3 problems
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Lower-bound conjecture for singular-value thresholding of anti-Monge matrices
Let , let be the worst-case anti-Monge matrix constructed above, and observe , where the entries of are independent and dist…
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Tightness conjecture for singular-value thresholding on a worst-case anti-Monge matrix
Let , and let be the anti-Monge matrix constructed in the preceding proof, with and with low-rank approximation error of ord…
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Unrestricted least-squares rate conjecture for anti-Monge matrices
Let y=\theta^*(\boldsymbol{[?])+[?] be observed under the latent-permutation anti-Monge model, and let denote the unrestricted anti-Monge parameter space. The…