Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Multivalued maps have many applications. We consider one-dimensional multivalued maps whose graphs are defined by lower and upper boundary maps. Let I = [0, 1] and let be a partition of I into a finite number of intervals. Let τℓ, τu: I → I be two piecewise expanding maps on such that τℓ ≤ τu. Let G ⊂ I×I be the region bounded by the graphs of τℓ and τu. Any map η: I → I that takes values in G is called a selector of the multivalued map defined by G. We assume that τℓ and τu as well as all the selectors we consider have invariant distribution functions. Let F* be a target distribution. We prove the existence of a selector η* which minimizes the functional , where η has invariant distribution Fη. Other results pertain to the functional , where Pη is the Frobenius–Perron operator of η acting on distribution functions. We present an algorithm for finding selectors which minimize J1(η).
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 |
| 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