Sum rate maximization in multi-operator two-way relay networks with a MIMO AF relay via POTDC
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Bibliographic record
Abstract
We address the beamforming problem for maximizing the sum rate of a multi-operator two-way relay (TWR) network subject to the constraint on the total relay transmit power. This scenario is also known as relay sharing for multi-way relaying or TWR for multiple operators. The relay is assumed to be equipped with multiple antennas, and it uses the amplify-and-forward relaying strategy. It is shown that the corresponding optimization problem can be represented as a difference of convex functions (DC) programming problem which is NP-hard in general. Nevertheless, we develop an efficient polynomial time algorithm to solve the problem approximately. The performance comparison of the proposed polynomial time DC (POTDC) inspired algorithm to the existing state-of-the-art algorithms demonstrate that the proposed algorithm outperforms the existing algorithms especially in the case of non-symmetric networks.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 it