Paper Citation Record · LEDGER

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation

As of 22 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.16782.

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

pith.paper-citation-record.v1
2607.16782 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:06:08.915256Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact1
verified fuzzy0
unresolved45
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External citation measurements

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Outbound references

Observation 9f4fdbfa-a956-40d9-a597-e7448f96ac0a · outbound

This paper cites An in depth look at the Procrustes-Wasserstein distance: properties and barycenters.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation An in depth look at the Procrustes-Wasserstein distance: properties and barycenters

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:04.905612Z

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Unavailable: canonical work link unavailable.

Observation af4932ce-65c7-40bf-96a1-edec1467d84a · outbound

This paper cites Optimal transportation under nonholonomic constraints.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Optimal transportation under nonholonomic constraints

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.051927Z

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Observation b7874fdc-8014-4f31-b994-fa521ce6b329 · outbound

This paper cites Agrachev and Yuri L.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Agrachev and Yuri L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.155280Z

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Observation fe6edd88-264f-4042-b2aa-3721b49ffea2 · outbound

This paper cites Towards optimal transport with global invariances.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Towards optimal transport with global invariances

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.276430Z

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Observation ea91b7d4-0753-4645-ba78-39ccc5bd39d9 · outbound

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Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 5

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Observation 2ad3d144-c8c0-4368-8689-9a2deb3e5044 · outbound

This paper cites Wasserstein generative adversarial networks.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Wasserstein generative adversarial networks

Reference 6

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Observation 93137e0e-8d74-488e-a46b-8e8a486e861d · outbound

This paper cites A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.514344Z

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Observation c59962e8-db0f-4ea3-bcc4-c5e245ffa3e2 · outbound

This paper cites Gradient convergence in gradient methods with errors.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Gradient convergence in gradient methods with errors

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.578582Z

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Observation 03c376ab-3fba-4a40-8411-fe9745021182 · outbound

This paper cites Springer Science & Business Media, 2013.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Springer Science & Business Media, 2013

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.646449Z

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Observation 279bbd57-f2f6-4698-a26b-3d82b904662d · outbound

This paper cites Multi-level adaptive solutions to boundary-value problems.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Multi-level adaptive solutions to boundary-value problems

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.720026Z

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Unavailable: canonical work link unavailable.

Observation 1438326f-1579-47a8-a671-9af8b12c54ce · outbound

This paper cites an unresolved cited work.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 11

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Source-reported events for the cited work

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Observation 1eda1b3d-b112-4c46-a472-a5d1fbe6ba80 · outbound

This paper cites Covariance-modulated optimal transport and gradient flows.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Covariance-modulated optimal transport and gradient flows

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.826749Z

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Observation 4d87f091-cf1a-4c42-922f-2e253d7ce93f · outbound

This paper cites A first-order primal-dual algorithm for convex prob- lems with applications to imaging.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A first-order primal-dual algorithm for convex prob- lems with applications to imaging

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.897352Z

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Observation 4b02ba3c-0114-47f4-b50b-c9fc0c8c1df4 · outbound

This paper cites On the ergodic convergence rates of a first-order primal–dual algorithm.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation On the ergodic convergence rates of a first-order primal–dual algorithm

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:05.964571Z

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Observation 3ddab8b9-b2bc-4f7f-9439-3a699d36102b · outbound

This paper cites Optimal transport over a linear dynamical system.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Optimal transport over a linear dynamical system

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.052433Z

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Observation 93e566f3-9ae3-4c37-8d10-02b9da4d38e2 · outbound

This paper cites McGraw- Hill New York, 1955.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation McGraw- Hill New York, 1955

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.151520Z

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Observation ee57e8a4-171a-4a07-b1c0-1332afb8ee5e · outbound

This paper cites Optimal transport for domain adaptation.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Optimal transport for domain adaptation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.252251Z

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Observation 30a5fb72-afcf-4ac4-b1bb-b1f9f72c3262 · outbound

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

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Sinkhorn distances: Lightspeed computation of optimal transport

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.359060Z

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Observation ec80549f-1924-4621-8bca-82fffd723f56 · outbound

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Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.423169Z

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Observation 01fd3f30-e6df-4060-8ba3-0ab0f9909597 · outbound

This paper cites an unresolved cited work.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.480289Z

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Observation 610b51a6-6150-4526-8c40-ee150441813f · outbound

This paper cites The Fr´ echet distance between multivariate normal distributions.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation The Fr´ echet distance between multivariate normal distributions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.574515Z

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Observation 65d498fd-0c0c-42e4-a4c1-da193fbf958b · outbound

This paper cites SIAM, 1999.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation SIAM, 1999

Reference 22

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Observation 3a2a102d-bb79-4f0d-a8eb-7a6491b5b92d · outbound

This paper cites Dynamical optimal trans- port of nonlinear control-affine systems.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Dynamical optimal trans- port of nonlinear control-affine systems

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.693778Z

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Observation bff9ce10-b8c2-4219-8b73-b67d416f6cd6 · outbound

This paper cites Finite volume methods.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Finite volume methods

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:06.787054Z

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Observation e7e546ef-4199-4ab4-9860-70211d4ea60e · outbound

This paper cites Differential manifolds.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Differential manifolds

Reference 25

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Observation fed204ef-5a72-4096-aa0d-4ccf02988868 · outbound

This paper cites Adaptive Primal-Dual Hybrid Gradient Methods for Saddle-Point Problems.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Adaptive Primal-Dual Hybrid Gradient Methods for Saddle-Point Problems

Reference 26

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Observation 83d6f644-a9f7-44bb-87b2-737bd72a031f · outbound

This paper cites Unsupervised alignment of embed- dings with Wasserstein procrustes.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unsupervised alignment of embed- dings with Wasserstein procrustes

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:07.049031Z

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Observation cb53c6e1-1e67-458b-a70f-354dfae23011 · outbound

This paper cites Cambridge University press, 1994.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Cambridge University press, 1994

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:07.117964Z

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Observation 65e88580-2fd7-4d67-8400-54f50a3e9a61 · outbound

This paper cites Solving large-scale optimization problems with a convergence rate independent of grid size.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Solving large-scale optimization problems with a convergence rate independent of grid size

Reference 29

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Observation 0aa3accd-4369-4021-8db5-88a522f06b62 · outbound

This paper cites A Primal-Dual-Assisted Penalty Approach to Bilevel Optimization with Cou- pled Constraints.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A Primal-Dual-Assisted Penalty Approach to Bilevel Optimization with Cou- pled Constraints

Reference 30

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Observation 048a6b83-833e-473e-9d6e-d46245e936fd · outbound

This paper cites A geometric study of Wasserstein spaces: Euclidean spaces.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A geometric study of Wasserstein spaces: Euclidean spaces

Reference 31

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Observation eebbd0b4-fbec-497d-a0a3-943c5c6f396e · outbound

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Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 32

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Observation 416410d0-4a4e-4315-8ba6-a1f34b19bc50 · outbound

This paper cites A multigrid approach to discretized optimization problems.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A multigrid approach to discretized optimization problems

Reference 33

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Observation a58f3b2b-4972-43b6-82f2-be9acb9cf080 · outbound

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Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:07.737346Z

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Observation 3eea17e9-f5d1-431e-8eb7-4bbb56607bf3 · outbound

This paper cites Springer, 2006.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Springer, 2006

Reference 35

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Observation 86cb5dff-0050-4fbc-9574-5b6c354638d2 · outbound

This paper cites The geometry of dissipative evolution equations: The porous medium equation.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation The geometry of dissipative evolution equations: The porous medium equation

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:07.966483Z

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Observation c2f2e465-45d2-438a-b446-6495f7c574dc · outbound

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

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Computational optimal transport: With applications to data science

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.031198Z

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Observation 6bd906e6-ce9a-4c9a-af50-89744f9d38f5 · outbound

This paper cites Diagonal preconditioning for first order primal-dual algorithms in convex optimization.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Diagonal preconditioning for first order primal-dual algorithms in convex optimization

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.146967Z

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Observation 4594eb34-b212-4545-9c49-48a8f2229e71 · outbound

This paper cites A unified convergence analysis of block successive minimization methods for nonsmooth optimization.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation A unified convergence analysis of block successive minimization methods for nonsmooth optimization

Reference 39

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Observation 452ff249-6dc4-443d-be24-e0ae6101b4f4 · outbound

This paper cites an unresolved cited work.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.352313Z

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Observation 4d56f352-3b0f-409f-827c-f9d10fe6c13d · outbound

This paper cites Penalty-Based First-Order Methods for Bilevel Optimization with Minimax and Constrained Lower-Level Problems.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Penalty-Based First-Order Methods for Bilevel Optimization with Minimax and Constrained Lower-Level Problems

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.463740Z

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Unavailable: canonical work link unavailable.

Observation 49653b8e-bfd9-4877-8621-a4fc7f40949d · outbound

This paper cites Optimistic Bilevel Optimization with Composite Lower-Level Problem.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Optimistic Bilevel Optimization with Composite Lower-Level Problem

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.547446Z

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Observation c69c5163-0b32-4ecb-9217-73c84bad2339 · outbound

This paper cites Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.640170Z

Source-reported events for the cited work

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Observation a34885d5-cb4f-4521-b36a-a0f3d9ad7b74 · outbound

This paper cites Convergence of a block coordinate descent method for nondifferentiable mini- mization.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Convergence of a block coordinate descent method for nondifferentiable mini- mization

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.739970Z

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Unavailable: canonical work link unavailable.

Observation 854aa2e9-f687-4413-b9f1-05b9a79b56f2 · outbound

This paper cites an unresolved cited work.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.823673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65724b9e-e69f-49c7-86ed-73696f249cca · outbound

This paper cites Overcoming lower-level constraints in bilevel optimization: A novel approach with regularized gap functions.

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation Overcoming lower-level constraints in bilevel optimization: A novel approach with regularized gap functions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T20:06:08.915256Z

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