Paper Citation Record · LEDGER

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method

As of 24 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2505.03050.

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

pith.paper-citation-record.v1
2505.03050 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:11:09.803537Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:34:23.038873Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T23:34:26.275878Z

Reference resolution

49 of 49 outbound references displayed

verified exact1
verified fuzzy18
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72f8466b-db8d-469c-9ce9-0fe2c55792a9 · outbound

This paper cites Absil, R.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Absil, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.566496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1fd84e80-79b3-4ea5-a72d-3888e4d7cf06 · outbound

This paper cites Andriuschenko and N.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Andriuschenko and N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.554055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 79632395-36a5-4037-ad10-66088fdd946d · outbound

This paper cites Attouch, J.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Attouch, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.543661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a36433f2-6eaa-45f0-b2f5-9ae027f0604b · outbound

This paper cites Attouch, J.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Attouch, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.532312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a587e443-70da-4da1-ae49-bc599ec8deb5 · outbound

This paper cites Beck and M.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Beck and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.521372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9bffd6f7-2aad-4d92-92ba-8aef660f38a3 · outbound

This paper cites Bento, B.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Bento, B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.510666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f7aa4076-a137-466b-bad1-ccd7cf93352a · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.497340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67870858-1def-4888-a3b2-a50e9bd34235 · outbound

This paper cites Davis and D.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Davis and D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.485180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5789eb52-143e-4739-a31c-3a85ec44522a · outbound

This paper cites Foret, A.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Foret, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.475870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 57769b4e-d840-4c4f-91a8-deedb00e959f · outbound

This paper cites Gilmore and C.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Gilmore and C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.466726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eabe5674-c682-45ad-a8a9-f11e35ece926 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.457103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 434b64e6-5171-4ce2-9ac3-1c7c90a7e30f · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.447796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3530f253-19e5-46dd-aa9d-5b7a1eb09a92 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.433606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 78defa1c-cd04-4dec-b9b3-a6e94d8091a6 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.420367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 51f1ce09-c128-4882-98ec-6f2c11b0aa40 · outbound

This paper cites Linearconvergenceofgradientandproximal-gradientmethods under the polyak-łojasiewicz condition.Machine Learning and Knowledge Discovery in Databases, Part 1, pages 795–811, 2016.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Linearconvergenceofgradientandproximal-gradientmethods under the polyak-łojasiewicz condition.Machine Learning and Knowledge Discovery in Databases, Part 1, pages 795–811, 2016

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.409810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62617d65-a3c5-4c6f-96ac-266f7c86ad6d · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.390192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eadd5172-fa1e-4e0e-9a66-18576c52b345 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.379518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5aedd066-1e9b-4ea2-9434-68edbd255fe7 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.368378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation daa5f80a-a0b9-43fe-89db-2710ec8f7e41 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-16T00:11:09.842607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d1506d73-5e65-4c32-8aef-0d7231549359 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.356931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 590658c1-172d-49af-a69d-b8cdb8e2654b · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.342332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e45be698-ced7-407b-8828-4c5ccdbe5c81 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:11:09.507429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9ef2299-a68f-47cb-8757-92b4f0784881 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.328971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dcc4abda-cd7b-4b6b-8297-c59281eb776b · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.312031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66140691-d6e0-495a-abbe-480c7669a82e · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.301807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 941d5d88-1a1b-4b55-a7e1-02c5e0608254 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.287013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 915d93ad-2beb-4740-9cd5-0e55f1e0669d · outbound

This paper cites Li and T.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Li and T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.275387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 285a3af1-e961-4119-850f-33978637f048 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.262486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e349fc9b-9c98-41f8-a517-7228a1cd6ca1 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.247838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66f1191a-7b53-45ca-af70-31dbf0731cbe · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.232454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 45614fbe-9558-455f-9f2a-5c4c875f3c1b · outbound

This paper cites Nesterov.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Nesterov

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.218133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ae4ebb57-ee41-4a90-bd05-edce9c01753e · outbound

This paper cites Nesterov.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Nesterov

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.207353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 136a9aa3-a894-4557-b94a-ce5f1f9cfe7f · outbound

This paper cites Nesterov.Lectures on Convex Optimization.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Nesterov.Lectures on Convex Optimization

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.194912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a3f7646-7e25-4d81-83f3-d66284b8b9d8 · outbound

This paper cites Nesterov and V.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Nesterov and V

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:10.177743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 10f4cb3f-9c31-4e9d-b84b-85c207404673 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.163461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2826d085-171d-4e0c-9d2d-519af665b357 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.150025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b455b187-3b9b-481f-9c5e-d2b0bbb1a60f · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.129358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 403f93f7-c863-47d7-8f7c-d416b4a78f7e · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.112296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f83427ab-1f73-4d16-bdf3-bd3df98b0242 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.100438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1771053-e20d-4cda-ae08-f9891e4d15e3 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.077851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 846a186d-4d8b-472c-850a-48af26066aac · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.060586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8d1c71bc-b888-416d-b3c5-cdf1e8287eb5 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.045005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 24d3af9b-fbae-42cd-a3e4-c050ed81391c · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.028170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff4ccc5f-66bd-4bfe-b0b0-82222911ef39 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:10.003992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 000369b8-48a8-4959-aa1f-f7e5f75d08c3 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:09.987486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6a0aea29-798e-46dd-96be-a1b0c0eae115 · outbound

This paper cites Themelis, L.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Themelis, L

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:09.974560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e8fc1e0a-8726-4680-b302-0c1b5723804e · outbound

This paper cites Wang and Z.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Wang and Z

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:09.959701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 73f5c8d2-af3b-4c54-8ed3-4aefa3fad254 · outbound

This paper cites an unresolved cited work.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:11:09.947413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2d42945b-bf19-48c8-967d-c37879e037a0 · outbound

This paper cites Zavriev and F.

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method Zavriev and F

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:11:09.935825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 95e6458c-f3a9-4302-a0b7-de729b0b666d · inbound

Worst-case convergence analysis of relatively inexact gradient descent on smooth convex functions cites this paper.

Worst-case convergence analysis of relatively inexact gradient descent on smooth convex functions Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:34:26.405052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.