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Paper Citation Record · LEDGER

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets

As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2602.22608.

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

pith.paper-citation-record.v1
2602.22608 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:54:16.401959Z

measured 31 of 31 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 2026-05-22T04:22:05.402926Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T04:24:35.404663Z

Reference resolution

29 of 29 outbound references displayed

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External citation measurements

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Outbound references

Observation d8dee3c2-d3c0-412b-9e79-d24efb3a9c46 · outbound

This paper cites Faster rates for the Frank-Wolfe method over strongly-convex sets.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Faster rates for the Frank-Wolfe method over strongly-convex sets

Reference 1

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source=pdf_text observed=2026-08-02T20:54:13.930005Z digest=sha256:e63c1607a2ec3357b5ad3328d7744a0cdd95a36391fb359880975ac718c1714e

Observation d36aed1e-601b-4ccf-ac2d-5efc346a990e · outbound

This paper cites Combettes, Hamed Hassani, Amin Karbasi, Aryan Mokhtari, and Sebastian Pokutta.Conditional gradient methods: From core principles to AI applications.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Combettes, Hamed Hassani, Amin Karbasi, Aryan Mokhtari, and Sebastian Pokutta.Conditional gradient methods: From core principles to AI applications

Reference 2

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source=pdf_text observed=2026-08-02T20:54:14.013136Z digest=sha256:c3c6b6467602bc0c01835987771593b00e0fe12cc24b7189f27b2b04e26572d7

Observation 9c6297e7-6bba-4cb2-8836-874a954b3b4f · outbound

This paper cites Strong convexity of sets and functions.Journal of Mathematical Economics, 9(1-2):187–205, 1982.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Strong convexity of sets and functions.Journal of Mathematical Economics, 9(1-2):187–205, 1982

Reference 3

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source=pdf_text observed=2026-08-02T20:54:14.085523Z digest=sha256:be96b5ba9a092f8b413c2d72030c62469a261cbeecd0a946446a152b194aa776

Observation e9fcc2f5-03aa-47b6-8610-7202eda7f380 · outbound

This paper cites Gauges and accelerated optimization over smooth and/or strongly convex sets, 2023.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Gauges and accelerated optimization over smooth and/or strongly convex sets, 2023

Reference 4

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source=pdf_text observed=2026-08-02T20:54:14.174782Z digest=sha256:03e5cd2f0d21b896e7c29d737b08f49a06fd562cea424aed92706dd891d232f8

Observation 8a2e9c80-833f-445a-bd2b-352ebf33aba1 · outbound

This paper cites On the global linear convergence of Frank-Wolfe optimization variants.Advances in neural information processing systems, 28, 2015.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets On the global linear convergence of Frank-Wolfe optimization variants.Advances in neural information processing systems, 28, 2015

Reference 5

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source=pdf_text observed=2026-08-02T20:54:14.258833Z digest=sha256:15c0bcbb7e4364f1e589db13d1b26bf8b1c057667ac2c5386d303eb232366628

Observation e7b67b21-8e77-499d-aea7-b52595a253af · outbound

This paper cites Linearly convergent away-step conditional gradient for non-strongly convex functions.Mathematical Programming, 164(1):1–27, 2017.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Linearly convergent away-step conditional gradient for non-strongly convex functions.Mathematical Programming, 164(1):1–27, 2017

Reference 6

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source=pdf_text observed=2026-08-02T20:54:14.370185Z digest=sha256:eb898c725bb88452319e320fb74ebc2b750e2e511b1fa3cd26033743cf31cd97

Observation 317cbcce-9207-4016-b214-f2507396b8c5 · outbound

This paper cites Pairwise conditional gradients without swap steps and sparser kernel herding.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Pairwise conditional gradients without swap steps and sparser kernel herding

Reference 7

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source=pdf_text observed=2026-08-02T20:54:14.471893Z digest=sha256:88ecb6d71418b9993f4bc96e8478cd70d3398d967a92c64cf2b362c000895f26

Observation 5db4e90d-093c-4052-9045-4d632900f248 · outbound

This paper cites An extension of the Frank and Wolfe method of feasible directions.Mathematical Programming, 6(1):14–27, 1974.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets An extension of the Frank and Wolfe method of feasible directions.Mathematical Programming, 6(1):14–27, 1974

Reference 8

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source=pdf_text observed=2026-08-02T20:54:14.541297Z digest=sha256:4d2ce455f90caf4ee30ac57a4dfdb3d813861f847e4fcbeb28a7c371f63f4ff5

Observation a78067b9-9fbf-4134-9e47-072d0207b0ea · outbound

This paper cites Blended conditional gradients.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Blended conditional gradients

Reference 9

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source=pdf_text observed=2026-08-02T20:54:14.595759Z digest=sha256:76973c6289fead48f21716680f49234f1bbd146fdee33370b2c6725cda379eaa

Observation 3f2bb55d-d024-405a-8f2c-40fcd2e66b11 · outbound

This paper cites An algorithm for quadratic programming.Naval research logistics quarterly, 3(1-2):95–110, 1956.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets An algorithm for quadratic programming.Naval research logistics quarterly, 3(1-2):95–110, 1956

Reference 10

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source=pdf_text observed=2026-08-02T20:54:14.679315Z digest=sha256:1f7d16f0998cbf49edf80427de61aafe30ff320803c597c21dc428ae1bdd68cc

Observation 05ea03db-1653-4407-8497-a2cdf3a45866 · outbound

This paper cites Revisiting Frank-Wolfe: Projection-free sparse convex optimization.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Revisiting Frank-Wolfe: Projection-free sparse convex optimization

Reference 11

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source=pdf_text observed=2026-08-02T20:54:14.793084Z digest=sha256:05892454259d1ab99e176acb35b7c9eb4d398ddbacecd9e5ce9514248141d37a

Observation 739e71b5-061a-4684-92b7-1f9ce288d2a0 · outbound

This paper cites The complexity of large-scale convex programming under a linear optimization oracle,.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets The complexity of large-scale convex programming under a linear optimization oracle,

Reference 12

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source=pdf_text observed=2026-08-02T20:54:14.859475Z digest=sha256:6c985abc91aa7b978a1edb6504c4f314f7b3ce9cbe028b28cf02dfef52c2b25c

Observation fbede5de-13da-4bda-8854-a54beca3658f · outbound

This paper cites Lower Bounds for Frank-Wolfe on Strongly Convex Sets.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Lower Bounds for Frank-Wolfe on Strongly Convex Sets

Reference 13

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source=pdf_text observed=2026-08-02T20:54:14.916202Z digest=sha256:0ba363bb2bf47509e39c4dfdbd57b65be3610d1c0112493165109ad329cd61ca

Observation 471ecd9e-9d98-475a-a5ef-b6ed1dc4ab95 · outbound

This paper cites Wiley-Interscience Series in Discrete Mathematics.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Wiley-Interscience Series in Discrete Mathematics

Reference 14

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source=pdf_text observed=2026-08-02T20:54:15.041398Z digest=sha256:29e151b55633e66260e37b26d6ed3b7a3e19a22222733264c6f087e58448b095

Observation 47b54ac1-2406-4bef-ad4b-18b749f84d30 · outbound

This paper cites Performance of first-order methods for smooth convex minimization: a novel approach.Mathematical Programming, 145(1):451–482, 2014.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Performance of first-order methods for smooth convex minimization: a novel approach.Mathematical Programming, 145(1):451–482, 2014

Reference 15

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source=pdf_text observed=2026-08-02T20:54:15.170766Z digest=sha256:938aa3139f4602be5a46f2e9a1cd9e54e35d0d289b0fb993f5846fb86cb3e6b8

Observation 07209d1a-2625-4d88-9c4e-dd3cf133cef7 · outbound

This paper cites Smooth strongly convex interpolation and exact worst-case performance of first-order methods.Mathematical Programming, 161:307–345, 2017.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Smooth strongly convex interpolation and exact worst-case performance of first-order methods.Mathematical Programming, 161:307–345, 2017

Reference 16

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source=pdf_text observed=2026-08-02T20:54:15.226556Z digest=sha256:ea283a74437c0b6a4f9e76d6d698792720994ad5259cc8ead47d796ee02b4d80

Observation 82cf32f5-ab38-4155-a0e3-5bb9813bd1f6 · outbound

This paper cites Exact worst-case performance of first-order methods for composite convex optimization.SIAM Journal on Optimization, 27(3):1283–1313, 2017.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Exact worst-case performance of first-order methods for composite convex optimization.SIAM Journal on Optimization, 27(3):1283–1313, 2017

Reference 17

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source=pdf_text observed=2026-08-02T20:54:15.301126Z digest=sha256:3cdb661e6f656b14f8083a7406aba31f25fb5df53502ab15700493d16b344e9b

Observation a80aa2c4-7898-4bdb-9502-bab6852d8e06 · outbound

This paper cites Optimized first-order methods for smooth convex minimization.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Optimized first-order methods for smooth convex minimization

Reference 18

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source=pdf_text observed=2026-08-02T20:54:15.371394Z digest=sha256:6018923c96456ec5a59739860385889a37169b92af38af6b6b0bebaeb92370e9

Observation 42e5b682-9f14-4d73-96b4-911ccc9e5fc4 · outbound

This paper cites The exact information-based complexity of smooth convex minimization.Journal of Complexity, 39:1–16, 2017.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets The exact information-based complexity of smooth convex minimization.Journal of Complexity, 39:1–16, 2017

Reference 19

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source=pdf_text observed=2026-08-02T20:54:15.467766Z digest=sha256:dc08f97737aecf899853324e1fd3a09699609d9acba915c3b3f3db820a226249

Observation f6c80078-b47b-452b-a0ef-7f574673ab4c · outbound

This paper cites Performance Estimation for Smooth and Strongly Convex Sets.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Performance Estimation for Smooth and Strongly Convex Sets

Reference 20

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source=pdf_text observed=2026-08-02T20:54:15.532939Z digest=sha256:894f8cbb4eb686996e566adefbe90f92eb2dd25b0c53bcd8a9b2a23ae0b23577

Observation 45ea1120-1a70-41b2-a379-827b98ab6419 · outbound

This paper cites an unresolved cited work.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-02T20:54:15.580450Z digest=sha256:335e505415446fa8598fc0ddd808e17bd889e6dac59644ec3a6dabc414bfbb46

Observation c57d9d19-820c-461b-99ad-bd74ed33588d · outbound

This paper cites Accelerated affine-invariant convergence rates of the Frank–Wolfe algorithm with open-loop step-sizes.Mathematical Programming, 214(1–2):201–245, 2025.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Accelerated affine-invariant convergence rates of the Frank–Wolfe algorithm with open-loop step-sizes.Mathematical Programming, 214(1–2):201–245, 2025

Reference 22

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source=pdf_text observed=2026-08-02T20:54:15.678295Z digest=sha256:eb7e736289bb9feb60b7c1866444541857c16dd1d7f043c000396774fec59240

Observation 1e54f890-160a-446b-afc7-849a37e2a98d · outbound

This paper cites Fast convergence of Frank-Wolfe algorithms on polytopes.Mathematics of Operations Research, 2025.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Fast convergence of Frank-Wolfe algorithms on polytopes.Mathematics of Operations Research, 2025

Reference 23

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source=pdf_text observed=2026-08-02T20:54:15.767364Z digest=sha256:2dfb112a3bc6fe236800e227ef8b1bb3660d42b5e0aab9c82959895bc596c8db

Observation a52fa30f-2d29-4fa1-aa6c-b54d43aac9aa · outbound

This paper cites Efficient.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Efficient

Reference 24

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source=pdf_text observed=2026-08-02T20:54:15.813131Z digest=sha256:3a8397afd678e9f98fc0286bc57b8837158ca03cd35db626ea9edaab5ad89012

Observation df27f66d-21de-4752-ab77-25176044874b · outbound

This paper cites Radial duality part i: foundations.Mathematical Programming, 205(1–2):33–68, 2024.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Radial duality part i: foundations.Mathematical Programming, 205(1–2):33–68, 2024

Reference 25

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source=pdf_text observed=2026-08-02T20:54:15.887330Z digest=sha256:efbee763b7e9d2c55300273a138d851c7398a32bb8bcb23eb64d1d838090b588

Observation 61f704f1-4737-4812-9d56-4e8816fda962 · outbound

This paper cites Radial duality part ii: applications and algorithms.Mathematical Programming, 205(1–2):69–105, 2023.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Radial duality part ii: applications and algorithms.Mathematical Programming, 205(1–2):69–105, 2023

Reference 26

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source=pdf_text observed=2026-08-02T20:54:15.939548Z digest=sha256:794a5d4d2c9cc1e6d0a7269518c02024819cec6973e5319b51d41ca8f82e775c

Observation 1c3ea8da-cf99-4df1-98e9-9f0a02cc090b · outbound

This paper cites Efficient projection-free online convex optimization with membership oracle.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Efficient projection-free online convex optimization with membership oracle

Reference 27

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source=pdf_text observed=2026-08-02T20:54:16.088566Z digest=sha256:35e8e78c4eb29d7efb6ddf02dce2b4a13f47e80c4de3251c131b6ac66ba76579

Observation 4cfb1910-3582-4800-908a-d92e389d1298 · outbound

This paper cites Projection-free adaptive regret with membership oracles.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Projection-free adaptive regret with membership oracles

Reference 28

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source=pdf_text observed=2026-08-02T20:54:16.221936Z digest=sha256:2976723cf49375093e77baf01bfd65c4ba1a1a17d7a0d0c6527d174fd91781f9

Observation 719b0960-98e8-4494-9996-eb6172484432 · outbound

This paper cites Scalable Projection-Free Optimization Methods via MultiRadial Duality Theory.

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets Scalable Projection-Free Optimization Methods via MultiRadial Duality Theory

Reference 29

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source=pdf_text observed=2026-08-02T20:54:16.401959Z digest=sha256:d86c5e6fb4350346af3f8f769b354ed7b4d119fc242aad282807cee73a9c35a7

Pith citing papers

Observation c8e5c149-2789-4f62-a309-806e0f36d9db · inbound

Local LMO: Constrained Gradient Optimization via a Local Linear Minimization Oracle cites this paper.

Local LMO: Constrained Gradient Optimization via a Local Linear Minimization Oracle Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets

Reference 44

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arxiv_id, observed 2026-07-15T02:22:01.225620Z

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

source=arxiv_source observed=2026-05-12T01:18:15.063363Z digest=sha256:b5afe1e91b8978189b0b04f1154185f40222602596e8cc96a5645edcf1046874

Observation 8a86808c-2533-4488-845c-1642e7f93a86 · inbound

A conditional-gradient-based single-loop augmented Lagrangian method for inequality constrained optimization cites this paper.

A conditional-gradient-based single-loop augmented Lagrangian method for inequality constrained optimization Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets

Reference 30

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arxiv_id, observed 2026-07-15T02:22:01.225620Z

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source=pdf_text observed=2026-05-22T04:22:05.402926Z digest=sha256:65c78013710e7a7ff6d91b4530f68ba11c48fdf1cbf4db27c4bb2e4ce4acfd70