Paper Citation Record · LEDGER

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation

As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2508.20290.

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

pith.paper-citation-record.v1
2508.20290 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:55:45.322952Z

measured 46 of 46 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T04:55:27.851849Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T04:58:05.067654Z

Reference resolution

45 of 45 outbound references displayed

verified exact1
verified fuzzy26
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f6c56905-aa06-4d55-bda7-f5d9f0f0f8d3 · outbound

This paper cites A LFONSI ET AL ., Reynolds averaged Navier-Stokes equations for turbulence modeling , Applied Mechanics Re- views, 63 (2009).

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation A LFONSI ET AL ., Reynolds averaged Navier-Stokes equations for turbulence modeling , Applied Mechanics Re- views, 63 (2009)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.996093Z

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 6b4ec308-2237-4ed7-b49e-fef35dd206d2 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.984074Z

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 f5ca482b-b302-4e87-bc75-3855fd41d8e1 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.971718Z

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 dc11e3c3-e38c-4fe1-9abf-a4e2463ec2a9 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.958349Z

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 4402a1a7-20bf-43eb-8c43-af49ed66a5cc · outbound

This paper cites C ARLEO AND M.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation C ARLEO AND M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.942896Z

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 8b4053af-4c95-4599-ba97-6837b02c6f2e · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.929290Z

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 f28a386b-6592-4310-885d-ec65e91c0e8b · outbound

This paper cites C YBENKO , Approximation by superpositions of a sigmoidal function , Mathematics of Control, Signals and Sys- tems, 2 (1989), pp.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation C YBENKO , Approximation by superpositions of a sigmoidal function , Mathematics of Control, Signals and Sys- tems, 2 (1989), pp

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.916050Z

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 1b15a795-619f-43e5-8335-2f7bba4f9a80 · outbound

This paper cites G OODFELLOW , Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation G OODFELLOW , Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.904681Z

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 c524cb2d-6ef6-4a7b-a5bf-1b88e0c87770 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.892584Z

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 e923812b-9400-4002-ab68-98f5e8daf894 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.880324Z

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 6cb17b04-5f8d-4e68-9a3c-4afbb72f755a · outbound

This paper cites H ORNIK , M.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation H ORNIK , M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.868348Z

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 26f29398-4a29-490f-86f3-2506266690f2 · outbound

This paper cites J ACOT, F.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation J ACOT, F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.854591Z

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 7d17d595-37b8-4f20-8701-1237658b2db4 · outbound

This paper cites K RIZHEVSKY , I.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation K RIZHEVSKY , I

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.842183Z

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 faf83b2d-50ae-4356-906e-2318b945cbbc · outbound

This paper cites L ARSON , M.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation L ARSON , M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.829900Z

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 a5540dec-2aec-4cd1-89f4-67faeee8ee31 · outbound

This paper cites L ECUN, Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation L ECUN, Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.817777Z

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 b11f94e4-e64f-47ed-81a8-72f27a925be5 · outbound

This paper cites L ESHNO , V.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation L ESHNO , V

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.804903Z

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 126266f2-d03d-4fbd-8514-ff2671446faf · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.792178Z

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 2a9dee21-c90f-4e4a-a21d-6bdfdae635dc · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.776903Z

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 d32b8697-d255-45c9-9a7b-27b2f04db08d · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.761252Z

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 9e075422-b8ec-4769-b90e-596a93217634 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.748477Z

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 bba65a4c-145a-4c8b-9c4f-c18475a414c4 · outbound

This paper cites M NIH , K.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation M NIH , K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.736220Z

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 4e5f4706-4363-4dbb-b583-99fd0abe5a36 · outbound

This paper cites M OIN AND K.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation M OIN AND K

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.723875Z

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 cf2f1df3-6810-4c3c-aa04-6c8eb06a5ab3 · outbound

This paper cites N O ´E, A.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation N O ´E, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.711869Z

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 8141d034-083d-47d7-be47-8709258f0c36 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.700110Z

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 8f01eec9-2bb2-4daa-bb50-b18dacd0f05e · outbound

This paper cites R AISSI , P.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation R AISSI , P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.687971Z

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 e22fb3c6-2678-4c77-94cf-1c3cce85e0b3 · outbound

This paper cites T ELGARSKY , Benefits of depth in neural networks, PMLR, 2016, pp.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation T ELGARSKY , Benefits of depth in neural networks, PMLR, 2016, pp

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.676424Z

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 cf804104-7e3a-4355-bc41-5bd1cbe23c3f · outbound

This paper cites T REBOTICH AND D.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation T REBOTICH AND D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.658224Z

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 c6c5ca97-c429-4964-b6bb-f0eeaec5f1d6 · outbound

This paper cites W ANG , S.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation W ANG , S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T16:55:45.257017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f4e7728-3d9e-4826-aa4b-58d2dac47e02 · outbound

This paper cites W ANG , X.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation W ANG , X

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.640801Z

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 b429477b-3b03-4f35-9738-b298c1fb15fc · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.628534Z

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 39a8b450-37a3-474e-b070-666c21c31723 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.617031Z

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 4db3b33d-78eb-4a0e-a80a-600a286fca95 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.605308Z

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 8443f721-2b9a-4d17-bf3a-ec44d2625fba · outbound

This paper cites ReMU: Regional Minimal Updating for Model-Based Derivative-Free Optimization.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation ReMU: Regional Minimal Updating for Model-Based Derivative-Free Optimization

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T16:55:45.276313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a5eddbc-cc90-47ca-8323-75257388abec · outbound

This paper cites X IE AND Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation X IE AND Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.592993Z

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 fc2ce339-6c10-4063-a1d0-0f9dfbe466c2 · outbound

This paper cites X IE AND Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation X IE AND Y

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.580156Z

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 0a2fc038-81c5-45c5-9528-cc390b8016e3 · outbound

This paper cites X IE AND Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation X IE AND Y

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.567151Z

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 e59ac17a-3793-4886-be75-e56203a0a3cb · outbound

This paper cites X IE AND Y.-X.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation X IE AND Y.-X

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.547708Z

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 12e04143-136f-4f3b-b1fc-35bd2c85427a · outbound

This paper cites X IE AND J.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation X IE AND J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.535329Z

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 914ad45e-c4c1-46ac-90e6-ee97ea50ae43 · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.523251Z

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 c2a9a548-1d3d-4f40-a5af-89430aa84feb · outbound

This paper cites an unresolved cited work.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:45.510338Z

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 fa135e27-2256-47ba-b417-10f485c4cf5c · outbound

This paper cites Review of Mathematical Optimization in Federated Learning.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Review of Mathematical Optimization in Federated Learning

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:55:45.362369Z

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 d54b6f2e-81af-45f6-aa8e-a9a9192497a1 · outbound

This paper cites Y ANG , R.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Y ANG , R

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.499067Z

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 ed02877f-24d5-4345-b0d5-c4b92995b9e8 · outbound

This paper cites Y AROTSKY , Error bounds for approximations with deep ReLU networks , Neural Networks, 94 (2017), pp.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Y AROTSKY , Error bounds for approximations with deep ReLU networks , Neural Networks, 94 (2017), pp

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.487514Z

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 e599d94f-1311-4709-9979-0948e017b013 · outbound

This paper cites Z HOU , Y.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Z HOU , Y

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.475526Z

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 3e6ee9b0-0cf4-48a4-914b-7ff20cb7af0c · outbound

This paper cites Z HOU AND Z.

Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation Z HOU AND Z

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:45.462768Z

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

Observation 1ce4a18c-2fea-4c41-a819-935d7d6fbe84 · inbound

Distributed Gradient-Regularized Newton Method: Scheduled Consensus and O(epsilon^{-1}) Global Iteration Complexity cites this paper.

Distributed Gradient-Regularized Newton Method: Scheduled Consensus and O(epsilon^{-1}) Global Iteration Complexity Objective Value Change and Shape-Based Accelerated Optimization for the Neural Network Approximation

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:58:05.071421Z

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.