Paper Citation Record · LEDGER

Applications of fractional calculus in learned optimization

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2411.14855.

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

pith.paper-citation-record.v1
2411.14855 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:52:26.943502Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

20 of 20 outbound references displayed

verified exact4
verified fuzzy12
unresolved3
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External citation measurements

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Outbound references

Observation d8cd87fd-2f13-4f2a-9cc5-6a37c9288fa0 · outbound

This paper cites R´esum´e des lec ¸ons donn´ees `a l’ ´ecole royale polytechnique sur le calcul inﬁnit ´esimal, volume 1.

Applications of fractional calculus in learned optimization R´esum´e des lec ¸ons donn´ees `a l’ ´ecole royale polytechnique sur le calcul inﬁnit ´esimal, volume 1

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.591203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 76206231-40a5-4aea-a079-4d06f4879e54 · outbound

This paper cites FlashAttention-2: Faster attention with bette r parallelism and work partitioning.

Applications of fractional calculus in learned optimization FlashAttention-2: Faster attention with bette r parallelism and work partitioning

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.575442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3c2ea915-14a3-4707-968e-51ab0ce3c5ac · outbound

This paper cites Revisiting four approximation methods for fractional order transfer f unction implementations: Stabil- ity preservation, time and frequency response matching ana lyses.

Applications of fractional calculus in learned optimization Revisiting four approximation methods for fractional order transfer f unction implementations: Stabil- ity preservation, time and frequency response matching ana lyses

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.560667Z

Source-reported events for the cited work

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Observation 91ac250e-1c94-47bd-bc12-a41935e1b627 · outbound

This paper cites Transformer-based learned optimization.

Applications of fractional calculus in learned optimization Transformer-based learned optimization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.544133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7b7553b-e9d7-4ce3-a04e-9373a39995f2 · outbound

This paper cites Efﬁciently m odeling long sequences with struc- tured state spaces.

Applications of fractional calculus in learned optimization Efﬁciently m odeling long sequences with struc- tured state spaces

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.529271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 03d8803f-d7c4-4574-957e-866a1f3542ca · outbound

This paper cites Rosenfeld.

Applications of fractional calculus in learned optimization Rosenfeld

Reference 6

Resolution: verified exact; doi, observed 2026-08-12T14:52:27.012374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 546962a6-1608-4e96-930d-2343e1efcb7f · outbound

This paper cites A closer look at learned optimiza- tion: Stability, robustness, and inductive biases.

Applications of fractional calculus in learned optimization A closer look at learned optimiza- tion: Stability, robustness, and inductive biases

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.513450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2f1ba03a-13e8-4fb5-b43f-55d6aa43c415 · outbound

This paper cites V ariance- reduced gradient estimation via noise-reuse in online evol ution strategies.

Applications of fractional calculus in learned optimization V ariance- reduced gradient estimation via noise-reuse in online evol ution strategies

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.493989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4f3d25c2-7f18-4114-b7df-93f4f6813caa · outbound

This paper cites Fractional differe ntial equation approach for convex optimization with convergence rate analysis.

Applications of fractional calculus in learned optimization Fractional differe ntial equation approach for convex optimization with convergence rate analysis

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T14:52:27.473894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 61a5fc87-7dcb-4bf6-84da-f9842671ec67 · outbound

This paper cites Note sur une formule pour les diff´ erentie lles ` a indices quelconques, ` a l’occasion d’un m´ emoire de m.

Applications of fractional calculus in learned optimization Note sur une formule pour les diff´ erentie lles ` a indices quelconques, ` a l’occasion d’un m´ emoire de m

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.455725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d63e7487-c050-434f-b5c5-53c6d3773a9b · outbound

This paper cites The Novel Adaptive Fractional Order Gradient Decent Algorithms Design via Robust Control.

Applications of fractional calculus in learned optimization The Novel Adaptive Fractional Order Gradient Decent Algorithms Design via Robust Control

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:52:27.365467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation de811129-1601-4026-b9b1-ea294873428f · outbound

This paper cites Decoupled weight dec ay regularization.

Applications of fractional calculus in learned optimization Decoupled weight dec ay regularization

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.438073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fab34cec-c7ff-4877-b7e1-c46b1bae1430 · outbound

This paper cites V ariab le order fractional gradient descent method and its application in neural networks optim ization.

Applications of fractional calculus in learned optimization V ariab le order fractional gradient descent method and its application in neural networks optim ization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T14:52:26.890276Z

Source-reported events for the cited work

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Observation 7a03ca00-6445-45af-a113-5dec87e4dc09 · outbound

This paper cites VeLO: Training Versatile Learned Optimizers by Scaling Up.

Applications of fractional calculus in learned optimization VeLO: Training Versatile Learned Optimizers by Scaling Up

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T14:52:26.902571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9d7cb0c-dbd5-4d7b-9478-94c63a45b2f6 · outbound

This paper cites Oldham and J.

Applications of fractional calculus in learned optimization Oldham and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.419030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e42913f-2187-4041-bfe9-ef0816590c47 · outbound

This paper cites V ersuch einer allgemeinen Auffassung der Integration und Differentiation.

Applications of fractional calculus in learned optimization V ersuch einer allgemeinen Auffassung der Integration und Differentiation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.397565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7919f33e-44b9-4d48-8cc3-478242d56ddb · outbound

This paper cites A Caputo fractional derivative-based algorithm for optimization.

Applications of fractional calculus in learned optimization A Caputo fractional derivative-based algorithm for optimization

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:52:27.272876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a022af8c-7345-42bf-a592-6c167cfffc60 · outbound

This paper cites State spac e approximation for general fractional order dynamic systems.

Applications of fractional calculus in learned optimization State spac e approximation for general fractional order dynamic systems

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:52:27.245858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b545753a-2aeb-42d0-a35e-fdfd183d5a9c · outbound

This paper cites Fourier features let net- works learn high frequency functions in low dimensional dom ains.

Applications of fractional calculus in learned optimization Fourier features let net- works learn high frequency functions in low dimensional dom ains

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:52:27.381768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2db3d040-0dfb-4339-92c0-e5eb08c3d3ba · outbound

This paper cites Study on two-stage f ractional order gradient descend method.

Applications of fractional calculus in learned optimization Study on two-stage f ractional order gradient descend method

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T14:52:26.943502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.