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Papers/BRITS: Bidirectional Recurrent Imputation for Time Series

BRITS: Bidirectional Recurrent Imputation for Time Series

Wei Cao, Dong Wang, Jian Li, Hao Zhou, Lei LI, Yitan Li

2018-05-27NeurIPS 2018 12ImputationregressionMultivariate Time Series ImputationTraffic Data ImputationGeneral ClassificationTime SeriesMultivariate Time Series ForecastingTime Series Analysis
PaperPDFCodeCodeCodeCodeCode(official)

Abstract

Time series are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their class labels? Existing imputation methods often impose strong assumptions of the underlying data generating process, such as linear dynamics in the state space. In this paper, we propose BRITS, a novel method based on recurrent neural networks for missing value imputation in time series data. Our proposed method directly learns the missing values in a bidirectional recurrent dynamical system, without any specific assumption. The imputed values are treated as variables of RNN graph and can be effectively updated during the backpropagation.BRITS has three advantages: (a) it can handle multiple correlated missing values in time series; (b) it generalizes to time series with nonlinear dynamics underlying; (c) it provides a data-driven imputation procedure and applies to general settings with missing data.We evaluate our model on three real-world datasets, including an air quality dataset, a health-care data, and a localization data for human activity. Experiments show that our model outperforms the state-of-the-art methods in both imputation and classification/regression accuracies.

Results

TaskDatasetMetricValueModel
ImputationUCI localization dataMAE (10% missing)0.219BRITS
ImputationPhysioNet Challenge 2012MAE (10% of data as GT)0.281BRITS
ImputationPEMS-SFL2 Loss (10^-4)4.51BRITS (SingleRes)
ImputationBasketball Players MovementOOB Rate (10^−3) 3.874BRITS (SingleRes)
ImputationBasketball Players MovementPath Difference0.571BRITS (SingleRes)
ImputationBasketball Players MovementPath Length0.702BRITS (SingleRes)
ImputationBasketball Players MovementPlayer Distance 0.417BRITS (SingleRes)
ImputationBasketball Players MovementStep Change (10^−3)4.811BRITS (SingleRes)
ImputationBeijing Multi-Site Air-Quality DatasetMAE (PM2.5)11.56BRITS
Time Series ForecastingUSHCN-DailyMSE0.53BRITS
Traffic PredictionMETR-LA Point MissingMAE2.34BRITS
Traffic PredictionPEMS-BAY Point MissingMAE1.47BRITS
Feature EngineeringUCI localization dataMAE (10% missing)0.219BRITS
Feature EngineeringPhysioNet Challenge 2012MAE (10% of data as GT)0.281BRITS
Feature EngineeringPEMS-SFL2 Loss (10^-4)4.51BRITS (SingleRes)
Feature EngineeringBasketball Players MovementOOB Rate (10^−3) 3.874BRITS (SingleRes)
Feature EngineeringBasketball Players MovementPath Difference0.571BRITS (SingleRes)
Feature EngineeringBasketball Players MovementPath Length0.702BRITS (SingleRes)
Feature EngineeringBasketball Players MovementPlayer Distance 0.417BRITS (SingleRes)
Feature EngineeringBasketball Players MovementStep Change (10^−3)4.811BRITS (SingleRes)
Feature EngineeringBeijing Multi-Site Air-Quality DatasetMAE (PM2.5)11.56BRITS
Time Series AnalysisUSHCN-DailyMSE0.53BRITS
Multivariate Time Series ForecastingUSHCN-DailyMSE0.53BRITS

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