Two transductive estimators, a debiased-Lasso-style rule and an orthogonal-moment rule, achieve dimension-free O(1/n) prediction risk for a known test point, improving on ridge and Lasso.
Accordingly, for sufficiently largep, we ‖ ˆβL(λ)− β0‖1≤K1s √ logp n with probability at least 1−O(exp(−cn))−O(p−γ/2)
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Single Point Transductive Prediction
Two transductive estimators, a debiased-Lasso-style rule and an orthogonal-moment rule, achieve dimension-free O(1/n) prediction risk for a known test point, improving on ridge and Lasso.