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Selling Data To a Machine Learner: Pricing via Costly Signaling

ICML 2022 · Learning theory and algorithms › Submodular and game algorithms · approach: Learned auction design

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Sell entire dataset directly without sharing any data (no costly signaling) under multiplicatively separable valuation u(r,b)=f(b)h(r)homogeneous data pricing · theoretical analysis (homogeneous data)seller revenueNo clear effect
Share a subset of data for costly signaling before pricing (versus selling entire dataset directly)homogeneous data pricing with non-separable valuation · Example 3.3 (homogeneous data)seller revenueMixed
Use robust mechanism with prior mismatch epsilon between seller and learner priorshomogeneous data pricing · theoretical analysis (robust mechanism)revenue lower bound relative to OPT: at least OPT - 4ϵ/(1-ϵ²)·ūNo clear effect
Cardinality constraint on shared features with costly signaling for heterogeneous dataheterogeneous data pricing · theoretical (NP-hardness)approximation ratio of optimal mechanismHurt
Sell entire dataset directly without sharing features (simple algorithm) for heterogeneous dataheterogeneous data pricing · theoretical (approximation guarantee)fraction of optimal revenue guaranteed: at least 1/k OPT, k = number of private typesNo clear effect
Greedy feature selection maximizing revenue increase for heterogeneous dataheterogeneous data pricing · theoretical (Lemma H.2)revenue increase approximationHurt

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