Paper Citation Record · LEDGER

Nonnegative matrix factorization and the principle of the common cause

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.03652.

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

pith.paper-citation-record.v1
2509.03652 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:53:28.631326Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

35 of 35 outbound references displayed

verified exact1
verified fuzzy33
unresolved1
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b727a551-cf1a-4978-aa9b-e0c523d4c804 · outbound

This paper cites Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values,.

Nonnegative matrix factorization and the principle of the common cause Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:36.955430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b2d639d9-fc54-44d6-8821-83bbda680110 · outbound

This paper cites Learning the parts of objects by non- negative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause Learning the parts of objects by non- negative matrix factorization,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T10:53:25.201199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24fb1008-b295-4d4a-9003-09d42d613e04 · outbound

This paper cites Gillis, Nonnegative Matrix Factorization.

Nonnegative matrix factorization and the principle of the common cause Gillis, Nonnegative Matrix Factorization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:36.751314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b13599b-4c8c-42ba-922f-323062b06d38 · outbound

This paper cites On the complexity of nonnegative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause On the complexity of nonnegative matrix factorization,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:36.514805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation df1ddbb7-b45d-48e6-b5ca-cac263d7d3c7 · outbound

This paper cites Assessing methods for evaluating the number of components in non-negative matrix factorization,.

Nonnegative matrix factorization and the principle of the common cause Assessing methods for evaluating the number of components in non-negative matrix factorization,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:36.293905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8994bdb3-11c5-475b-bfd0-1fb1eb59643a · outbound

This paper cites Rank selection in nonnegative matrix factorization using minimum description length,.

Nonnegative matrix factorization and the principle of the common cause Rank selection in nonnegative matrix factorization using minimum description length,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:36.042533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ce56cb82-2bf1-404a-9bf4-67f533d37b85 · outbound

This paper cites Reichenbach, The direction of time.

Nonnegative matrix factorization and the principle of the common cause Reichenbach, The direction of time

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:35.809165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ee8712b1-ce21-4b54-9bb4-25cf791bf80b · outbound

This paper cites Suppes, A probabilistic theory of causality.

Nonnegative matrix factorization and the principle of the common cause Suppes, A probabilistic theory of causality

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:35.544886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 80b87ad2-6899-45c0-a7db-96ef7e784011 · outbound

This paper cites Peters, D.

Nonnegative matrix factorization and the principle of the common cause Peters, D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:35.318155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a056d429-e3f0-44be-8ab7-4ad8cc1b30c4 · outbound

This paper cites Colloquium: Bell’s theorem and locally mediated reformulations of quantum mechanics,.

Nonnegative matrix factorization and the principle of the common cause Colloquium: Bell’s theorem and locally mediated reformulations of quantum mechanics,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:35.051155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fc380e09-e8ee-47b4-8414-dd4775ab2094 · outbound

This paper cites The direction of time,.

Nonnegative matrix factorization and the principle of the common cause The direction of time,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:34.818488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2c857028-a2ab-42f5-ad16-237710aaa654 · outbound

This paper cites A causal-model theory of conceptual representation and cat- egorization.

Nonnegative matrix factorization and the principle of the common cause A causal-model theory of conceptual representation and cat- egorization

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:34.600880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 31df8cbe-fb57-4f61-b780-14d341265e1f · outbound

This paper cites Nonnegative matrix factorization: an analytical and interpretive tool in computational biology,.

Nonnegative matrix factorization and the principle of the common cause Nonnegative matrix factorization: an analytical and interpretive tool in computational biology,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:34.434507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 64e0ee84-bca5-4e46-8d55-e5ed682508ad · outbound

This paper cites Common cause explanation,.

Nonnegative matrix factorization and the principle of the common cause Common cause explanation,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:34.195784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 42a57a67-777b-496c-acd9-0f8f04f100e9 · outbound

This paper cites Resolution of Simpson's paradox via the common cause principle.

Nonnegative matrix factorization and the principle of the common cause Resolution of Simpson's paradox via the common cause principle

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:53:28.809295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 41fa8614-e4ee-4a8d-af15-60393f4b0b84 · outbound

This paper cites Image denoising review: From classical to state-of-the-art approaches,.

Nonnegative matrix factorization and the principle of the common cause Image denoising review: From classical to state-of-the-art approaches,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:33.967350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 94d2c73e-e3dd-4058-8827-6b69685bc01f · outbound

This paper cites Non-negative matrix factorization with fixed row and column sums,.

Nonnegative matrix factorization and the principle of the common cause Non-negative matrix factorization with fixed row and column sums,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:33.741829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 527fb23b-83cc-4229-94ec-79218fcd9c7f · outbound

This paper cites Scikit-learn: Machine learning in python,.

Nonnegative matrix factorization and the principle of the common cause Scikit-learn: Machine learning in python,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:33.524983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b4599f6-0e16-4c37-b583-d76a9576b598 · outbound

This paper cites Nonnegative ranks, decompositions, and factorizations of nonnegative matrices,.

Nonnegative matrix factorization and the principle of the common cause Nonnegative ranks, decompositions, and factorizations of nonnegative matrices,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:33.263211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation db05c8ff-0756-4433-9a22-a3378077941c · outbound

This paper cites When does non-negative matrix factor- ization give a correct decomposition into parts?.

Nonnegative matrix factorization and the principle of the common cause When does non-negative matrix factor- ization give a correct decomposition into parts?

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:33.057505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cdb61cf0-7224-48b2-9fa7-3605bdb6c2d8 · outbound

This paper cites The most likely common cause,.

Nonnegative matrix factorization and the principle of the common cause The most likely common cause,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:32.841223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5da2b88f-052e-4b0c-a599-b2c7b853711b · outbound

This paper cites Causal feature selection,.

Nonnegative matrix factorization and the principle of the common cause Causal feature selection,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:32.612351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation beaa73f7-d9b5-4df0-8c6d-c6bc8506539f · outbound

This paper cites A unified view of causal and non-causal feature selection,.

Nonnegative matrix factorization and the principle of the common cause A unified view of causal and non-causal feature selection,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:32.424429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b3fdf4f0-77b7-4084-a730-1af55b7f39a4 · outbound

This paper cites Generalised reichenbachian common cause systems,.

Nonnegative matrix factorization and the principle of the common cause Generalised reichenbachian common cause systems,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:32.202651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5ccc689a-59da-4bbe-9de3-c52c36bee70e · outbound

This paper cites Horwich, Asymmetries in time: Problems in the philosophy of science.

Nonnegative matrix factorization and the principle of the common cause Horwich, Asymmetries in time: Problems in the philosophy of science

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:31.973063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c9138017-4525-4031-8ce4-382c299772f7 · outbound

This paper cites The principle of the common cause faces the bernstein paradox,.

Nonnegative matrix factorization and the principle of the common cause The principle of the common cause faces the bernstein paradox,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:31.778812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f2dfae34-0276-45dd-ba67-4abb804680a5 · outbound

This paper cites Imprecise bayesian networks as causal models,.

Nonnegative matrix factorization and the principle of the common cause Imprecise bayesian networks as causal models,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:31.396632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 28b6dce5-4c2a-43a7-8227-8a0bb4a4faa1 · outbound

This paper cites The database of faces,.

Nonnegative matrix factorization and the principle of the common cause The database of faces,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:31.163025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fe7292d4-1cf2-4a7c-ba14-467838bb570c · outbound

This paper cites Age progression/regression by condi- tional adversarial autoencoder,.

Nonnegative matrix factorization and the principle of the common cause Age progression/regression by condi- tional adversarial autoencoder,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:30.935841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 17e9446f-e8b0-4a51-b484-e939dd8ec141 · outbound

This paper cites Utkface,.

Nonnegative matrix factorization and the principle of the common cause Utkface,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:30.714609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c2e7e88b-4038-4f4b-a31b-7af4061bf3ca · outbound

This paper cites Model-order selection: a review of information criterion rules,.

Nonnegative matrix factorization and the principle of the common cause Model-order selection: a review of information criterion rules,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:30.304053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4da951fe-2968-418a-a946-09a90a12fe7d · outbound

This paper cites On the derivation of the bayesian information criterion,.

Nonnegative matrix factorization and the principle of the common cause On the derivation of the bayesian information criterion,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:29.921451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 84d29404-5c22-4969-8eb6-a161f8b45c85 · outbound

This paper cites Weight of evidence: A brief survey,.

Nonnegative matrix factorization and the principle of the common cause Weight of evidence: A brief survey,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:29.666457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ca09d1b4-2b56-48f2-9cd3-615646cb4c9c · outbound

This paper cites Scipy 1.0: Fundamental algorithms for scientific computing in python,.

Nonnegative matrix factorization and the principle of the common cause Scipy 1.0: Fundamental algorithms for scientific computing in python,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:29.427775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7541e944-bb73-4af5-b3a2-c6b05cd20d7d · outbound

This paper cites Causal feature learning: an overview,.

Nonnegative matrix factorization and the principle of the common cause Causal feature learning: an overview,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:29.117722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.