Triple
T38260698
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brenier map |
E1017920
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | optimal transport map |
C63597
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: optimal transport map Context triple: [Brenier map, instanceOf, optimal transport map]
-
A.
problem in optimal transport theory
A problem in optimal transport theory seeks the most efficient way to move mass from one probability distribution to another while minimizing a given cost function.
-
B.
area-preserving map
An area-preserving map is a transformation of a geometric space that leaves the area (or more generally, volume or measure) of any region unchanged under its action.
-
C.
transport theory
Transport theory is the conceptual framework that describes how particles, energy, or quantities such as mass and charge move and are distributed within physical systems under the influence of processes like diffusion, convection, and external forces.
-
D.
necessary conditions for optimality
Necessary conditions for optimality are criteria that any candidate solution must satisfy in order to be considered a potential optimizer (such as a minimum, maximum, or saddle point) of a given objective function under specified constraints.
-
E.
normalizing flow model
A normalizing flow model is a generative model that transforms a simple base distribution into a complex target distribution through a sequence of invertible, differentiable mappings with tractable Jacobian determinants.
- F. None of above. chosen
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f76de33e4481909099fa812709bd42 |
completed | May 3, 2026, 3:46 p.m. |
Created at: May 3, 2026, 4:30 p.m.