Paper Citation Record · LEDGER

Learning sufficient low-dimensional structures through conditional optimal transport

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.18861.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.18861 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:15:03.263245Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact2
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c848dc3b-70db-4c6b-8db4-bad66a3c53b2 · outbound

This paper cites Since Φ(P(Y)) is Borel and W is G-measurable, the map fW is G-measurable.

Learning sufficient low-dimensional structures through conditional optimal transport Since Φ(P(Y)) is Borel and W is G-measurable, the map fW is G-measurable

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:03.140276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22af8ed4-c60a-412d-9878-32001e31c24a · outbound

This paper cites cylindrical.

Learning sufficient low-dimensional structures through conditional optimal transport cylindrical

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:03.263245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b14b6fa0-72a1-4d7d-b323-0c22970b6828 · outbound

This paper cites Since x7→K (x, Un) is measurable for every open Un, each set {x : K(x, Un) = 0 } is measurable.

Learning sufficient low-dimensional structures through conditional optimal transport Since x7→K (x, Un) is measurable for every open Un, each set {x : K(x, Un) = 0 } is measurable

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:03.058035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31b1763b-63fe-4e2f-9ea9-c2f8ce2157ce · outbound

This paper cites stochastic dot product.

Learning sufficient low-dimensional structures through conditional optimal transport stochastic dot product

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:03.203333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f4b5fdf-cef0-4b52-b9dc-e85d85ff171c · outbound

This paper cites Springer, 2009.isbn: 978-3-540-71050-9.doi:10.1007/978-3-540-71050-9.

Learning sufficient low-dimensional structures through conditional optimal transport Springer, 2009.isbn: 978-3-540-71050-9.doi:10.1007/978-3-540-71050-9

Reference 338

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.990814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76c3d8ad-f3bc-4b2d-8b77-c2f2702052cf · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Learning sufficient low-dimensional structures through conditional optimal transport Fourier Neural Operator for Parametric Partial Differential Equations

Reference 904

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.771875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba5f0b2f-f070-4c5a-9c07-e086a1cf4f47 · outbound

This paper cites Improving and generalizing flow-based generative models with minibatch optimal transport.

Learning sufficient low-dimensional structures through conditional optimal transport Improving and generalizing flow-based generative models with minibatch optimal transport

Reference 1999

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.934085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c09cc563-52d9-4988-92ee-3288a9fe00b8 · outbound

This paper cites Conditional Sampling with Monotone GANs: from Generative Models to Likelihood-Free Inference.

Learning sufficient low-dimensional structures through conditional optimal transport Conditional Sampling with Monotone GANs: from Generative Models to Likelihood-Free Inference

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.533194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95f3bf5e-1193-472d-b305-9c8dc184b374 · outbound

This paper cites Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case.

Learning sufficient low-dimensional structures through conditional optimal transport Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case

Reference 2007

Resolution: verified exact; local_arxiv, observed 2026-08-01T14:18:42.025264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ea2bc749-4d56-44da-b22e-68e2f219e597 · outbound

This paper cites Functional Flow Matching.

Learning sufficient low-dimensional structures through conditional optimal transport Functional Flow Matching

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.737232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1033acf8-9560-4916-a31b-c0f0e8ba680d · outbound

This paper cites Deep Dimension Reduction for Supervised Representation Learning.

Learning sufficient low-dimensional structures through conditional optimal transport Deep Dimension Reduction for Supervised Representation Learning

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.684565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bc6273d-aeb6-44e8-b3c3-a3773c8bc5a5 · outbound

This paper cites ‘On Flows Associated to Sobolev Vector Fields in Wiener Spaces: An Approach ` a la DiPerna–Lions’.

Learning sufficient low-dimensional structures through conditional optimal transport ‘On Flows Associated to Sobolev Vector Fields in Wiener Spaces: An Approach ` a la DiPerna–Lions’

Reference 2021

Resolution: verified exact; doi, observed 2026-08-01T14:18:42.634517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60aba1c3-ef7c-4b44-933b-ee896234c14a · outbound

This paper cites The Monge optimal transport barycenter problem.

Learning sufficient low-dimensional structures through conditional optimal transport The Monge optimal transport barycenter problem

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T14:15:02.832043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.