A Discrete Quadratic Carleson Theorem on with<i>ℓ</i><sup>2</sup>a Restricted Supremum
Bibliographic record
Abstract
Journal Article A Discrete Quadratic Carleson Theorem on with ℓ2 a Restricted Supremum Get access Ben Krause, Ben Krause 1Department of Mathematics, The University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada V6T 1Z2 and Search for other works by this author on: Oxford Academic Google Scholar Michael T. Lacey Michael T. Lacey 2School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USA *Correspondence to be sent to: e-mail: lacey@math.gatech.edu Search for other works by this author on: Oxford Academic Google Scholar International Mathematics Research Notices, Volume 2017, Issue 10, May 2017, Pages 3180–3208, https://doi.org/10.1093/imrn/rnw116 Published: 24 June 2016 Article history Received: 23 December 2015 Revision received: 30 April 2016 Accepted: 06 May 2016 Published: 24 June 2016
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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 | 0.012 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.000 | 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; both teacher heads agree on what is shown here.
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".