Paper Citation Record · LEDGER

Collision-based Dynamics for Multi-Marginal Optimal Transport

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2412.16385.

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

pith.paper-citation-record.v1
2412.16385 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:44:09.968252Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

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

12 of 12 outbound references displayed

verified exact3
verified fuzzy7
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4bca65a-2e37-4972-b03d-103913732a02 · outbound

This paper cites 7, the proposed collision-based approach outperforms Sinkhorn in the distribution of relative error in the Wasserstein distance, speed-up and memory consumption.

Collision-based Dynamics for Multi-Marginal Optimal Transport 7, the proposed collision-based approach outperforms Sinkhorn in the distribution of relative error in the Wasserstein distance, speed-up and memory consumption

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.335085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7251c6cc-0d44-453c-9e29-f487d87125b6 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Collision-based Dynamics for Multi-Marginal Optimal Transport Adam: A Method for Stochastic Optimization

Reference 1942

Resolution: unresolved; no resolver link, observed 2026-08-11T10:44:09.925410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23f669c9-c6e7-499a-8b44-db07d517c445 · outbound

This paper cites (32) By induction, we have 13 F P (1) = ρt0 , (33) F Pr(n) = P [F Ps(m), FPt(n−m)].

Collision-based Dynamics for Multi-Marginal Optimal Transport (32) By induction, we have 13 F P (1) = ρt0 , (33) F Pr(n) = P [F Ps(m), FPt(n−m)]

Reference 1951

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.372931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3763c8a6-0e64-4bec-bd5c-a05b508328f8 · outbound

This paper cites On random batch methods (RBM) for interacting particle systems driven by Levy processes.

Collision-based Dynamics for Multi-Marginal Optimal Transport On random batch methods (RBM) for interacting particle systems driven by Levy processes

Reference 1955

Resolution: verified exact; raw_fallback, observed 2026-08-11T10:44:10.232310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3e7a0608-fa42-4b49-a8d6-3923f4a17011 · outbound

This paper cites Hossein Gorji.

Collision-based Dynamics for Multi-Marginal Optimal Transport Hossein Gorji

Reference 1990

Resolution: verified exact; raw_fallback, observed 2026-08-11T10:44:10.129885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3dbd0d0f-db25-4613-81cb-94153e4e61ee · outbound

This paper cites Displacement interpolation using Lagrangian mass transport.

Collision-based Dynamics for Multi-Marginal Optimal Transport Displacement interpolation using Lagrangian mass transport

Reference 1994

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.457821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 73d11f5d-c5d2-4a1c-9a94-5cf99bd1dba7 · outbound

This paper cites Fine-grained repre- sentation learning and recognition by exploiting hierarchical semantic embedding.

Collision-based Dynamics for Multi-Marginal Optimal Transport Fine-grained repre- sentation learning and recognition by exploiting hierarchical semantic embedding

Reference 2000

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.435440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cb6cfe16-48e9-4300-b2dd-3fea973c3a8a · outbound

This paper cites Fast and robust earth mover’s distances.

Collision-based Dynamics for Multi-Marginal Optimal Transport Fast and robust earth mover’s distances

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.415792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 02b6b6a1-3e06-469b-8455-898248fd4558 · outbound

This paper cites Let us revisit the Botlzmann equation.

Collision-based Dynamics for Multi-Marginal Optimal Transport Let us revisit the Botlzmann equation

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.392270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6875e3cb-fb32-4198-a32d-775e30f8457c · outbound

This paper cites Projected Langevin dynamics and a gradient flow for entropic optimal transport.

Collision-based Dynamics for Multi-Marginal Optimal Transport Projected Langevin dynamics and a gradient flow for entropic optimal transport

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-11T10:44:09.912166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db21c7b7-bc33-4271-80d7-9ed09bca9a45 · outbound

This paper cites Celebrating Cercignani's conjecture for the Boltzmann equation.

Collision-based Dynamics for Multi-Marginal Optimal Transport Celebrating Cercignani's conjecture for the Boltzmann equation

Reference 2019

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:44:10.284078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a683a84d-9eb2-4398-947a-17daeb625823 · outbound

This paper cites We draw Np samples from the two marginals, and solve the optimal transport problem using the proposed collision-based algorithm 1, EMD and Sinkhron.

Collision-based Dynamics for Multi-Marginal Optimal Transport We draw Np samples from the two marginals, and solve the optimal transport problem using the proposed collision-based algorithm 1, EMD and Sinkhron

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:44:10.355918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.