Paper Citation Record · LEDGER

A Fast Newton Method Under Local Lipschitz Smoothness

As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2505.04807.

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

pith.paper-citation-record.v1
2505.04807 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:39:52.007149Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:05:23.621390Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:05:23.994202Z

Reference resolution

39 of 39 outbound references displayed

verified exact1
verified fuzzy19
unresolved19
parse uncertain0
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External citation measurements

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Outbound references

Observation 3aff408b-3bd5-4e4e-94e5-5a546d94533f · outbound

This paper cites Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem.SIAM Journal on Optimization, 27:269–291, 2017.

A Fast Newton Method Under Local Lipschitz Smoothness Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem.SIAM Journal on Optimization, 27:269–291, 2017

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.791261Z

Source-reported events for the cited work

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Observation 773e47a0-f880-4cbf-94b0-01853372b537 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.771227Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1af93470-6df7-490b-b8fd-e84bd5938382 · outbound

This paper cites Duchi, Oliver Hinder, and Aaron Sidford.

A Fast Newton Method Under Local Lipschitz Smoothness Duchi, Oliver Hinder, and Aaron Sidford

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.807624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f02faec6-0532-4f79-a816-7d6ba8e11de2 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.744759Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 615b8d29-a751-437b-acbd-f085019aa34e · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4b4718f-ff46-4711-b0b6-e4fbb16a1635 · outbound

This paper cites MOS-SIAM Series on Optimization.

A Fast Newton Method Under Local Lipschitz Smoothness MOS-SIAM Series on Optimization

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.824070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bc19369-6750-4029-a3f8-c8d7f7426521 · outbound

This paper cites Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization.

A Fast Newton Method Under Local Lipschitz Smoothness Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.705821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 00799a61-ae90-43da-b60a-33242f29631b · outbound

This paper cites Coakley and Vladimir Rokhlin.

A Fast Newton Method Under Local Lipschitz Smoothness Coakley and Vladimir Rokhlin

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.687023Z

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Observation 9368ae9e-b41f-4da9-b238-f2056f76a78c · outbound

This paper cites Conn, Nicholas I.

A Fast Newton Method Under Local Lipschitz Smoothness Conn, Nicholas I

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.841210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d59c09a-e9c2-4d2d-ae0a-53b50c5d1848 · outbound

This paper cites Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method.

A Fast Newton Method Under Local Lipschitz Smoothness Minimizing Quasi-Self-Concordant Functions by Gradient Regularization of Newton Method

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.846928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bb3bb72-9521-497e-90c9-1beb8e82dfb3 · outbound

This paper cites Super-universal regularized newton method.

A Fast Newton Method Under Local Lipschitz Smoothness Super-universal regularized newton method

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.659406Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 98d62d51-6c8d-4adf-bf59-73bc12ceb007 · outbound

This paper cites Gradient regularization of newton method with bregman distances.

A Fast Newton Method Under Local Lipschitz Smoothness Gradient regularization of newton method with bregman distances

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.643071Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eb8dd5f0-ecbd-4bd6-9771-53879610b65e · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.623337Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c9d5e7e1-c91b-4d7f-8fce-9b6cf0a04d23 · outbound

This paper cites Scalable adaptive cubic regularization meth- ods.Mathematical Programming, October 2023.

A Fast Newton Method Under Local Lipschitz Smoothness Scalable adaptive cubic regularization meth- ods.Mathematical Programming, October 2023

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.601490Z

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Observation 092fe475-6f68-4d79-a1c0-14d21586b945 · outbound

This paper cites Beyond uniform smoothness: A stopped analysis of adaptive sgd.

A Fast Newton Method Under Local Lipschitz Smoothness Beyond uniform smoothness: A stopped analysis of adaptive sgd

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.581231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation abc629d0-7740-4aab-b635-0e22b1bfdfbc · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.563177Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c14a80f8-fcc6-4f14-bbcb-23182339f4d6 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.547206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 952c3ed0-ce8a-4173-9515-5a8e926e3958 · outbound

This paper cites Yet another fast variant of newton’s method for nonconvex optimization.IMA Journal of Numerical Analysis, 45(2):971–1008, 2025.

A Fast Newton Method Under Local Lipschitz Smoothness Yet another fast variant of newton’s method for nonconvex optimization.IMA Journal of Numerical Analysis, 45(2):971–1008, 2025

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.529852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2f47abb5-91be-49e7-9086-d664b8e1176d · outbound

This paper cites S2MPJ and CUTEst optimization problems for Matlab, Python and Julia.

A Fast Newton Method Under Local Lipschitz Smoothness S2MPJ and CUTEst optimization problems for Matlab, Python and Julia

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.897968Z

Source-reported events for the cited work

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Observation ff924623-0323-40c2-91f5-f6e376b477fc · outbound

This paper cites Adaptive regularization minimization algorithms with nonsmooth norms.IMA Journal of Numerical Analysis, 43(2):920—949 2022.

A Fast Newton Method Under Local Lipschitz Smoothness Adaptive regularization minimization algorithms with nonsmooth norms.IMA Journal of Numerical Analysis, 43(2):920—949 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.514257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 55eb2a12-07c9-474e-904d-b9b1fb0ea35e · outbound

This paper cites Revisiting gradient clipping: Stochastic bias and tight convergence guarantees.

A Fast Newton Method Under Local Lipschitz Smoothness Revisiting gradient clipping: Stochastic bias and tight convergence guarantees

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.498538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 13abac3e-33ba-4351-aaf6-809ce4c4671c · outbound

This paper cites Convex and non-convex op- timization under generalized smoothness.

A Fast Newton Method Under Local Lipschitz Smoothness Convex and non-convex op- timization under generalized smoothness

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.472937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b0e26440-0c84-4c5c-b688-016becffb2e4 · outbound

This paper cites Convergence of adam under relaxed assumptions.

A Fast Newton Method Under Local Lipschitz Smoothness Convergence of adam under relaxed assumptions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.453933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 88e975de-c8e7-4dcd-b884-c52488879605 · outbound

This paper cites Adaptive gradient descent without descent.

A Fast Newton Method Under Local Lipschitz Smoothness Adaptive gradient descent without descent

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.424923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 26ee8890-1e6c-46c7-99db-415762f8c157 · outbound

This paper cites Regularized newton method with globalo(1/k 2) convergence.SIAM Journal on Optimization, 33(3):1440–1462, July 2023.

A Fast Newton Method Under Local Lipschitz Smoothness Regularized newton method with globalo(1/k 2) convergence.SIAM Journal on Optimization, 33(3):1440–1462, July 2023

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.391263Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 50714546-306a-4133-8cf1-340cc71f0774 · outbound

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A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.369118Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e8267b41-deaf-49ef-a900-500ddb2321be · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.351036Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f0edf0b1-92a7-49d0-ab89-89e787e690e4 · outbound

This paper cites Variance-reduced Clipping for Non-convex Optimization.

A Fast Newton Method Under Local Lipschitz Smoothness Variance-reduced Clipping for Non-convex Optimization

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.943258Z

Source-reported events for the cited work

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Observation 3cb62a3e-3c38-40ce-8a5a-aa6d5d44f174 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.334013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f1887a9-b785-4f77-8fc6-14b1cd4fa534 · outbound

This paper cites Convergence of steinvariational gradient descent under a weaker smoothness condition.

A Fast Newton Method Under Local Lipschitz Smoothness Convergence of steinvariational gradient descent under a weaker smoothness condition

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.316164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation adc6fd4f-5f09-40a8-9efa-4e707d8b6fb9 · outbound

This paper cites A regularized newton method without line search for unconstrained optimization.Computational Optimization and Applications, 59(1-2):321–351, 2014.

A Fast Newton Method Under Local Lipschitz Smoothness A regularized newton method without line search for unconstrained optimization.Computational Optimization and Applications, 59(1-2):321–351, 2014

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.294809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5fb9377a-f90d-4205-9f50-17a2a2e42d1e · outbound

This paper cites Gradient Norm Regularization Second-Order Algorithms for Solving Nonconvex-Strongly Concave Minimax Problems.

A Fast Newton Method Under Local Lipschitz Smoothness Gradient Norm Regularization Second-Order Algorithms for Solving Nonconvex-Strongly Concave Minimax Problems

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:39:52.085691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b9e78a7f-b27a-4c32-8df4-71c75ed9f987 · outbound

This paper cites Trust region methods for nonconvex stochastic optimization beyond Lipschitz smoothness.Proceedings of the AAAI Conference on Artificial Intelligence, 38(14):16049–16057, Mar.

A Fast Newton Method Under Local Lipschitz Smoothness Trust region methods for nonconvex stochastic optimization beyond Lipschitz smoothness.Proceedings of the AAAI Conference on Artificial Intelligence, 38(14):16049–16057, Mar

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.276464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b00dd11-5894-4805-b942-48746c1cb1c0 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.257770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6be2112e-ccd2-4036-836b-370f3e38b5c0 · outbound

This paper cites Inexact newton-CG algorithms with complexity guarantees.IMA Journal of Numerical Analysis, 43(3):1855–1897, 2022.

A Fast Newton Method Under Local Lipschitz Smoothness Inexact newton-CG algorithms with complexity guarantees.IMA Journal of Numerical Analysis, 43(3):1855–1897, 2022

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.238570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7d06560e-78ba-424c-a1dd-14770c552647 · outbound

This paper cites Improved analysis of clipping algorithms for non- convex optimization.

A Fast Newton Method Under Local Lipschitz Smoothness Improved analysis of clipping algorithms for non- convex optimization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:52.214046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fca4fd88-b954-4d5c-adda-39cb51fee755 · outbound

This paper cites AdaBB: Adaptive Barzilai-Borwein Method for Convex Optimization.

A Fast Newton Method Under Local Lipschitz Smoothness AdaBB: Adaptive Barzilai-Borwein Method for Convex Optimization

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:51.993359Z

Source-reported events for the cited work

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Observation d3db9724-f10f-4a66-b3e8-9f0d1c646e57 · outbound

This paper cites Why gradient clipping accelerates training: A theoretical justification for adaptivity.

A Fast Newton Method Under Local Lipschitz Smoothness Why gradient clipping accelerates training: A theoretical justification for adaptivity

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:52.001448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1456d5e8-5c0c-42d3-853d-bdf3044ed3a4 · outbound

This paper cites an unresolved cited work.

A Fast Newton Method Under Local Lipschitz Smoothness Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:52.179335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 998dcdc1-687d-4d7d-9f3c-f359ee471c4b · inbound

Gradient-Normalized Smoothness for Optimization with Approximate Hessians cites this paper.

Gradient-Normalized Smoothness for Optimization with Approximate Hessians A Fast Newton Method Under Local Lipschitz Smoothness

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:05:23.999283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.