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Temporal Regularized Matrix Factorization for High-dimensional Time Series Prediction

NeurIPS 2016 · Time series › Causal and generative time series · approach: Robust forecasting and evaluation · 320 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
TRMF-AR instead of TCF (simple temporal regularizer)matrix factorization · synthetic forecastingND: 1.000 -> 0.373Helped
TRMF-AR instead of TCFmatrix factorization · traffic forecastingND: 0.624 -> 0.187Helped
TRMF-AR instead of SVD-AR(1)two-stage SVD plus AR · traffic forecastingND: 0.555 -> 0.187Helped
TRMF-AR instead of DLMstate-space model · walmart-1 forecasting with missing valuesND: 0.602 -> 0.533Helped
TRMF-AR instead of Meanbaseline predictor · walmart-2 forecastingND: 1.097 -> 0.432Helped
TRMF-AR instead of TCFimputation · synthetic, 20% observedND: 0.713 -> 0.467Helped
TRMF-AR instead of TCFimputation · synthetic, 50% observedND: 0.289 -> 0.201Helped
TRMF-AR instead of TCFimputation · electricity, 20% observedND: 0.255 -> 0.245No clear effect
TRMF-AR instead of DLMimputation · electricity, 50% observedND: 0.158 -> 0.223Hurt
increase observed fraction from 20% to 50%TRMF-AR imputation · syntheticND: 0.467 -> 0.201Helped
increase observed fraction from 20% to 50%TRMF-AR imputation · electricityND: 0.245 -> 0.223Helped
use TRMF-AR rather than AR/DLM at n=50,000 seriesTRMF-AR · scalabilityruntime: 2 orders of magnitude fasterHelped

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