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Paper Citation Record · LEDGER

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space

As of 21 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2605.17232.

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

pith.paper-citation-record.v1
2605.17232 v4

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:53:06.250610Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T18:55:55.974028Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-29T19:03:51.423580Z

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation a632c589-81c4-4074-9441-c4656dcf3925 · outbound

This paper cites write newline.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space write newline

Reference 1

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Observation aabd5922-9525-425b-9ff8-2bc2029cb19d · outbound

This paper cites On the numerical analysis of inhomogeneous continuous-time markov chains.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space On the numerical analysis of inhomogeneous continuous-time markov chains

Reference 2

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Observation cf8aadf9-2dfc-4bf3-a33d-dafb41114e59 · outbound

This paper cites Structured denoising diffusion models in discrete state-spaces.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Structured denoising diffusion models in discrete state-spaces

Reference 3

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Observation 83b0cd12-0657-493d-bdab-e5e226862cd2 · outbound

This paper cites Katsoulakis, Yannis Pantazis, and Luc Rey-Bellet.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Katsoulakis, Yannis Pantazis, and Luc Rey-Bellet

Reference 4

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Observation 2d8157b7-4369-46d9-9f9a-e47921016651 · outbound

This paper cites A continuous time framework for discrete denoising models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space A continuous time framework for discrete denoising models

Reference 5

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Observation b2aeab2a-d979-490f-961a-cf0644a2df4a · outbound

This paper cites Generative flows on discrete state-spaces: Enabling multimodal flows with applications to protein co-design.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Generative flows on discrete state-spaces: Enabling multimodal flows with applications to protein co-design

Reference 6

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Observation 60e526d6-7b86-4d8f-a420-64095bddb7ca · outbound

This paper cites The numerical stability of leaping methods for stochastic simulation of chemically reacting systems.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space The numerical stability of leaping methods for stochastic simulation of chemically reacting systems

Reference 7

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Observation 7dfd02b3-a09c-4018-99b2-9e4707a9e625 · outbound

This paper cites Efficient step size selection for the tau-leaping simulation method.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Efficient step size selection for the tau-leaping simulation method

Reference 8

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Observation c0c3e844-0b45-4769-8000-99d456636305 · outbound

This paper cites Maskgit: Masked generative image transformer.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Maskgit: Masked generative image transformer

Reference 9

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Observation 281bbec6-d233-4b26-9316-e46384d8f824 · outbound

This paper cites Muse: Text-To-Image Generation via Masked Generative Transformers.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Muse: Text-To-Image Generation via Masked Generative Transformers

Reference 10

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Observation 1831ca76-179a-4bcf-9eee-4fe41acdbc53 · outbound

This paper cites Convergence analysis of discrete diffusion model: Exact implementation through uniformization.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Convergence analysis of discrete diffusion model: Exact implementation through uniformization

Reference 11

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Observation 30d49101-7068-4e3e-8297-808b3b96b102 · outbound

This paper cites Optimal inference schedules for masked diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Optimal inference schedules for masked diffusion models

Reference 12

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Observation af7673da-889a-4edb-af22-0cceaf2c3426 · outbound

This paper cites Fast sampling via discrete non-markov diffusion models with predetermined transition time.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Fast sampling via discrete non-markov diffusion models with predetermined transition time

Reference 13

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Observation 549ff8e5-d4bb-41a4-a697-37a5f4ef984c · outbound

This paper cites Non-asymptotic convergence of discrete diffusion models: Masked and random walk dynamics.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Non-asymptotic convergence of discrete diffusion models: Masked and random walk dynamics

Reference 14

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Observation 06328133-479a-46b6-bef0-1a0025aee067 · outbound

This paper cites Efficient Sampling with Discrete Diffusion Models: Sharp and Adaptive Guarantees.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Efficient Sampling with Discrete Diffusion Models: Sharp and Adaptive Guarantees

Reference 15

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Observation b996f686-cfdf-4af2-87bd-d4d8b8f9b7c5 · outbound

This paper cites Approximate accelerated stochastic simulation of chemically reacting systems.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Approximate accelerated stochastic simulation of chemically reacting systems

Reference 16

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Observation cdb4eaa0-de0b-4dad-807b-0726e1b1251d · outbound

This paper cites Denoising diffusion probabilistic models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Denoising diffusion probabilistic models

Reference 17

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Observation 0d9fb48c-e623-4007-8c19-5afb87799b76 · outbound

This paper cites Simulation from endpoint-conditioned, continuous-time markov chains on a finite state space, with applications to molecular evolution.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Simulation from endpoint-conditioned, continuous-time markov chains on a finite state space, with applications to molecular evolution

Reference 18

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Observation 6d09d18b-2740-47d6-bae8-6be74bbb517d · outbound

This paper cites Argmax flows and multinomial diffusion: Learning categorical distributions.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Argmax flows and multinomial diffusion: Learning categorical distributions

Reference 19

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Observation 956aabf4-788e-4e58-8461-180a06a588fb · outbound

This paper cites Reversibility and stochastic networks.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Reversibility and stochastic networks

Reference 20

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Observation 7062199d-75e7-4abc-a728-8d08a9942b7c · outbound

This paper cites Tabddpm: Modelling tabular data with diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Tabddpm: Modelling tabular data with diffusion models

Reference 21

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Observation e3b3238d-a456-4e34-bdc4-cb7aa447e6c0 · outbound

This paper cites Discrete markov probabilistic models: An improved discrete score-based framework with sharp convergence bounds under minimal assumptions.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Discrete markov probabilistic models: An improved discrete score-based framework with sharp convergence bounds under minimal assumptions

Reference 22

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Observation 27af526d-9b3c-411d-8956-fa25da581fbf · outbound

This paper cites Markov chains and mixing times, volume 107.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Markov chains and mixing times, volume 107

Reference 23

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Observation 85a70c06-7b71-45ea-8d69-124c3bf4008a · outbound

This paper cites Breaking ar’s sampling bottleneck: Provable acceleration via diffusion language models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Breaking ar’s sampling bottleneck: Provable acceleration via diffusion language models

Reference 24

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Observation 7faa3103-b51b-444d-b55e-0cbd9ef0ef37 · outbound

This paper cites Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 25

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Observation 0fa67ec0-f488-4966-864a-7894b4a5d7fc · outbound

This paper cites Absorb and converge: Provable convergence guarantee for absorbing discrete diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Absorb and converge: Provable convergence guarantee for absorbing discrete diffusion models

Reference 26

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Observation 7ba2904c-ece2-40a4-8e7e-583753cff777 · outbound

This paper cites Discrete diffusion models: Novel analysis and new sampler guarantees.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Discrete diffusion models: Novel analysis and new sampler guarantees

Reference 27

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Observation 062c7d68-5c6c-470e-a123-7c402058c131 · outbound

This paper cites Sharp convergence rates for masked diffusion models, 2026 b.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Sharp convergence rates for masked diffusion models, 2026 b

Reference 28

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Observation e1a5fd6f-29a5-4982-94cc-97eb8a60783f · outbound

This paper cites Discrete diffusion modeling by estimating the ratios of the data distribution.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Discrete diffusion modeling by estimating the ratios of the data distribution

Reference 29

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Observation b12b65c1-ae73-4b14-90c7-4faee6559e8c · outbound

This paper cites Concrete score matching: Generalized score matching for discrete data.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Concrete score matching: Generalized score matching for discrete data

Reference 30

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Observation fc2cfdb9-1a6b-4360-b2de-2375aedd0e77 · outbound

This paper cites Score-based generative models are provably robust: an uncertainty quantification perspective.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Score-based generative models are provably robust: an uncertainty quantification perspective

Reference 31

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Observation 394b00b8-65f6-47f0-b5c4-0fa27269918d · outbound

This paper cites Large language diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Large language diffusion models

Reference 32

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Observation 3a261d82-93d7-471d-b3c9-155c0dec903f · outbound

This paper cites Jump your steps: Optimizing sampling schedule of discrete diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Jump your steps: Optimizing sampling schedule of discrete diffusion models

Reference 33

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Observation 4bee0938-db25-4bda-af23-ec80c5934cc1 · outbound

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

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Computational optimal transport: With applications to data science

Reference 34

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Observation 5e2d8e1f-72e0-45ff-b5bf-ecc5c672f5d9 · outbound

This paper cites How discrete and continuous diffusion meet: Comprehensive analysis of discrete diffusion models via a stochastic integral framework.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space How discrete and continuous diffusion meet: Comprehensive analysis of discrete diffusion models via a stochastic integral framework

Reference 35

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Observation bfd63542-6072-4f8e-b47d-1a9b7fe02946 · outbound

This paper cites Fast solvers for discrete diffusion models: Theory and applications of high-order algorithms.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Fast solvers for discrete diffusion models: Theory and applications of high-order algorithms

Reference 36

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Observation 51d9b804-177d-4716-a7ce-7b912458ee4d · outbound

This paper cites High-resolution image synthesis with latent diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space High-resolution image synthesis with latent diffusion models

Reference 37

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This paper cites Simple and effective masked diffusion language models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Simple and effective masked diffusion language models

Reference 38

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Observation 1012b1c0-2680-4ff2-bfd6-65b55aa51bc1 · outbound

This paper cites Simple guidance mechanisms for discrete diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Simple guidance mechanisms for discrete diffusion models

Reference 39

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Observation 1101738f-e543-4f8a-b43c-eb1781192b77 · outbound

This paper cites Simplified and generalized masked diffusion for discrete data.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Simplified and generalized masked diffusion for discrete data

Reference 40

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Observation f1ef3465-98c5-445e-9909-08418429886b · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynamics.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Deep unsupervised learning using nonequilibrium thermodynamics

Reference 41

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This paper cites Denoising diffusion implicit models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Denoising diffusion implicit models

Reference 42

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Observation c978fbb7-0c52-4b69-bcc2-ed6aa4cc1575 · outbound

This paper cites Score-based generative modeling through stochastic differential equations.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Score-based generative modeling through stochastic differential equations

Reference 43

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Observation 34065335-3b2e-4060-92fa-5d07dd05ed5a · outbound

This paper cites On integral probability metrics, \phi-divergences and binary classification.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space On integral probability metrics, \phi-divergences and binary classification

Reference 44

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Observation 8e1f661a-44c2-4114-a6a6-dcef538abd52 · outbound

This paper cites Score-based continuous-time discrete diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Score-based continuous-time discrete diffusion models

Reference 45

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Observation 128ae914-f9ff-4ff4-b6f6-776c8fee7f2f · outbound

This paper cites Digress: Discrete denoising diffusion for graph generation.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Digress: Discrete denoising diffusion for graph generation

Reference 46

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Observation c081b2ce-fe6e-4b7f-8f8f-bec52e901684 · outbound

This paper cites Convergence of score-based discrete diffusion models: A discrete-time analysis.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Convergence of score-based discrete diffusion models: A discrete-time analysis

Reference 47

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Observation 1db73d4a-6b64-4eda-a4e5-41f892630569 · outbound

This paper cites Unified discrete diffusion for categorical data.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Unified discrete diffusion for categorical data

Reference 48

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Observation 0bf641af-dc1e-4cc1-90f0-d9f5e4484893 · outbound

This paper cites Informed correctors for discrete diffusion models.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Informed correctors for discrete diffusion models

Reference 49

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Observation 07f628df-09bc-463c-bb24-13ed2637edf3 · outbound

This paper cites Masked diffusion models are secretly time-agnostic masked models and exploit inaccurate categorical sampling.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Masked diffusion models are secretly time-agnostic masked models and exploit inaccurate categorical sampling

Reference 50

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Observation 2ef894cd-b6f3-49ae-8117-2d8c46c9980b · outbound

This paper cites Mdns: Masked diffusion neural sampler via stochastic optimal control.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Mdns: Masked diffusion neural sampler via stochastic optimal control

Reference 51

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Pith citing papers

Observation 9f684d7f-e69e-4de5-bfcc-3d3e0141f4f0 · inbound

From Scores to Gibbs Correctors: Accelerating Uniform-Rate Discrete Diffusion Models cites this paper.

From Scores to Gibbs Correctors: Accelerating Uniform-Rate Discrete Diffusion Models Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space

Reference 27

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