Paper Citation Record · LEDGER

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI

As of 7 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.18174.

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

pith.paper-citation-record.v1
2607.18174 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:58:25.092206Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4a77357-d0f2-4b67-ad7e-3c5c0094b545 · outbound

This paper cites K., Unutmaz, D., Weil, K., Yin, S., & Zhivotovskiy, N.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI K., Unutmaz, D., Weil, K., Yin, S., & Zhivotovskiy, N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.288308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f08565a2-b931-4809-982b-7b1097f14276 · outbound

This paper cites D., Ying, Y., & Chen, T.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI D., Ying, Y., & Chen, T

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.357673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 561d1f28-4321-49cc-ab5b-162f56597890 · outbound

This paper cites Gradient-Based Multi-Objective Deep Learning: Algorithms, Theories, Applications, and Beyond.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Gradient-Based Multi-Objective Deep Learning: Algorithms, Theories, Applications, and Beyond

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.446589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54fe99b6-23ad-4d17-81f5-34cd7a54c04c · outbound

This paper cites (2005).Multicriteria optimization(2nd ed.).

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI (2005).Multicriteria optimization(2nd ed.)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.561719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d29d76a-07bf-4610-81f3-6f978e0063b3 · outbound

This paper cites D., Chen, L., Lu, S., Chen, P.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI D., Chen, L., Lu, S., Chen, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.648065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca1aa93b-ab8a-4bee-b1ab-1e73ae4d6ab9 · outbound

This paper cites D., Shen, H., Liu, M., Chaudhury, S., Murugesan, K., & Chen, T.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI D., Shen, H., Liu, M., Chaudhury, S., Murugesan, K., & Chen, T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.699480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f064b80b-c065-4667-82d6-019d81291faf · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.745510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d06520bc-e856-4573-b67b-4926484401ee · outbound

This paper cites Regularity-Aware Stochastic MGDA with Adaptive Conflict-Avoidant Update Direction Control.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Regularity-Aware Stochastic MGDA with Adaptive Conflict-Avoidant Update Direction Control

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.815109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e43c075-8b4c-4ea8-92d8-b895226032c9 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:23.906770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af692fa5-bdd2-4bd1-bfc1-27b80b215a2a · outbound

This paper cites AI-Assisted Discovery of Convex Relaxations via Dual Agents.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI AI-Assisted Discovery of Convex Relaxations via Dual Agents

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.022869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b21d7d11-1f8e-40b0-92a3-4e1259e55ca9 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.076721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 485d7474-7f19-4e2a-8bd4-558141a7cf68 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.154282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 275b3d7a-679e-49eb-94e2-4010f109dda0 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.210259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18a411fc-5b1b-4b86-9029-7f5b8f1ebd8e · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.324129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c885d2f7-1a72-44f7-a83c-0beee7662524 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.426402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3007c05-3bb2-49bc-ae45-f51910074b8a · outbound

This paper cites Last-Iterate Convergence of Optimistic Multiplicative Weight Update.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Last-Iterate Convergence of Optimistic Multiplicative Weight Update

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.497677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a30b9126-0153-4ec3-827f-4ad9bf289387 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.559382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30443236-9515-4626-a754-99bf6866bc24 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.614276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78db1f65-28b8-46d3-be44-c17b22addc04 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.722492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf52aeee-c148-4cf2-acdf-150ca14c5b5f · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.807766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dd6e52e-bad8-44fc-b2d4-42272bb0d161 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.879811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da89fe91-255e-43f5-9345-d6ccd49e6c1b · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:24.945388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4c2e16c-c8a6-47fc-87e6-9f1fe1673460 · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:25.012605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8c4cf94-2a0a-4cfa-aeb6-4802ecfee3eb · outbound

This paper cites an unresolved cited work.

Improved Convergence Rate for Stochastic Multi-Gradient Descent: A Proof Discovered with AI Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T15:58:25.092206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.