Paper Citation Record · LEDGER

Entropic approximations of the semigeostrophic shallow water equations

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2507.16415.

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pith.paper-citation-record.v1
2507.16415 v1

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measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:16:36.287259Z

measured 39 of 39 standing notices

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Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation 3990b783-dbc5-4264-9307-56857da20eab · outbound

This paper cites Hamiltonian ODE s in the W asserstein space of probability measures.

Entropic approximations of the semigeostrophic shallow water equations Hamiltonian ODE s in the W asserstein space of probability measures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:41.884386Z

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Observation d115db4f-ad9f-4ad3-b9dd-42f8f0d01b9f · outbound

This paper cites Entropic optimal transport solutions of the semigeostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations Entropic optimal transport solutions of the semigeostrophic equations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:41.698687Z

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Entropic approximations of the semigeostrophic shallow water equations Unresolved cited work

Reference 3

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Observation 7fc5a3a1-5f02-4584-86fc-0899020caec5 · outbound

This paper cites J., aug 2020 b.

Entropic approximations of the semigeostrophic shallow water equations J., aug 2020 b

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:16:36.179413Z

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Observation c86fcaf0-7418-4dc0-b1d1-c0eecfe809d1 · outbound

This paper cites Semi-discrete optimal transport methods for the semi-geostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations Semi-discrete optimal transport methods for the semi-geostrophic equations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:41.541132Z

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Observation d0a9ec73-24ce-45f7-9959-220403baa1dd · outbound

This paper cites Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:16:36.702981Z

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Observation fcb92394-57dd-41dc-80dd-af4992a4815e · outbound

This paper cites Convergence of entropic schemes for optimal transport and gradient flows.

Entropic approximations of the semigeostrophic shallow water equations Convergence of entropic schemes for optimal transport and gradient flows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:41.286533Z

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Observation 506eb03d-30cd-4d99-b91c-d357afc2f63e · outbound

This paper cites Well-posedness and convergence of entropic approximation of semi-geostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations Well-posedness and convergence of entropic approximation of semi-geostrophic equations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:16:36.516134Z

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Observation 8f9f0aad-7edc-4399-ae08-be90985b04a2 · outbound

This paper cites Unbalanced optimal transport: Models, numerical methods, applications.

Entropic approximations of the semigeostrophic shallow water equations Unbalanced optimal transport: Models, numerical methods, applications

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:41.102910Z

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Observation de917aeb-8c7c-415d-9507-d69a7c1aa864 · outbound

This paper cites Scaling algorithms for unbalanced optimal transport problems.

Entropic approximations of the semigeostrophic shallow water equations Scaling algorithms for unbalanced optimal transport problems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:40.825166Z

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Observation 1c4ac2cf-1c43-4dfe-9dc7-13887df48ec0 · outbound

This paper cites Faster W asserstein distance estimation with the S inkhorn divergence.

Entropic approximations of the semigeostrophic shallow water equations Faster W asserstein distance estimation with the S inkhorn divergence

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:40.645303Z

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Observation cec780bc-cdc1-4c34-96ce-220ad15ea327 · outbound

This paper cites A formula for the time derivative of the entropic cost and applications.

Entropic approximations of the semigeostrophic shallow water equations A formula for the time derivative of the entropic cost and applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:40.417264Z

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Observation e4ea15aa-e78a-4bcc-9ba5-2981b4c16e3b · outbound

This paper cites The use of semigeostrophic theory to diagnose the behaviour of an atmospheric GCM.

Entropic approximations of the semigeostrophic shallow water equations The use of semigeostrophic theory to diagnose the behaviour of an atmospheric GCM

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:40.136752Z

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Observation 70356708-fe75-449c-9be8-6462d0f52319 · outbound

This paper cites A variational approach for the 2-dimensional semi-geostrophic shallow water equations.

Entropic approximations of the semigeostrophic shallow water equations A variational approach for the 2-dimensional semi-geostrophic shallow water equations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.959298Z

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Observation 95f7c71a-00b8-4fae-a1b2-e4ce7d08f848 · outbound

This paper cites The fully compressible semi-geostrophic system from meteorology.

Entropic approximations of the semigeostrophic shallow water equations The fully compressible semi-geostrophic system from meteorology

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.671344Z

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Observation 90e33932-899c-4544-bf90-e8acfe4cd442 · outbound

This paper cites Properties of the L agrangian semigeostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations Properties of the L agrangian semigeostrophic equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.478175Z

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Observation bf2a94bb-f13d-47b0-906b-72ab65d69dd5 · outbound

This paper cites A geometric model of the nonlinear equilibration of two-dimensional E ady waves.

Entropic approximations of the semigeostrophic shallow water equations A geometric model of the nonlinear equilibration of two-dimensional E ady waves

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.378882Z

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Observation fe88d998-2648-4aec-a884-7f2d42d7d192 · outbound

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Entropic approximations of the semigeostrophic shallow water equations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:16:39.297406Z

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Observation dd06f823-35b0-4a73-ad12-9c4115e6e7a3 · outbound

This paper cites an unresolved cited work.

Entropic approximations of the semigeostrophic shallow water equations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:16:39.216044Z

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Observation c6fd7d69-bfbd-4254-af67-da2c9a4fed83 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Entropic approximations of the semigeostrophic shallow water equations Sinkhorn distances: Lightspeed computation of optimal transport

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.127106Z

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Observation 0597af3b-78e0-4cc8-b2b9-1e75e54c5672 · outbound

This paper cites An optimal transport approach for the S chr \"o dinger bridge problem and convergence of S inkhorn algorithm.

Entropic approximations of the semigeostrophic shallow water equations An optimal transport approach for the S chr \"o dinger bridge problem and convergence of S inkhorn algorithm

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:39.013691Z

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Observation 1dff989f-11fd-41b2-ac6d-ad3f44f1c0cd · outbound

This paper cites P., Bourne, D.

Entropic approximations of the semigeostrophic shallow water equations P., Bourne, D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.889709Z

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Observation e4a52de7-9252-4f31-9809-2bc508dbc985 · outbound

This paper cites Convex Analysis and Variational Problems.

Entropic approximations of the semigeostrophic shallow water equations Convex Analysis and Variational Problems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.763633Z

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Observation b175557e-c8e3-47a7-9bde-a11ddeb6e553 · outbound

This paper cites Interpolating between optimal transport and MMD using Sinkhorn divergences.

Entropic approximations of the semigeostrophic shallow water equations Interpolating between optimal transport and MMD using Sinkhorn divergences

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.649243Z

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Observation 47cb3d42-f493-4e76-9b0f-f86423c2256c · outbound

This paper cites Learning generative models with S inkhorn divergences.

Entropic approximations of the semigeostrophic shallow water equations Learning generative models with S inkhorn divergences

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.544477Z

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Observation b04862ac-4bce-46c3-af1e-a38f7c2c7e89 · outbound

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Entropic approximations of the semigeostrophic shallow water equations Unresolved cited work

Reference 26

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Observation b4ccb502-553f-4173-a983-18200926ecc0 · outbound

This paper cites J., 1971.

Entropic approximations of the semigeostrophic shallow water equations J., 1971

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.442756Z

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Observation 93abc006-3315-4f0d-a6b2-8442a303d3af · outbound

This paper cites J., 1975.

Entropic approximations of the semigeostrophic shallow water equations J., 1975

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.305856Z

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Observation 620822f6-fab8-4dfc-b52f-10d610a8d64e · outbound

This paper cites Convergence of a N ewton algorithm for semi-discrete optimal transport.

Entropic approximations of the semigeostrophic shallow water equations Convergence of a N ewton algorithm for semi-discrete optimal transport

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.187842Z

Source-reported events for the cited work

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Observation 1cd1ce8a-f67b-4eca-8b42-aca4359b064e · outbound

This paper cites A semi-discrete optimal transport scheme for the 3 D incompressible semi-geostrophic equations.

Entropic approximations of the semigeostrophic shallow water equations A semi-discrete optimal transport scheme for the 3 D incompressible semi-geostrophic equations

Reference 30

Resolution: verified exact; raw_fallback, observed 2026-08-06T15:16:36.450327Z

Source-reported events for the cited work

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Observation 6fee9e42-cacf-4e64-a243-3f95eeda5b85 · outbound

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Entropic approximations of the semigeostrophic shallow water equations Unresolved cited work

Reference 31

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Source-reported events for the cited work

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Observation bbbf8f34-bf64-4f99-b0eb-97742b80ff93 · outbound

This paper cites A multiscale approach to optimal transport.

Entropic approximations of the semigeostrophic shallow water equations A multiscale approach to optimal transport

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:38.083168Z

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

Observation 27268d91-93c7-49d6-afcf-0a8768ec3e48 · outbound

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

Entropic approximations of the semigeostrophic shallow water equations A unified analysis of extra-gradient and optimistic gradient methods for saddle point problems: Proximal point approach

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:37.958334Z

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

Observation 5c901997-7658-4f6e-877a-4d7b2f64f0b3 · outbound

This paper cites On the difference between entropic cost and the optimal transport cost.

Entropic approximations of the semigeostrophic shallow water equations On the difference between entropic cost and the optimal transport cost

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:37.758646Z

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

Observation 36382571-7632-46ce-961f-e885493cee0c · outbound

This paper cites Computational optimal transport: with applications to data science.

Entropic approximations of the semigeostrophic shallow water equations Computational optimal transport: with applications to data science

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:37.535112Z

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

Observation 9ffb0343-46a6-48e7-8587-3bec09d9d194 · outbound

This paper cites Debiaser Beware: Pitfalls of Centering Regularized Transport Maps.

Entropic approximations of the semigeostrophic shallow water equations Debiaser Beware: Pitfalls of Centering Regularized Transport Maps

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:16:36.351919Z

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

Observation 58e210d1-dea3-4590-a327-9a17190b2028 · outbound

This paper cites Lagrangian discretization of variational problems in W asserstein spaces.

Entropic approximations of the semigeostrophic shallow water equations Lagrangian discretization of variational problems in W asserstein spaces

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:37.337620Z

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

Observation 21a1dbb3-0a80-45ab-8e64-d62672f9c901 · outbound

This paper cites Stabilized sparse scaling algorithms for entropy regularized transport problems.

Entropic approximations of the semigeostrophic shallow water equations Stabilized sparse scaling algorithms for entropy regularized transport problems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:37.092408Z

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Observation 900c11c4-bc4f-4cbf-b711-dd3f14890faf · outbound

This paper cites Parcel stability and its relation to semigeostrophic theory.

Entropic approximations of the semigeostrophic shallow water equations Parcel stability and its relation to semigeostrophic theory

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:16:36.874052Z

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