Joint User Grouping, Sparse Beamforming, and Subcarrier Allocation for D2D Underlaid Cache-Enabled C-RANs With Rate Splitting
Bibliographic record
Abstract
We propose a Rate Splitting (RS) transmit scheme for Device-to-Device (D2D) underlaid Cache-enabled Cloud Radio Access Networks (C <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^2$</tex-math></inline-formula> -RANs). To this end, we jointly design Cellular User (CU) grouping, dynamic Remote Radio Head (RRH) clustering, beamforming, RS ratio, and subcarrier allocation to maximize the sum-rate and ensure transmit power and fronthaul cost constraints. However, the formulated problem is discrete, non-smooth, and non-convex. We thus decouple it into three subproblems, namely - (1) CU grouping, (2) D2D subcarrier allocation, and (3) joint sparse beamforming, RS ratio, and power control. We then develop a low-complexity greedy searching algorithm and a fairness-ensuring accelerated bisection searching algorithm via graph theory for the first subproblem. For the second subproblem, we use a many-to-one matching game with peer effect. We adopt the Gale-Sharply algorithm and swap operations to reach a stable matching state and propose a Two-sided Stable Subcarrier Allocation ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\text{TS}^2$</tex-math></inline-formula> A) algorithm. For the third subproblem, we develop a Quadratic Transform-based Two-Tier Alternating ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\text{QT}^3$</tex-math></inline-formula> A) algorithm. It constructs a series of accurate surrogate functions for the objective function and constraints via a Quadratic Transform (QT) technique. We then recast it as a two-tier alternating problem. We tackle the outer and inner tiers with closed-form expressions and the convex framework, respectively. By integrating these algorithms, the overall algorithm can be proved to converge to a stationary point. Simulation results show that it achieves considerable performance gains over several benchmark schemes.
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How this classification was reachedexpand
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 | 0.000 | 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 | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".