Pith. sign in

Paper Citation Record · LEDGER

Convergence Rates for Distribution Matching with Sliced Optimal Transport

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2602.10691.

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

pith.paper-citation-record.v1
2602.10691 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:09:08.486485Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:03:03.616289Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T18:43:51.231162Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved26
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 385e0419-9321-4946-8efb-756165611d22 · outbound

This paper cites (31) Besides, for any σ, µ∈ P2(Rd), for any T ∈ L2(σ), SW 2 2 (T♯σ, µ) ≤ SW 2 2 (σ, µ) + 2⟨∇W2F (σ), T− Id⟩σ + 1 d ∥T − Id∥2 σ.

Convergence Rates for Distribution Matching with Sliced Optimal Transport (31) Besides, for any σ, µ∈ P2(Rd), for any T ∈ L2(σ), SW 2 2 (T♯σ, µ) ≤ SW 2 2 (σ, µ) + 2⟨∇W2F (σ), T− Id⟩σ + 1 d ∥T − Id∥2 σ

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.532490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.532490Z digest=sha256:11e2c9ac7d252805ec05da0b8311319c0904d1e40b00009a9ee91567d82cc43a

Observation ff0cb971-b579-4faa-b2fe-43eb8e104c8a · outbound

This paper cites Remark C.3 (Extension to elliptically contoured distributions).

Convergence Rates for Distribution Matching with Sliced Optimal Transport Remark C.3 (Extension to elliptically contoured distributions)

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.836605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.836605Z digest=sha256:787de8a8a98363b78148eee1510a3426fde3a9b946b1f4a1664fbe4f3c54c1f0

Observation c46d5fe0-cfb4-4c4e-b58d-8c8bc921631c · outbound

This paper cites (2024, Lemma.

Convergence Rates for Distribution Matching with Sliced Optimal Transport (2024, Lemma

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:08.373500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:08.373500Z digest=sha256:404477de9ce941d6879b2008e4209cb0218b05f0ba80c72a5d03f37a189b72d6

Observation e095bdf6-6fbd-4125-a7e7-6e910f726158 · outbound

This paper cites Towards Understanding Gradient Dynamics of the Sliced-Wasserstein Distance via Critical Point Analysis.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Towards Understanding Gradient Dynamics of the Sliced-Wasserstein Distance via Critical Point Analysis

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.138004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.138004Z digest=sha256:7a02b94733b3d4fbe3a7268cc7e82a6abc44f31adc7df65a76d0e6311b27e844

Observation 7e1341cb-b001-4850-a9f8-76b6ffe1ccd0 · outbound

This paper cites URL https://doi.org/10.1137/24M1656414.

Convergence Rates for Distribution Matching with Sliced Optimal Transport URL https://doi.org/10.1137/24M1656414

Reference 8

Resolution
verified exact
doi, observed 2026-08-03T01:13:24.004610Z

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=2026-08-03T01:09:06.307503Z digest=sha256:962dc2bd6795db0533d27d0b588e39c4e33c3fe31040d30fda5db4cea210c25c

Observation 396ab4c6-7774-459f-b03a-0180bc8241c9 · outbound

This paper cites an unresolved cited work.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.412828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.412828Z digest=sha256:3bca1fae948dcde7444e909d05371b0d0acd948c322524708e4212f5da57ef20

Observation d8442d59-db12-468b-bef2-788f64450555 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.485628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.485628Z digest=sha256:431b34f08f7dc7f05af84bec28c628bdc0a0ff2b3f6d4f2bf68dc7b75496fcce

Observation fd0a9381-e26d-4344-9325-27ac624213b9 · outbound

This paper cites Antoine Godichon-Baggioni.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Antoine Godichon-Baggioni

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.538102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.538102Z digest=sha256:bc0f4fbe0184f8cc531b7b634e0af8eb89bc5e038109af1c9c0c0260071cf9ec

Observation 62a776e2-46ee-477e-a903-550e6c1dbb9b · outbound

This paper cites Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.635775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.635775Z digest=sha256:c8e1afcc2c755c3809c8d4a060e2def5f0c21a33ed8a5a3ed18ee1b2c7a5d732

Observation 7bbffa09-4a0d-405e-b289-c649fdeabf33 · outbound

This paper cites Luis A Caffarelli.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Luis A Caffarelli

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.797144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.797144Z digest=sha256:1950021212af67ed2aaecbe4f81a0ea0f6b0855ff5dd176744870836c70d37bc

Observation 1da73ac8-6939-428c-af3c-b5fa4e4cf244 · outbound

This paper cites On the Fenchel Duality between Strong Convexity and Lipschitz Continuous Gradient.

Convergence Rates for Distribution Matching with Sliced Optimal Transport On the Fenchel Duality between Strong Convexity and Lipschitz Continuous Gradient

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.007568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.007568Z digest=sha256:4dcc9a13c9e4e53ef7c1708ecd39b0f23937d4d304202b8645812f07d3e77dff

Observation 4237f061-0b84-41cc-990e-75f78c4fb656 · outbound

This paper cites For further details, we refer the interesting reader to the classical references Ambrosio and Savar´e (2007); Santambrogio (2015).

Convergence Rates for Distribution Matching with Sliced Optimal Transport For further details, we refer the interesting reader to the classical references Ambrosio and Savar´e (2007); Santambrogio (2015)

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.137149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.137149Z digest=sha256:6fcb49b05819ed366c70edc098fffeeb356eef2ca56c7bf7f65dc4c7e9d5d32f

Observation 4e01e794-aa35-4cf7-8496-a01a5a64d450 · outbound

This paper cites Interestingly enough, W 2 2 (·, σ) is strictly convex along (23) as soon as σ is absolutely continuous (Santambrogio, 2015, Proposition 7.19).

Convergence Rates for Distribution Matching with Sliced Optimal Transport Interestingly enough, W 2 2 (·, σ) is strictly convex along (23) as soon as σ is absolutely continuous (Santambrogio, 2015, Proposition 7.19)

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.251196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.251196Z digest=sha256:b21933ee79acb8a7e2e29a111db13c3a0a28e30ad2676a2e211f4f8ee71b49ff

Observation 1fafd599-bfde-4f77-9b68-111334e839e7 · outbound

This paper cites Thus, it only remains to verify that (61) fulfills the correct requirements.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Thus, it only remains to verify that (61) fulfills the correct requirements

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:08.486485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:08.486485Z digest=sha256:93d47605c2bbda7a2da918ed3446be02fa354100dba150487a7da6a1740a71fd

Observation 7c6cad60-449b-404f-b654-e3504876e9d5 · outbound

This paper cites Besides, one can find in Vauthier et al.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Besides, one can find in Vauthier et al

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.622063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.622063Z digest=sha256:ad97b7f0a04fe14e2da7c99421bf956c369e9ade7ae11aefd2b57eb9d5f66506

Observation 3fed9b10-fdd3-4f59-8902-04669182d934 · outbound

This paper cites By Proposition B.8, F (σk) ≤ 2M2(µ).

Convergence Rates for Distribution Matching with Sliced Optimal Transport By Proposition B.8, F (σk) ≤ 2M2(µ)

Reference 21

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:09:07.680716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.680716Z digest=sha256:f81c3419c868b47e77182c34f099967133b1be0bb247c91793cf6ab906f0e24d

Observation 3552dd94-d7ee-4169-963a-abf40908554b · outbound

This paper cites Combining (38) and (39), SW 2 2 (σ, µ) ≤ W2(σ, µ) Z 1 0 ∥∇Ψ∥ρtdt.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Combining (38) and (39), SW 2 2 (σ, µ) ≤ W2(σ, µ) Z 1 0 ∥∇Ψ∥ρtdt

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.775443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.775443Z digest=sha256:23bcaa5a00e62ab1ce72f97cea64f6320f8add3f48e6dce63a7bcce5fae674fb

Observation dd58ecc1-f781-43a6-9d44-9c02f0e490b1 · outbound

This paper cites an unresolved cited work.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:07.941963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:07.941963Z digest=sha256:997fba12521e4c24abff8da220b0e26e95236a2c56e94e15f12a8834788664b2

Observation fd3d6732-3393-4890-bdae-cbd0c128800a · outbound

This paper cites 36 Hence, gp/2 k ≤ 1/(k + 1)2α as soon as one chooses p ≥ 4α/(1 − α).

Convergence Rates for Distribution Matching with Sliced Optimal Transport 36 Hence, gp/2 k ≤ 1/(k + 1)2α as soon as one chooses p ≥ 4α/(1 − α)

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:08.058491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:08.058491Z digest=sha256:8132799ab214a52a2ecddaeb88bd90df65c7f1697a219d1ca6ffcf9e110ee62c

Observation eda86010-90f0-463f-82e6-7289d05c3004 · outbound

This paper cites Expected PL-like inequality.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Expected PL-like inequality

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:08.170669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:08.170669Z digest=sha256:25add31aaa4ccc737ac631a41be5342da5c54f02387442dc22257c7cbfe0b747

Observation ed74c292-a538-4c6d-9d15-6402d316c591 · outbound

This paper cites an unresolved cited work.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:08.266816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:08.266816Z digest=sha256:1dc2c83c3f104e26ef43dbc5e70675fd91c62bba6b3ddde9ec85a38890c49d66

Observation f7772079-6715-4b1a-ac11-f66dad6d11cc · outbound

This paper cites Absolute continuity of wasserstein barycenters on manifolds with a lower ricci curva- ture bound.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Absolute continuity of wasserstein barycenters on manifolds with a lower ricci curva- ture bound

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.915525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.915525Z digest=sha256:d8b75bd9d818fa3c05bfa55143d03ce2f956f89bdeccbe9f49c92c82deed3805

Observation bb1c3548-0956-4de5-80bd-8bb4c261223b · outbound

This paper cites doi: 10.1007/978-3-319-11259-6 23-1.

Convergence Rates for Distribution Matching with Sliced Optimal Transport doi: 10.1007/978-3-319-11259-6 23-1

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:05.548880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:05.548880Z digest=sha256:bebcde6dff0bedbe2218efc431204e3dbea165f429c718f8fa75d38fc89edb59

Observation 05445484-8ff3-4b6c-a014-e23af5462503 · outbound

This paper cites Optimization with First Order Algorithms.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Optimization with First Order Algorithms

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.391639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.391639Z digest=sha256:95f053723e30958de6607699ef4789c790239f5ba02761a467dd8a9faabcf173

Observation a517a88c-c9b4-411b-8709-da8fc49faa96 · outbound

This paper cites Statistical optimal transport.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Statistical optimal transport

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:05.757289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:05.757289Z digest=sha256:8b3e07e9f066faffd5dd4bbf7d8fcad733eafc2481d47fcbcd7db851aed19289

Observation f398d8f4-d404-4acf-912d-43ed90d00a8a · outbound

This paper cites URL https://doi.org/10.1214/22-EJS2001.

Convergence Rates for Distribution Matching with Sliced Optimal Transport URL https://doi.org/10.1214/22-EJS2001

Reference 2022

Resolution
verified exact
doi, observed 2026-08-03T01:13:24.102558Z

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=2026-08-03T01:09:05.913807Z digest=sha256:b53ad676d4c18590938b35910c6de3c5f40df99b37a7e3f00f3d5726ef1630ce

Observation 02a8a8e6-f067-4c68-9b74-b672b1f49e2a · outbound

This paper cites On minimax density estimation via measure transport.

Convergence Rates for Distribution Matching with Sliced Optimal Transport On minimax density estimation via measure transport

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:05.588112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:05.588112Z digest=sha256:6e7158f649d4f45e82740450b40e8b64cb4aea128aea30ffd01a934d0f9113ad

Observation 3f7aad18-a1d2-4642-863d-8f64675c9bfa · outbound

This paper cites Sliced optimal transport: is it a suitable replacement?.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Sliced optimal transport: is it a suitable replacement?

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.236658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.236658Z digest=sha256:1c0df33042af5fffc0f41bbd2c03b68f2e620c2c2b3f2aa3d8c175c1aeae6b7f

Observation e0e75cbd-fe31-462a-858a-b0adf829e2a4 · outbound

This paper cites Measure transfer via stochastic slicing and matching.arXiv preprint arXiv:2307.05705,.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Measure transfer via stochastic slicing and matching.arXiv preprint arXiv:2307.05705,

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-03T01:09:06.066130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:09:06.066130Z digest=sha256:f683064474259203c2a1905ae1bd10401e61635de3e191f492e04010d795e09b

Pith citing papers

Observation 34a29734-a466-404e-90b9-dab6647e93b7 · inbound

Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization cites this paper.

Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization Convergence Rates for Distribution Matching with Sliced Optimal Transport

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-07-16T02:22:33.212381Z

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=2026-06-29T05:03:03.616289Z digest=sha256:0a29d6b3163ede64a314b433de1b14f092f45026c73a87ab9fe58f4df0d8b16f