Paper Citation Record · LEDGER

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.19176.

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2607.19176 v1

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measured 43 of 43 reference resolution

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measured 43 of 43 standing notices

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43 of 43 outbound references displayed

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Outbound references

Observation 631538f2-8d6a-44b2-a01f-7583a8096200 · outbound

This paper cites Springer, Cham, 2013.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Springer, Cham, 2013

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:09.896489Z

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Observation cf1d3d2a-f6bd-417b-9d6f-161b6a6e9e4f · outbound

This paper cites Bobkov and Michel Ledoux.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Bobkov and Michel Ledoux

Reference 2

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Observation c28580a3-d088-4d53-97dd-3ea59651a20a · outbound

This paper cites Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations

Reference 3

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Observation 28f31750-606a-4f91-8187-ef1b03305a59 · outbound

This paper cites Theodorou.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Theodorou

Reference 4

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Observation a75e1caa-376e-413b-90bc-e40f1daeb2e1 · outbound

This paper cites A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn’s algorithm.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn’s algorithm

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:10.306913Z

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Observation 03edf801-e456-425b-b1be-ee0a97697322 · outbound

This paper cites Weak semiconvexity estimates for Schr¨ odinger potentials and logarithmic Sobolev inequality for Schr¨ odinger bridges.Probability Theory and Related Fields, 189:1045–1071, 2024.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Weak semiconvexity estimates for Schr¨ odinger potentials and logarithmic Sobolev inequality for Schr¨ odinger bridges.Probability Theory and Related Fields, 189:1045–1071, 2024

Reference 6

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Observation c06f9b56-09ed-4c92-8a78-6dda0b155779 · outbound

This paper cites Quantitative contraction rates for Sinkhorn's algorithm: beyond bounded costs and compact marginals.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Quantitative contraction rates for Sinkhorn's algorithm: beyond bounded costs and compact marginals

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:10.497542Z

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Observation 90072bad-c224-4eed-b638-259c9d009395 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.Advances in neural information processing systems, 26, 2013.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Sinkhorn distances: Lightspeed computation of optimal transport.Advances in neural information processing systems, 26, 2013

Reference 8

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Observation 3bce9086-36ed-4b65-ae95-c3bfe695a3a7 · outbound

This paper cites Diffusion Schr¨ odinger bridge with applications to score-based generative modeling.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Diffusion Schr¨ odinger bridge with applications to score-based generative modeling

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:10.747017Z

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Observation aa628e7d-b732-4b6e-bad9-d5e4657c3c73 · outbound

This paper cites Hilbert’s projective metric for functions of bounded growth and exponential conver- gence of Sinkhorn’s algorithm.Probability Theory and Related Fields, 193(1–2):585–621, 2025.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Hilbert’s projective metric for functions of bounded growth and exponential conver- gence of Sinkhorn’s algorithm.Probability Theory and Related Fields, 193(1–2):585–621, 2025

Reference 10

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Observation 9e37ae9a-19f0-4e11-a326-dbc42e1be4e3 · outbound

This paper cites Quantitative stability of regularized optimal transport and conver- gence of Sinkhorn’s algorithm.SIAM Journal on Mathematical Analysis, 54(6):5922–5948, 2022.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Quantitative stability of regularized optimal transport and conver- gence of Sinkhorn’s algorithm.SIAM Journal on Mathematical Analysis, 54(6):5922–5948, 2022

Reference 11

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Observation 26dceef3-842e-4dcb-96de-bede1a68b784 · outbound

This paper cites Georgiou.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Georgiou

Reference 12

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Observation dd7b3463-367c-4f07-91ca-0b2c2fba9400 · outbound

This paper cites Georgiou.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Georgiou

Reference 13

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Observation 8937939a-1260-48bd-bc78-91acb04bf581 · outbound

This paper cites Random fields and diffusion processes.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Random fields and diffusion processes

Reference 14

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Observation 4a492157-deec-42b8-806a-e13e0530a971 · outbound

This paper cites On the convergence rate of Sinkhorn’s algorithm.Mathematics of Operations Research, 51(2):1080–1096, 2025.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching On the convergence rate of Sinkhorn’s algorithm.Mathematics of Operations Research, 51(2):1080–1096, 2025

Reference 15

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Observation 4cdbd65b-5a6d-4fde-b982-85cc77c6d20d · outbound

This paper cites Non-asymptotic con- vergence bounds for Sinkhorn iterates and their gradients: a coupling approach.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Non-asymptotic con- vergence bounds for Sinkhorn iterates and their gradients: a coupling approach

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:11.533076Z

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Observation c98b54ac-8bed-44a2-bfcc-87ac42b6bda9 · outbound

This paper cites Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:11.602260Z

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Observation 76054d25-3f9a-453b-a000-016de4890882 · outbound

This paper cites Risk management of guaranteed minimum benefits under a regime-switching jump-diffusion model.Numerical Algebra, Control and Optimization, 15(1):52–76, 2025.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Risk management of guaranteed minimum benefits under a regime-switching jump-diffusion model.Numerical Algebra, Control and Optimization, 15(1):52–76, 2025

Reference 18

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Observation 8be35354-72ae-4ed4-a19e-5ddd660ee402 · outbound

This paper cites Entropic optimal transport problem with convex functional cost.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Entropic optimal transport problem with convex functional cost

Reference 19

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Observation 848250e8-3270-4c98-acc2-c9ec67a43b47 · outbound

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Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Unresolved cited work

Reference 20

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Observation a3112d5c-063f-4260-b0a0-056a9f97bdb5 · outbound

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Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:12.057460Z

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Observation 08223761-7541-4a95-b52a-7c618b356eb2 · outbound

This paper cites A survey of the Schr¨ odinger problem and some of its connections with optimal transport.Discrete and Continuous Dynamical Systems - A, 34(4):1533–1574, 2014.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching A survey of the Schr¨ odinger problem and some of its connections with optimal transport.Discrete and Continuous Dynamical Systems - A, 34(4):1533–1574, 2014

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:12.131193Z

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Observation e5131530-98ab-4e71-a7b6-bc3087cd6f69 · outbound

This paper cites Lieberman.Second Order Parabolic Differential Equations.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Lieberman.Second Order Parabolic Differential Equations

Reference 23

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Observation 692f7795-1642-4113-8408-593d50d5dd08 · outbound

This paper cites I 2SB: Image-to-image Schr¨ odinger bridge.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching I 2SB: Image-to-image Schr¨ odinger bridge

Reference 24

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Observation fce17d6b-e814-40af-81fb-674154ce300a · outbound

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Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Unresolved cited work

Reference 25

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Observation 0bd2c5a6-0258-4f36-9161-d9ae8f045521 · outbound

This paper cites Stochastic population dynamics under regime switching.Journal of Mathe- matical Analysis and Applications, 334(1):69–84, October 2007.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Stochastic population dynamics under regime switching.Journal of Mathe- matical Analysis and Applications, 334(1):69–84, October 2007

Reference 26

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Observation ae9cf6f8-4b8e-4428-b525-c46958d6c168 · outbound

This paper cites Introduction to entropic optimal transport, 2022.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Introduction to entropic optimal transport, 2022

Reference 27

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Observation 0f965afd-fc28-4585-8e03-dc9df5b0651a · outbound

This paper cites Stability of Schr¨ odinger potentials and convergence of Sinkhorn’s algorithm.The Annals of Probability, 51(2):699–722, 2023.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Stability of Schr¨ odinger potentials and convergence of Sinkhorn’s algorithm.The Annals of Probability, 51(2):699–722, 2023

Reference 28

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Observation ed6876c3-8e39-425c-b874-23e3ce96bc7e · outbound

This paper cites Oxtoby et al.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Oxtoby et al

Reference 29

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Observation 623bd056-ff34-49ca-8303-15cfeeedc8a9 · outbound

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Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Unresolved cited work

Reference 30

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Observation 78cdff18-bd51-4ce3-93f6-29ef4d7e3347 · outbound

This paper cites Sur la th´ eorie relativiste de l’´ electron et l’interpr´ etation de la m´ ecanique quantique.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Sur la th´ eorie relativiste de l’´ electron et l’interpr´ etation de la m´ ecanique quantique

Reference 31

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Observation 7dbda7df-2989-49ba-b1a0-4ad8bb083517 · outbound

This paper cites Aligned diffusion Schr¨ odinger bridges.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Aligned diffusion Schr¨ odinger bridges

Reference 32

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Observation 9b571ff0-2414-4465-8bf2-fa55aa0fc4b2 · outbound

This paper cites Tay et al.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Tay et al

Reference 33

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Observation af831ceb-6645-4c21-81cd-6d24cd211071 · outbound

This paper cites Therneau and Fang-Shu Ou.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Therneau and Fang-Shu Ou

Reference 34

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Observation 0297e4ba-d2f1-415d-a237-3bb41363fed7 · outbound

This paper cites Tong, Nikolay Malkin, Kilian Fatras, Lazar Atanackovic, Yanlei Zhang, Guillaume Huguet, Guy Wolf, and Yoshua Bengio.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Tong, Nikolay Malkin, Kilian Fatras, Lazar Atanackovic, Yanlei Zhang, Guillaume Huguet, Guy Wolf, and Yoshua Bengio

Reference 35

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Observation 88cb5848-3c95-464c-b287-aea3019033b6 · outbound

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Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Unresolved cited work

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Observation 3c3cc5f4-d93d-4ab3-be5d-a041cdcf3953 · outbound

This paper cites Department of Health and Human Services.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Department of Health and Human Services

Reference 37

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Observation 9333c133-fdbd-47cc-b8cf-8f05bdc14ee6 · outbound

This paper cites Deep generative learning via Schr¨ odinger bridge.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Deep generative learning via Schr¨ odinger bridge

Reference 38

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Observation f130e8d1-2a0d-4c8b-b798-3ab1e6530838 · outbound

This paper cites George Yin and Chao Zhu.Hybrid Switching Diffusions: Properties and Applications, volume 63 of Stochastic Modelling and Applied Probability.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching George Yin and Chao Zhu.Hybrid Switching Diffusions: Properties and Applications, volume 63 of Stochastic Modelling and Applied Probability

Reference 39

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Observation 3aa5b30e-9d30-41d3-a8f9-e2446c7bd736 · outbound

This paper cites Stock trading: An optimal selling rule.SIAM Journal on Control and Optimization, 40(1):64–87, 2001.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Stock trading: An optimal selling rule.SIAM Journal on Control and Optimization, 40(1):64–87, 2001

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:14.083625Z

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Observation 1fce526c-0d20-45a7-9d5a-d53b5b4ecc10 · outbound

This paper cites Schr\"odinger Bridge Problem for Jump Diffusions.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching Schr\"odinger Bridge Problem for Jump Diffusions

Reference 41

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Observation 2a348577-6187-40f0-a8b6-07f38ae3629d · outbound

This paper cites A regime-switching approach to the unbalanced Schr¨ odinger bridge problem.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching A regime-switching approach to the unbalanced Schr¨ odinger bridge problem

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:14.247356Z

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Observation 2723e6dc-9f02-4fe4-ae0a-ee6a90e9d3c1 · outbound

This paper cites The Schr¨ odinger bridge problem for jump diffusions with regime switching.

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching The Schr¨ odinger bridge problem for jump diffusions with regime switching

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T13:18:14.314166Z

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