3 problems
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The random geometric graph detection threshold conjecture
Let be the latent dimension, the number of vertices, and the average edge density of a random geometric graph; let denote the binary entropy function. The associ…
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Conjecture on the limited expressiveness of denoising layers at high SNR
The denoising layers are used in an interference-limited, high-SNR region with offline training. Expressiveness conjecture. The denoising layers are insufficiently expressive in th…
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Conjecture that the set of optimal transforms is not dense
Let be the set of admissible linear transforms and let be the set of optimal linear transforms, in the sense of minimizing the expected C…