Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:39:17.788789Z
Paper Citation Record · LEDGER
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers
As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2412.18730.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:00:40.982266Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T14:00:41.094136Z
Reference resolution
23 of 23 outbound references displayed
- verified exact0
- verified fuzzy5
- unresolved14
- parse uncertain0
- malformed identifier4
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cbe7e3bf-9e8a-403b-a6ac-9c7454b02d59 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.169258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 69928e25-4d1d-4edc-940c-3b7edfd6d423 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.154328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 22a36b93-71e7-47ef-87e6-0345f0ce2319 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.139500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4dbd943f-26c3-46fa-a54e-0976b224828a · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.115667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 94b8121a-2b9f-49c3-8bf1-03859ce7bba3 · outbound
This paper cites memorize.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers memorize
Reference 5
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-11T04:39:18.100826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 36d92eb8-bc4d-4c6a-8bb1-c5cfb03b9840 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.086578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e3b2a510-75ab-4677-b2bb-95fb312a7f5a · outbound
This paper cites Proof of Theorem C.6.By multiplying the integrating factorekt, we have that d ektyt dt =e kt d yt dt +ke ktyt ≤ϕ(t)e kt.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Proof of Theorem C.6.By multiplying the integrating factorekt, we have that d ektyt dt =e kt d yt dt +ke ktyt ≤ϕ(t)e kt
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:39:18.067638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f5b23f94-c9e9-48b5-9c99-90c45b050768 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.052578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 529356d0-18ff-4209-b62c-7a414004f739 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.038095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 35b3407b-270f-4884-9a0e-a47db87c2e9f · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:18.024270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6fb28590-e011-4f39-9086-5afe0b6942b2 · outbound
This paper cites 35 Proof of Theorem C.9.For the first item, for anyx∈∂B r(K), since mσ(x)lies in the convex set K, we can apply Item 2 of Theorem B.9 to conclude ⟨mσ(x)−proj K(x),proj K(x)−x⟩ ≥0.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers 35 Proof of Theorem C.9.For the first item, for anyx∈∂B r(K), since mσ(x)lies in the convex set K, we can apply Item 2 of Theorem B.9 to conclude ⟨mσ(x)−proj K(x),proj K(x)−x⟩ ≥0
Reference 11
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-11T04:39:18.009816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 006fbcef-945e-4d78-bbf4-3abaf0a38807 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.994738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9644a81c-6ce0-45fe-8e02-ea1e915e2475 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 13
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-11T04:39:17.980156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3e72ec9b-cfd7-484c-8cb0-2afa5cb2fba2 · outbound
This paper cites Consider the transformationu = σz.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Consider the transformationu = σz
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:39:17.965918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7f6012d0-6eab-4894-8ae6-fed39a610596 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.951386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 828a1065-9735-4709-8dc3-2e55e90e91a8 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.936584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 30ff1823-95ad-44e9-ae3a-4011fbe39df8 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.921482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 42a67b31-c5ed-4dd3-86d3-44b25c667104 · outbound
This paper cites For the second part, we useλ = −logσ as the reparametrization and the corresponding trajectory zλ := xσ(λ).
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers For the second part, we useλ = −logσ as the reparametrization and the corresponding trajectory zλ := xσ(λ)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:39:17.906161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 19667a86-d737-418a-b98e-0db9fd7956d3 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.889482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f66853ce-b8ec-4922-b04c-c01ab819ceb3 · outbound
This paper cites Then, the ODE dx dt =u t(x), x(0) =x0 has a unique solutionx(t)for all t∈ [0, 1).
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Then, the ODE dx dt =u t(x), x(0) =x0 has a unique solutionx(t)for all t∈ [0, 1)
Reference 20
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-11T04:39:17.873519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d21359a9-9ba0-475e-95e5-764cd3c12005 · outbound
This paper cites turning points.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers turning points
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:39:17.857481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 58d8ef54-e464-416a-b794-845b69d36301 · outbound
This paper cites an unresolved cited work.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T04:39:17.842175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ca5d6f36-3315-44fa-8a14-a5bb20f4df49 · outbound
This paper cites This ratio can be interpreted as a relative error when approximating the denoiser output with the dataset mean.
Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers This ratio can be interpreted as a relative error when approximating the denoiser output with the dataset mean
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T04:39:17.826563Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 19ffa147-bd49-47a0-b20d-8408247e9d55 · inbound
Memorization and Regularization in Generative Diffusion Models cites this paper.
Memorization and Regularization in Generative Diffusion Models Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers
Reference 43
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T14:00:41.100686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1592db2c-d986-41f4-9f54-5858306b6906 · inbound
Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees cites this paper.
Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers
Reference 121
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T03:21:49.681500Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.