Paper Citation Record · LEDGER

Smooth transport map via diffusion process

As of 13 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2411.10235.

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

pith.paper-citation-record.v1
2411.10235 v3

Coverage vector

measured 58 of 58 reference resolution

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measured 60 of 60 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:54:29.297105Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:10:55.332538Z

Reference resolution

58 of 58 outbound references displayed

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External citation measurements

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Outbound references

Observation 9bcbacfe-a66a-4cf4-8b6a-8a511ea11518 · outbound

This paper cites Continuity equations and ode flows with non-smooth velocity.

Smooth transport map via diffusion process Continuity equations and ode flows with non-smooth velocity

Reference 1

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Observation acb8eeba-0c84-4a66-93ae-c206a3b9d47e · outbound

This paper cites Anderson.

Smooth transport map via diffusion process Anderson

Reference 2

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This paper cites Spectral analysis of large dimensional random matrices, volume 20.

Smooth transport map via diffusion process Spectral analysis of large dimensional random matrices, volume 20

Reference 3

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Observation 9995e127-b2d8-454a-8849-38eb8768a472 · outbound

This paper cites Sobolev-hermite versus sobolev nonparametric density estimation on r.

Smooth transport map via diffusion process Sobolev-hermite versus sobolev nonparametric density estimation on r

Reference 4

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Observation 24b9fd18-ce41-4627-ab19-9f9de18a2f34 · outbound

This paper cites Rates of convergence for density estimation with generative adversarial networks, 2023.

Smooth transport map via diffusion process Rates of convergence for density estimation with generative adversarial networks, 2023

Reference 5

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Observation 423f3770-65c3-45f9-8a07-ee1f426ac773 · outbound

This paper cites Some theoretical properties of gans.

Smooth transport map via diffusion process Some theoretical properties of gans

Reference 6

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This paper cites Arbitrage theory in continuous time.

Smooth transport map via diffusion process Arbitrage theory in continuous time

Reference 7

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Observation 340ef864-5bdc-484c-8743-8765c0f698de · outbound

This paper cites On extensions of the brunn-minkowski and prékopa-leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation.

Smooth transport map via diffusion process On extensions of the brunn-minkowski and prékopa-leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

Reference 8

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Observation 804c522a-f8ed-454d-915c-63a7a0638a4c · outbound

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

Smooth transport map via diffusion process Polar factorization and monotone rearrangement of vector-valued functions

Reference 9

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Observation cb9b7920-8dff-4113-b1a8-ad43294abf5c · outbound

This paper cites Caffarelli.

Smooth transport map via diffusion process Caffarelli

Reference 10

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Observation 85403782-1e30-4593-b505-b124fa7c39e9 · outbound

This paper cites Monotonicity properties of optimal transportation and the fkg and related inequalities.

Smooth transport map via diffusion process Monotonicity properties of optimal transportation and the fkg and related inequalities

Reference 11

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Observation 5eb7dcce-c0b3-4fec-b192-123a995c2e0f · outbound

This paper cites Fluctuations of eigenvalues and second order poincar \'e inequalities.

Smooth transport map via diffusion process Fluctuations of eigenvalues and second order poincar \'e inequalities

Reference 12

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Observation 87e9e7d0-4a9d-4f18-bff1-aefa5ff479a8 · outbound

This paper cites Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions.

Smooth transport map via diffusion process Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions

Reference 13

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Observation a7f2162b-cd65-4db5-b52c-16a7b4a165db · outbound

This paper cites Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions.

Smooth transport map via diffusion process Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 14

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Observation 9611aa44-65e7-46ba-bd9b-da07fe876772 · outbound

This paper cites The probability flow ode is provably fast.

Smooth transport map via diffusion process The probability flow ode is provably fast

Reference 15

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Observation 14fee25e-523e-4a89-93fc-9f17b9990b55 · outbound

This paper cites Regularity of monotone transport maps between unbounded domains, 2019.

Smooth transport map via diffusion process Regularity of monotone transport maps between unbounded domains, 2019

Reference 16

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Observation 84a53166-7bad-4bff-af60-0c1784cbcedf · outbound

This paper cites Lipschitz transport maps via the follmer flow, 2023.

Smooth transport map via diffusion process Lipschitz transport maps via the follmer flow, 2023

Reference 17

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Observation e0cf2f5b-e34a-43f1-bc82-6caa6928d8ef · outbound

This paper cites Optimal rates for k-nn density and mode estimation.

Smooth transport map via diffusion process Optimal rates for k-nn density and mode estimation

Reference 18

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Observation 1eb44367-6062-4b8f-8772-eae8e64e56aa · outbound

This paper cites The harmonic oscillator in a heat bath.

Smooth transport map via diffusion process The harmonic oscillator in a heat bath

Reference 19

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Observation 31a85d8e-57ff-44ec-8d13-f187f7b7426f · outbound

This paper cites Ultracontractivity and the heat kernel for schr \"o dinger operators and dirichlet laplacians.

Smooth transport map via diffusion process Ultracontractivity and the heat kernel for schr \"o dinger operators and dirichlet laplacians

Reference 20

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Observation 470d67cb-910d-4b04-b187-b92fe47ccdfd · outbound

This paper cites Convergence of denoising diffusion models under the manifold hypothesis.

Smooth transport map via diffusion process Convergence of denoising diffusion models under the manifold hypothesis

Reference 21

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This paper cites The monge--amp \`e re equation and its link to optimal transportation.

Smooth transport map via diffusion process The monge--amp \`e re equation and its link to optimal transportation

Reference 22

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Observation af44c072-50c3-40df-8401-5130ec82fe66 · outbound

This paper cites Density estimation by wavelet thresholding.

Smooth transport map via diffusion process Density estimation by wavelet thresholding

Reference 23

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Observation 541da5c3-d5f0-4d94-a584-c309444d1649 · outbound

This paper cites Some gronwall type inequalities and applications.

Smooth transport map via diffusion process Some gronwall type inequalities and applications

Reference 24

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Observation b59f4f9b-9487-47ab-b6ff-a7d76b3562fe · outbound

This paper cites Logarithmic sobolev inequalities and contractivity properties of semigroups.

Smooth transport map via diffusion process Logarithmic sobolev inequalities and contractivity properties of semigroups

Reference 25

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Observation d4c61495-813b-40c6-b43c-408db2cd39f8 · outbound

This paper cites Transportation onto log-lipschitz perturbations.

Smooth transport map via diffusion process Transportation onto log-lipschitz perturbations

Reference 26

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Observation 156632ed-37a0-4c71-b700-3181a743cee8 · outbound

This paper cites The Monge--Amp \`e re equation and its applications.

Smooth transport map via diffusion process The Monge--Amp \`e re equation and its applications

Reference 27

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Observation 45ba7166-339b-4b38-a2f2-9a977120a5ca · outbound

This paper cites Regularity properties of monotone measure-preserving maps.

Smooth transport map via diffusion process Regularity properties of monotone measure-preserving maps

Reference 28

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Observation 87fca40b-8308-4d2a-bdff-92ce03b881f6 · outbound

This paper cites Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem.

Smooth transport map via diffusion process Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem

Reference 29

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This paper cites Gaussian Interpolation Flows.

Smooth transport map via diffusion process Gaussian Interpolation Flows

Reference 30

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This paper cites Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio.

Smooth transport map via diffusion process Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio

Reference 31

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Smooth transport map via diffusion process Unresolved cited work

Reference 32

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Smooth transport map via diffusion process Envelopes and sharp embeddings of function spaces

Reference 33

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Observation 3980f908-e4fb-41c5-a620-8eb9f2a5126f · outbound

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Smooth transport map via diffusion process Denoising diffusion probabilistic models

Reference 34

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This paper cites Alias-Free Generative Adversarial Networks.

Smooth transport map via diffusion process Alias-Free Generative Adversarial Networks

Reference 35

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This paper cites A generalization of caffarelli’s contraction theorem via (reverse) heat flow.

Smooth transport map via diffusion process A generalization of caffarelli’s contraction theorem via (reverse) heat flow

Reference 36

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This paper cites Score-based generative modeling secretly minimizes the wasserstein distance.

Smooth transport map via diffusion process Score-based generative modeling secretly minimizes the wasserstein distance

Reference 37

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This paper cites How well generative adversarial networks learn distributions, 2021.

Smooth transport map via diffusion process How well generative adversarial networks learn distributions, 2021

Reference 38

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Smooth transport map via diffusion process Unresolved cited work

Reference 39

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Smooth transport map via diffusion process Minimax density estimation for growing dimension

Reference 40

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Observation a3256372-59fd-4e9e-8fce-35bdba9f1022 · outbound

This paper cites On the lipschitz properties of transportation along heat flows.

Smooth transport map via diffusion process On the lipschitz properties of transportation along heat flows

Reference 41

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Smooth transport map via diffusion process The brownian transport map

Reference 42

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Smooth transport map via diffusion process M \"u ller

Reference 43

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Smooth transport map via diffusion process Lipschitz changes of variables via heat flow

Reference 44

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Smooth transport map via diffusion process Continuous martingales and Brownian motion, volume 293

Reference 45

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Smooth transport map via diffusion process Sobolev inequalities for weight spaces and supercontractivity

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.399048Z

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Observation be8d788e-4fdf-425e-aa78-a988937c870b · outbound

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Smooth transport map via diffusion process Optimal transport for applied mathematicians

Reference 47

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Source-reported events for the cited work

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Smooth transport map via diffusion process Schr \"o dinger semigroups

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.370685Z

Source-reported events for the cited work

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Observation 3812e8e6-7a1b-47c1-86d5-1cfc8341ffbd · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Smooth transport map via diffusion process Score-Based Generative Modeling through Stochastic Differential Equations

Reference 49

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Source-reported events for the cited work

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This paper cites Integral Probability Metrics on submanifolds: interpolation inequalities and optimal inference.

Smooth transport map via diffusion process Integral Probability Metrics on submanifolds: interpolation inequalities and optimal inference

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T20:07:23.829831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 808f6ceb-95d2-4f61-8199-ca9e752507d0 · outbound

This paper cites Wasserstein generative adversarial networks are minimax optimal distribution estimators.

Smooth transport map via diffusion process Wasserstein generative adversarial networks are minimax optimal distribution estimators

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.356400Z

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Observation 1814e226-66f8-4f67-b334-809460c0317f · outbound

This paper cites Minimax rate of distribution estimation on unknown submanifolds under adversarial losses.

Smooth transport map via diffusion process Minimax rate of distribution estimation on unknown submanifolds under adversarial losses

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.340860Z

Source-reported events for the cited work

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Observation a658d72f-8b98-418a-988b-ec2e79e23fa0 · outbound

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Smooth transport map via diffusion process Tsybakov

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.324632Z

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Observation cbbf78d0-ec7a-448d-8049-8a7a24cca15f · outbound

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Smooth transport map via diffusion process Manifolds

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.309234Z

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Observation 595adb28-0be9-4606-9263-1d801691c873 · outbound

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

Smooth transport map via diffusion process Optimal transport: old and new, volume 338

Reference 55

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Source-reported events for the cited work

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Observation 842e6040-374a-4b8f-97cc-61a543c70047 · outbound

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Smooth transport map via diffusion process Vondrick, H

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:07:24.282661Z

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This paper cites Generative adversarial networks: introduction and outlook.

Smooth transport map via diffusion process Generative adversarial networks: introduction and outlook

Reference 57

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Observation 4be824e3-f879-46b3-8e67-1f6f367a083f · outbound

This paper cites an unresolved cited work.

Smooth transport map via diffusion process Unresolved cited work

Reference 58

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Pith citing papers

Observation 2c4d69c0-aaa7-47d1-9768-027b13bc3dec · inbound

Generalization bounds for score-based generative models: a synthetic proof cites this paper.

Generalization bounds for score-based generative models: a synthetic proof Smooth transport map via diffusion process

Reference 15

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Observation 036631a8-7f21-4411-aebb-bc8d0d683c29 · inbound

Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities cites this paper.

Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities Smooth transport map via diffusion process

Reference 16

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