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High-dimensional multivariate forecasting with low-rank Gaussian Copula Processes

NeurIPS 2019 · Time series › Causal and generative time series · approach: Probabilistic and conformal forecasting · 38 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use copula marginal transform instead of mean-scaling (ablation)GP (low-rank) · average of six datasetsCRPS-Sum ratio: 3.4 -> 1.0Helped
use copula marginal transform instead of no transformation (ablation)GP (low-rank) · average of six datasetsCRPS-Sum ratio: 9.5 -> 1.0Helped
use copula instead of mean-scaling (ablation)GP (low-rank) · ElectricityCRPS-Sum: 0.022+/-0.000 -> 0.024+/-0.002No clear effect
use copula instead of mean-scaling (ablation)GP (low-rank) · WikipediaCRPS-Sum: 1.483+/-1.034 -> 0.086+/-0.004Helped
unroll LSTM per series with shared parameters (GP) instead of single vector LSTM, both with copula and low-rank (ablation)Vec-LSTM-lowrank-Copula · average of six datasetsCRPS-Sum ratio: 1.7 -> 1.0Helped
GP parametrization instead of Vec-LSTM (ablation)low-rank copula model · Trafficnumber of parameters: 1.1M -> 44KHelped
use low-rank instead of full-rank output distribution with mean-scaling (ablation)Vec-LSTM · average of six datasetsCRPS-Sum ratio: 37.6 -> 1.7Helped

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