Paper Citation Record · LEDGER

Random Batch Method with Momentum Correction

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2412.15581.

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

pith.paper-citation-record.v1
2412.15581 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:25:18.828904Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

30 of 30 outbound references displayed

verified exact5
verified fuzzy6
unresolved17
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a83cb2ed-3a30-465a-a180-23d09e62c2d8 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 1

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T11:25:19.265961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 205ab8d7-cdf4-440b-a6f0-dfbe12a5fe0b · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-11T11:25:18.700599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a8af7c0-3de1-4ce3-aaae-41389b221caa · outbound

This paper cites Perthame, Pde models for chemotactic movements: Parabolic, hyperbolic and kinetic, Applications of Mathematics 49 (2004) 539–564.

Random Batch Method with Momentum Correction Perthame, Pde models for chemotactic movements: Parabolic, hyperbolic and kinetic, Applications of Mathematics 49 (2004) 539–564

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.499958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 90c8aab8-8618-4aa3-9c5d-7633a961fd55 · outbound

This paper cites Greengard, V.

Random Batch Method with Momentum Correction Greengard, V

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.709716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5efc3f34-1283-486d-9f01-ac1ef21d6e71 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.484628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation beb4c97c-eca8-412a-92e2-da1a318f748c · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-11T11:25:18.891301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ec74140-0a80-44d9-8cac-b7b01bf9d1e1 · outbound

This paper cites An overview of gradient descent optimization algorithms.

Random Batch Method with Momentum Correction An overview of gradient descent optimization algorithms

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.724431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5303fa2-7aab-4fd2-a249-a6fe31738fed · outbound

This paper cites Nesterov Accelerated Gradient and Scale Invariance for Adversarial Attacks.

Random Batch Method with Momentum Correction Nesterov Accelerated Gradient and Scale Invariance for Adversarial Attacks

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.728759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a383cd-f6fd-4664-9cf6-38abd68e09bd · outbound

This paper cites Chaintron, A.

Random Batch Method with Momentum Correction Chaintron, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.467618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 377883e2-ae8b-4fd5-919b-770d5c2e4cca · outbound

This paper cites CLIFFORD, A.

Random Batch Method with Momentum Correction CLIFFORD, A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.737384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35c672bb-feaa-40b5-95be-37d61eb888c6 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.453244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0cdd9bbb-557b-4efc-a36a-8f4b1642de03 · outbound

This paper cites Ferreiro-Castilla, A.

Random Batch Method with Momentum Correction Ferreiro-Castilla, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.439083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5fab8a71-7416-493c-9c9d-a682f76c4696 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.423313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 34f8d172-586a-4283-b23d-5df08cc2c65d · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.408392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c5ca58a8-5374-4c6e-8cb0-876ea36066e0 · outbound

This paper cites A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems.

Random Batch Method with Momentum Correction A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:25:19.034859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d39d038-67bc-4618-a057-91c96b0147a3 · outbound

This paper cites Random Batch Methods for classical and quantum interacting particle systems and statistical samplings.

Random Batch Method with Momentum Correction Random Batch Methods for classical and quantum interacting particle systems and statistical samplings

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:25:19.011103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 02d443f6-7ee4-420c-90cb-ab7b9343e348 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.393941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 50945c66-113b-426d-8412-33897a6e6ee1 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.379047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd572ffe-4c6a-444a-88c9-08bc790cfc9d · outbound

This paper cites Understanding Gradient Clipping in Private SGD: A Geometric Perspective.

Random Batch Method with Momentum Correction Understanding Gradient Clipping in Private SGD: A Geometric Perspective

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.777031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e3855f5-ef18-48c8-a8bf-e71d548d3141 · outbound

This paper cites Quantitative Convergences of Lie Group Momentum Optimizers.

Random Batch Method with Momentum Correction Quantitative Convergences of Lie Group Momentum Optimizers

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.781665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6aa5ce8-9060-47c9-abb3-7fa5628980a2 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Random Batch Method with Momentum Correction Adam: A Method for Stochastic Optimization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.786974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f29bd42-ed5c-4911-93b8-da931ac292c6 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T11:25:18.865551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d97eb17-1d70-4d8b-90fd-c7d9c2e46087 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.363836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66f2e834-9ce9-40a8-9755-96a1eff932f8 · outbound

This paper cites Degond, M.

Random Batch Method with Momentum Correction Degond, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.348406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3e2d5d36-b4d5-4a7e-b587-e3ac904aceb8 · outbound

This paper cites Vicsek, A.

Random Batch Method with Momentum Correction Vicsek, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.332159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 918d3a0f-b3f0-498f-a8d1-d51fa820a8ec · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.316029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 573da12e-71c9-42c9-9134-49c261feb748 · outbound

This paper cites Motsch, E.

Random Batch Method with Momentum Correction Motsch, E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:25:19.296981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9b29f57b-8ee6-4119-bff6-0a7f71bcb599 · outbound

This paper cites Mean field error estimate of the random batch method for large interacting particle system.

Random Batch Method with Momentum Correction Mean field error estimate of the random batch method for large interacting particle system

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:25:18.940830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b0b7c574-efcd-43d9-94fb-73502716537b · outbound

This paper cites A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics.

Random Batch Method with Momentum Correction A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T11:25:18.824108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d8c73a3-5095-4787-80dd-ab2311ddd636 · outbound

This paper cites an unresolved cited work.

Random Batch Method with Momentum Correction Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:25:19.282342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.