Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:16:44.364253Z
Paper Citation Record · LEDGER
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.10495.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9547f265-6fb0-40c3-b06c-b41f8341cb9f · outbound
This paper cites an unresolved cited work.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:16:45.432590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 636c81d3-2dfe-47a1-adc5-0a71c3d7ddfd · outbound
This paper cites and Kutz, J.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Kutz, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.408498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 39931d65-3e92-432e-bb51-1d8c465a7058 · outbound
This paper cites (1999) Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (1999) Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.391601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d1647ecf-adb4-4059-9fee-b004dc05f870 · outbound
This paper cites (1999) An introduction to chaos in nonequilibrium statistical mechanics.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (1999) An introduction to chaos in nonequilibrium statistical mechanics
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.371156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4fec6daf-73cd-4d18-8fe9-46fed502903e · outbound
This paper cites and Yu, B.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Yu, B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.350198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eb981242-35b3-4148-92f1-ac096f5b32ee · outbound
This paper cites and Van den Broeck, C.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Van den Broeck, C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.334035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f7ed0766-b345-4140-ac6a-a596853ff795 · outbound
This paper cites (2012) Stochastic thermodynamics under coarse graining.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (2012) Stochastic thermodynamics under coarse graining
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.317374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0a02db8c-51be-40e2-bda3-0f8891426540 · outbound
This paper cites (2012) An introduction to stochastic differential equations.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (2012) An introduction to stochastic differential equations
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.302296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3f311720-c895-4b1d-b20a-9bbb5a30b046 · outbound
This paper cites Gao, Lang, Q.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts Gao, Lang, Q
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:16:44.271849Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c91a3f57-1313-4ff6-a287-8c40c31cffd9 · outbound
This paper cites and Sasa, S.-I.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Sasa, S.-I
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.287368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ebb38543-0d1f-42bd-a79c-cf2bc2f7cc5e · outbound
This paper cites and Reina, C.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Reina, C
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.272117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 710ff9e5-1150-4d6c-88c0-d4ae75d105af · outbound
This paper cites and Reina, C.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Reina, C
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.255791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 18e42e15-1b9a-42b9-945c-a6816a83d9dc · outbound
This paper cites and Jiang, D.-H.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Jiang, D.-H
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.225654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cb00d0bb-90bc-4473-98c2-1f2eae6444a9 · outbound
This paper cites (1998) Langevin equation and thermodynamics.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (1998) Langevin equation and thermodynamics
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.205967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eeac51b6-639e-44a4-b155-e1a60e54150d · outbound
This paper cites Moment Estimate and Variational Approach for Learning Generalized Diffusion with Non-gradient Structures.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts Moment Estimate and Variational Approach for Learning Generalized Diffusion with Non-gradient Structures
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T13:16:44.616820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 80a6e5e1-60fc-4477-b820-1aba2c4cd0b7 · outbound
This paper cites and Karniadakis, G.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Karniadakis, G
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:45.175869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ab0958e5-d259-41f9-84ba-a922706ac4c5 · outbound
This paper cites (1998) Fluctuation theorem for stochastic dynamics.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts (1998) Fluctuation theorem for stochastic dynamics
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.990143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c2d2ef64-a340-496e-917b-bacf8c5efec0 · outbound
This paper cites and Trask, N.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Trask, N
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.965904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ff65a6c8-d08e-44de-81fc-e42abcd32742 · outbound
This paper cites and Ren W.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Ren W
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.949206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f698c465-dd17-484a-b23e-4d5e80654c31 · outbound
This paper cites and Wang Y.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Wang Y
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:16:44.326112Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04ce17a7-9d9d-44f9-a666-fb851704634d · outbound
This paper cites and Vulpiani, A.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Vulpiani, A
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.930528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9bed19e0-9b9a-459b-84c1-cd3d00aa8f34 · outbound
This paper cites Messenger, D.A.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts Messenger, D.A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.914390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e1f69ad1-c5d3-4e83-b0f9-0d037972c405 · outbound
This paper cites and Gong, G.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Gong, G
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.877725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d2493114-e0f9-4998-9e19-4c671605379e · outbound
This paper cites and Wang, Z.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Wang, Z
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.846180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 58b9c4b6-e09c-4c79-a68a-e705f1aa77c2 · outbound
This paper cites and Probert, M.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Probert, M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.822984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ddd9e9b7-99e1-4b34-8691-49cd7e2b6a7d · outbound
This paper cites and Karniadakis, G.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Karniadakis, G
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.804858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7fd8778e-9b50-45da-a14a-ee5a8368e833 · outbound
This paper cites and Solin, A.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts and Solin, A
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.782111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 43b98cc7-355b-43bd-a32f-b5153cba76aa · outbound
This paper cites best” parameters of the neural networks to reconstruct bNN for learning the drift b. • Phase 2: Minimize the loss function I dyn ψ given by (9) and find the “best.
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts best” parameters of the neural networks to reconstruct bNN for learning the drift b. • Phase 2: Minimize the loss function I dyn ψ given by (9) and find the “best
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:16:44.761693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.