4 problems
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Uniform singular-vector bound conjecture for powers of the difference matrix
Singular-vector bound conjecture. There exists a constant such that, for any , the singular vectors of satisfy
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Effective oversampling conjecture for Sigma Delta quantization in compressed sensing
Sigma Delta effective oversampling conjecture. In compressed sensing, the error of Sigma Delta quantization should decay with the effective oversampling rate, rather than only with…
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Fixed-state conjecture for quiet sigma-delta quantization under oscillatory input
Let denote the discrete output sequence in the second-order recursion, and suppose the input has zero mean, sufficiently small amplitude, and sufficiently high…
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Global attractivity conjecture for four-level asymmetric maps
Global attractivity conjecture. The origin is a globally attracting fixed point for this four-level asymmetric map. This would extend the class of asymmetric piecewise affine maps…