Paper Citation Record · LEDGER

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs

As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2604.08219.

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

pith.paper-citation-record.v1
2604.08219 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T17:05:01.911625Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

26 of 26 outbound references displayed

verified exact4
verified fuzzy21
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8fd21d1-eabc-42f8-a97b-4f5048487fe5 · outbound

This paper cites Distributed optimization under information constraints: A survey.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Distributed optimization under information constraints: A survey

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.562101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d494aa9f-61fc-4126-9333-4a0965a966cc · outbound

This paper cites Can decentralized algorithms outperform centralized algorithms? a case study for decentralized parallel stochastic gradient descent.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Can decentralized algorithms outperform centralized algorithms? a case study for decentralized parallel stochastic gradient descent

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.578078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c0d3469-dcc1-4aa4-a1fa-67ed9e9c3ca5 · outbound

This paper cites A compressed gradient tracking method for decentralized optimization with linear convergence.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs A compressed gradient tracking method for decentralized optimization with linear convergence

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.547778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9004c157-56b6-4b8c-8220-db9e35727ca5 · outbound

This paper cites Harnessing smoothness to accelerate distributed optimization.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Harnessing smoothness to accelerate distributed optimization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.598035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 60975899-fb90-418a-a79b-85b99e268f4c · outbound

This paper cites Distributed stochastic gradient tracking methods.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Distributed stochastic gradient tracking methods

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.551356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 43868a7f-3044-4b9f-8b31-dd63212e115c · outbound

This paper cites Momentum-based variance reduction in non-convex sgd.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Momentum-based variance reduction in non-convex sgd

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.574281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 646c4b54-03ae-4ca4-9b6e-806543af6e52 · outbound

This paper cites Distributed stochastic momentum tr acking with local updates: Achieving optimal communication and iterat ion complex- ities.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Distributed stochastic momentum tr acking with local updates: Achieving optimal communication and iterat ion complex- ities

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:36:00.108937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 32cfa474-7e45-49dd-a894-83ba01bd01d1 · outbound

This paper cites Periodic Stochastic Gradient Descent with Momentum for Decentralized Training.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Periodic Stochastic Gradient Descent with Momentum for Decentralized Training

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:36:00.103680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b26c145b-8bef-4a39-a6b8-af852e6bcfc3 · outbound

This paper cites A unified and refined convergence analysis for non-convex decentralized learning.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs A unified and refined convergence analysis for non-convex decentralized learning

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.539688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f80d5404-a7da-473e-b330-025df8a8054b · outbound

This paper cites Towards faster decentralized stochastic optimization with communication compression.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Towards faster decentralized stochastic optimization with communication compression

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.602680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1ff501f9-bf54-44b2-aa91-4beced06fe10 · outbound

This paper cites Faster adaptive decentralized learning algo- rithms.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Faster adaptive decentralized learning algo- rithms

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.594181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fec9e03e-f729-4896-a09e-da53b1c4fac8 · outbound

This paper cites Momentum-based ac- celerated algorithm for distributed optimization under sector-bound nonlinearity.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Momentum-based ac- celerated algorithm for distributed optimization under sector-bound nonlinearity

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.589910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c75dc90-d05d-4380-8f41-87235ab0cff2 · outbound

This paper cites Push–pull gradient methods for distributed optimization in networks.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Push–pull gradient methods for distributed optimization in networks

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.582275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 79370a93-29cf-409d-b552-42fab3a18448 · outbound

This paper cites Stochastic push-pull for decentralized nonconvex optimization.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Stochastic push-pull for decentralized nonconvex optimization

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.535891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 781f8c7e-8464-4eab-8c32-96e76dec251c · outbound

This paper cites On the Linear Speedup of the Push-Pull Method for Decentralized Optimization over Digraphs.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs On the Linear Speedup of the Push-Pull Method for Decentralized Optimization over Digraphs

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:08.625579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 646452d9-b49b-4e10-af39-34173a4f6262 · outbound

This paper cites A linear algorithm for optimization over directed graphs with geometric convergence.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs A linear algorithm for optimization over directed graphs with geometric convergence

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.543324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3da753f2-8702-4f26-8d43-98a71224bde7 · outbound

This paper cites R-fast: Robust fully- asynchronous stochastic gradient tracking over general topology.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs R-fast: Robust fully- asynchronous stochastic gradient tracking over general topology

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.586005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 920f7012-5f7f-4ff5-88d0-cd554454ad5d · outbound

This paper cites Acceleratedab/push– pull methods for distributed optimization over time-varying directed networks.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Acceleratedab/push– pull methods for distributed optimization over time-varying directed networks

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.565822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 636ef67e-fa9e-4f6f-9032-2209a907f424 · outbound

This paper cites A linearly convergent robust compressed push-pull method for decentralized optimization.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs A linearly convergent robust compressed push-pull method for decentralized optimization

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.554993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b2bcbe2-b027-4bc2-bed6-2a74bdd866e6 · outbound

This paper cites Compressed gradient tracking for decentralized optimization over general directed networks.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Compressed gradient tracking for decentralized optimization over general directed networks

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.570501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 343e900c-f5dd-4265-9d3d-710ffc9f5354 · outbound

This paper cites Libsvm: A library for support vector machines.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Libsvm: A library for support vector machines

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.558719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7ecad0d3-7748-41b3-9e71-722499b0f22e · outbound

This paper cites Stochastic gradient push for distributed deep learning.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Stochastic gradient push for distributed deep learning

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.528460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 07948cc5-abac-4a89-a19b-b3802caccb5b · outbound

This paper cites Achieving geometric conver- gence for distributed optimization over time-varying graphs.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Achieving geometric conver- gence for distributed optimization over time-varying graphs

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.520394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5a616a36-1fcf-49d8-9d2e-d666cec38608 · outbound

This paper cites Distributed Learning over Arbitrary Topology: Linear Speed-Up with Polynomial Transient Time.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Distributed Learning over Arbitrary Topology: Linear Speed-Up with Polynomial Transient Time

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:36:00.096508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0111899a-831a-4e6b-bda8-78831cc18d91 · outbound

This paper cites On the importance of initialization and momentum in deep learning.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs On the importance of initialization and momentum in deep learning

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T12:14:34.532200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eca7b449-1064-4692-95be-0d282f1def01 · outbound

This paper cites an unresolved cited work.

Stochastic Momentum Tracking Push-Pull for Decentralized Optimization over Directed Graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-17T12:14:34.524368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.