Capacity Bounds for Broadcast Channels with Bidirectional Conferencing Decoders
Bibliographic record
Abstract
The two-user broadcast channel (BC) with decoders connected by cooperative links of given capacities (known as conferencing decoders) is considered. A novel outer bound on the capacity region is established. This outer bound is derived using multiple applications of the Csiszár-Körner identity. A new achievable rate region for the channel is also presented which is derived by applying Marton’s coding as the transmission scheme, and quantize-bin-and-forward at one receiver and decode-and-forward at the other receiver as cooperative strategy. It is proved that the outer bound coincides with the achievable region for a class of semi-deterministic BCs with degraded message sets. This is the first capacity result for the two-user BC with bidirectional conferencing decoders. This result demonstrates that a one-round cooperation scheme is sufficient to achieve capacity for this class of semi-deterministic BCs with degraded message set. A capacity result is also derived for a new class of more capable semi-deterministic BCs with both common and private messages and one-sided conferencing.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.003 | 0.002 |
| Open science | 0.001 | 0.003 |
| Research integrity | 0.001 | 0.002 |
| 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".