Evidence-Gated Research: Statistically Controlled Model Adoption in Adaptive Search
Organizations: Department of Applied Mathematics and Statistics Stony Brook University
Abstract
Adaptive model search is path dependent: once a challenger is adopted, it becomes the reference from which later candidates are generated. A statistically unsupported replacement can therefore alter hypotheses that have not yet been proposed. We introduce Evidence-Gated Research (EGR), a statistical adoption layer for moving-incumbent search. EGR freezes each challenger before decision evidence is revealed, builds anytime-valid evidence across a predeclared set of environments, routes evidence predictably toward unresolved components, composes a persistent candidate e-value, and passes that e-value to an online controller. Under explicit conditional-validity and predictability conditions, the resulting procedure controls false discovery rate for the declared all-environment adoption target even though earlier adoptions change later challengers. In a 5,000-trajectory closed-loop benchmark, development-only e-LOND attains persistent FDR 0.621, whereas no persistent false-adoption path is observed for the audited EGR variants in that finite run. In matched replay over 600 challenger--incumbent pairs, Stagewise EGR preserves fixed-anytime alternative crossing decisions while using 56.1% less decision evidence at the representative threshold. A three-environment public-data study and a 40,000-sample controlled neural benchmark reproduce the evidence-efficiency pattern. These results identify model replacement as a distinct statistical control point in adaptive model development.
Figures & tables
| Object | aLTT | e-LOND / e-GAI | EGR (ours) |
|---|---|---|---|
| Native target | candidate / hyperparameter risk | online e-value stream | persistent challenger–incumbent adoption |
| Within-candidate acquisition | sequential | assumes e-value supplied | predictable multi-env. acquisition |
| Changing incumbent | extra specification | extra specification | explicitly modeled |
| Across-candidate control | family selection | online FDR | compatible online controller |
| Condition | Required? | Role |
|---|---|---|
| Candidate frozen before evidence | Yes | prevents candidate-time leakage |
| Joint-filtration validity | Yes | links null to selected updates |
| Predictable allocation / stopping | Yes | preserves e-process validity |
| Cross-environment independence | No | minimum composition is pointwise |
| Raw-unit dependence | Not automatic | must be handled in evidence unit |
| Metric | Dev mean | Dev e-LOND | Two-env mean | Fixed IUT + e-LOND | Stagewise EGR | EGR-ALLOC |
|---|---|---|---|---|---|---|
| Persistent FDR | .6240 | .6210 | .0340 | .0000 | .0000 | .0000 |
| Pers.-alt. power | .907 | .461 | .867 | .188 | .196 | .251 |
| Final audit utility | .493 | .489 | .705 | .641 | .642 | .657 |
| Evidence / candidate | 240.0 | 221.6 | 240.0 | 240.0 | 145.5 | 153.7 |
| Benchmark | Metric | Fixed IUT + e-LOND | Stagewise EGR | EGR-ALLOC |
|---|---|---|---|---|
| Digits 3-env. | FDR | 0 | 0 | 0 |
| ( ) | Power | .3137 | .3221 | .3349 |
| Evidence | 1200.0 | 388.8 | 392.6 | |
| Controlled 40k | FDR | 0 | 0 | 0 |
| ( ) | Power | .2149 | .2380 | .2666 |
| Evidence | 1200.0 | 444.6 | 440.9 |
Appendix figures & tables4 assets
Supplementary material from the paper’s appendix.
Appendix
| Benchmark | Metric | Fixed IUT | Stagewise EGR | EGR-ALLOC |
|---|---|---|---|---|
| RBF-SVC | FDR | .0000 | .0000 | .0000 |
| Power | .522 | .554 | .583 | |
| Evidence | 1200.0 | 567.5 | 584.3 | |
| Neural MLP | FDR | .0000 | .0005 | .0000 |
| Power | .319 | .355 | .374 | |
| Evidence | 1600.0 | 782.3 | 781.0 |
| Policy | Metric | Fixed IUT | Stagewise EGR | EGR-ALLOC |
|---|---|---|---|---|
| Local | Power | .3192 | .3224 | .3309 |
| Evidence | 1200.0 | 389.3 | 390.7 | |
| Wide-local | Power | .5466 | .5519 | .5705 |
| Evidence | 1200.0 | 379.0 | 379.4 | |
| Global | Power | .6993 | .6877 | .6855 |
| Evidence | 1200.0 | 379.1 | 378.4 |
| Metric | Fixed endpoint | Fixed anytime | Stagewise EGR | EGR-ALLOC |
|---|---|---|---|---|
| Pers.-alt. power | .6082 | .6477 | .6477 | .6699 |
| Persistent-null crossing | .000013 | .000355 | .000355 | .000395 |
| Mismatch-null crossing | .000000 | .001667 | .001667 | .001905 |
| Evidence | 1600.0 | 1600.0 | 702.4 | 715.7 |
| Variants | Frozen | Leak+reuse | Leak+restart |
|---|---|---|---|
| 1 | .063 [.049,.081] | .063 [.049,.081] | .054 [.041,.070] |
| 4 | .060 [.047,.077] | .223 [.196,.254] | .042 [.031,.057] |
| 16 | .062 [.048,.079] | .988 [.929,1.051] | .059 [.046,.076] |
| 64 | .052 [.040,.068] | 3.802 [3.685,3.922] | .063 [.049,.081] |