3 problems

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Donoho et al.'s conjecture on TV denoising and the phase transition of total variation minimization
Let $\mathsf{P}_{\rm TV}$ denote the total variation minimization recovery problem discussed in the paper, and let the asymptotic minimax mean square error (MSE) of a TV denoiser a…
Conjectureopencompressed-sensing phase-transitions total-variation-minimizationarXiv posted 2 days ago
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Proportional recoverable sparsity conjecture for multidimensional total variation minimization
Proportional recoverable sparsity conjecture. For multidimensional signals, when the number of measurements is proportional to $N^d$ , the recoverable sparsity of the gradient suppo…
Conjectureopencompressed-sensing signal-recovery total-variation-minimizationarXiv posted 2 days ago
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Conjecture that non-component measurements are artifacts of the proof
The paper considers a total variation minimization recovery theorem whose measurements are divided among component operators, including the component operator ${\cal A}$ . Measureme…
Conjectureopencompressed-sensing total-variation-minimizationarXiv posted 2 days ago

Donoho et al.'s conjecture on TV denoising and the phase transition of total variation minimization