Bibliographic record
Abstract
In this paper, we consider hybrid peer-to-peer systems where users form an unstructured peer-to-peer network with the purpose of assisting a server in the distribution of data. We present a mathematical model that we use to analyze the scalability of hybrid peer-to-peer systems under two query propagation mechanisms: the random walk and the expanding ring. In particular, we characterize how the query load at the server, the load at peers as well as the query response time scale as the number of users in the peer-to-peer network increases. We show that, under a properly designed random walk propagation mechanism, hybrid peer-to-peer systems can support an unbounded number of users while requiring only bounded resources both at the server and at individual peers. This important result shows that hybrid peer-to-peer systems have excellent scalability properties. To the best of our knowledge, this is the first time that a theoretical study characterizing the scalability of such hybrid peer-to-peer systems has been presented. We illustrate our results through numerical studies.
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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 | 0.009 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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".