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State evolution for gradient descent beyond the mean-field scaling
Sourced from the work of Qiyang Han, Xiaocong Xu
§ Problem Statement
Setup
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§ Discussion
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§ Significance & Implications
§ Known Partial Results
§ References
[1]
Gradient descent inference in empirical risk minimization
Qiyang Han, Xiaocong Xu (2024)
Annals of Statistics (to appear)
📍 Section 2.3 (immediately after Theorem 2.3, discussion around Eqs. (2.14)–(2.15), ending with “the picture will be markedly different in an ‘approximate low dimensional regime’”); related setup limitation is in Section 2.1, Assumption A1 (“proportional/mean-field regime … of our main interest”).
Source paper where this problem appears.