5 problems
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Conjecture on the unbounded uMAT–MAT DoF gap for any number of cells
uMAT–MAT gap conjecture. For the same scenario, the DoF gap defined above holds for any number of cells .
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Conjecture on the scaling of the uMAT DoF gap for arbitrarily many cells
uMAT scaling conjecture. Based on the experimental results, the same asymptotic DoF-gap behavior is valid for an arbitrary number of cells .
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Generalized entropy-ratio conjecture for the delayed-CSIT X-channel
Consider the 2-transmitter 2-receiver network setting of the paper's linear-subspace-ratio lemma. Let , let be arbitrary encoding functions…
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Conjecture on the total degrees of freedom of the delayed-CSIT X-channel
The -channel has two transmitters and two receivers, with channel-state information at the transmitters available only with delay. Its total degrees of freedom are the sum rate…
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Constant DoF conjecture for delayed-CSIT interference and X channels
Let the -user interference channel and the X channel operate with delayed channel-state information at the transmitters (delayed CSIT), and let denote the number…