3 problems

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The embedding index condition for RKHS with polynomial eigenvalue decay
Embedding index conjecture. This assumption should hold for a broad class of RKHS with eigenvalue decay rate $b2>1$ .
Conjectureopeneigenvalue-decay kernel-gradient-flow reproducing-kernel-hilbert-spacesarXiv posted 2 days ago
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Polylogarithmic minimax-rate conjecture for algebraically decaying eigenvalues
Let the covariance eigenvalues of the input distribution decay algebraically, and let $\cM_m(\cF;L^p_\mu)$ denote the minimax risk after $m$ noisy input-output samples for the rele…
Conjectureopeneigenvalue-decay minimax-risk operator-learningarXiv posted 2 days ago
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Conjecture on the optimality of the eigenvalue-decay condition for subspace estimation
Subspace-estimation condition conjecture. The condition
Conjectureopeneigenvalue-decay random-graphs spectral-estimationarXiv posted 2 days ago

The embedding index condition for RKHS with polynomial eigenvalue decay