3 problems
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Optimality of the rate for PINES
Let denote the polynomial-time procedure discussed in the paper, and consider the latent seriation problem in which its achieved rate is . PINES rate conj…
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The computational-statistical gap conjecture for general Toeplitz–Robinson seriation
Let be a general Toeplitz–Robinson matrix in the seriation problem, where the goal is to recover its latent ordering from noisy observations. Computational-statistical gap conj…
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Structural constraints on admissible seriation solutions
Structural constraint conjecture. The structure of the seriation problem imposes constraints on the number of admissible solutions: the admissible permutations are one half of thos…