Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps | Paper Citation Record

Observation e2705bcf-cd08-4cff-bfb4-18d3b6de400f · outbound

This paper cites A complete characterization of the gap between convexity and sos-convexity.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A complete characterization of the gap between convexity and sos-convexity

Reference 1

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Observation e9e726b8-c654-45d4-b34f-3af147107932 · outbound

This paper cites Aleksandrov.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Aleksandrov

Reference 2

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Observation 246fce9f-61c6-4557-9855-10e8e766b39e · outbound

This paper cites Haeberly, and Michael L.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Haeberly, and Michael L

Reference 3

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Observation 5ab0a2ae-a6ef-43cc-b558-12791a08d9c3 · outbound

This paper cites Unsupervised hierarchy matching with optimal transport over hyperbolic spaces.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unsupervised hierarchy matching with optimal transport over hyperbolic spaces

Reference 4

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Observation 9dd05e0d-d5eb-4abb-bc41-96e9c1772605 · outbound

This paper cites On implementing a primal-dual interior-point method for conic quadratic optimization.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On implementing a primal-dual interior-point method for conic quadratic optimization

Reference 5

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Observation bdd3eda1-a2be-4389-a1f9-be1ca9c31527 · outbound

This paper cites Robust optimal transport with applications in generative modeling and domain adaptation.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Robust optimal transport with applications in generative modeling and domain adaptation

Reference 6

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Observation dc92e988-bb9c-4cd8-ba5c-6a475f12fa42 · outbound

This paper cites Froese, and Adam M.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Froese, and Adam M

Reference 7

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Observation 46d150d5-9dd2-479c-ad48-3d6b05513790 · outbound

This paper cites Lower bounds on adversarial robustness from optimal transport.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Lower bounds on adversarial robustness from optimal transport

Reference 8

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Observation cbf51618-758f-45aa-bb04-13efe30ff535 · outbound

This paper cites Parrilo, and Rekha R.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Parrilo, and Rekha R

Reference 9

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Observation 8622fcd1-275e-4aeb-a01f-5f48b0b7bd03 · outbound

This paper cites Real algebraic geometry, volume 36.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Real algebraic geometry, volume 36

Reference 10

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Observation 29341bef-aace-4100-9a8b-61c520507ede · outbound

This paper cites From optimal transport to generative modeling: the VEGAN cookbook.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps From optimal transport to generative modeling: the VEGAN cookbook

Reference 11

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Observation ca84de35-ec9e-4961-9ace-01b9816521b1 · outbound

This paper cites Polar factorization and monotone rearrangement of vector-valued functions.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Polar factorization and monotone rearrangement of vector-valued functions

Reference 12

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Observation e898f6ec-92f4-4aa4-9b00-958b395c29b9 · outbound

This paper cites R iemannian surfaces with an explicit distance function? MathOverflow, 2018.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps R iemannian surfaces with an explicit distance function? MathOverflow, 2018

Reference 13

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Observation c6e6b335-22f8-4987-824a-bf4ee33a9279 · outbound

This paper cites Supervised training of conditional M onge maps.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Supervised training of conditional M onge maps

Reference 14

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Observation 1e586119-09c0-4153-a4e2-738e299cbe0a · outbound

This paper cites Caffarelli.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Caffarelli

Reference 15

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Observation 52bf6cd6-def9-4fa6-9c40-8433a604d038 · outbound

This paper cites Functional portfolio optimization in stochastic portfolio theory.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Functional portfolio optimization in stochastic portfolio theory

Reference 16

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Observation dd661b7c-acd7-4c2d-b7bd-4c9822e0ef54 · outbound

This paper cites Optimal transport over a linear dynamical system.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Optimal transport over a linear dynamical system

Reference 17

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Observation fb965f14-dd34-4fb2-a961-744ca8f47878 · outbound

This paper cites Georgiou, and Michele Pavon.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Georgiou, and Michele Pavon

Reference 18

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Observation 030e38b5-bd16-4bef-a1df-533de782a613 · outbound

This paper cites Georgiou, and Michele Pavon.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Georgiou, and Michele Pavon

Reference 19

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Observation 629cdcfc-b757-45ce-a47e-116c6fed5a14 · outbound

This paper cites On the gap between positive polynomials and sos of polynomials.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the gap between positive polynomials and sos of polynomials

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:24.089051Z

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Observation 752c4d23-48ee-47f7-9ab6-acf3a4279e97 · outbound

This paper cites The M onge-- A mp \`e re equation and its link to optimal transportation.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps The M onge-- A mp \`e re equation and its link to optimal transportation

Reference 21

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Observation acc27280-7012-4479-8374-83fb458c48df · outbound

This paper cites Classical solvability in dimension two of the second boundary-value problem associated with the M onge- A mp\'ere operator.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Classical solvability in dimension two of the second boundary-value problem associated with the M onge- A mp\'ere operator

Reference 22

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Observation 2b5a1653-f3e0-42a2-9cd9-697212fd10a7 · outbound

This paper cites Neural Monge Map estimation and its applications.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Neural Monge Map estimation and its applications

Reference 23

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Observation 6c1cad1f-6f05-4825-b74c-7924c847ab17 · outbound

This paper cites Portfolio generating functions.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Portfolio generating functions

Reference 24

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Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 25

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Observation 6c55e245-99b8-4510-a154-1393677ecd9e · outbound

This paper cites Nearly round spheres look convex.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Nearly round spheres look convex

Reference 26

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Observation 832c9f50-3815-4b4c-a4a4-9a148cd76285 · outbound

This paper cites Pot: Python optimal transport.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Pot: Python optimal transport

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.966129Z

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Observation c974531b-94ed-4e4f-821a-266c9b50d7ba · outbound

This paper cites Convergent numerical method for the reflector antenna problem via optimal transport on the sphere.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Convergent numerical method for the reflector antenna problem via optimal transport on the sphere

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.945291Z

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Observation b175beb1-bbbc-41c5-b311-5f2bbafb1c33 · outbound

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Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 29

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Observation 0cb8c3b5-82d1-4946-b2b7-5a8e5caaa44c · outbound

This paper cites A generative model for texture synthesis based on optimal transport between feature distributions.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A generative model for texture synthesis based on optimal transport between feature distributions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.912599Z

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Observation 077299f3-3905-4d4b-9f37-9d2a29753071 · outbound

This paper cites Aligning Hyperbolic Representations: an Optimal Transport-based approach.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Aligning Hyperbolic Representations: an Optimal Transport-based approach

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:20:22.685617Z

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Observation 521e2715-c39d-4bcd-9a5d-d7d7a715400d · outbound

This paper cites Geodesic S inkhorn for fast and accurate optimal transport on manifolds.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Geodesic S inkhorn for fast and accurate optimal transport on manifolds

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.897223Z

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Observation d976606d-98a7-407f-b6ed-708068798004 · outbound

This paper cites Distinguished representations of strictly positive polynomials.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Distinguished representations of strictly positive polynomials

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.878021Z

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Observation 4499fb3f-d4d6-40be-a443-bf434a92b378 · outbound

This paper cites A fast approach to optimal transport: The back-and-forth method.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A fast approach to optimal transport: The back-and-forth method

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.855401Z

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Observation c72791cc-265e-4ee9-959a-8e748e007293 · outbound

This paper cites A faster interior point method for semidefinite programming.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A faster interior point method for semidefinite programming

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.821534Z

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Observation a8cc1ee7-92d3-463a-8cd3-df74b9b8f7b7 · outbound

This paper cites Sublevel set approximation in the H ausdorff and volume metric with application to path planning and obstacle avoidance.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Sublevel set approximation in the H ausdorff and volume metric with application to path planning and obstacle avoidance

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.801474Z

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Observation 10af0ae6-88db-4b11-b8a7-5a0800480407 · outbound

This paper cites Kantorovich.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Kantorovich

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.784415Z

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Observation 08e00836-0177-4c6f-9b8e-e7f9dfbab46d · outbound

This paper cites The K \"a hler geometry of certain optimal transport problems.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps The K \"a hler geometry of certain optimal transport problems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.761664Z

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Observation 7eaa27f3-8a71-4847-8699-14b495bbb991 · outbound

This paper cites A hall of statistical mirrors.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A hall of statistical mirrors

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.732045Z

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Observation d00aa9fb-6bcb-4b31-81c6-8192cd123039 · outbound

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Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.713362Z

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Observation e7226c0b-e14d-45d6-8226-5165ff42763b · outbound

This paper cites Sums of squares, moment matrices and optimization over polynomials.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Sums of squares, moment matrices and optimization over polynomials

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.671805Z

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Observation db876c4e-5f29-4709-a35b-319375250ec0 · outbound

This paper cites New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:20:22.652404Z

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Observation 495775b6-6df0-46cc-98ea-2f65534ea7d7 · outbound

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Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.648707Z

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Observation 978fef67-550d-438b-9338-09c3fac74c9f · outbound

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Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.624292Z

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Observation 2aeefa38-0c2d-4506-baa5-284fd428de5d · outbound

This paper cites Flow Matching for Generative Modeling.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Flow Matching for Generative Modeling

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.073176Z

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Observation 7b44a7f8-d11c-4ec3-b2f5-04162acd3384 · outbound

This paper cites On the regularity of solutions of optimal transportation problems.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the regularity of solutions of optimal transportation problems

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.605169Z

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Observation d789b243-5d75-4a32-813b-ad5d886d324e · outbound

This paper cites Regularity of optimal maps on the sphere: The quadratic cost and the reflector antenna.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Regularity of optimal maps on the sphere: The quadratic cost and the reflector antenna

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.589719Z

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Observation 39c2e572-2661-4f2c-aab0-604abbfc53f6 · outbound

This paper cites YALMIP : A toolbox for modeling and optimization in MATLAB.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps YALMIP : A toolbox for modeling and optimization in MATLAB

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.572738Z

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Observation 2cc9af15-11d9-4d58-b9c3-f7f81a1a917b · outbound

This paper cites Faster than the fast legendre transform, the linear-time legendre transform.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Faster than the fast legendre transform, the linear-time legendre transform

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.547481Z

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Observation 2aa4c7c1-43cc-4038-91a0-a186a7d3f285 · outbound

This paper cites Trudinger, and Xu-Jia Wang.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Trudinger, and Xu-Jia Wang

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.525091Z

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Observation f1e85237-3154-41a0-bf1b-9da64adbea83 · outbound

This paper cites Optimal transport mapping via input convex neural networks.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Optimal transport mapping via input convex neural networks

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.503828Z

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Observation 4bd555b7-23d1-4196-982b-f84a91b485c2 · outbound

This paper cites Plugin estimation of smooth optimal transport maps.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Plugin estimation of smooth optimal transport maps

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.490620Z

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Observation c3f73251-f6f0-4b97-8ecd-eb894bbf8432 · outbound

This paper cites Matrix Analysis and Applied Linear Algebra, volume 71.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Matrix Analysis and Applied Linear Algebra, volume 71

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.466604Z

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Observation ae49aa07-79e2-45c8-8afd-f55f9789f791 · outbound

This paper cites M \'e moire sur la th \'e orie des d \'e blais et des remblais.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps M \'e moire sur la th \'e orie des d \'e blais et des remblais

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.450766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8d22585d-f599-4398-958b-44e93250aa56 · outbound

This paper cites Wasserstein training of restricted B oltzmann machines.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Wasserstein training of restricted B oltzmann machines

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.435334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 37a93c0e-8746-41c6-80ed-f6997ef6a668 · outbound

This paper cites The arithmetic-geometric inequality, inequalities.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps The arithmetic-geometric inequality, inequalities

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.420000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a260ecd-d4b7-4dac-8617-eda2df234c71 · outbound

This paper cites Interior-point polynomial algorithms in convex programming.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Interior-point polynomial algorithms in convex programming

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.405159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4eff2aa0-cbb3-4091-9f99-02f11975a562 · outbound

This paper cites On the complexity of putinar's positivstellensatz.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the complexity of putinar's positivstellensatz

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.391027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fd83a0e1-bf8a-4a28-8f22-5c5ef0fa8fec · outbound

This paper cites On the complexity of P utinar's P ositivstellensatz.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the complexity of P utinar's P ositivstellensatz

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.375105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 46c08c18-e6dd-4ed3-b6d8-23f1fa0586b8 · outbound

This paper cites Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Designing freeform lenses for intensity and phase control of coherent light with help from geometry and mass transport

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.355561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14c54c37-8ee0-4859-bcc8-a87d74168243 · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.339388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 69156d2a-db5f-4132-9fda-b44f89c45146 · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.312784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5bc822aa-3b24-41d2-bd32-c5ef824d7486 · outbound

This paper cites SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.186373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ca87db8-38c2-4287-ad76-8fbd56767cb7 · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.296066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 891e08aa-9042-48ff-a1bb-e238e4b564ed · outbound

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

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Computational optimal transport: With applications to data science

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.198229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44f41839-88d3-4e46-a580-fb35646ca903 · outbound

This paper cites Minimax estimation of discontinuous optimal transport maps: The semi-discrete case.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Minimax estimation of discontinuous optimal transport maps: The semi-discrete case

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.260235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 90a16787-b9e4-4bc9-a546-596b123bc297 · outbound

This paper cites Neural Optimal Transport with Lagrangian Costs.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Neural Optimal Transport with Lagrangian Costs

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.209729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55dc10b4-c530-4f16-a76b-7a6b701ba10a · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.236268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ced7fe2-a4de-4e7f-8603-e2eabbde445f · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.219092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c8124bfb-14f8-4fd5-a420-7c0c6bec429d · outbound

This paper cites Positive polynomials: from H ilbert’s 17th problem to real algebra.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Positive polynomials: from H ilbert’s 17th problem to real algebra

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.203649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a2d08ee-1425-4c42-94de-1e54de56a002 · outbound

This paper cites Positive polynomials on compact semi-algebraic sets.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Positive polynomials on compact semi-algebraic sets

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.184608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f04dee97-c6d9-4128-a399-bef6b53beccf · outbound

This paper cites Some concrete aspects of H ilbert's 17th problem.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Some concrete aspects of H ilbert's 17th problem

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.161431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b725b833-5403-4596-b469-411c53f4588d · outbound

This paper cites Rockafellar.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Rockafellar

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.143401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b969e54a-f467-476b-87f7-7d8bea41c32f · outbound

This paper cites Generative Modeling with Optimal Transport Maps.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Generative Modeling with Optimal Transport Maps

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.263318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55075685-bd64-46a9-97ef-67e1e120372d · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:20:23.121492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e209bc15-3c84-45ad-9a5d-bad60de8cf12 · outbound

This paper cites Optimal transport for applied mathematicians.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Optimal transport for applied mathematicians

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.275954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86223f67-9829-4f81-82c1-6268541b7eed · outbound

This paper cites Large scale optimal transport and mapping estimation.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Large scale optimal transport and mapping estimation

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.086953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 51f6331a-6d44-4be5-a44b-7b10e20a6a20 · outbound

This paper cites SOSOPT: A Toolbox for Polynomial Optimization.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps SOSOPT: A Toolbox for Polynomial Optimization

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.286011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd6cc7c9-c61d-4d1d-bf80-a0031137658e · outbound

This paper cites Simplification Methods for Sum-of-Squares Programs.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Simplification Methods for Sum-of-Squares Programs

Reference 79

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:20:22.503789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1341539d-1d7c-4419-9f61-63135fba5a56 · outbound

This paper cites Convolutional W asserstein distances: Efficient optimal transportation on geometric domains.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Convolutional W asserstein distances: Efficient optimal transportation on geometric domains

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.058500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ab2eceb1-78c1-4190-86cc-b49388e592e7 · outbound

This paper cites A decision method for elementary algebra and geometry.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A decision method for elementary algebra and geometry

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.036380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ddfac458-f849-475d-8b07-42dbf862267e · outbound

This paper cites Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schr\"odinger Bridge and Reaction-Diffusion PDEs.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schr\"odinger Bridge and Reaction-Diffusion PDEs

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:20:22.474252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c10b6a4-dbc1-473f-9de2-8e9e0f9f8eb1 · outbound

This paper cites Trudinger and Xu-Jia Wang.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Trudinger and Xu-Jia Wang

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:23.008259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7db476d-5d4c-47a8-bfc7-0bb38a5d3a30 · outbound

This paper cites On the second boundary value problem for equations of M onge- A mp \`e re type.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the second boundary value problem for equations of M onge- A mp \`e re type

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.988244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c75dae72-6f1e-48dd-a958-e0f1d355b024 · outbound

This paper cites Optimal transport: O ld and N ew , volume 338.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Optimal transport: O ld and N ew , volume 338

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.968771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 808dd43c-a809-442c-b87f-b7d6169a3277 · outbound

This paper cites Topics in optimal transportation, volume 58.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Topics in optimal transportation, volume 58

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.347109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b5cd20d-ef4a-415f-ab45-cbcc98063cc8 · outbound

This paper cites Hyperml: A boosting metric learning approach in hyperbolic space for recommender systems.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Hyperml: A boosting metric learning approach in hyperbolic space for recommender systems

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.938412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 627d475b-baa5-4c09-a571-389bb62bfd6c · outbound

This paper cites On the design of a reflector antenna.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps On the design of a reflector antenna

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.907309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a1c56504-7bbb-4b3b-8486-408552ff1405 · outbound

This paper cites Spherical and hyperbolic embeddings of data.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Spherical and hyperbolic embeddings of data

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.373791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69533646-8975-4fb1-8778-71efe756aee5 · outbound

This paper cites Primal-dual interior-point methods.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Primal-dual interior-point methods

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.871307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 11c2a43d-14f2-4884-91e9-ac3df3902387 · outbound

This paper cites A M onge-- A mp \`e re problem with non-quadratic cost function to compute freeform lens surfaces.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps A M onge-- A mp \`e re problem with non-quadratic cost function to compute freeform lens surfaces

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:20:22.846305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 60827ec9-0be5-4c34-8d0d-074cbe258335 · outbound

This paper cites write newline.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps write newline

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.392313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c9fbe74-4445-4c6f-91a2-b4d673f4af88 · outbound

This paper cites @esa (Ref.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps @esa (Ref

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.399145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 443680ca-5cf0-45e0-8a7b-561ba09b6cee · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.405215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c375073-4408-4eda-bb6d-ce4ae0ccb762 · outbound

This paper cites an unresolved cited work.

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps Unresolved cited work

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-11T13:20:22.411783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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