Principal Curves In Metric Spaces And The Space Of Probability Measures | Paper Citation Record

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This paper cites Barycenters in the wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Barycenters in the wasserstein space

Reference 1

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This paper cites Ambrosio and P.

Principal Curves In Metric Spaces And The Space Of Probability Measures Ambrosio and P

Reference 2

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This paper cites A user’s guide to optimal transport.

Principal Curves In Metric Spaces And The Space Of Probability Measures A user’s guide to optimal transport

Reference 3

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This paper cites Gradient flows: in metric spaces and in the space of probability measures.

Principal Curves In Metric Spaces And The Space Of Probability Measures Gradient flows: in metric spaces and in the space of probability measures

Reference 4

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This paper cites The traveling salesman problem: a computational study, volume 17.

Principal Curves In Metric Spaces And The Space Of Probability Measures The traveling salesman problem: a computational study, volume 17

Reference 5

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This paper cites Atkins, Erik G.

Principal Curves In Metric Spaces And The Space Of Probability Measures Atkins, Erik G

Reference 6

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Observation 3d91e72c-a1f2-44ca-b949-e1c9dde16a9d · outbound

This paper cites Rademacher and gaussian complexities: Risk bounds and structural results.

Principal Curves In Metric Spaces And The Space Of Probability Measures Rademacher and gaussian complexities: Risk bounds and structural results

Reference 7

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This paper cites Second-order models for optimal transport and cubic splines on the wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Second-order models for optimal transport and cubic splines on the wasserstein space

Reference 8

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This paper cites Parameter Selection for Principal Curves.

Principal Curves In Metric Spaces And The Space Of Probability Measures Parameter Selection for Principal Curves

Reference 9

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Observation 1a87143e-a7bd-45d7-ba51-25ebfa4fd40b · outbound

This paper cites Dhillon, and Robert A.

Principal Curves In Metric Spaces And The Space Of Probability Measures Dhillon, and Robert A

Reference 10

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Observation 0ecc3c6b-c6a3-4074-b2a9-e3625590e08b · outbound

This paper cites Geodesic PCA in the Wasserstein space by convex PCA.

Principal Curves In Metric Spaces And The Space Of Probability Measures Geodesic PCA in the Wasserstein space by convex PCA

Reference 11

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Observation cd4c189b-9642-443e-8fe6-154e3551b82c · outbound

This paper cites On the mean speed of convergence of empirical and occupation measures in Wasserstein distance.

Principal Curves In Metric Spaces And The Space Of Probability Measures On the mean speed of convergence of empirical and occupation measures in Wasserstein distance

Reference 12

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Observation 7aac5b19-5b75-4130-a0a2-3391e0469229 · outbound

This paper cites Γ-convergence for beginners, volume 22 of of Oxford Lecture Series in Mathematics and its Applications.

Principal Curves In Metric Spaces And The Space Of Probability Measures Γ-convergence for beginners, volume 22 of of Oxford Lecture Series in Mathematics and its Applications

Reference 13

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Observation 4b183c80-2e41-4c91-8873-3138d0cd6720 · outbound

This paper cites A course in metric geometry.

Principal Curves In Metric Spaces And The Space Of Probability Measures A course in metric geometry

Reference 14

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Observation 62c48d3e-193a-4395-b16a-6f46b2057aaa · outbound

This paper cites Optimal transportation problems with free dirichlet regions.

Principal Curves In Metric Spaces And The Space Of Probability Measures Optimal transportation problems with free dirichlet regions

Reference 15

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Observation f2b625ee-d780-4591-af24-12d6ac40d191 · outbound

This paper cites Hierarchical integral probability metrics: A distance on random probability measures with low sample com- plexity.

Principal Curves In Metric Spaces And The Space Of Probability Measures Hierarchical integral probability metrics: A distance on random probability measures with low sample com- plexity

Reference 16

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Observation 507ae0ec-7a43-449c-9428-8936483a96d3 · outbound

This paper cites Geodesic pca versus log-pca of histograms in the wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Geodesic pca versus log-pca of histograms in the wasserstein space

Reference 17

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Observation 8f853836-cb88-484a-b89a-b49fdc7d8b0f · outbound

This paper cites Wasserstein regression.

Principal Curves In Metric Spaces And The Space Of Probability Measures Wasserstein regression

Reference 18

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Observation bbc36178-3394-4c58-9978-120a70eb61e8 · outbound

This paper cites Genovese, and Larry Wasserman.

Principal Curves In Metric Spaces And The Space Of Probability Measures Genovese, and Larry Wasserman

Reference 19

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Observation 83ae405e-464d-4d1b-8fa3-70895739a660 · outbound

This paper cites Measure-valued spline curves: An optimal transport viewpoint.

Principal Curves In Metric Spaces And The Space Of Probability Measures Measure-valued spline curves: An optimal transport viewpoint

Reference 20

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Observation c713c2f9-f217-4c8b-ae4d-1d71112855d4 · outbound

This paper cites Fast and smooth interpolation on wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Fast and smooth interpolation on wasserstein space

Reference 21

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Observation bd327367-6cb2-463e-9b50-2219e582e99f · outbound

This paper cites Doubly Regularized Entropic Wasserstein Barycenters.

Principal Curves In Metric Spaces And The Space Of Probability Measures Doubly Regularized Entropic Wasserstein Barycenters

Reference 22

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Observation 0575f96b-0caf-458a-b6d3-910c43d6b36f · outbound

This paper cites Trajectory inference via mean-field langevin in path space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Trajectory inference via mean-field langevin in path space

Reference 23

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Observation 3484940c-52f9-40b8-9815-a8f1581a1120 · outbound

This paper cites Spectral graph theory, volume 92 of Regional Conference Series in Mathematics.

Principal Curves In Metric Spaces And The Space Of Probability Measures Spectral graph theory, volume 92 of Regional Conference Series in Mathematics

Reference 24

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Observation 4054baa2-51de-4d8e-a6e6-714717a18f98 · outbound

This paper cites Fast computation of wasserstein barycenters.

Principal Curves In Metric Spaces And The Space Of Probability Measures Fast computation of wasserstein barycenters

Reference 25

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Observation 5c5c3cdd-515b-40de-8945-b618661046b1 · outbound

This paper cites Best approximation properties of spline functions of odd degree.

Principal Curves In Metric Spaces And The Space Of Probability Measures Best approximation properties of spline functions of odd degree

Reference 26

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Observation 84adb841-5661-4942-b625-cf255e178666 · outbound

This paper cites Selected Papers.

Principal Curves In Metric Spaces And The Space Of Probability Measures Selected Papers

Reference 27

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Observation 79f43a45-8b31-42b0-b66a-d7fe60c5cf10 · outbound

This paper cites On principal curves with a length constraint.

Principal Curves In Metric Spaces And The Space Of Probability Measures On principal curves with a length constraint

Reference 28

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Observation f49ef88b-7af1-4cfe-9022-3bb0cf3bc41d · outbound

This paper cites Another look at principal curves and surfaces.

Principal Curves In Metric Spaces And The Space Of Probability Measures Another look at principal curves and surfaces

Reference 29

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Observation 69969af4-35a8-4694-8299-64866fe83181 · outbound

This paper cites an unresolved cited work.

Principal Curves In Metric Spaces And The Space Of Probability Measures Unresolved cited work

Reference 30

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Observation 8b4f05da-6d41-42c8-8167-609121885e99 · outbound

This paper cites Extremal properties of principal curves in the plane.

Principal Curves In Metric Spaces And The Space Of Probability Measures Extremal properties of principal curves in the plane

Reference 31

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Observation 1adbe4bf-3e5e-465f-9ee5-436c6364f673 · outbound

This paper cites Optimal rates of statistical seriation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Optimal rates of statistical seriation

Reference 32

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This paper cites Spectral ranking using seriation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Spectral ranking using seriation

Reference 33

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Observation 5af6b408-301e-425f-be1e-873e9c869bf8 · outbound

This paper cites The geometry of nonparametric filament estimation.

Principal Curves In Metric Spaces And The Space Of Probability Measures The geometry of nonparametric filament estimation

Reference 34

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Observation 5f61159f-6909-4c7e-a7e1-b834b8292797 · outbound

This paper cites Nonparametric ridge estimation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Nonparametric ridge estimation

Reference 35

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Observation 998f1af3-ab60-4fb3-834c-d97701de2c21 · outbound

This paper cites Regularization-free principal curve estimation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Regularization-free principal curve estimation

Reference 36

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Observation f8e1874b-927f-4fa4-a01c-cfddc8d90e82 · outbound

This paper cites Flinders petrie, the travelling salesman problem, and the beginning of mathematical modeling in archaeol- ogy.

Principal Curves In Metric Spaces And The Space Of Probability Measures Flinders petrie, the travelling salesman problem, and the beginning of mathematical modeling in archaeol- ogy

Reference 37

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Observation 1ab9de70-3409-4784-a3fc-e9cec4c58c12 · outbound

This paper cites Distribution-on-distribution regression via optimal transport maps.

Principal Curves In Metric Spaces And The Space Of Probability Measures Distribution-on-distribution regression via optimal transport maps

Reference 38

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Observation bf29dc8a-35a0-463e-803c-ec5dcc990ec0 · outbound

This paper cites Localization in 1d non-parametric latent space models from pairwise affinities.

Principal Curves In Metric Spaces And The Space Of Probability Measures Localization in 1d non-parametric latent space models from pairwise affinities

Reference 39

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Observation 7512d3c8-44b4-4fb7-818c-dbcde6d0852e · outbound

This paper cites Manifold learning in Wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Manifold learning in Wasserstein space

Reference 40

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Observation b910d14c-1c37-4352-a1ba-20e2a0c865d8 · outbound

This paper cites Principal Curves and Surfaces.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal Curves and Surfaces

Reference 41

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Observation 5f65d7cf-efb0-4220-8ea2-b15e3b3d35ee · outbound

This paper cites Principal Curves.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal Curves

Reference 42

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Observation c910bc53-ca81-4cb3-8de2-9fea88a559f8 · outbound

This paper cites Principal curves on riemannian manifolds.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal curves on riemannian manifolds

Reference 43

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Observation 89d2541e-dde6-460a-b1c2-0d681b061462 · outbound

This paper cites Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour.

Principal Curves In Metric Spaces And The Space Of Probability Measures Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.916051Z

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Observation b89d8435-d656-4875-9852-cfb5afc6c9f3 · outbound

This paper cites Reconstruction of line-embeddings of graphons.

Principal Curves In Metric Spaces And The Space Of Probability Measures Reconstruction of line-embeddings of graphons

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.902233Z

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Observation 326eb56d-6c53-4a5a-b613-3aee58279969 · outbound

This paper cites The variational formulation of the Fokker–Planck equation.

Principal Curves In Metric Spaces And The Space Of Probability Measures The variational formulation of the Fokker–Planck equation

Reference 46

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This paper cites Approximation of Splines in Wasserstein Spaces.

Principal Curves In Metric Spaces And The Space Of Probability Measures Approximation of Splines in Wasserstein Spaces

Reference 47

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Observation 2d87d069-86b2-4329-b55c-50be454b0869 · outbound

This paper cites Regression analysis of distributional data through Multi-Marginal Optimal transport.

Principal Curves In Metric Spaces And The Space Of Probability Measures Regression analysis of distributional data through Multi-Marginal Optimal transport

Reference 48

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Observation 44d74a26-8631-42d8-82e9-59d59ec4a85e · outbound

This paper cites Statistical learning in wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Statistical learning in wasserstein space

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.880955Z

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Observation 16349af2-c0ae-4e00-9d13-38138ccbf20d · outbound

This paper cites Classical descriptive set theory, volume 156.

Principal Curves In Metric Spaces And The Space Of Probability Measures Classical descriptive set theory, volume 156

Reference 50

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Observation 1ec07e8a-949a-4d85-ba8c-6371d766df45 · outbound

This paper cites Learning and design of principal curves.

Principal Curves In Metric Spaces And The Space Of Probability Measures Learning and design of principal curves

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.859347Z

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Observation 521c1ece-93b5-4e9a-83f0-928b300ab13b · outbound

This paper cites Incidence matrices, interval graphs and seriation in archeology.

Principal Curves In Metric Spaces And The Space Of Probability Measures Incidence matrices, interval graphs and seriation in archeology

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.845423Z

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Observation 755ed017-6478-44ab-be05-c1535b8ea5ed · outbound

This paper cites A statistical approach to flinders petrie’s sequence-dating.

Principal Curves In Metric Spaces And The Space Of Probability Measures A statistical approach to flinders petrie’s sequence-dating

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.832034Z

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Observation 9bf5491c-662a-4ded-9f22-52c8d125f3a1 · outbound

This paper cites Optimal sequencing depth for single-cell rna-sequencing in wasserstein space.

Principal Curves In Metric Spaces And The Space Of Probability Measures Optimal sequencing depth for single-cell rna-sequencing in wasserstein space

Reference 54

Resolution: verified exact; raw_fallback, observed 2026-08-15T23:44:26.243939Z

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Observation b7d2c6c0-fcfb-413b-874e-987bd797b720 · outbound

This paper cites Wasserstein barycenters over riemannian manifolds.

Principal Curves In Metric Spaces And The Space Of Probability Measures Wasserstein barycenters over riemannian manifolds

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.818927Z

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Observation 90f3d5c9-4650-4c4b-8818-8b796a55f9ff · outbound

This paper cites Multiple penalized principal curves: Analysis and computation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Multiple penalized principal curves: Analysis and computation

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.806096Z

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Observation 8705dd8c-ea7a-4e19-82e6-3c985e3bbf4e · outbound

This paper cites Monge-Kantorovich Fitting With Sobolev Budgets.

Principal Curves In Metric Spaces And The Space Of Probability Measures Monge-Kantorovich Fitting With Sobolev Budgets

Reference 57

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Observation a45b5e88-42e9-4869-ab3d-0fe6e2209c69 · outbound

This paper cites Elements of the Theory of Functions and Functional Analysis.

Principal Curves In Metric Spaces And The Space Of Probability Measures Elements of the Theory of Functions and Functional Analysis

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.792316Z

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 4bc80a55-2215-49c8-8e79-5afb772356bf · outbound

This paper cites The seriation problem and the travelling salesman problem.

Principal Curves In Metric Spaces And The Space Of Probability Measures The seriation problem and the travelling salesman problem

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.779181Z

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 ebb61be3-b6c9-4201-89ec-97235703b9ec · outbound

This paper cites Toward a mathematical theory of trajectory inference.

Principal Curves In Metric Spaces And The Space Of Probability Measures Toward a mathematical theory of trajectory inference

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.766371Z

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 a6df3e11-acdb-422a-96d7-54410ee9538c · outbound

This paper cites Reconstructing cell cycle pseudo time-series via single-cell transcriptome data.

Principal Curves In Metric Spaces And The Space Of Probability Measures Reconstructing cell cycle pseudo time-series via single-cell transcriptome data

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.755229Z

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 e1d5605e-2d29-4668-aae1-b6d194c63df3 · outbound

This paper cites Regularity of densities in relaxed and penalized average distance problem.

Principal Curves In Metric Spaces And The Space Of Probability Measures Regularity of densities in relaxed and penalized average distance problem

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.741870Z

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 d59ecbd3-1a14-4ffa-9943-e8bac4763d41 · outbound

This paper cites Average-distance problem for parameterized curves.

Principal Curves In Metric Spaces And The Space Of Probability Measures Average-distance problem for parameterized curves

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.726955Z

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 c29ad19f-7a40-47e2-bb19-39ac56a28c49 · outbound

This paper cites Average-distance problem with curvature penalization for data parameterization: regularity of minimizers.

Principal Curves In Metric Spaces And The Space Of Probability Measures Average-distance problem with curvature penalization for data parameterization: regularity of minimizers

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.713609Z

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 ce85274e-b656-49f3-99b7-59a4ad07c0e8 · outbound

This paper cites Marek, V.

Principal Curves In Metric Spaces And The Space Of Probability Measures Marek, V

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.698802Z

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 303ca0ed-9fde-45ce-9b53-3e5478b8c82f · outbound

This paper cites Massri, Alejandro Berrio, Anton Afanassiev, Laura Greenstreet, Krista Pipho, Maria Byrne, Ge- offrey Schiebinger, David R.

Principal Curves In Metric Spaces And The Space Of Probability Measures Massri, Alejandro Berrio, Anton Afanassiev, Laura Greenstreet, Krista Pipho, Maria Byrne, Ge- offrey Schiebinger, David R

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.683588Z

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 8e46d1e8-6e83-42fa-8b3f-62213d08c4eb · outbound

This paper cites A single-embryo, single-cell time-resolved model for mouse gastrulation.

Principal Curves In Metric Spaces And The Space Of Probability Measures A single-embryo, single-cell time-resolved model for mouse gastrulation

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.671470Z

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 7acd8e39-48d5-4f40-a819-40b7d8705ec7 · outbound

This paper cites Consistency of Spectral Seriation.

Principal Curves In Metric Spaces And The Space Of Probability Measures Consistency of Spectral Seriation

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:44:26.121332Z

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 bf0648e1-681d-4c48-a4ff-be1e75f9aa1c · outbound

This paper cites On spectral clustering: Analysis and an algorithm.

Principal Curves In Metric Spaces And The Space Of Probability Measures On spectral clustering: Analysis and an algorithm

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-15T23:44:25.929866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8991f051-7da6-4356-9c77-d57fe3a7afbd · outbound

This paper cites Locally defined principal curves and surfaces.

Principal Curves In Metric Spaces And The Space Of Probability Measures Locally defined principal curves and surfaces

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.652840Z

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 1e259abf-d902-4c7d-aa34-8f126605a395 · outbound

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

Principal Curves In Metric Spaces And The Space Of Probability Measures Computational optimal transport: With applications to data science

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-15T23:44:25.937716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61530fed-0fcb-4851-bc8a-18b7c88fb86b · outbound

This paper cites Distribution-free distribution regression.

Principal Curves In Metric Spaces And The Space Of Probability Measures Distribution-free distribution regression

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.634825Z

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 db017f4b-3ab8-4c77-8154-c7f430ecdea4 · outbound

This paper cites The lazy travelling salesman problem in R2.

Principal Curves In Metric Spaces And The Space Of Probability Measures The lazy travelling salesman problem in R2

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.623748Z

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 a30985c5-4e7e-4b57-8232-4f40d256c8b0 · outbound

This paper cites Wasserstein k-means for clustering tomographic projections.

Principal Curves In Metric Spaces And The Space Of Probability Measures Wasserstein k-means for clustering tomographic projections

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.611578Z

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 6cf7f352-9923-4807-bd41-24a83c7b94e0 · outbound

This paper cites A method for chronologically ordering archaeological deposits.

Principal Curves In Metric Spaces And The Space Of Probability Measures A method for chronologically ordering archaeological deposits

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.599762Z

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 aa50b99b-6208-44e7-82e4-1df3062d2879 · outbound

This paper cites A comparison of single-cell trajectory inference methods.

Principal Curves In Metric Spaces And The Space Of Probability Measures A comparison of single-cell trajectory inference methods

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.589037Z

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 e06b4ff5-2e38-4d88-b68a-a3ecd12d6e8e · outbound

This paper cites Principal curves with bounded turn.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal curves with bounded turn

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.578166Z

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 f741d9a5-e39c-4c9e-9065-4d6ded842466 · outbound

This paper cites {Euclidean, metric, and Wasserstein} gradient flows: an overview.

Principal Curves In Metric Spaces And The Space Of Probability Measures {Euclidean, metric, and Wasserstein} gradient flows: an overview

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.567592Z

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 fe8df475-f7dd-4d70-bddf-93df361b8e12 · outbound

This paper cites Reconstructing developmental landscapes and trajectories from single-cell data.

Principal Curves In Metric Spaces And The Space Of Probability Measures Reconstructing developmental landscapes and trajectories from single-cell data

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.556885Z

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 5a0ce378-05b5-4e3f-a770-7b9c5a370609 · outbound

This paper cites Optimal-transport analysis of single-cell gene expression identifies developmental trajectories in reprogram- ming.

Principal Curves In Metric Spaces And The Space Of Probability Measures Optimal-transport analysis of single-cell gene expression identifies developmental trajectories in reprogram- ming

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.546431Z

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 0f32e49c-285f-4246-b417-d2565bcffa3a · outbound

This paper cites The geometry of kernelized spectral clustering.

Principal Curves In Metric Spaces And The Space Of Probability Measures The geometry of kernelized spectral clustering

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.535602Z

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 35fac5ba-7dcd-4919-af81-22fd35435e25 · outbound

This paper cites Principal geodesic analysis for probability measures under the optimal transport metric.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal geodesic analysis for probability measures under the optimal transport metric

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.525315Z

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 c9c7bba3-2621-47af-b544-7bce46022119 · outbound

This paper cites Stochastically transitive models for pairwise comparisons: Statistical and computational issues.

Principal Curves In Metric Spaces And The Space Of Probability Measures Stochastically transitive models for pairwise comparisons: Statistical and computational issues

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.514739Z

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 74b301a5-885c-4cb9-b581-96468177bef0 · outbound

This paper cites Counterexample to regularity in average-distance problem.

Principal Curves In Metric Spaces And The Space Of Probability Measures Counterexample to regularity in average-distance problem

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.504234Z

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 9eee6238-defa-433f-8f35-0d159ba60b96 · outbound

This paper cites Regularized principal manifolds.

Principal Curves In Metric Spaces And The Space Of Probability Measures Regularized principal manifolds

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.492651Z

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 587d826a-cba0-4e00-9556-64450a4d20fc · outbound

This paper cites Principal curves revisited.

Principal Curves In Metric Spaces And The Space Of Probability Measures Principal curves revisited

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.481502Z

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 e95d28a4-8554-4fe4-912e-1db78905080d · outbound

This paper cites Sparsity and smoothness via the fused lasso.

Principal Curves In Metric Spaces And The Space Of Probability Measures Sparsity and smoothness via the fused lasso

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.468642Z

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 33af61a5-7c7f-42f3-ade3-31b6f076732c · outbound

This paper cites an unresolved cited work.

Principal Curves In Metric Spaces And The Space Of Probability Measures Unresolved cited work

Reference 88

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:44:26.457090Z

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 f0053f82-9424-4b33-a615-06eca2901e00 · outbound

This paper cites Hybrid wasserstein distance and fast distribution clustering.

Principal Curves In Metric Spaces And The Space Of Probability Measures Hybrid wasserstein distance and fast distribution clustering

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.445987Z

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 ae7908ee-da48-4e54-be69-e3b2a8d484b9 · outbound

This paper cites Optimal transport: old and new, volume 338.

Principal Curves In Metric Spaces And The Space Of Probability Measures Optimal transport: old and new, volume 338

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.435012Z

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 be89eec5-9a3c-4afb-b83e-b0dc0ec51617 · outbound

This paper cites High-dimensional statistics: A non-asymptotic viewpoint, volume 48.

Principal Curves In Metric Spaces And The Space Of Probability Measures High-dimensional statistics: A non-asymptotic viewpoint, volume 48

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.424317Z

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 afc9541d-d0b4-4316-90a3-e6b96f26e65a · outbound

This paper cites A linear optimal transportation framework for quantifying and visualizing variations in sets of images.

Principal Curves In Metric Spaces And The Space Of Probability Measures A linear optimal transportation framework for quantifying and visualizing variations in sets of images

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.412423Z

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 30f3c59f-cd79-4531-98a9-3a3dbcfb8d26 · outbound

This paper cites an unresolved cited work.

Principal Curves In Metric Spaces And The Space Of Probability Measures Unresolved cited work

Reference 93

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:44:26.400001Z

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 0d3ef798-39a5-4b3d-93aa-0a7bb34c3977 · outbound

This paper cites Exploring the use of spectral seriation to uncover dynamics in embryonic development: a geometric and probabilistic approach.

Principal Curves In Metric Spaces And The Space Of Probability Measures Exploring the use of spectral seriation to uncover dynamics in embryonic development: a geometric and probabilistic approach

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.387234Z

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 7f4d81da-4b8d-459b-9de5-9e2c1646338c · outbound

This paper cites Determining sequencing depth in a single-cell rna-seq experiment.

Principal Curves In Metric Spaces And The Space Of Probability Measures Determining sequencing depth in a single-cell rna-seq experiment

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.374257Z

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 b0f4ed08-ff44-4da3-acfe-ea74c6a9c6ad · outbound

This paper cites Wasserstein k-means for clustering probability distributions.

Principal Curves In Metric Spaces And The Space Of Probability Measures Wasserstein k-means for clustering probability distributions

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.360511Z

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 c5e4fcc0-bd09-4417-83dc-b05213c4643c · outbound

This paper cites We want to show that g = ˆf up to time-reversal.

Principal Curves In Metric Spaces And The Space Of Probability Measures We want to show that g = ˆf up to time-reversal

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.348442Z

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 9876800a-08bc-44fc-bb9d-002c14db2187 · outbound

This paper cites We want to show this implies Length(g)> Length(f).

Principal Curves In Metric Spaces And The Space Of Probability Measures We want to show this implies Length(g)> Length(f)

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.335865Z

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 0cf84100-fd06-4b18-bf05-e5ebc3afde69 · outbound

This paper cites average distance variational problem.

Principal Curves In Metric Spaces And The Space Of Probability Measures average distance variational problem

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.324535Z

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 bffff51e-ad7f-4614-9c33-dc1183ab042e · outbound

This paper cites In what follows, we write ¯h := maxj∈[1,K]hj.

Principal Curves In Metric Spaces And The Space Of Probability Measures In what follows, we write ¯h := maxj∈[1,K]hj

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:44:26.313314Z

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.

Coverage vector

Reference resolution

Outbound references

Pith citing papers