Sequential Transmission of Markov Sources over Burst Erasure Channels
Bibliographic record
Abstract
We study the sequential coding of a Markov source process under error propagation and decoding delay constraints.The source sequence at each time is sampled i.i.d.along the spatial dimension and from a first order Markov process along the temporal dimension.The channel can introduce a single erasure burst of maximum length B starting at any arbitrary time.The encoder must operate in a causal fashion, whereas the decoder must losslessly reconstruct each source sequence with a delay of T , except those sequences that occur in a window of length B + W following the erasure burst.We study the minimum achievable compression rate as a function of B, W and T .When specialized to T = 0, we recover our earlier results for the case of zero decoding delay.We also treat an extension where the channel introduces multiple erasure bursts, separated by a guard interval of a certain minimum duration.Finally we present a special source model for which an exact characterization of the minimum rate is obtained.
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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 | 0.002 | 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 | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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".