Paper Citation Record · LEDGER

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble

As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2502.05784.

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

pith.paper-citation-record.v1
2502.05784 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:11:27.304981Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:57:11.970083Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:16:10.352734Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy7
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50893900-af60-4c9a-9818-ba5d9873ab9c · outbound

This paper cites A., Suzuki, T., Wang, Z., Wu, D., and Yang, G.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble A., Suzuki, T., Wang, Z., Wu, D., and Yang, G

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.719648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89e7a6b4-2150-4f36-af2d-369fa974a11f · outbound

This paper cites EX i∼µ(N ) i|−i(·|X−i).

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble EX i∼µ(N ) i|−i(·|X−i)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.651581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d889b15f-630c-4503-a9c2-0028d1b5b670 · outbound

This paper cites ∇xi log dµ(N ) dx (X) + N λ ∇xi F (ρX) 2 2 # = NX i=1 EX−i∼µ(N ) −i.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble ∇xi log dµ(N ) dx (X) + N λ ∇xi F (ρX) 2 2 # = NX i=1 EX−i∼µ(N ) −i

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.668309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 965b76ea-591a-406d-8551-54d844d0c5c5 · outbound

This paper cites Mean-Field Neural ODEs via Relaxed Optimal Control.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Mean-Field Neural ODEs via Relaxed Optimal Control

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T18:11:27.250795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afe2acbd-8231-49ee-8569-d2d35840f310 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-08T18:11:27.267350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 018dbdc2-dbcf-4286-909a-35e52887e366 · outbound

This paper cites Then, ν0 = µ(N ) k (= Law(Xk)), νη = µ(N ) k+1(= Law(Xk+1)) (i.e., Yη d = Xk+1).

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Then, ν0 = µ(N ) k (= Law(Xk)), νη = µ(N ) k+1(= Law(Xk+1)) (i.e., Yη d = Xk+1)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.634830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 55187c34-8c20-41ed-add4-287d6ccced5f · outbound

This paper cites This result suggests using highλ to reduce the training costs, provided it does not negatively affect generalization error.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble This result suggests using highλ to reduce the training costs, provided it does not negatively affect generalization error

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.618363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation acc45083-a234-49b6-bf1e-7c7e7e0f663b · outbound

This paper cites The Llama 3 Herd of Models.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble The Llama 3 Herd of Models

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-08T18:11:27.239770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4c2f503-a56d-4c91-8b98-7354b55f38fd · outbound

This paper cites an unresolved cited work.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:11:42.701032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ce3c1c24-6948-43a9-aecc-f4aa172dfd70 · outbound

This paper cites an unresolved cited work.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:11:42.685259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 30963f4c-e1ac-4407-a917-568317a9aacc · outbound

This paper cites Stochastic Particle Gradient Descent for Infinite Ensembles.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Stochastic Particle Gradient Descent for Infinite Ensembles

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-08T18:11:27.256688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7fbd708-5579-4cda-9102-316640d0fd98 · outbound

This paper cites Merging in a Bottle: Differentiable Adaptive Merging (DAM) and the Path from Averaging to Automation.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Merging in a Bottle: Differentiable Adaptive Merging (DAM) and the Path from Averaging to Automation

Reference 151

Resolution: verified exact; local_arxiv, observed 2026-08-08T18:11:27.405063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 66e6dd4a-1c3c-4bc6-922b-c4ba04ec647c · outbound

This paper cites an unresolved cited work.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Unresolved cited work

Reference 353

Resolution: unresolved; no resolver link, observed 2026-08-08T18:11:27.234713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1939845d-b891-496e-99a4-59c7d22a0f36 · outbound

This paper cites an unresolved cited work.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Unresolved cited work

Reference 1996

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:11:42.586377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fce3e627-30f0-4124-8592-91c23c3e2037 · outbound

This paper cites Stability bounds in the non-convex settings are then addressed by Wang et al.

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Stability bounds in the non-convex settings are then addressed by Wang et al

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.568436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b8d31534-c1ae-43ff-91db-4ee1a8ffefe3 · outbound

This paper cites Ensemble methods improve predictive performance by combining the outputs of multiple models during inference (Hansen and Salamon, 1990; Dietterich, 2000).

Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble Ensemble methods improve predictive performance by combining the outputs of multiple models during inference (Hansen and Salamon, 1990; Dietterich, 2000)

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:11:42.602249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation e7c29bc7-6212-43b5-8332-1a8d22e4e833 · inbound

A Computable Measure of Suboptimality for Entropy-Regularised Variational Objectives cites this paper.

A Computable Measure of Suboptimality for Entropy-Regularised Variational Objectives Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-04T17:57:11.970083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4cd867b-780d-4cec-8f57-72511d67ff9e · inbound

Weight-Decay Turns Transformer Loss Landscapes Villani: Functional-Analytic Foundations for Optimization and Generalization cites this paper.

Weight-Decay Turns Transformer Loss Landscapes Villani: Functional-Analytic Foundations for Optimization and Generalization Propagation of Chaos for Mean-Field Langevin Dynamics and its Application to Model Ensemble

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:16:10.372724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.