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# System prepended metadata

title: MMR++ conjecture

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# MMR++ conjecture
* $\Pi:$ map from d-dimension to $d'=\log k$ dimension with subgaussian property

for each data set $X$, 
    $$\Pr_\Pi[\forall C, cost_{d'}(\Pi(X), \Pi(C))\leq(1+\epsilon)cost_{d}(X,C)] \geq \text{constant}.$$
    
