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Paper Citation Record · LEDGER

Semi-nonparametric models of multidimensional matching: an optimal transport approach

As of 9 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2405.18089.

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

pith.paper-citation-record.v1
2405.18089 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T08:11:04.525395Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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External citation measurements

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Outbound references

Observation c0b66df7-3e01-42da-8fee-3b79c98d65f2 · outbound

This paper cites Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions

Reference 1

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Observation 5a4186ca-65ed-40c2-835f-e75001ff0e01 · outbound

This paper cites A Theory of Marriage: Part I.

Semi-nonparametric models of multidimensional matching: an optimal transport approach A Theory of Marriage: Part I

Reference 2

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This paper cites Semi-Nonparametric IV Esti- mation of Shape-Invariant Engel Curves.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Semi-Nonparametric IV Esti- mation of Shape-Invariant Engel Curves

Reference 3

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Observation f73d5429-306a-4a8d-b123-0748ad880299 · outbound

This paper cites Matching in closed-form: equilibrium, identification, and comparative statics.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Matching in closed-form: equilibrium, identification, and comparative statics

Reference 4

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Observation f01b20cf-c6f5-45c7-b422-e56c1db1c049 · outbound

This paper cites an unresolved cited work.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Unresolved cited work

Reference 5

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Observation 53d5bcbf-2825-4a01-9da2-713bcf248af6 · outbound

This paper cites Boundary regularity of maps with convex potentials.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Boundary regularity of maps with convex potentials

Reference 6

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Observation 9ddbdd57-024a-4dbd-b190-3db78aac3a01 · outbound

This paper cites Duality and existence for a class of mass transportation problems and economic applications.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Duality and existence for a class of mass transportation problems and economic applications

Reference 7

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Observation 8b58ee1e-9dbe-4b9f-9b7a-3668156140b3 · outbound

This paper cites Efficient estimation of average derivatives in NPIV models: Simulation comparisons of neural network estimators.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Efficient estimation of average derivatives in NPIV models: Simulation comparisons of neural network estimators

Reference 8

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Observation e1bc5d2c-5ff9-4ab6-94dc-2ddde26e0c8d · outbound

This paper cites Chapter 76 Large Sample Sieve Estimation of Semi-Nonparametric Models.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Chapter 76 Large Sample Sieve Estimation of Semi-Nonparametric Models

Reference 9

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Observation 1497676b-26f4-4d0f-9e1e-fd8dfd689a4a · outbound

This paper cites Sieve Extremum Estimates for Weakly Dependent Data.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Sieve Extremum Estimates for Weakly Dependent Data

Reference 10

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Observation 71b724ec-9341-40f4-acf5-5aa94c8a8c9e · outbound

This paper cites Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness

Reference 11

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Observation 0de52957-ef03-47b7-a47b-7538f9f51df8 · outbound

This paper cites Fatter attrac- tion: anthropometric and socioeconomic matching on the marriage market.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Fatter attrac- tion: anthropometric and socioeconomic matching on the marriage market

Reference 12

Resolution
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Observation 5eb729d3-a314-4ef2-bcd8-65396cbb697f · outbound

This paper cites Matching to share risk.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Matching to share risk

Reference 13

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Observation c59bfb70-6092-453c-843e-7ab975997602 · outbound

This paper cites Duality in dynamic discrete-choice models.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Duality in dynamic discrete-choice models

Reference 14

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Observation a83b14b0-4776-40aa-a797-8157e8ba70df · outbound

This paper cites Who marries whom and why.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Who marries whom and why

Reference 15

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Observation 7856165e-ca57-47e5-b337-846903b92b76 · outbound

This paper cites Regularity of monotone transport maps be- tween unbounded domains.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Regularity of monotone transport maps be- tween unbounded domains

Reference 16

Resolution
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Source-reported events for the cited work

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Observation 3dba966b-57e6-427e-9299-8044d02fc8f0 · outbound

This paper cites Personality Traits and the Marriage Market.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Personality Traits and the Marriage Market

Reference 17

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Observation a2495ab3-350a-4f9f-a63f-8902b323383f · outbound

This paper cites Identifying Sorting-In Theory.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Identifying Sorting-In Theory

Reference 18

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Observation 63de94a9-7432-44c8-be2d-5eb509241e1c · outbound

This paper cites Notes on optimal transportation.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Notes on optimal transportation

Reference 19

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Observation 7e285e4b-a4dc-470b-b768-030e461c8213 · outbound

This paper cites A weak condition for the convexity of tensor-product Bézier and B-spline sur- faces.

Semi-nonparametric models of multidimensional matching: an optimal transport approach A weak condition for the convexity of tensor-product Bézier and B-spline sur- faces

Reference 20

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Observation 87c82be3-4285-48fc-b624-745d6e3bd618 · outbound

This paper cites A survey of some recent applications of optimal transport methods to economet- rics.

Semi-nonparametric models of multidimensional matching: an optimal transport approach A survey of some recent applications of optimal transport methods to economet- rics

Reference 21

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Observation 7298c82b-3932-40e1-bb60-c82c4937af82 · outbound

This paper cites Cupid’s invisible hand: Social surplus and identification in matching models.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Cupid’s invisible hand: Social surplus and identification in matching models

Reference 22

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Observation 5fec00e6-1f27-4110-b7d0-106b22982023 · outbound

This paper cites Partial identification in matching models for the marriage market.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Partial identification in matching models for the marriage market

Reference 23

Resolution
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Source-reported events for the cited work

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Observation d3b21e45-1e39-420d-b728-552f697fba98 · outbound

This paper cites Matching and sorting in online dating.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Matching and sorting in online dating

Reference 24

Resolution
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Observation fe443dfb-bc9a-45ce-8c47-559d4f85cb85 · outbound

This paper cites Beauty is a beast, frog is a prince: Assortative matching with nontransferabilities.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Beauty is a beast, frog is a prince: Assortative matching with nontransferabilities

Reference 25

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Observation 509631a7-fe5d-4523-9c42-314d07872d60 · outbound

This paper cites Sorting Multidimensional Types: Theory and Application.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Sorting Multidimensional Types: Theory and Application

Reference 26

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Observation af8f45f4-a560-47e1-9b7a-ed14f6ac6bd0 · outbound

This paper cites Measures of multivariate skewness and kurtosis with applications.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Measures of multivariate skewness and kurtosis with applications

Reference 27

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Observation 4188394a-76f3-40db-89a7-0687c993bce7 · outbound

This paper cites Instrumental Variable Estimation of Nonparametric Models.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Instrumental Variable Estimation of Nonparametric Models

Reference 28

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Observation 0fb52e0c-c07f-4ed8-98c5-f4a045d75c36 · outbound

This paper cites Anthropometry and socioeconomics among couples: Evidence in the United States.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Anthropometry and socioeconomics among couples: Evidence in the United States

Reference 29

Resolution
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This paper cites Learning your comparative advantages.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Learning your comparative advantages

Reference 30

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 48aa3193-7315-443d-b7b2-d2502a63371d · outbound

This paper cites Assortative mating by schooling and the work behavior of wives and husbands.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Assortative mating by schooling and the work behavior of wives and husbands

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4c099d0b-ad81-4359-9b00-a2ec404ef34d · outbound

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

Semi-nonparametric models of multidimensional matching: an optimal transport approach Computational optimal transport: With applications to data science

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7f605b14-e34e-4145-8285-399f2e162869 · outbound

This paper cites Changes in assortative mating: The impact of age and education, 1970–1890.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Changes in assortative mating: The impact of age and education, 1970–1890

Reference 33

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d4b3ad17-7e3f-4d74-bd99-ab26ac5b306e · outbound

This paper cites Skill accumulation, skill uncertainty, and occupational choice.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Skill accumulation, skill uncertainty, and occupational choice

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7330d427-7ade-4cf8-9cd5-1e1950a71976 · outbound

This paper cites Assortative mating by body height and BMI: Finnish twins and their spouses.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Assortative mating by body height and BMI: Finnish twins and their spouses

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.386550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:79f6c31dceb73a64a65036132ca13cc43b92e690fb2ea348195f3d1b703de62e

Observation 74582ac5-bb30-46c7-8183-fdf7c854b010 · outbound

This paper cites Shape restricted nonparametric regression with Bernstein polynomials.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Shape restricted nonparametric regression with Bernstein polynomials

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.485561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:12dcd1c11460eff27b85c2238be7f5faf75607c3284cc26c83ce4fbea730de55

Observation 31e4e099-1094-44b1-9250-502dd8808eee · outbound

This paper cites Match quality, new information, and marital dissolution.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Match quality, new information, and marital dissolution

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.382473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:8c51b823f445b64a55adefd71f3839dfe93cfda63246c4c11fc21b7637ca077e

Observation 9c227f13-b0ed-423e-baae-0520415bab5a · outbound

This paper cites Education and self-selection.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Education and self-selection

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.390602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:ae7a34d7ab5c5ece4a99f793bc3c86b1ce52a3d08f54d139c0531aa374b6435c

Observation c0bcc175-b10a-4951-82c3-02f72c3624e1 · outbound

This paper cites By Theorem 2.12 in Villani (2003), ∇xx′˜y|˜y=T (x) = ∇wo∗ (x) and therefore, ∇w∗ (x) = ∇wo∗ (x) + b.

Semi-nonparametric models of multidimensional matching: an optimal transport approach By Theorem 2.12 in Villani (2003), ∇xx′˜y|˜y=T (x) = ∇wo∗ (x) and therefore, ∇w∗ (x) = ∇wo∗ (x) + b

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.408795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:137f8fe317b704f223d5e5e52d46ceb9d153993149e9248efa65aa77d0f29c36

Observation 0e025dbe-c23f-4ac5-be09-5873012fbe1e · outbound

This paper cites xd, xd+1 ∈ X such that A0y1 = ∇w0 (x1).

Semi-nonparametric models of multidimensional matching: an optimal transport approach xd, xd+1 ∈ X such that A0y1 = ∇w0 (x1)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.427156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:668917c577d2b6efb848c400e858c72fccaececb287aca721bf03e5ea230c3ee

Observation f4b82bc9-48d0-47b4-8129-a7039328578b · outbound

This paper cites an unresolved cited work.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-05-25T08:16:45.431753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:bb2175cdb562a33093b4dcd62cef3ac5d3311ff95710e53bca12965558a64c7e

Observation ce22ae4b-45ba-402b-9e70-b3d74d96b82b · outbound

This paper cites Again, Assumption 7 implies that there exists a C2 > 0 such that E ρ′ (zi; λ0) Σ (xi)−1 ρ (zi; λ0) − ρ′ (zi; λ) Σ (xi)−1 ρ (zi; λ) 2 ≤ C2E h |ρ (zi; λ0) − ρ (zi; λ)|4 e i.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Again, Assumption 7 implies that there exists a C2 > 0 such that E ρ′ (zi; λ0) Σ (xi)−1 ρ (zi; λ0) − ρ′ (zi; λ) Σ (xi)−1 ρ (zi; λ) 2 ≤ C2E h |ρ (zi; λ0) − ρ (zi; λ)|4 e i

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.377777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:3fac964154ef190d40787fe410e670b2c918dad954f18ceecd80b1837dae4a0f

Observation 1ac11ffa-fbbc-4d67-9396-9c30a911372b · outbound

This paper cites Using Lemma 2 in Chen and Shen (1998) again, Condition 3.8 is satisfied.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Using Lemma 2 in Chen and Shen (1998) again, Condition 3.8 is satisfied

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.561586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:75f6f1a9942cd6e493a5622f37a8d3efdabd3d20b77c072d7cf3e4b480b9f3b4

Observation 55eff234-cd40-4d9c-9186-ff1bbef2e8d1 · outbound

This paper cites Let u∗ θ = u∗ θ1, u∗ θ2, u∗ θ3, u∗ θ4 ′ = E h Dv∗ (xi)′ Σ (xi)−1 Dv∗ (xi) i −1 η, u∗ w = −v∗u∗ θ and u∗ = u∗ θ, u∗ w , where η ∈ R4 is an arbitrary unit vector.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Let u∗ θ = u∗ θ1, u∗ θ2, u∗ θ3, u∗ θ4 ′ = E h Dv∗ (xi)′ Σ (xi)−1 Dv∗ (xi) i −1 η, u∗ w = −v∗u∗ θ and u∗ = u∗ θ, u∗ w , where η ∈ R4 is an arbitrary unit vector

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.566493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:336519376b7e3eadd19915e54f19f1e1d73f5450b2e4f31be2f7531ad4f6cc2f

Observation 7a1ecbc2-38d8-49fe-b268-d3771422f825 · outbound

This paper cites 4 Condition 4.2.’ can be verified by applying Lemma 4.2 in Chen (2007).

Semi-nonparametric models of multidimensional matching: an optimal transport approach 4 Condition 4.2.’ can be verified by applying Lemma 4.2 in Chen (2007)

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.543936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:edd78ef1f22ee93185340012193c79b225c1c94544dedb889b11d71cf30b2264

Observation b499fabe-5c47-4c85-a32a-89973b9406b0 · outbound

This paper cites PROOF OF THEOREM 3: We follow the proofs of Theorem 4.1 and 6.2 in Ai and Chen (2003).

Semi-nonparametric models of multidimensional matching: an optimal transport approach PROOF OF THEOREM 3: We follow the proofs of Theorem 4.1 and 6.2 in Ai and Chen (2003)

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.539734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:c040455095fd67009936a165f3b0a27f1bec8ac41acbcdb2f9f90c28854eb56b

Observation af624419-7e94-48f4-8c3e-6593f285b370 · outbound

This paper cites Wang and Ghosh (2012) show that {W cvx n } is nested and dense in W cvx with respect to sup-norm.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Wang and Ghosh (2012) show that {W cvx n } is nested and dense in W cvx with respect to sup-norm

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T08:16:45.548727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:425bb1bc13d69d471502dfd235a4dbbe8b25372ed166d34c8e72860803beb95b

Observation f6a62f88-fa89-4e98-af8f-1512caa39f5a · outbound

This paper cites an unresolved cited work.

Semi-nonparametric models of multidimensional matching: an optimal transport approach Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-05-25T08:16:45.552311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T08:11:04.525395Z digest=sha256:71342a50438f12ec85f302eb0f81a093932e9559165f48e8b0756f8fa219a461

Pith citing papers

No inbound Pith citation observations are available.