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Contextual Reserve Price Optimization in Auctions via Mixed Integer Programming

NeurIPS 2020 · Learning theory and algorithms › Combinatorial and search optimization · approach: Predict-then-optimize learning · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use exact MIP optimization instead of DClinear contextual reserve-price optimization · Synthetic data, baseline/high-noise/low-correlation/low-margin, train and testaverage reward: 0.776 -> 0.962 (baseline train); 0.776 -> 0.924 (baseline test); 0.752 -> 0.907 (high-noise train); 0.750 -> 0.858 (highHelped
Use LP relaxation instead of DClinear contextual reserve-price optimization · Synthetic dataaverage rewardMixed
Terminate MIP at the root node rather than continue the MIP searchMIP · Synthetic baselineaverage reward: 0.962 pm{0.006} vs 0.962 pm{0.006} (train); 0.924 pm{0.003} vs 0.923 pm{0.002} (test)No clear effect
Use exact MIP optimization instead of DClinear contextual reserve-price optimization · eBay sports memorabilia, 2000 training samples, train and testaverage reward: 0.704 -> 0.726 (train); 0.709 -> 0.714 (test)Helped
Use exact MIP optimization instead of DClinear contextual reserve-price optimization · eBay sports memorabilia, 5000 training samples, train and testaverage reward: 0.704 -> 0.731 (train); 0.704 -> 0.725 (test)Helped
Increase eBay training sample size from 2000 to 5000MIP · eBay sports memorabilia, train and testaverage reward: 0.726 -> 0.731 (train); 0.714 -> 0.725 (test)Helped
Use LP relaxation instead of exact MIPlinear contextual reserve-price optimization · Worst-case constructed instances as sample size growsoptimal reward bound: 1/n; at least 1Hurt

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