5 problems
Dimension-one SDP threshold conjecture. The recovery threshold is conjectured to be
Recovery-threshold conjecture. If , then Problem recovers the planted clusters with high probability.
Averaging conjecture. Averaging the iterates enables a step size , and this also helps skip bad local minima.
Exact-recovery conjecture. The Peng–Wei relaxation achieves exact recovery with high probability if
Let denote the smallest value for which implies that minimizing the -means objective recovers planted clusters under the…