Paper Citation Record · LEDGER

Duality between polyhedral approximation of value functions and optimal quantization of measures

As of 7 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2509.04101.

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2509.04101 v1

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measured 39 of 39 reference resolution

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39 of 39 outbound references displayed

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Outbound references

Observation 30ab0389-56a8-4bd1-acc8-da42490ad4dd · outbound

This paper cites an unresolved cited work.

Duality between polyhedral approximation of value functions and optimal quantization of measures Unresolved cited work

Reference 1

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This paper cites A max-plus-based algorithm for a hamilton–jacobi–bellman equation of nonlinear filtering,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A max-plus-based algorithm for a hamilton–jacobi–bellman equation of nonlinear filtering,

Reference 2

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This paper cites A curse-of-dimensionality-free numerical method for solution of certain HJB PDEs,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A curse-of-dimensionality-free numerical method for solution of certain HJB PDEs,

Reference 3

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Observation cbacb5e4-7518-46e5-91db-c4aa0f4d28dc · outbound

This paper cites The max-plus finite element method for solving deterministic optimal control problems: Basic properties and convergence analysis,.

Duality between polyhedral approximation of value functions and optimal quantization of measures The max-plus finite element method for solving deterministic optimal control problems: Basic properties and convergence analysis,

Reference 4

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This paper cites Curse of dimensionality reduction in max-plus based approximation methods: theoretical es- timates and improved pruning algorithms,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Curse of dimensionality reduction in max-plus based approximation methods: theoretical es- timates and improved pruning algorithms,

Reference 5

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Observation be1fe437-b99f-416b-897a-1b6d6cfef142 · outbound

This paper cites Optimal stochastic operations scheduling of large hydro- electric systems,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Optimal stochastic operations scheduling of large hydro- electric systems,

Reference 6

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Observation ba9f2487-a962-4205-8bd7-2f318f7f358c · outbound

This paper cites Ironing, sweeping, and multidimensional screening,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Ironing, sweeping, and multidimensional screening,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.227405Z

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Observation 4f8fbb98-6e4e-4f07-9b76-851d6db954ac · outbound

This paper cites A numerical approach to variational problems subject to convexity constraint,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A numerical approach to variational problems subject to convexity constraint,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.218735Z

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Observation 1547adfe-fc02-423c-a695-b58c905c77bb · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures An algorithm for computing solutions of variational problems with global convexity constraints,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.209456Z

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Observation 7d4d26f1-93c6-44cf-8506-46ef5343cdde · outbound

This paper cites Nonlinear pricing with finite information,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Nonlinear pricing with finite information,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.200221Z

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Observation c2d5c83e-eb16-47e8-bdae-b8134c3b2e4d · outbound

This paper cites Delalande, Quantitative Stability in Quadratic Optimal Transport.

Duality between polyhedral approximation of value functions and optimal quantization of measures Delalande, Quantitative Stability in Quadratic Optimal Transport

Reference 11

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Observation 6881e947-a19b-4176-91cd-ffd3420cd064 · outbound

This paper cites Quantitative stability of optimal trans- port maps under variations of the target measure,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Quantitative stability of optimal trans- port maps under variations of the target measure,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.180904Z

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Observation a4f96772-5250-4633-bbd8-1e0c4510e515 · outbound

This paper cites Clustering to minimize the maximum intercluster distance,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Clustering to minimize the maximum intercluster distance,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.170389Z

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Observation 356bff93-adab-4543-9a15-239e8cb27317 · outbound

This paper cites Reduced- complexity numerical method for optimal gate synthesis,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Reduced- complexity numerical method for optimal gate synthesis,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.159872Z

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Observation 7004713f-07e6-4040-b15c-cc238ea2b5a0 · outbound

This paper cites A reduced complexity min-plus solution method to the optimal control of closed quantum systems,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A reduced complexity min-plus solution method to the optimal control of closed quantum systems,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.150739Z

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Observation 6b8e3b6f-fe29-4eef-b1dc-8a5798cc32dd · outbound

This paper cites Bundle-based pruning in the max-plus curse of dimensionality free method,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Bundle-based pruning in the max-plus curse of dimensionality free method,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.141433Z

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Observation 491809d9-a0d2-4842-b197-b6297d8d63e9 · outbound

This paper cites A quantiza- tion procedure for nonlinear pricing with an application to electricity markets,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A quantiza- tion procedure for nonlinear pricing with an application to electricity markets,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.130970Z

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Observation fd12c1d7-c8c7-4eb5-a000-7745e391f6a8 · outbound

This paper cites The principle of least action and fundamental solutions of mass-spring and n-body two-point boundary value problems,.

Duality between polyhedral approximation of value functions and optimal quantization of measures The principle of least action and fundamental solutions of mass-spring and n-body two-point boundary value problems,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.119641Z

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Observation 9a3f78aa-0172-461e-937d-c76cc4909374 · outbound

This paper cites On the convergence of stochastic dual dynamic programming and related methods,.

Duality between polyhedral approximation of value functions and optimal quantization of measures On the convergence of stochastic dual dynamic programming and related methods,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.110025Z

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Observation 84b525b1-543d-4fe3-9af5-5e081d23727e · outbound

This paper cites Exact converging bounds for stochastic dual dynamic programming via fenchel duality,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Exact converging bounds for stochastic dual dynamic programming via fenchel duality,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.100159Z

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Observation 75fdad40-1af7-4a4d-8f05-9d157d4b7a90 · outbound

This paper cites an unresolved cited work.

Duality between polyhedral approximation of value functions and optimal quantization of measures Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:30:05.090295Z

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Observation dcdbffc0-0851-4bd7-a1b6-68e046264f5c · outbound

This paper cites Approximation of convex sets by polytopes,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Approximation of convex sets by polytopes,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.080314Z

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Observation 76a5416a-2dcf-4f41-9ae2-5a4f3b71e8ac · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures Submodular function maximization.,

Reference 23

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Observation 70c6cc4c-d475-407a-8177-9e31b99eac18 · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures Greedy minimization of weakly supermodular set functions,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.064111Z

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Observation de4621aa-565c-40a9-9696-64893fc46225 · outbound

This paper cites Curse-of- complexity attenuation in the curse-of-dimensionality-free method for HJB PDEs,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Curse-of- complexity attenuation in the curse-of-dimensionality-free method for HJB PDEs,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.054951Z

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Observation 90a6396e-8e37-434e-ba75-3cfd18706fe0 · outbound

This paper cites Pag `es, H.

Duality between polyhedral approximation of value functions and optimal quantization of measures Pag `es, H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.045052Z

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Observation ce2c88c6-8b6a-443a-8334-b9d2abd50ead · outbound

This paper cites Non-asymptotic convergence bounds for wasserstein approximation using point clouds,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Non-asymptotic convergence bounds for wasserstein approximation using point clouds,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.034960Z

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Observation 3849bbf8-040a-48cb-b968-c9c956c3beec · outbound

This paper cites Villani, Optimal Transport.

Duality between polyhedral approximation of value functions and optimal quantization of measures Villani, Optimal Transport

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.025175Z

Source-reported events for the cited work

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Observation 67a51ce5-0bea-4ef2-95a1-9edafa316bee · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures Polar factorization and monotone rearrangement of vector- valued functions,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.015954Z

Source-reported events for the cited work

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Observation 48db55b6-5ebf-41da-9b01-52008528ba1b · outbound

This paper cites The Monge-Amp\`ere equation and its link to optimal transportation.

Duality between polyhedral approximation of value functions and optimal quantization of measures The Monge-Amp\`ere equation and its link to optimal transportation

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:30:04.915693Z

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Observation b8ab2071-0e16-4043-b4dd-a3ae31133cca · outbound

This paper cites van Ackooij and W.

Duality between polyhedral approximation of value functions and optimal quantization of measures van Ackooij and W

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:05.006311Z

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Observation 56e4cfc2-3740-4ddc-a308-321a7f6bff94 · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:30:04.996923Z

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Observation a7a53a30-28e9-4873-93f3-82f9147fa126 · outbound

This paper cites Variational principles for minkowski type problems, discrete optimal transport, and discrete monge–amp`ere equations,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Variational principles for minkowski type problems, discrete optimal transport, and discrete monge–amp`ere equations,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.987092Z

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This paper cites An algorithm for optimal transport between a simplex soup and a point cloud,.

Duality between polyhedral approximation of value functions and optimal quantization of measures An algorithm for optimal transport between a simplex soup and a point cloud,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.974474Z

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Observation 8163ccec-e24f-4141-bfd5-23ca56daed9f · outbound

This paper cites Initialization procedures for discrete and semi-discrete optimal transport,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Initialization procedures for discrete and semi-discrete optimal transport,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.964919Z

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Observation bf8ec4ac-e635-41c9-8b38-2516958bab0e · outbound

This paper cites H ¨ormander, Notions of convexity.

Duality between polyhedral approximation of value functions and optimal quantization of measures H ¨ormander, Notions of convexity

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.955090Z

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Observation ac31183a-fa5e-42e3-97b4-fcb8c24d21b3 · outbound

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Duality between polyhedral approximation of value functions and optimal quantization of measures Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:30:04.946053Z

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Observation acceb006-14ac-401d-888b-294fd078ff2e · outbound

This paper cites A general solution to the quasi linear screening problem,.

Duality between polyhedral approximation of value functions and optimal quantization of measures A general solution to the quasi linear screening problem,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.936365Z

Source-reported events for the cited work

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Observation f585d9de-0825-49f0-8bd7-cb391dffbc55 · outbound

This paper cites Simulations multi- agents de l’activit ´e humaine: application dans le contexte ´energ´etique r´esidentiel franc ¸ais,.

Duality between polyhedral approximation of value functions and optimal quantization of measures Simulations multi- agents de l’activit ´e humaine: application dans le contexte ´energ´etique r´esidentiel franc ¸ais,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:30:04.926479Z

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