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Sharp dynamic emergence thresholds for XOR/multilayer GMM classification
Sourced from the work of Gerard Ben Arous, Reza Gheissari, Jiaoyang Huang, Aukosh Jagannath
§ Problem Statement
§ Discussion
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§ Significance & Implications
§ Known Partial Results
§ References
[1]
Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions
Gerard Ben Arous, Reza Gheissari, Jiaoyang Huang, Aukosh Jagannath (2025)
Annals of Statistics (to appear)
📍 Section 1.5.1 (Multi-layer GMM classification), paragraph immediately after Corollary 1.13 (Introduction): “We believe it would be of much interest to understand the sharp SNR thresholds and points at which effective outliers emerge …”
Source paper where this problem appears.