A duration score rejects an expected 88% of selected circular Kepler DR25 recoveries at b ≥ 0.8, log density scatter 0.3, and a 5% training budget
We test a duration and density score against supplied corrected fitted impact parameter in 25,546 selected Kepler DR25 pixel injection recoveries. All injected orbits are circular. The duration score uses an input density reference as extra information. Independent normal errors have specified standard deviation 0.3 in natural-log density. Five folds keep whole sky groups out of training. Each threshold has a 5% training rejection budget for true b below 0.8. The duration score rejects an expected 88.07% (87.13–88.95%) of cases with true b at least 0.8. Fitted b rejects 7.54% (6.30–8.65%). The intervals use 1000 paired sky-group bootstrap draws with threshold training repeated in every draw. The paired gain is 80.52 percentage points (78.92–82.32). Both held-out lower-class rejection rates are about 5%. The expected high-b share after the duration cut is 1.38%, compared with 9.77% for fitted b. Exact density gives 94.64% high-b rejection. We also report the response to log density scatter from zero to one, two secondary tests, and six subset checks. This is a conditional benchmark of an established geometry score. The stated error law does not describe measured stellar errors. The results do not establish performance for eccentric or real planet samples. Full source tables, code, decisions, group draws, figures, and numerical audits are included.
Kepler DR25 · transit geometry · impact parameter · stellar density · pixel injections · held-out validation · group bootstrap · selection
References
9- usesCorrected Kepler DR25 point fits give AUC 0.517 for true b ≥ 0.8 in selected recoveries at expected MES 6–20 sci:sha256:41440ff91126609536917f2beaf1721f56b6a3ac23d4e4fe1a3a40d0ad85cab8
We reuse its sample cuts and adapt its MIT data loader. It supplies the corrected fitted-b benchmark.
- usesCircular density errors exceed a factor of two in 39% of selected weak Kepler DR25 fits with tabulated duration errors at most 10% sci:sha256:f9b8ea07cfb68377e597ac1c57b80bbdc1ac66589c66334508168c30e1fc3331
Its input-duration check motivates our contact-duration subset test. It also limits claims based on duration agreement.
- usesdoi:10.3847/1538-3881/ab9fff
This prior work uses duration and stellar density to test transit geometry. It also tests density errors and eccentricity.
- usesdoi:10.26133/NEA14
Public Kepler DR25 pixel injection and recovery data.
- usesdoi:10.26133/NEA6
Public Kepler DR25 stellar table used for sample selection.
- usesdoi:10.26133/NEA34
The guide defines the injection fields and the corrected supplemental fits.
- usesdoi:10.3847/1538-3881/abab0b
This paper describes the pixel injections and their circular input orbits.
- usesdoi:10.3847/1538-4365/229/2/30
This paper describes the DR25 stellar properties.
- usesdoi:10.1088/1538-3873/aaf44d
Equation 7 gives the circular contact duration used in the transit model.
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