arXiv Machine Learning By Pinli Wang, Yue He, Peng Cui

From Objectives to What Models Learn: A Landau Theory of Invariant Learning

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arXiv:2608. 09396v1 Announce Type: new Abstract: Invariant learning seeks representations that remain predictive across environments, yet the behavior of its objectives along the regularization path is often opaque.

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From Objectives to What Models Learn: A Landau Theory of Invariant Learning

Invariant learning seeks representations that remain predictive across environments, yet the behavior of its objectives along the regularization path is often opaque. We address this objective-behavior gap by viewing representation learning as multimode magnetization and deriving, from concrete invariant-learning objectives, a Landau-type effective free energy whose low-order coefficients form objective signatures and induce distinct regularization phenotypes.