TardySketch: A Framework for Cardinality Estimation Adaptable to Sliding Windows
Bibliographic record
Abstract
Sliding cardinality estimation is crucial in many data analysis scenarios, e.g., detecting abnormal network behav-iors by monitoring unique connections in real time, detecting fraud in online transactions by monitoring unique user behavior patterns, and improving inventory management in supply chains by analyzing unique buyer behaviors. However, existing sliding cardinality estimation methods suffer from a cardinality barrel-down problem caused by unexpired item elimination in advance and item excessive removal, which remains unresolved so far. In this paper, we propose TardySketch, a sketch framework to make sliding cardinality estimation accurate and efficient by solving the above problem. The cornerstone of TardySketch is a Bidirectional Pointer-based Bitmap (BP-Bitmap), which stores the arrival sequence of items without timestamps. To prevent the premature elimination of unexpired items, we propose a Gap mechanism to enhance the accuracy of BP-Bitmap for identifying truly expired items through intermittent monitoring. To ensure an appropriate number of items are eliminated as the window moves, we design a Slow-Down mechanism to slacken the reset rate of bucket in BP- Bitmap to prevent over removal of items. Experimental results based on real-world datasets demonstrate that TardySketch significantly outperforms state-of-the-art methods, achieving a performance improvement of 5–40 times. The source code of TardySketch is available on GitHub.
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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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 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) | 0.000 | 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".