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Paper Citation Record · LEDGER

A simple and practical adaptive trust-region method

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2412.02079.

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

pith.paper-citation-record.v1
2412.02079 v3

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:04:19.718795Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:40:22.098755Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact3
  • verified fuzzy27
  • unresolved3
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External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation ad3b22b7-467a-4d0a-8aa1-db1e616871bf · outbound

This paper cites Newton’s method with a model trust region modification.

A simple and practical adaptive trust-region method Newton’s method with a model trust region modification

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 40b6f042-0456-401a-aa88-de695b75d78b · outbound

This paper cites A consistently adaptive trust-region method.

A simple and practical adaptive trust-region method A consistently adaptive trust-region method

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0933705a-1956-4b09-97a1-79b88716479f · outbound

This paper cites Problem Complexity and Method Efficiency in Optimization.

A simple and practical adaptive trust-region method Problem Complexity and Method Efficiency in Optimization

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1d6b4bf3-7f83-492c-9d27-1852ef8b9336 · outbound

This paper cites A trust region algorithm with a worst- case iteration complexity of O(ϵ−3/2) for nonconvex optimization.

A simple and practical adaptive trust-region method A trust region algorithm with a worst- case iteration complexity of O(ϵ−3/2) for nonconvex optimization

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2ba6ec6f-6ad3-4893-be21-3e45770ed114 · outbound

This paper cites Trust-region Newton- CG with strong second-order complexity guarantees for nonconvex optimization.

A simple and practical adaptive trust-region method Trust-region Newton- CG with strong second-order complexity guarantees for nonconvex optimization

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a3dd155a-ce7d-4d18-aad8-7af20a5d08a0 · outbound

This paper cites Worst-case complexity of TRACE with inexact subproblem solutions for nonconvex smooth optimization.

A simple and practical adaptive trust-region method Worst-case complexity of TRACE with inexact subproblem solutions for nonconvex smooth optimization

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation aab4d346-aa18-4fbe-9561-a38411bf5265 · outbound

This paper cites A universal trust- region method for convex and nonconvex optimization.

A simple and practical adaptive trust-region method A universal trust- region method for convex and nonconvex optimization

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9da66628-9f55-49fd-9e4b-5cdaf93c5482 · outbound

This paper cites Complexity of trust-region methods with unbounded Hessian approximations for smooth and nonsmooth optimization.

A simple and practical adaptive trust-region method Complexity of trust-region methods with unbounded Hessian approximations for smooth and nonsmooth optimization

Reference 8

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Source-reported events for the cited work

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Observation 04e0a80c-448d-4758-90f0-2231efbded05 · outbound

This paper cites An interior-point trust-region method for nonsmooth regularized bound-constrained optimization.

A simple and practical adaptive trust-region method An interior-point trust-region method for nonsmooth regularized bound-constrained optimization

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ebcfd728-0f7f-4e8c-9fe0-5572f0b98b41 · outbound

This paper cites Cubic regularization of Newton method and its global performance.

A simple and practical adaptive trust-region method Cubic regularization of Newton method and its global performance

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 53ab3806-de8b-4fbd-b9df-c19f1213ab69 · outbound

This paper cites Adaptive cubic regularisation methods for unconstrained optimization.

A simple and practical adaptive trust-region method Adaptive cubic regularisation methods for unconstrained optimization

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7141b505-d9f4-40ae-9d05-bf6db104b713 · outbound

This paper cites Complexity analysis of second-order line-search algorithms for smooth nonconvex optimization.

A simple and practical adaptive trust-region method Complexity analysis of second-order line-search algorithms for smooth nonconvex optimization

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 20cc988b-fc03-46fa-be98-80c9f03c0064 · outbound

This paper cites A Newton-MR algorithm with complexity guarantees for nonconvex smooth unconstrained optimization.

A simple and practical adaptive trust-region method A Newton-MR algorithm with complexity guarantees for nonconvex smooth unconstrained optimization

Reference 13

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f6d946e7-b48d-4958-a26d-e489c47134b2 · outbound

This paper cites Newton-CG methods for nonconvex unconstrained optimization with H\"older continuous Hessian.

A simple and practical adaptive trust-region method Newton-CG methods for nonconvex unconstrained optimization with H\"older continuous Hessian

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7166147d-5f84-4ac7-abf8-247a0bbe3381 · outbound

This paper cites SIAM, Philadelphia, 2000.

A simple and practical adaptive trust-region method SIAM, Philadelphia, 2000

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 01730cff-ce19-400a-b969-1713d1d1869b · outbound

This paper cites Introductory Lectures on Convex Optimization: A Basic Course, volume 87.

A simple and practical adaptive trust-region method Introductory Lectures on Convex Optimization: A Basic Course, volume 87

Reference 16

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 77999e75-ac92-49fe-8553-e43cdf0f4485 · outbound

This paper cites Lower bounds for finding stationary points I.

A simple and practical adaptive trust-region method Lower bounds for finding stationary points I

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2017382f-f581-4866-ad50-9afbc1a9bbf3 · outbound

This paper cites Adaptive cubic regularisation methods for unconstrained optimization.

A simple and practical adaptive trust-region method Adaptive cubic regularisation methods for unconstrained optimization

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2b56d78f-223c-4255-87bf-b59b84d70982 · outbound

This paper cites Cartis, N.

A simple and practical adaptive trust-region method Cartis, N

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b0774113-77aa-40b8-8af5-c399338c085f · outbound

This paper cites Regularized Newton methods for minimizing functions with H¨older continuous Hessians.

A simple and practical adaptive trust-region method Regularized Newton methods for minimizing functions with H¨older continuous Hessians

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d2185125-2442-4441-97f8-56969cfe1860 · outbound

This paper cites Universal regularization methods: varying the power, the smoothness and the accuracy.

A simple and practical adaptive trust-region method Universal regularization methods: varying the power, the smoothness and the accuracy

Reference 21

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ecd10863-1cd3-4c38-af7c-1fc7baa2fdec · outbound

This paper cites Yet another fast variant of Newton’s method for nonconvex optimization.

A simple and practical adaptive trust-region method Yet another fast variant of Newton’s method for nonconvex optimization

Reference 22

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 89b18904-5ad5-4fd7-9e44-f0431d1ea38f · outbound

This paper cites CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization.

A simple and practical adaptive trust-region method CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3a19f3da-7559-4287-be05-86027d54c54b · outbound

This paper cites an unresolved cited work.

A simple and practical adaptive trust-region method Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3a4a02d5-2b6f-4b98-b79a-c8983e3232f2 · outbound

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A simple and practical adaptive trust-region method Numerical optimization

Reference 25

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 43d4227a-7b66-4dc1-87d0-a32017a82972 · outbound

This paper cites Minimization of functions having lipschitz continuous first partial derivatives.

A simple and practical adaptive trust-region method Minimization of functions having lipschitz continuous first partial derivatives

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 486da147-ba70-4346-91c4-2961aaf5a4b1 · outbound

This paper cites On the convergence of a wide range of trust region methods for unconstrained optimiza- tion.

A simple and practical adaptive trust-region method On the convergence of a wide range of trust region methods for unconstrained optimiza- tion

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 76a43092-2d19-4d79-857e-177fad0053a5 · outbound

This paper cites Nonlinear programming.

A simple and practical adaptive trust-region method Nonlinear programming

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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This paper cites Springer, 2019.

A simple and practical adaptive trust-region method Springer, 2019

Reference 29

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1246ecbc-4cbb-435d-bcea-e44405fa12ac · outbound

This paper cites On solving trust-region and other regu- larised subproblems in optimization.

A simple and practical adaptive trust-region method On solving trust-region and other regu- larised subproblems in optimization

Reference 30

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d19bebd2-8499-4bf7-988f-468486384df2 · outbound

This paper cites Orban, A.

A simple and practical adaptive trust-region method Orban, A

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 96049294-ca3e-4c70-b095-e210a919d651 · outbound

This paper cites Galahad, a library of thread-safe fortran 90 packages for large-scale nonlinear optimization.

A simple and practical adaptive trust-region method Galahad, a library of thread-safe fortran 90 packages for large-scale nonlinear optimization

Reference 32

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2e2a6e8c-78ad-4d12-99b7-9403b1d258fb · outbound

This paper cites Gradient descent in the absence of global lipschitz continuity of the gradients.

A simple and practical adaptive trust-region method Gradient descent in the absence of global lipschitz continuity of the gradients

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

Observation e51d5fd2-4b38-4167-96b4-67a5cc4734df · inbound

Accelerating Trust-Region Methods: An Attempt to Balance Global and Local Efficiency cites this paper.

Accelerating Trust-Region Methods: An Attempt to Balance Global and Local Efficiency A simple and practical adaptive trust-region method

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T00:40:22.098755Z digest=sha256:7ce49597caa793c34d42d38a07afdb323f93d651c83f003dae2fe083cbfe40c6

Observation 951e849b-d239-4216-b553-1fa6029a6a2f · inbound

On the Universality of Simple Trust-Region Algorithms cites this paper.

On the Universality of Simple Trust-Region Algorithms A simple and practical adaptive trust-region method

Reference 41

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verified exact
local_arxiv, observed 2026-08-01T12:18:24.746253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-01T12:17:39.710343Z digest=sha256:a12ee16f564760aa6c87a98b18920e78f470dbcf0bcb2cf6472301e7d7b05681