For high-dimensional ridge regression, spurious correlations concentrate on a deterministic function of the data covariance and ridge penalty, creating a provable trade-off with in-distribution test loss.
High-dimensional asymptotics of feature learning: How one gradient step improves the representation
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Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
For high-dimensional ridge regression, spurious correlations concentrate on a deterministic function of the data covariance and ridge penalty, creating a provable trade-off with in-distribution test loss.