Lower bounds on average-case delay for video-on-demand broadcast protocols
Why this work is in the frame
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Bibliographic record
Abstract
Video-on-demand broadcast protocols are commonly used to deliver video content to a large uncoordinated set of consumers. Since broadcast protocols are not attuned to individual user requests, some delay in service is unavoidable. The worst-case delay, expressed as a function of the available bandwidth, has been well studied; matching upper and lower bounds have been established in a very general setting. In this paper we turn our attention to average-case delay. We establish asymptotically tight lower bounds on average-case delay in the situation where receiver and sender bandwidths are equal. It follows from our results that existing worst-case-optimal broadcast protocols are, to within a small constant factor, optimal in the average case as well.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 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