Improving the tracking ability of KRLS using Kernel Subspace Pursuit
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Bibliographic record
Abstract
We present a new Kernel Recursive Least Squares (KRLS) algorithm that is able to efficiently track time-varying systems. In order to alleviate the detrimental effect of a large dictionary size on the algorithm's tracking ability, we decouple the equality between dictionary size and weight vector size, an equality that has been encountered in all previous KRLS algorithms. In the proposed method, the maximum size of the weight vector is fixed and is independent from the dictionary size. We introduce the Kernel Subspace Pursuit algorithm which we use to choose a subset of the dictionary that tracks best the most recent received data samples. The selected dictionary elements are then used in the KRLS iterations. We show through simulations that our algorithm outperforms existing KRLS algorithms in tracking time-varying systems.
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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 | 0.000 | 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 | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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 it