Paper Citation Record · LEDGER

Universal Reduced-Operator Method and High-Order Global Curvature Bounds

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2511.07341.

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pith.paper-citation-record.v1
2511.07341 v2

Coverage vector

measured 28 of 28 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T23:19:58.506580Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

28 of 28 outbound references displayed

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Outbound references

Observation 8ac90c18-59aa-4e7d-bcd7-66ee35671a83 · outbound

This paper cites Optimal Methods for Higher-Order Smooth Monotone Variational Inequalities.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Optimal Methods for Higher-Order Smooth Monotone Variational Inequalities

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:54.629412Z

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Observation cd257130-cf24-438d-a61d-305f6f98d001 · outbound

This paper cites Walter de Gruyter GmbH & Co KG, 2014.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Walter de Gruyter GmbH & Co KG, 2014

Reference 2

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Observation 1d8ad24e-dd05-4318-9c39-5166084b8216 · outbound

This paper cites Princeton university press, 2009.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Princeton university press, 2009

Reference 3

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Observation cc1b91f9-0b66-45dc-994e-d0f68c261d9f · outbound

This paper cites Worst-case evaluation complexity for unconstrained nonlinear optimiza- tion using high-order regularized models.Mathematical Programming, 163(1-2):359–368, 2017.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Worst-case evaluation complexity for unconstrained nonlinear optimiza- tion using high-order regularized models.Mathematical Programming, 163(1-2):359–368, 2017

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.039431Z

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Observation 3ceaccfa-b9af-439d-aa45-3acd7dc43c93 · outbound

This paper cites Higher-order methods for convex-concave min-max optimization and monotone variational inequalities.SIAM Journal on Optimization, 32(3):2208–2229, 2022.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Higher-order methods for convex-concave min-max optimization and monotone variational inequalities.SIAM Journal on Optimization, 32(3):2208–2229, 2022

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.179981Z

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Observation b89f9c91-edc9-414c-bb70-f3d9f1b4b764 · outbound

This paper cites Adaptive cubic regularisation methods for unconstrained optimization.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Adaptive cubic regularisation methods for unconstrained optimization

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.310647Z

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Observation 20163cd2-df6d-418b-8420-19f59aedb5d3 · outbound

This paper cites Sharp worst-case evalua- tion complexity bounds for arbitrary-order nonconvex optimization with inexpensive con- straints.SIAM Journal on Optimization, 30(1):513–541, 2020.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Sharp worst-case evalua- tion complexity bounds for arbitrary-order nonconvex optimization with inexpensive con- straints.SIAM Journal on Optimization, 30(1):513–541, 2020

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.445050Z

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Observation 140c47c1-63f2-4eb5-8ae7-c564bf5ab640 · outbound

This paper cites Minimizing quasi-self-concordant functions by gradient regularization of Newton method.Mathematical Programming, pages 1–39, 2025.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Minimizing quasi-self-concordant functions by gradient regularization of Newton method.Mathematical Programming, pages 1–39, 2025

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.620064Z

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Observation 596912e8-8ffa-488d-9ecc-41178c5e4593 · outbound

This paper cites Super-universal regularized Newton method.SIAM Journal on Optimization, 34(1):27–56, 2024.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Super-universal regularized Newton method.SIAM Journal on Optimization, 34(1):27–56, 2024

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.783336Z

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Observation 50e3e0d5-a6e4-44bc-838d-e0615e288dc3 · outbound

This paper cites Regularized newton methods for minimizing functions with H¨ older continuous hessians.SIAM Journal on Optimization, 27(1):478– 506, 2017.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Regularized newton methods for minimizing functions with H¨ older continuous hessians.SIAM Journal on Optimization, 27(1):478– 506, 2017

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:55.872646Z

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Observation bc6deda0-84b7-4fc8-8c90-ee0733a02318 · outbound

This paper cites Tensor methods for minimizing convex functions with H¨ older continuous higher-order derivatives.SIAM Journal on Optimiza- tion, 30(4):2750–2779, 2020.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Tensor methods for minimizing convex functions with H¨ older continuous higher-order derivatives.SIAM Journal on Optimiza- tion, 30(4):2750–2779, 2020

Reference 11

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Observation c742e8d2-a46d-437d-97f4-15e6d0bdcd82 · outbound

This paper cites Generalized optimistic methods for convex-concave saddle point problems.SIAM Journal on Optimization, 35(3):2066–2097, 2025.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Generalized optimistic methods for convex-concave saddle point problems.SIAM Journal on Optimization, 35(3):2066–2097, 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.213381Z

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Observation d344fafc-7a1c-4a12-931b-540a9315c63e · outbound

This paper cites Extragradient method for finding saddle points and other prob- lems.Matekon, 13(4):35–49, 1977.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Extragradient method for finding saddle points and other prob- lems.Matekon, 13(4):35–49, 1977

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.279523Z

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Observation ae5365a6-eacb-4da0-ba7b-1a5fe91a70b0 · outbound

This paper cites Perseus: A simple and optimal high-order method for variational inequalities.Mathematical Programming, 209(1):609–650, 2025.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Perseus: A simple and optimal high-order method for variational inequalities.Mathematical Programming, 209(1):609–650, 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.447810Z

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Observation 866a0202-5705-4fbe-bd49-520890b15117 · outbound

This paper cites an unresolved cited work.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.602307Z

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Observation b4facfc7-8003-42e9-ba6b-45cd6c7deb74 · outbound

This paper cites Universal gradient methods for convex optimization problems.Mathe- matical Programming, 152(1):381–404, 2015.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Universal gradient methods for convex optimization problems.Mathe- matical Programming, 152(1):381–404, 2015

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.737337Z

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Observation 96c1b47b-2acf-4429-826b-00cdeb952a20 · outbound

This paper cites Springer, Cham, 2018.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Springer, Cham, 2018

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.863066Z

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Observation 021dc301-c493-435f-916e-369ad071d746 · outbound

This paper cites Implementable tensor methods in unconstrained convex optimization.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Implementable tensor methods in unconstrained convex optimization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:56.989963Z

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Observation cb82656c-4e86-48df-a07b-6151a8c24096 · outbound

This paper cites Superfast second-order methods for unconstrained convex optimization.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Superfast second-order methods for unconstrained convex optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.133709Z

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Observation 38b1b0ff-c856-496f-be6c-508a7e877e8e · outbound

This paper cites High-Order Reduced-Gradient Methods for Composite Variational Inequalities.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds High-Order Reduced-Gradient Methods for Composite Variational Inequalities

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.289986Z

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Observation 5eca7992-0273-4485-b15d-f869516ae3e4 · outbound

This paper cites Primal subgradient methods with predefined step sizes.Journal of Op- timization Theory and Applications, 203(3):2083–2115, 2024.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Primal subgradient methods with predefined step sizes.Journal of Op- timization Theory and Applications, 203(3):2083–2115, 2024

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.483322Z

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Observation ce643c07-4269-48ad-8ec7-41581a8a4c1c · outbound

This paper cites Universal complexity bounds for universal gradient methods of convex optimization.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Universal complexity bounds for universal gradient methods of convex optimization

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.611714Z

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Observation afe29ab8-f675-4237-8725-434560153bc1 · outbound

This paper cites SIAM, Philadelphia, 1994.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds SIAM, Philadelphia, 1994

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.753556Z

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Observation 63466cd3-cd13-461c-acba-8c5bce81e812 · outbound

This paper cites Cubic regularization of Newton’s method and its global performance.Mathematical Programming, 108(1):177–205, 2006.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Cubic regularization of Newton’s method and its global performance.Mathematical Programming, 108(1):177–205, 2006

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:57.910247Z

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Observation 94d5f10a-b56a-4e83-b689-c04aed41b952 · outbound

This paper cites On the Riemannian geometry defined by self- concordant barriers and interior-point methods.Foundations of Computational Math- ematics, 2(4):333–361, 2002.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds On the Riemannian geometry defined by self- concordant barriers and interior-point methods.Foundations of Computational Math- ematics, 2(4):333–361, 2002

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:58.075577Z

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Observation 2e9c3cf3-a9af-470c-b5ef-a0e71c764851 · outbound

This paper cites Springer, 2006.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Springer, 2006

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:58.232399Z

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Observation 4637c052-00eb-4fae-beb1-9c1131479444 · outbound

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

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Gradient-Normalized Smoothness for Optimization with Approximate Hessians

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:58.363966Z

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Observation 1417e40d-1e9d-49f1-8a77-76c877cffbc2 · outbound

This paper cites Inequalities between the two kinds of eigenvalues of a linear transforma- tion.Proceedings of the national academy of sciences, 35(7):408–411, 1949.

Universal Reduced-Operator Method and High-Order Global Curvature Bounds Inequalities between the two kinds of eigenvalues of a linear transforma- tion.Proceedings of the national academy of sciences, 35(7):408–411, 1949

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T23:19:58.506580Z

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