Paper Citation Record · LEDGER

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.04234.

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

pith.paper-citation-record.v1
2608.04234 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:39.481070Z

measured 20 of 20 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

20 of 20 outbound references displayed

verified exact1
verified fuzzy6
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c637a8c0-7732-421b-a90a-695e9464622f · outbound

This paper cites Jensen’s inequality then gives E∥Y 1∥ ≤ E∥Y 1∥2 1/2 , and summing overj∈[M] gives the display.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Jensen’s inequality then gives E∥Y 1∥ ≤ E∥Y 1∥2 1/2 , and summing overj∈[M] gives the display

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:40.068464Z

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 ebe864bd-b290-4aa5-975d-05700b13f29b · outbound

This paper cites Fixk∈N, define τ 2 k =σ 2∨ kσ2 n nX l=1 exp(∥zl∥4/(2kσ2)) ! so thatν,ˆνn are both 4-sub-Weibull with parameterτ 2 k.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Fixk∈N, define τ 2 k =σ 2∨ kσ2 n nX l=1 exp(∥zl∥4/(2kσ2)) ! so thatν,ˆνn are both 4-sub-Weibull with parameterτ 2 k

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:40.031940Z

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 e86b8e25-f6d9-44d9-bde2-c104eaa2e786 · outbound

This paper cites With limited data for multimodal alignment, let the structure guide you.arXiv preprint arXiv:2506.16895,.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport With limited data for multimodal alignment, let the structure guide you.arXiv preprint arXiv:2506.16895,

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:48:39.870140Z

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 b7179112-51f3-46b2-b431-b2e4388e3fa8 · outbound

This paper cites The np-hardness of the gromov-wasserstein distance.arXiv preprint arXiv:2408.06525,.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport The np-hardness of the gromov-wasserstein distance.arXiv preprint arXiv:2408.06525,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.318014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 152471e5-f98d-4ae7-8102-8efccde338a1 · outbound

This paper cites APE: Aligning Pretrained Encoders to Quickly Learn Aligned Multimodal Representations.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport APE: Aligning Pretrained Encoders to Quickly Learn Aligned Multimodal Representations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.337599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1981b284-f257-48b4-9c4f-e021f720c044 · outbound

This paper cites DINOv3.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport DINOv3

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.341847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0422d6a6-42c0-4462-a9ba-a437d0335a27 · outbound

This paper cites Joint Multimodal Learning with Deep Generative Models.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Joint Multimodal Learning with Deep Generative Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.346557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dc42bdd-a8d0-4c46-a73f-862e977b3b2c · outbound

This paper cites Learning Factorized Multimodal Representations.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Learning Factorized Multimodal Representations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.355369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10381b6a-9f88-4e45-a995-23b9e9f1bffb · outbound

This paper cites an unresolved cited work.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:48:40.098574Z

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 abf3f535-0d56-474b-9161-6836bc73e8d4 · outbound

This paper cites (1 + ˜σs) sup ψ∈Gs |(ν−ˆνn)ψ| # ≤ vuutE[(1 + ˜σs)2]E.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport (1 + ˜σs) sup ψ∈Gs |(ν−ˆνn)ψ| # ≤ vuutE[(1 + ˜σs)2]E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:40.049499Z

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 10c14462-35f9-4a3f-aef4-395354e85e57 · outbound

This paper cites In addition,νis 4-sub-Weibull with parameterσ 2, so E h SR ϵ ({ˆµi n}M i=1,ˆνn)− ˆSϵ({ˆµi n}M i=1,ˆνn) i ≤M 2ηRσ.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport In addition,νis 4-sub-Weibull with parameterσ 2, so E h SR ϵ ({ˆµi n}M i=1,ˆνn)− ˆSϵ({ˆµi n}M i=1,ˆνn) i ≤M 2ηRσ

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:39.997867Z

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 cb17c313-b967-408c-921d-f8e19e806394 · outbound

This paper cites Relative representations enable zero-shot latent space communication.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Relative representations enable zero-shot latent space communication

Reference 1909

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.327127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd586c6b-3c76-4d1c-b27f-9f6a5deddbe0 · outbound

This paper cites BEATs: Audio Pre-Training with Acoustic Tokenizers.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport BEATs: Audio Pre-Training with Acoustic Tokenizers

Reference 1984

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.299052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1d2651f-497d-47f8-951d-4145319febdd · outbound

This paper cites GIT: A Generative Image-to-text Transformer for Vision and Language.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport GIT: A Generative Image-to-text Transformer for Vision and Language

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.359785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b1d15b6-ca9f-412d-a8a7-7dcc472d629d · outbound

This paper cites Benjamin Elizalde, Soham Deshmukh, Mahmoud Al Ismail, and Huaming Wang.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Benjamin Elizalde, Soham Deshmukh, Mahmoud Al Ismail, and Huaming Wang

Reference 1998

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.303781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbb81740-fbd3-4b33-8596-3ef0f4999a38 · outbound

This paper cites Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.351250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c7a9d9b-4b34-4aea-bd09-040681c78a56 · outbound

This paper cites A statistical theory of contrastive pre-training and multimodal generative ai.arXiv preprint arXiv:2501.04641,.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport A statistical theory of contrastive pre-training and multimodal generative ai.arXiv preprint arXiv:2501.04641,

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.332068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ddf1f1-10a6-4893-8072-af1c09e8aadd · outbound

This paper cites VSE++: Improving Visual-Semantic Embeddings with Hard Negatives.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport VSE++: Improving Visual-Semantic Embeddings with Hard Negatives

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:39.308491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c5903a9-c9c3-4056-ae2f-83f591f4d42d · outbound

This paper cites 25 Wu, Zhu, and Shi David Alvarez-Melis and Tommi Jaakkola.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport 25 Wu, Zhu, and Shi David Alvarez-Melis and Tommi Jaakkola

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:40.139507Z

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 92f37297-4d30-441d-8070-2ceb172b2ca0 · outbound

This paper cites Paul Pu Liang, Yiwei Lyu, Xiang Fan, Zetian Wu, Yun Cheng, Jason Wu, Leslie Chen, Peter Wu, Michelle A Lee, Yuke Zhu, et al.

Multimodal Alignment Through Joint Kernel Entropic Gromov--Wasserstein Optimal Transport Paul Pu Liang, Yiwei Lyu, Xiang Fan, Zetian Wu, Yun Cheng, Jason Wu, Leslie Chen, Peter Wu, Michelle A Lee, Yuke Zhu, et al

Reference 2025

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:40.120895Z

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.