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Paper · arXiv

Learning to Detect Symbolic Failure: Machine Learning and the Limits of Black-Scholes

We treat options pricing as a representation problem: can machine learning detect systematic deviations from Black-Scholes using 2.6M real option contracts? We compare three regimes: learned abstract embeddings (Kernel PCA), preserved domain structure (tree-based ensembles), and neural network validation. Tree-based methods outperform kernel dimensionality reduction by 21.5 percentage points (93.8% vs 72.3%), and domain-expert features (Greeks, moneyness) outperform engineered features. NN-based and BS-based deviation labels agree 99.9974% of the time, suggesting deviations reflect market structure rather than model artifact. We conclude that in domains with expert-designed symbolic featu...

AuthorsJuli Huang, Jake Cheng, Rupert Lu
Primary categorycs.LG
Published24 August 2026
Last updated at source24 August 2026
cs.LGcs.CE
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