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

End-to-End Learning for Stochastic Optimization: A Bayesian Perspective

ICML 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Bayesian view of meta-learning · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
train the decision map directly on task loss using constraint-aware layers instead of predict-then-optimize regressionEconomic dispatch · Myopic observation, 10 minute frequencyaverage test cost: 281.436(1.652) -> 68.251(3.73)Helped
use myopic context rather than incomplete myopic contextE2E-CAL · Economic dispatch, 10 minute frequencyaverage test cost: 72.616(0.003) -> 68.251(3.73)Helped
use historical context rather than myopic contextE2E-CAL · Economic dispatch, 30 minute frequencyaverage test cost: 66.566(3.068) -> 77.06(5.585)Hurt
use optimization layers with the Softplus prediction outputEconomic dispatch · Myopic observation, 10 minute frequencyaverage test cost: 68.251(3.73) -> 71.33(1.87)Hurt
replace the Softplus output activation with ReLU (ablation)E2E-OPL · Economic dispatch, Myopic observation, 10 minute frequencyaverage test cost: 71.326(1.872) -> 72.601(0.0)Hurt
use Lag-1 instead of E2E-CAL with myopic informationEconomic dispatch · 10 minute frequencyaverage test cost: 68.251(3.73) -> 64.959Helped
use Lag-1 instead of E2E-CAL with myopic informationEconomic dispatch · 30 minute frequencyaverage test cost: 66.566(3.068) -> 67.705Hurt
use standard E2E training with optimization layersEconomic dispatch · Myopic, Myopic Incomp., and Historical observationsaverage test costMixed
use a Bayesian decision map trained under a prior that matches deploymentBayesian newsvendor strategies · Newsvendorout-of-sample profitHelped
use a Bayesian strategy under a misspecified priorBAY and NN_BAY · Newsvendor with distribution shiftout-of-sample profitHurt
use ERM rather than the other newsvendor strategiesNewsvendor · Out-of-sample profit lower tailrisk of negative profit: almost 10 times higherHurt

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