Generalized degrees of freedom of the symmetric gaussian interference channel with partial unidirectional transmitter cooperation
Bibliographic record
Abstract
We consider a two-user symmetric gaussian interference channel (IC), in which one encoder is connected to the other by a unidirectional orthogonal cooperative link with specific capacity. In this setup, we employ a simplified Han-Kobayashi scheme along with cooperative communication. We characterize the generalized degrees of freedom of the channel for interference-limited regimes by comparing the achievable sum-rate with some existing upper bounds and also with a new upper bound, introduced in this paper. In particular, we express the number of degrees of freedom available for communication as a function of the interference-to-noise ratio and the multiplexing gain of the cooperative link. In addition, we give the sum-capacity of the channel for the strong interference regime when the capacity of the cooperative link is large enough in terms of the channel parameters. Finally, we show that for noise-limited regimes, treating interference as noise and not using the cooperative link, offer a sum-rate that is at most one bit less than the sum-capacity of the channel.
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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 | 0.000 |
| 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".