Paper Citation Record · LEDGER

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case

As of 4 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2512.20914.

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

pith.paper-citation-record.v1
2512.20914 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T20:14:49.888448Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:15:02.628042Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-01T18:16:15.623592Z

Reference resolution

25 of 25 outbound references displayed

verified exact2
verified fuzzy22
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 188ac612-bf5f-468a-880d-d4b6ae873936 · outbound

This paper cites Barycenters in the wasserstein space.SIAM Journal on Mathematical Analysis, 43(2).

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Barycenters in the wasserstein space.SIAM Journal on Mathematical Analysis, 43(2)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.429496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ce41e529-a626-407f-b635-4d4a96812757 · outbound

This paper cites A fixed- point approach to barycenters in wasserstein space.Journal of Mathematical Analysis and Applications, 441(2):744–762.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case A fixed- point approach to barycenters in wasserstein space.Journal of Mathematical Analysis and Applications, 441(2):744–762

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.426389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0d0f3172-8f05-422b-a78a-e2269650d6fb · outbound

This paper cites Phd thesis, New York University.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Phd thesis, New York University

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:28:49.777019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d1e267c2-948b-4510-ad22-78027281b0af · outbound

This paper cites Invariant Risk Minimization.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Invariant Risk Minimization

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-05-16T20:18:24.071543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fb28ed38-b721-4401-af38-61e43ab951f4 · outbound

This paper cites Transfer learning un- der group-label shift: A semiparametric exponential tilting approach.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Transfer learning un- der group-label shift: A semiparametric exponential tilting approach

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:18:24.076585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 487b95ce-b0b5-4077-bd96-476786b161aa · outbound

This paper cites Conditional independence in statistical theory.Journal of the Royal Statistical Society Series B: Statistical Methodology, 41(1):1–15.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Conditional independence in statistical theory.Journal of the Royal Statistical Society Series B: Statistical Methodology, 41(1):1–15

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:28:49.771438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e52d3f00-a198-48e9-bf14-d3f59a65b61f · outbound

This paper cites Environment invariant linear least squares.The Annals of Statistics, 52(5).

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Environment invariant linear least squares.The Annals of Statistics, 52(5)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:28:49.774332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2ee708db-7911-4976-a13d-38578fc0e6c0 · outbound

This paper cites Domain-adversarial training of neural networks.Journal of Machine Learning Research, 17(59).

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Domain-adversarial training of neural networks.Journal of Machine Learning Research, 17(59)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:28:49.779795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e6dc1eee-330b-4154-bea1-ff4a74ddf0f4 · outbound

This paper cites Equality of opportunity in supervised learning.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Equality of opportunity in supervised learning

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:28:49.782618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6a162e56-2beb-42d4-bd65-a740569dba60 · outbound

This paper cites Williams, and Emily C.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Williams, and Emily C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.422815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 849a27a5-d4c7-4790-bb6d-92752fba8f4d · outbound

This paper cites Gender imbalance in medical imaging datasets produces biased classi- fiers for computer-aided diagnosis.Proceedings of the National Academy of Sciences, 117(23):12592–12594.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Gender imbalance in medical imaging datasets produces biased classi- fiers for computer-aided diagnosis.Proceedings of the National Academy of Sciences, 117(23):12592–12594

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.414427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4092e865-a5ce-4514-96a2-e29e82a3ad9a · outbound

This paper cites Lipnick, Esteban G.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Lipnick, Esteban G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T20:18:24.763237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8be7720a-0025-43c8-9ce6-b4af140ae520 · outbound

This paper cites Detecting and correcting for label shift with black box predictors.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Detecting and correcting for label shift with black box predictors

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.417091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9dc2d7c4-0e68-4e4a-8cab-f78a89a29a26 · outbound

This paper cites A survey on bias and fairness in machine learning.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case A survey on bias and fairness in machine learning

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.419938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bd425888-d9e8-488e-8967-7622d4d0e456 · outbound

This paper cites Causal inference by using invariant prediction: identification and confidence intervals.Journal of the Royal Statistical Society Series B: Statistical Methodology, 78(5).

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Causal inference by using invariant prediction: identification and confidence intervals.Journal of the Royal Statistical Society Series B: Statistical Methodology, 78(5)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.404778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3fb9d5ea-8659-4fb6-aa3b-d9198fae1882 · outbound

This paper cites Computational optimal transport: With applications to data science.Foundations and Trends®in Machine Learning, 11(5-6):355–607.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Computational optimal transport: With applications to data science.Foundations and Trends®in Machine Learning, 11(5-6):355–607

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T20:18:24.757835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a406db78-4b4e-4e2c-b928-0cfa883cd7fb · outbound

This paper cites Out- of-distribution generalization in the presence of nuisance-induced spurious correlations.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Out- of-distribution generalization in the presence of nuisance-induced spurious correlations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T20:18:24.760472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e37d310e-e959-49b1-9d2b-de081691bf6e · outbound

This paper cites Anchor regression: Heterogeneity-aware regression.Journal of the Royal Statistical Society: Series B (Statistical Methodology), 83(2).

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Anchor regression: Heterogeneity-aware regression.Journal of the Royal Statistical Society: Series B (Statistical Methodology), 83(2)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T20:18:24.755166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e8248e81-db75-4bba-a2cf-bf1b9a1c1ec6 · outbound

This paper cites Oncausalandanticausallearning.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Oncausalandanticausallearning

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.408298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ccd76615-d648-404c-b048-e974ee08711c · outbound

This paper cites Toward causal representation learning.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Toward causal representation learning

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.395072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 29625328-a528-462b-ab72-74177db23054 · outbound

This paper cites Tabak, Giulio Trigila, and Wenjun Zhao.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Tabak, Giulio Trigila, and Wenjun Zhao

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.398189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2325f3d7-f9e6-4bce-b042-415831a3fef6 · outbound

This paper cites Coun- terfactual invariance to spurious correlations in text classification.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Coun- terfactual invariance to spurious correlations in text classification

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.391499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5766328e-9485-4a6b-a30f-8c2e019d59df · outbound

This paper cites an unresolved cited work.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-17T01:23:50.388334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 581874a6-6e83-4d0d-af84-ce63abedf34d · outbound

This paper cites Generalized out-of-distribution detection: A survey.International Journal of Computer Vision, 132(12):5635–5662.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Generalized out-of-distribution detection: A survey.International Journal of Computer Vision, 132(12):5635–5662

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.401748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2be48dfc-d8ab-4f6e-89a7-65185c790afa · outbound

This paper cites Domain generalization via optimal transport with metric similarity learning.Neurocomputing, 456.

Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case Domain generalization via optimal transport with metric similarity learning.Neurocomputing, 456

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-17T01:23:50.411181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation 95f3bf5e-1193-472d-b305-9c8dc184b374 · inbound

Learning sufficient low-dimensional structures through conditional optimal transport cites this paper.

Learning sufficient low-dimensional structures through conditional optimal transport Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case

Reference 2007

Resolution: verified exact; local_arxiv, observed 2026-08-01T14:18:42.025264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.