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Paper Citation Record · LEDGER

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2412.01926.

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

pith.paper-citation-record.v1
2412.01926 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:09:12.780173Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact0
  • verified fuzzy4
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d303e01-08bf-4650-b12a-79b7239f9cd7 · outbound

This paper cites Hence, we conclude that the exact choice of the objective for the ridge regression is likely not of crucial importance for our method.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Hence, we conclude that the exact choice of the objective for the ridge regression is likely not of crucial importance for our method

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:12.850258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T00:09:12.778042Z digest=sha256:3e4a447df1d5ecda828553cf5f8a82a34e3f6c667798da8c9c275e9c8a801940

Observation b1540dbf-9db1-4725-b259-dd7611ef764d · outbound

This paper cites Understanding and Improving the Role of Projection Head in Self-Supervised Learning.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Understanding and Improving the Role of Projection Head in Self-Supervised Learning

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.758107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.758107Z digest=sha256:ae6a41cc6f009c0e289d5b23997580c69c0b58459a212698d685c93fcfcdc1ec

Observation 23c17893-bd82-4287-8db8-690aba3bdfb7 · outbound

This paper cites Large Batch Training of Convolutional Networks.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Large Batch Training of Convolutional Networks

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.775349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.775349Z digest=sha256:2f8d4bcfd694dfb0e8d83f52ab9cdddbd22411384f59a49cf8c26cfc86e96181

Observation cc7dc528-d811-4d18-8286-4bf422eece3c · outbound

This paper cites an unresolved cited work.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:09:12.842727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T00:09:12.780173Z digest=sha256:7dd61266f98e03b0c3b46d13753cfcf84a242517b44d5a5255e20e6d181d7b59

Observation 4eaec9fd-0cac-40bb-ab72-5d259e61ec6b · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.754635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.754635Z digest=sha256:cf53c6cb832d10aa20c8809bc990b7c3a3669d79de1a4617dc0b8e7ed8e4bba6

Observation 8421728c-8937-483c-977a-be5408959e53 · outbound

This paper cites Generative adversarial networks are special cases of artificial curiosity (1990) and also closely related to predictability minimization (1991).Neural Networks, 127:58–66,.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Generative adversarial networks are special cases of artificial curiosity (1990) and also closely related to predictability minimization (1991).Neural Networks, 127:58–66,

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:12.858047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T00:09:12.768713Z digest=sha256:809d1f6ecff9aeb1b8035b05109df272685f6923ed9085dbe35061f533153d71

Observation 0020b40f-bef6-4712-bc15-aded0026dce5 · outbound

This paper cites Representation Learning with Contrastive Predictive Coding.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Representation Learning with Contrastive Predictive Coding

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.764947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.764947Z digest=sha256:d2b3c072412318a89f45e23b3dd0ade75f29df633399d5f5c2f76ea8ee3916ee

Observation edd42f53-910d-4c2f-93ef-1fd5b4820510 · outbound

This paper cites Xinlei Chen and Kaiming He.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Xinlei Chen and Kaiming He

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:12.873264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T00:09:12.747962Z digest=sha256:d39fabed2eb89497c1a268d5297fca55d8f30df3b8f66bfdd6c9dd7429772fbb

Observation 8a10aa7f-c6d9-4ab8-bc2f-d954ab596930 · outbound

This paper cites Computer Vision Self-supervised Learning Methods on Time Series.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Computer Vision Self-supervised Learning Methods on Time Series

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.761210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.761210Z digest=sha256:34b94477ebaf5af4845ebc1ea27dd0ef4082bb81df5e5087fdb3ded72ebbe049

Observation a169e55c-e5d6-4560-946f-8bf87e0f3645 · outbound

This paper cites Imagenet: A large-scale hierarchical image database.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning Imagenet: A large-scale hierarchical image database

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:09:12.865727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T00:09:12.751214Z digest=sha256:76391defbd4985dc9a15ca8bef3108c22941b0c1acba8f8a70596fa13bc932cd

Observation 1a3408a6-27de-416c-8084-ed618c19c408 · outbound

This paper cites VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.744396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.744396Z digest=sha256:5d1d72fd36d489a3e3d362f70fbbdbeec863a63e90332082e0a36ee65c1abce2

Observation c0e070cd-d84e-4767-81c0-dd8cd4671947 · outbound

This paper cites A Note on Connecting Barlow Twins with Negative-Sample-Free Contrastive Learning.

Beyond Pairwise Correlations: Higher-Order Redundancies in Self-Supervised Representation Learning A Note on Connecting Barlow Twins with Negative-Sample-Free Contrastive Learning

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-12T00:09:12.771454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:09:12.771454Z digest=sha256:4d6f6dfd61b7745fb64717b9d247e5e3d0eac6ceae286cae9c29cc66a3ea5294

Pith citing papers

No inbound Pith citation observations are available.