divergence_bf BorealisAI/continuous-time-flow-process/lib/layers/odefunc.py community (archive-listed) ran · our draft was wrong licence not identified · pointer only · b03151f58b6fe757 · report
divergence_approx BorealisAI/continuous-time-flow-process/lib/layers/odefunc.py community (archive-listed) unverified licence not identified · pointer only · f3c69a82cb618229 · report

Tasks

Multivariate Time Series ForecastingMultivariate Time Series ImputationTime SeriesTime Series AnalysisTime Series Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Multivariate Time Series Forecasting MuJoCo Latent ODE (ODE enc) MSE (10^-2, 50% missing) 1.258 #1 of 6 Archive leaderboard report
Multivariate Time Series Forecasting MuJoCo ODE-RNN MSE (10^-2, 50% missing) 26.463 #5 of 6 Archive leaderboard report
Multivariate Time Series Forecasting PhysioNet Challenge 2012 Latent ODE + Poisson MSE stdev 0.05 #1 of 4 Archive leaderboard report
Multivariate Time Series Forecasting PhysioNet Challenge 2012 Latent ODE + Poisson mse (10^-3) 2.208 #1 of 4 Archive leaderboard report
Multivariate Time Series Forecasting PhysioNet Challenge 2012 Latent ODE (ODE enc) MSE stdev 0.029 #2 of 4 Archive leaderboard report
Multivariate Time Series Forecasting PhysioNet Challenge 2012 Latent ODE (ODE enc) mse (10^-3) 2.231 #2 of 4 Archive leaderboard report
Multivariate Time Series Imputation MuJoCo Latent ODE (ODE enc) MSE (10^2, 50% missing) 0.285 #1 of 6 Archive leaderboard report
Multivariate Time Series Imputation MuJoCo ODE-RNN MSE (10^2, 50% missing) 0.665 #3 of 6 Archive leaderboard report
Multivariate Time Series Imputation PhysioNet Challenge 2012 Latent ODE (ODE enc) mse (10^-3) 2.118 #6 of 9 Archive leaderboard report
Multivariate Time Series Imputation PhysioNet Challenge 2012 Latent ODE + Poisson mse (10^-3) 2.789 #7 of 9 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 ODE-RNN AUC 83.3% #10 of 28 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 ODE-RNN AUC Stdev 0.9% #10 of 28 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 Latent ODE (ODE enc AUC 82.9% #11 of 28 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 Latent ODE (ODE enc AUC Stdev 0.4% #11 of 28 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 Latent ODE + Poisson AUC 82.6% #12 of 28 Archive leaderboard report
Time Series Classification PhysioNet Challenge 2012 Latent ODE + Poisson AUC Stdev 0.7% #12 of 28 Archive leaderboard report

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