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Paper Citation Record · LEDGER

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities

As of 16 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2608.08463.

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

pith.paper-citation-record.v1
2608.08463 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:48:52.476890Z

measured 65 of 65 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

65 of 65 outbound references displayed

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  • verified fuzzy29
  • unresolved35
  • parse uncertain0
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External citation measurements

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Outbound references

Observation 6751dfe0-1cae-4c8c-be37-b6d77fb4472a · outbound

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

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Optimal Methods for Higher-Order Smooth Monotone Variational Inequalities

Reference 1

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Observation f8b72d3d-a5a6-424c-928f-a65e84e6ce44 · outbound

This paper cites Lower bounds for higher-order convex optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Lower bounds for higher-order convex optimization

Reference 2

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Observation 3d5186ae-59d8-4dce-b4a3-f6cac05ea11e · outbound

This paper cites an unresolved cited work.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Unresolved cited work

Reference 3

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Observation 16ad43aa-fdd8-4a68-8e56-c260523715ab · outbound

This paper cites Optimal black-box reductions between optimization objectives.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Optimal black-box reductions between optimization objectives

Reference 4

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source=pdf_text observed=2026-08-14T04:48:52.240843Z digest=sha256:1e26d12c8502162e9cc5e5018d272a425560ee51d2507b978ad98b0a7b9e5b94

Observation 01d65b41-f393-456f-9337-00cd6e6d8941 · outbound

This paper cites Marques Alves and Benar F.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Marques Alves and Benar F

Reference 5

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source=pdf_text observed=2026-08-14T04:48:52.245596Z digest=sha256:b3009bdb917e14ec764f792707347900a6a9308e0f7f48184ad82e02a57417ae

Observation 11e06a67-843e-4580-88da-dbaa4e495c00 · outbound

This paper cites Oracle complexity of second-order methods for smooth convex optimization.Mathematical Programming, 178(1):327–360, 2019.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Oracle complexity of second-order methods for smooth convex optimization.Mathematical Programming, 178(1):327–360, 2019

Reference 6

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source=pdf_text observed=2026-08-14T04:48:52.250121Z digest=sha256:2fa7683fb9ebb5aa15ae3cf7167636e9b5b38316d42a42121f2418818f1b38ac

Observation a8ef53db-2a20-4590-b951-dc8434cadf87 · outbound

This paper cites Doubly optimal no-regret online learning in strongly monotone games with bandit feedback.Operations Research, 73(6):3219–3244, 2025.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Doubly optimal no-regret online learning in strongly monotone games with bandit feedback.Operations Research, 73(6):3219–3244, 2025

Reference 7

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source=pdf_text observed=2026-08-14T04:48:52.254212Z digest=sha256:ffb99f3ad1113765c17bdc2a1370f7ad0c5b9bd1dc1f5f041558367e27dceb76

Observation e2c52b43-bf74-4bef-a64a-b26ef15f51ab · outbound

This paper cites Near-optimal method for highly smooth convex optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Near-optimal method for highly smooth convex optimization

Reference 8

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source=pdf_text observed=2026-08-14T04:48:52.257958Z digest=sha256:34dc346cffc74e533c5f015651121fffc3c56ed76d7d845396a2431de4a170d0

Observation 2230f036-9414-42e2-8fb1-4fa1b7d5b3cb · outbound

This paper cites an unresolved cited work.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-14T04:48:52.261563Z digest=sha256:f31a03dc97a34595538fab4103d2d0396f792c88add72b9f5de8b7926b5675c8

Observation dc8333c9-910b-4ccf-9be4-708159631591 · outbound

This paper cites Variance reduced halpern iteration for finite-sum monotone inclusions.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Variance reduced halpern iteration for finite-sum monotone inclusions

Reference 10

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source=pdf_text observed=2026-08-14T04:48:52.266450Z digest=sha256:37dbc74b5e83d253c1eb0fa2d2fbbaab05179efe1f12537b16e7a5cf6f2b4b6a

Observation 821ad6e1-e363-476d-b924-a2df923c8fc2 · outbound

This paper cites Accelerated single-call methods for constrained min-max optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Accelerated single-call methods for constrained min-max optimization

Reference 11

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source=pdf_text observed=2026-08-14T04:48:52.270311Z digest=sha256:aa34f0d4fdbebe05e35be8a224476d2a7a917266fbd336e6d6b851816a173897

Observation 42d27d12-5964-472a-a786-3508de52dae2 · outbound

This paper cites Finite-time last-iterate convergence for learning in multi-player games.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Finite-time last-iterate convergence for learning in multi-player games

Reference 12

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source=pdf_text observed=2026-08-14T04:48:52.274420Z digest=sha256:93ce5ced74ff19ae707eebe743e4c2463255db708522edb363717efd41b9f392

Observation 91b9cf0e-f254-4a4e-a51f-7933b28238bd · outbound

This paper cites Accelerated algorithms for constrained nonconvex- noncancave min-max optimization and comonotone inclusion.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Accelerated algorithms for constrained nonconvex- noncancave min-max optimization and comonotone inclusion

Reference 13

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source=pdf_text observed=2026-08-14T04:48:52.278054Z digest=sha256:46ee8a9e7ec2981a35d7601e637557f274e18dd26070d94e8e136e487745ffb3

Observation 786db073-0ee3-4a61-ae5c-650434f9c265 · outbound

This paper cites Distributionally robust optimization via ball oracle acceleration.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Distributionally robust optimization via ball oracle acceleration

Reference 14

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source=pdf_text observed=2026-08-14T04:48:52.281850Z digest=sha256:ddce2ac66abb79ba40b7ecbb3de113a14a1f66169d9b7cf72bad014bb2347889

Observation d7621a83-59e8-4af4-aa97-cc2a693f8af7 · outbound

This paper cites Optimal and adaptive monteiro-svaiter acceleration.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Optimal and adaptive monteiro-svaiter acceleration

Reference 15

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source=pdf_text observed=2026-08-14T04:48:52.286053Z digest=sha256:0e34cfe48dd34a23cfb6bcfe9450771fa2d5043a41fbc5e75c27169fa32d10fa

Observation fc880f0c-9fe6-4283-8992-2320715cb709 · outbound

This paper cites Cambridge university press, 2006.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Cambridge university press, 2006

Reference 16

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source=pdf_text observed=2026-08-14T04:48:52.289650Z digest=sha256:767704b152c66cce2efdb6b4dc9632b2329683ac77a1cd9bdcfb0b55e631bc87

Observation 582c6eb1-ed76-4a1c-a8d4-a55fdffaf801 · outbound

This paper cites Near-optimal algorithms for making the gradient small in stochastic minimax optimization.JMLR, 25(387):1–44, 2024.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Near-optimal algorithms for making the gradient small in stochastic minimax optimization.JMLR, 25(387):1–44, 2024

Reference 17

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source=pdf_text observed=2026-08-14T04:48:52.293241Z digest=sha256:3b6ff48169c4522f2d582c3fbfc27cfa080ce1f2ed634d8a72ae03e6d953a811

Observation b467d901-6d10-488e-bf0f-d75bd0e2bd39 · outbound

This paper cites Solving convex-concave problems with O(ϵ−4/7)second-order oracle complexity.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Solving convex-concave problems with O(ϵ−4/7)second-order oracle complexity

Reference 18

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source=pdf_text observed=2026-08-14T04:48:52.297292Z digest=sha256:d0b8a1735466c0327a9bdcae384a0453dba5b46dac27b0152cfce85f8e2fa8f1

Observation f0d6b584-f92d-43a3-b077-76576f864069 · outbound

This paper cites Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/(3p+1)})$ $p$th-Order Oracle Complexity.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/(3p+1)})$ $p$th-Order Oracle Complexity

Reference 19

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source=pdf_text observed=2026-08-14T04:48:52.300829Z digest=sha256:532ed4644e4d271aee4cc0c9132f499949e19b1fbba6ec4e6071fc3b2e7f1fcb

Observation b36f62ab-3936-4540-ab45-2a3d01fdc0f2 · outbound

This paper cites Monotone operator theory in convex optimization: Pl combettes.Mathematical Programming, 170(1):177–206, 2018.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Monotone operator theory in convex optimization: Pl combettes.Mathematical Programming, 170(1):177–206, 2018

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source=pdf_text observed=2026-08-14T04:48:52.304870Z digest=sha256:a2146bb7b0c1692aa65d88ff5f57a766c470fad04634b5b2bc6fdfc995e20536

Observation 9615faf5-86cb-4fe9-a4b8-ef55f586c96b · outbound

This paper cites Fast linear algebra is stable.Numerische Mathematik, 108(1):59–91, 2007.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Fast linear algebra is stable.Numerische Mathematik, 108(1):59–91, 2007

Reference 21

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source=pdf_text observed=2026-08-14T04:48:52.308769Z digest=sha256:259ac85353d325e68cfd204226234b1676e8eecfdad95d7be1f4be3a04d1a6b7

Observation cb5fd2a5-c100-431c-b7b6-fd178b1a20dc · outbound

This paper cites Halpern iteration for near-optimal and parameter-free monotone inclusion and strong solutions to variational inequalities.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Halpern iteration for near-optimal and parameter-free monotone inclusion and strong solutions to variational inequalities

Reference 22

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source=pdf_text observed=2026-08-14T04:48:52.312688Z digest=sha256:34510d2f7ce37bf721d9ad583e685cb397ad0d14376ddd4870cb7e6dc468bb6c

Observation d87fbbbf-34c7-4fa1-a75e-410f28b7f68e · outbound

This paper cites Faster matrix multiplication via asymmetric hashing.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Faster matrix multiplication via asymmetric hashing

Reference 23

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source=pdf_text observed=2026-08-14T04:48:52.316264Z digest=sha256:c228c4685b92bc9f7d8cbe8e9caf4e4dc30850f35d4bf06d2457c56f40ccd192

Observation 3fa4d584-ecd7-4803-bc83-8115f95fefa6 · outbound

This paper cites Springer, 2003.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Springer, 2003

Reference 24

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source=pdf_text observed=2026-08-14T04:48:52.320095Z digest=sha256:bf19973e67ed7d215c8a4e858d45a93542d770971ebdd0d083f4bacdb57b1c84

Observation 2526c670-392f-40a4-9ec9-ca65fd7b8584 · outbound

This paper cites Near-optimal lower bounds for convex optimization for all orders of smoothness.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Near-optimal lower bounds for convex optimization for all orders of smoothness

Reference 25

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source=pdf_text observed=2026-08-14T04:48:52.323788Z digest=sha256:cc22ed9c0c2dbb0c442fdcca33c654be3016efcd2595039004999b2cdda01b93

Observation c39f46b2-b5d0-4dbd-a9df-4586b5d05ace · outbound

This paper cites Optimal tensor methods in smooth convex and uniformly convexoptimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Optimal tensor methods in smooth convex and uniformly convexoptimization

Reference 26

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source=pdf_text observed=2026-08-14T04:48:52.327846Z digest=sha256:abf4d6995487676c396f2b594c669197c1c39e73746924d5341defa52e594e78

Observation d91c81ba-e442-4706-a90f-68a903e0069e · outbound

This paper cites Springer, 1995.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Springer, 1995

Reference 27

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source=pdf_text observed=2026-08-14T04:48:52.331431Z digest=sha256:33ed3057220cc9a29d5bf863082e8b97080afd7e47c19f12ef74f2ed1a518077

Observation 7cd89899-0532-4eba-ab5c-50e310ccc473 · outbound

This paper cites Generative adversarial networks.Communications of the ACM, 63(11): 139–144, 2020.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Generative adversarial networks.Communications of the ACM, 63(11): 139–144, 2020

Reference 28

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source=pdf_text observed=2026-08-14T04:48:52.335163Z digest=sha256:f5f06ad9c9c6aa88bbefa172ca653507ce1296512817ed016df62f7a8eb2caa1

Observation 0e467dcc-726a-4e3e-acbd-f654b710d173 · outbound

This paper cites Fixed points of nonexpanding maps.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Fixed points of nonexpanding maps

Reference 29

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source=pdf_text observed=2026-08-14T04:48:52.339964Z digest=sha256:501c454d5705654810c69e973363eb1a6880ee418bd2990749d87a68d81e4737

Observation a784532a-15bb-42f7-bc52-d25397834e51 · outbound

This paper cites On some non-linear elliptic differential-functional equations.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities On some non-linear elliptic differential-functional equations

Reference 30

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source=pdf_text observed=2026-08-14T04:48:52.343650Z digest=sha256:3c556b9c859630ccc9466e0c94e421caa3add4376f3946cc8103d67750d07524

Observation 39c4babd-a939-4ccd-b938-f29564d43e6c · outbound

This paper cites An approximation-based regularized extra-gradient method for monotone variational inequalities.SIAM Journal on Optimization, 35(3):1469–1497, 2025.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities An approximation-based regularized extra-gradient method for monotone variational inequalities.SIAM Journal on Optimization, 35(3):1469–1497, 2025

Reference 31

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source=pdf_text observed=2026-08-14T04:48:52.347189Z digest=sha256:ac857904cc92ea164db36b4750440f118ac9bbe70b66b55ef76025d0ffcb6b40

Observation 56f44cbb-f82b-407d-9e70-c7cbc94bef34 · outbound

This paper cites An optimal high-order tensor method for convex optimization.Mathematics of Operations Research, 46(4):1390–1412, 2021.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities An optimal high-order tensor method for convex optimization.Mathematics of Operations Research, 46(4):1390–1412, 2021

Reference 32

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.350827Z digest=sha256:4b30edbe81d020797736ab1a9b675e17fdad4afa185a4463a98d2199ae67e83c

Observation 03226114-d0e1-4552-b3e2-b1c2e21e65e7 · outbound

This paper cites An improved cutting plane method for convex optimization, convex-concave games, and its applications.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities An improved cutting plane method for convex optimization, convex-concave games, and its applications

Reference 33

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source=pdf_text observed=2026-08-14T04:48:52.354566Z digest=sha256:a0e3248276cb69a21813ae1ca93160b0cc4522f579dfd417507223213b9eb392

Observation d38432af-03ce-4a87-94e6-a2501baf2d5e · outbound

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

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Generalized optimistic methods for convex-concave saddle point problems.SIAM Journal on Optimization, 35(3):2066–2097, 2025

Reference 34

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source=pdf_text observed=2026-08-14T04:48:52.358416Z digest=sha256:7731470980a43cdc84a0c0316757aa172896cb77a30b4b9e283a56696f2f0cd6

Observation 5d420d32-89ed-404b-aa86-c49ca2b1a915 · outbound

This paper cites Adaptive and optimal second-order optimistic methods for minimax optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Adaptive and optimal second-order optimistic methods for minimax optimization

Reference 35

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source=pdf_text observed=2026-08-14T04:48:52.362164Z digest=sha256:0930f78aa4c1ee1c79ef81df256dce90614a69d002f3ea37349e2f990b73e4d8

Observation 3f240907-7ca1-4ae9-b3f4-aee3ca064dde · outbound

This paper cites Adaptive, doubly optimal no-regret learning in strongly monotone and exp-concave games with gradient feedback.Operations Research, 73(3):1675–1702, 2025.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Adaptive, doubly optimal no-regret learning in strongly monotone and exp-concave games with gradient feedback.Operations Research, 73(3):1675–1702, 2025

Reference 36

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.365919Z digest=sha256:26d5dc9d97a50dd29721b1050878400049cc166d85802a8f69ea19c5cf7b5bcc

Observation 2e0e4609-1757-4892-8a46-c8b5444afab5 · outbound

This paper cites An introduction to variational inequalities and their applications.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities An introduction to variational inequalities and their applications

Reference 37

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:48:52.369731Z digest=sha256:726ca68db5cde187766f3fefc75a7bd2167840252a0e2230c7b6954745b4ee93

Observation 2a52b7d0-40bc-4481-ae2f-a50c10def9f1 · outbound

This paper cites The extragradient method for finding saddle points and other problems.Matecon, 12:747–756, 1976.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities The extragradient method for finding saddle points and other problems.Matecon, 12:747–756, 1976

Reference 38

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source=pdf_text observed=2026-08-14T04:48:52.374400Z digest=sha256:75c879979d5aaeda64629592b30f3559bd2ee0896b3091fd19489b34ec97caff

Observation 27c8628e-31ab-4c87-9ddf-c76820adc3d5 · outbound

This paper cites The first optimal acceleration of high-order methods in smooth convex optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities The first optimal acceleration of high-order methods in smooth convex optimization

Reference 39

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source=pdf_text observed=2026-08-14T04:48:52.378003Z digest=sha256:3ff608a1e03063ab649dea9a19ee38d4aace514d7d1fc4bd7b98c221133938a8

Observation 241d9968-b2dc-42dd-acdd-4fb6192603f1 · outbound

This paper cites Fast extra gradient methods for smooth structured nonconvex- nonconcave minimax problems.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Fast extra gradient methods for smooth structured nonconvex- nonconcave minimax problems

Reference 40

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.381739Z digest=sha256:e72acdbfc6b39db787ff58dc9ccedbcbf0e8a307b26226cf50eaf02a93811042

Observation 52f6c246-0af5-4952-9051-84607ea45cdb · outbound

This paper cites On the convergence rate of the halpern-iteration.Optimization letters, 15(2):405–418, 2020.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities On the convergence rate of the halpern-iteration.Optimization letters, 15(2):405–418, 2020

Reference 41

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.385327Z digest=sha256:e01ebc04a55989bfb1e8783fbed8e53be0028d71803b56a5b581a67043e0be0f

Observation 2c7427bd-1bd5-4542-ac6f-eaaea92f5b7d · outbound

This paper cites Monotone inclusions, acceleration, and closed-loop control.Mathematics of Operations Research, 48(4):2353–2382, 2023.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Monotone inclusions, acceleration, and closed-loop control.Mathematics of Operations Research, 48(4):2353–2382, 2023

Reference 42

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source=pdf_text observed=2026-08-14T04:48:52.389138Z digest=sha256:e1880d26d7dcf02c0ba5247aad03f282464bfa4e6a1ccfc1ae11be38604b1348

Observation f1287e5f-8995-4733-b8df-375bc4e0afc0 · outbound

This paper cites an unresolved cited work.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-14T04:48:52.392748Z digest=sha256:995d66d270506e2dab5e38ecbe87ae3158867f9e2192bb39496f053204be7965

Observation 1bdec612-f3b8-4d6a-8f09-62ecfb3c4411 · outbound

This paper cites Monotone (nonlinear) operators in hilbert space.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Monotone (nonlinear) operators in hilbert space

Reference 44

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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.

source=pdf_text observed=2026-08-14T04:48:52.396467Z digest=sha256:e5f92bcda5a3882dcdebfde0badb31d0f836120c7f69086a9196ca046d2a650b

Observation 264768f8-2e09-4894-8713-630568765150 · outbound

This paper cites A unified analysis of extra-gradient and optimistic gradient methods for saddle point problems: Proximal point approach.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities A unified analysis of extra-gradient and optimistic gradient methods for saddle point problems: Proximal point approach

Reference 45

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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.

source=pdf_text observed=2026-08-14T04:48:52.400246Z digest=sha256:08705cf6ee996cb6fadf72aff8fd81cba7366b807b176f1295a2f4856818f45f

Observation e16336c3-b205-4324-a02d-f50d7424cfc8 · outbound

This paper cites Iteration-complexity of a newton proximal extragradient method for monotone variational inequalities and inclusion problems.SIAM Journal on Optimization, 22(3):914–935, 2012.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Iteration-complexity of a newton proximal extragradient method for monotone variational inequalities and inclusion problems.SIAM Journal on Optimization, 22(3):914–935, 2012

Reference 46

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source=pdf_text observed=2026-08-14T04:48:52.403763Z digest=sha256:28371c20bc151f6f15a7f56caca95d04667d2cfb2c40d5e1fbfaebf2db81d1c4

Observation 261718dc-9060-45f5-b39f-c6a86e55071c · outbound

This paper cites An accelerated hybrid proximal extragradient method for convex optimization and its implications to second-order methods.SIAM Journal on Optimization, 23 (2):1092–1125, 2013.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities An accelerated hybrid proximal extragradient method for convex optimization and its implications to second-order methods.SIAM Journal on Optimization, 23 (2):1092–1125, 2013

Reference 47

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source=pdf_text observed=2026-08-14T04:48:52.407357Z digest=sha256:0a14ff2d3756e2b60dc05dac07dd9a1b40b37cbfad945e11213c6ff151b13f76

Observation 40081a6b-1444-4d52-9567-78721d1824e3 · outbound

This paper cites an unresolved cited work.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Unresolved cited work

Reference 48

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.411209Z digest=sha256:21cbb98efd0b569be91d0b097af44c55ca7c20e9162cd8e9cda8025f9223d91d

Observation 7a79c995-b8a3-45c7-9977-8ee2c1812fb6 · outbound

This paper cites Problem complexity and method efficiency in optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Problem complexity and method efficiency in optimization

Reference 49

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source=pdf_text observed=2026-08-14T04:48:52.414929Z digest=sha256:ef237abed4f4b19f41c7dec8d3f5efc9c4725bb1e27573e0dd883f0e90cc57d5

Observation 8be7eda2-78b8-434f-b600-dc0773b7fd28 · outbound

This paper cites A method for solving the convex programming problem with convergence rateO(1/k2).

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities A method for solving the convex programming problem with convergence rateO(1/k2)

Reference 50

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source=pdf_text observed=2026-08-14T04:48:52.418754Z digest=sha256:9b3a9912440ee1570a1aa7049f34addd49510ba075e8bee24ff029cd2cd381a6

Observation 7edc0a7e-8307-48bf-9106-a9e09cb35149 · outbound

This paper cites Dual extrapolation and its applications to solving variational inequalities and related problems.Mathematical Programming, 109(2-3):319–344, 2007.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Dual extrapolation and its applications to solving variational inequalities and related problems.Mathematical Programming, 109(2-3):319–344, 2007

Reference 51

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.422400Z digest=sha256:e57d8f2d24f8ae47b1f219626a694ba7e9a6647bcb6b1efca77e7cd292ecd291

Observation c2702443-bd4f-4dde-b83e-36bc52e316f1 · outbound

This paper cites Accelerating the cubic regularization of newton’s method on convex problems.Mathe- matical Programming, 112(1):159–181, 2008.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Accelerating the cubic regularization of newton’s method on convex problems.Mathe- matical Programming, 112(1):159–181, 2008

Reference 52

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source=pdf_text observed=2026-08-14T04:48:52.426274Z digest=sha256:ca41685793e4b1f41d9ed39641ea30614807d628210dd0d75d478e746cff4aa9

Observation 6c04920b-bbd3-4211-9f37-153df2770cd2 · outbound

This paper cites Lectures on convex optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Lectures on convex optimization

Reference 53

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source=pdf_text observed=2026-08-14T04:48:52.430127Z digest=sha256:0c7fd8f01c5a6bc39df52baaa8a7f3d2b4444a99aa8813f430b17971c7975443

Observation 1d13b401-4551-40eb-a193-d4e4c39bced3 · outbound

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

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities High-Order Reduced-Gradient Methods for Composite Variational Inequalities

Reference 54

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source=pdf_text observed=2026-08-14T04:48:52.433933Z digest=sha256:981c9964ff80a81d9c90285be2c989d7a999c6d968ac08682916ee219797fd4e

Observation 4b65352b-7f49-4473-82ee-0c71a6c1f41a · outbound

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

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Cubic regularization of newton method and its global performance

Reference 55

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source=pdf_text observed=2026-08-14T04:48:52.438170Z digest=sha256:747482632e93bb62f8022226e9593cb28695fa39f49f0662f651e7c90d3d4a24

Observation 2c2f0b53-96e3-4c24-9b17-4e446366fc5d · outbound

This paper cites Numerical optimization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Numerical optimization

Reference 56

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.441657Z digest=sha256:98a121c96c3347d0b8e980934611f75459dd905d41daa6eecb3617339891ec93

Observation 03e73654-a56a-4a70-a153-6d524f4dbf88 · outbound

This paper cites Tensor methods for strongly convex strongly concave saddle point problems and strongly monotone variational inequalities.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Tensor methods for strongly convex strongly concave saddle point problems and strongly monotone variational inequalities

Reference 57

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source=pdf_text observed=2026-08-14T04:48:52.445327Z digest=sha256:dca4a0eddee6e2b812463ac3e57a022625db72ef3e7d21eb28690f960976aa18

Observation 1c493fb5-d56c-4122-b6ea-b37e8e3b3383 · outbound

This paper cites Smoothing functions and smoothing newton method for complementarity and variational inequality problems.Journal of Optimization Theory and Applications, 113:121–147, 2002.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Smoothing functions and smoothing newton method for complementarity and variational inequality problems.Journal of Optimization Theory and Applications, 113:121–147, 2002

Reference 58

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source=pdf_text observed=2026-08-14T04:48:52.449384Z digest=sha256:2525775e1c1155b79aaae79707dfe621a411c9acb4bf355bea5ad747e4412147

Observation 5e3729d7-7c9a-4c7f-8c04-7d840cfb9345 · outbound

This paper cites Superlinear convergence of an interior-point method despite dependent constraints.Mathematics of Operations Research, 25(2):179–194, 2000.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Superlinear convergence of an interior-point method despite dependent constraints.Mathematics of Operations Research, 25(2):179–194, 2000

Reference 59

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source=pdf_text observed=2026-08-14T04:48:52.453022Z digest=sha256:84c71f51a79dacd1294d80044cc1ec34279565272e370a5eebd721f54aa94b2a

Observation 7a0deacd-fd27-40e3-9efe-c3e6d910d4c2 · outbound

This paper cites Tyrrell Rockafellar.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Tyrrell Rockafellar

Reference 60

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T04:48:52.456907Z digest=sha256:bd993b1f1460578f436999cbfea3a7cb8835a75b14917aeeee599e337793b810

Observation b63b472b-6e15-4f8f-a246-08e69d2cb606 · outbound

This paper cites Ryu and Stephen Boyd.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Ryu and Stephen Boyd

Reference 61

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source=pdf_text observed=2026-08-14T04:48:52.460895Z digest=sha256:edfe446c9a30ce4d5abfff014fb294655466b869920ea6d8e6aac9f2587fc861

Observation c0f45aec-8c72-42d0-b3cd-b79c5aab2530 · outbound

This paper cites ODE Analysis of Stochastic Gradient Methods with Optimism and Anchoring for Minimax Problems.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities ODE Analysis of Stochastic Gradient Methods with Optimism and Anchoring for Minimax Problems

Reference 62

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source=pdf_text observed=2026-08-14T04:48:52.464760Z digest=sha256:5b92f301a46eb174051aee915e6b061b392d6e6ae25b0dad15dc1b676d097405

Observation 5e9d48f6-b951-4d0f-96f4-a04192a254e9 · outbound

This paper cites Stochastic online auc maximization.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Stochastic online auc maximization

Reference 63

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source=pdf_text observed=2026-08-14T04:48:52.468629Z digest=sha256:869233435d1870f38b03e2b5a81bf50cc9f972a2797b8c6bcffb4a7cdfe416d5

Observation ffab9f99-944d-4132-ac62-1b1a31bb558e · outbound

This paper cites an unresolved cited work.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Unresolved cited work

Reference 64

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unresolved
raw_fallback, observed 2026-08-14T04:48:52.572492Z

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This paper cites Mitigating unwanted biases with adversarial learning.

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities Mitigating unwanted biases with adversarial learning

Reference 65

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