On the achievability of the degrees of freedom for the three-cell MIMO interfering broadcast channel with minimum spatial dimensions
Bibliographic record
Abstract
We consider the three-cell MIMO interfering broadcast channel (IBC) with K users assigned to each base station. Each base station has M = 2K + 1 antennas and each user has N antennas. We propose two different linear precoding schemes to achieve the optimal degrees of freedom (DoF) for the case in which each user receives only one data stream. The first scheme finds the transmit precoders and receive beamformers using a sequence of closed-form steps that is initiated by the solution of an optimization problem on the Grassmannian manifold. One advantage of this scheme is the ability to achieve the optimal DoF with the minimum possible number of transmit and receive antennas. In the second scheme, the users in one cell will have additional K - 1 antennas, but we have been able a closed-form solution for each step of the generation of the transmit precoders and receive beamformers.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.014 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".