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Paper Citation Record · LEDGER

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors

As of 10 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2510.04758.

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pith.paper-citation-record.v1
2510.04758 v3

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56 of 56 outbound references displayed

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Outbound references

Observation 3a42ab48-0908-4631-a0d3-d1dcf20e2681 · outbound

This paper cites Deep canonical correlation analy- sis.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Deep canonical correlation analy- sis

Reference 1

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Observation dcc35bcb-40d9-4f6a-902b-9257097e3cd0 · outbound

This paper cites Kernel independent component analysis.Journal of ma- chine learning research, 3(Jul):1–48, 2002.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Kernel independent component analysis.Journal of ma- chine learning research, 3(Jul):1–48, 2002

Reference 2

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Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Unresolved cited work

Reference 3

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Observation 1d17972f-e6f7-42bc-84d1-71649b779c36 · outbound

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

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learning

Reference 4

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Observation 218a69b7-8af4-4729-9be7-1b240a01ed78 · outbound

This paper cites Finding minimum entropy codes.Neu- ral computation, 1(3):412–423, 1989.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Finding minimum entropy codes.Neu- ral computation, 1(3):412–423, 1989

Reference 5

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Observation b23ef661-4466-404a-bf0a-1fbd2e0d1975 · outbound

This paper cites Representation learning: A review and new perspectives.IEEE transactions on pattern anal- ysis and machine intelligence, 35(8):1798–1828, 2013.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Representation learning: A review and new perspectives.IEEE transactions on pattern anal- ysis and machine intelligence, 35(8):1798–1828, 2013

Reference 6

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Observation 1485082a-8119-4ff5-b8f1-d4485980ceaa · outbound

This paper cites Deep Generalized Canonical Correlation Analysis.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Deep Generalized Canonical Correlation Analysis

Reference 7

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Observation 95c270a0-b753-4cd7-bee9-7a374de251d5 · outbound

This paper cites Provably learning object-centric representations.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Provably learning object-centric representations

Reference 8

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Observation ba7dd974-96f5-4483-a252-fc39a4ea7b6c · outbound

This paper cites Weakly supervised causal representation learning.Advances in Neural In- formation Processing Systems, 35:38319–38331, 2022.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Weakly supervised causal representation learning.Advances in Neural In- formation Processing Systems, 35:38319–38331, 2022

Reference 9

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This paper cites Function classes for identifiable nonlinear independent component analysis.Ad- vances in Neural Information Processing Systems, 35:16946–16961, 2022.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Function classes for identifiable nonlinear independent component analysis.Ad- vances in Neural Information Processing Systems, 35:16946–16961, 2022

Reference 10

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Observation b0536ed3-6229-49e3-8268-3d53c1d8a9a0 · outbound

This paper cites Rate-optimal per- turbation bounds for singular subspaces with ap- plications to high-dimensional statistics.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Rate-optimal per- turbation bounds for singular subspaces with ap- plications to high-dimensional statistics

Reference 11

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Observation 26f3aab8-5509-4d1c-853f-018bb101a140 · outbound

This paper cites Blind signal separation: statistical principles.Proceedings of the IEEE, 86(10):2009– 2025, 1998.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Blind signal separation: statistical principles.Proceedings of the IEEE, 86(10):2009– 2025, 1998

Reference 12

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Observation 8006be47-18df-4b3f-8145-73c1946180b3 · outbound

This paper cites Unsupervised learning of visual features by contrasting cluster assignments.Advances in neural information processing systems, 33:9912– 9924, 2020.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Unsupervised learning of visual features by contrasting cluster assignments.Advances in neural information processing systems, 33:9912– 9924, 2020

Reference 13

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Observation 91deb2c0-cab2-4881-a1c2-6be73c471564 · outbound

This paper cites Independent component analysis, a new concept?Signal processing, 36(3):287–314, 1994.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Independent component analysis, a new concept?Signal processing, 36(3):287–314, 1994

Reference 14

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Observation feedd44f-6ea2-473e-aead-86cd8754bdbe · outbound

This paper cites Identifiability Results for Multimodal Contrastive Learning.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Identifiability Results for Multimodal Contrastive Learning

Reference 15

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Observation 2f67bfef-111f-4631-8350-6894be1c4575 · outbound

This paper cites Compressed sensing.IEEE Transactions on information theory, 52(4):1289– 1306, 2006.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Compressed sensing.IEEE Transactions on information theory, 52(4):1289– 1306, 2006

Reference 16

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Observation bf8232f7-bbb9-4c0e-bc7b-d2379f7f98b0 · outbound

This paper cites Polynomial expan- sions of bivariate distributions.The Annals of Mathematical Statistics, 35(3):1208–1215, 1964.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Polynomial expan- sions of bivariate distributions.The Annals of Mathematical Statistics, 35(3):1208–1215, 1964

Reference 17

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Observation ae085ac2-7a8d-4b2d-9c79-7d502805d617 · outbound

This paper cites Whitening for self- supervised representation learning.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Whitening for self- supervised representation learning

Reference 18

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Observation 567ae457-8a84-44e4-ac8f-77c1548b1c2a · outbound

This paper cites Statistical consistency of kernel canon- ical correlation analysis.Journal of Machine Learning Research, 8(2), 2007.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Statistical consistency of kernel canon- ical correlation analysis.Journal of Machine Learning Research, 8(2), 2007

Reference 19

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This paper cites Sparse cca: Adaptive estimation and computa- tional barriers.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Sparse cca: Adaptive estimation and computa- tional barriers

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This paper cites Independent mechanism analysis, a new concept?Advances in neural information process- ing systems, 34:28233–28248, 2021.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Independent mechanism analysis, a new concept?Advances in neural information process- ing systems, 34:28233–28248, 2021

Reference 21

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This paper cites Sparse canonical correlation analysis.Machine Learning, 83(3):331–353, 2011.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Sparse canonical correlation analysis.Machine Learning, 83(3):331–353, 2011

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Observation ed66266f-4032-4452-b964-2100d904fce8 · outbound

This paper cites beta- vae: Learning basic visual concepts with a con- strained variational framework.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors beta- vae: Learning basic visual concepts with a con- strained variational framework

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Observation 51933acb-8126-4e6f-858f-2e4f37a781c8 · outbound

This paper cites Relations between two sets of variates.Biometrika, 28(3/4):321–377, 1936.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Relations between two sets of variates.Biometrika, 28(3/4):321–377, 1936

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This paper cites Unsuper- vised feature extraction by time-contrastive learn- ing and nonlinear ica.Advances in neural infor- mation processing systems, 29, 2016.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Unsuper- vised feature extraction by time-contrastive learn- ing and nonlinear ica.Advances in neural infor- mation processing systems, 29, 2016

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This paper cites Nonlinear ica of temporally dependent stationary sources.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Nonlinear ica of temporally dependent stationary sources

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Observation 9c1cc6b5-a24b-4449-ab06-73f9c300b3cf · outbound

This paper cites Independent component analysis: algorithms and applications.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Independent component analysis: algorithms and applications

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This paper cites Nonlinear independent component analysis: Existence and uniqueness results.Neural networks, 12(3):429– 439, 1999.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Nonlinear independent component analysis: Existence and uniqueness results.Neural networks, 12(3):429– 439, 1999

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Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Nonlinear ica using auxiliary variables and generalized contrastive learning

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This paper cites Revisiting deep generalized canonical correlation analysis.IEEE Transactions on Signal Process- ing, 71:4392–4406, 2023.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Revisiting deep generalized canonical correlation analysis.IEEE Transactions on Signal Process- ing, 71:4392–4406, 2023

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Observation 6b55f668-5a3f-4400-9b09-86e7460f8d05 · outbound

This paper cites Variational au- toencoders and nonlinear ica: A unifying frame- work.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Variational au- toencoders and nonlinear ica: A unifying frame- work

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Observation 854859af-f96d-48d2-a778-c30504cd1b88 · outbound

This paper cites Ice-beem: Identifi- able conditional energy-based deep models based on nonlinear ica.Advances in Neural Information Processing Systems, 33:12768–12778, 2020.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Ice-beem: Identifi- able conditional energy-based deep models based on nonlinear ica.Advances in Neural Information Processing Systems, 33:12768–12778, 2020

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Observation 3336de24-b7a6-4c6b-8851-a358a7e00f42 · outbound

This paper cites Towards Nonlinear Disentanglement in Natural Data with Temporal Sparse Coding.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Towards Nonlinear Disentanglement in Natural Data with Temporal Sparse Coding

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Observation f520b63e-0774-4a26-bffa-695fa5bef2f9 · outbound

This paper cites Ad- ditive decoders for latent variables identifica- tion and cartesian-product extrapolation.Ad- vances in Neural Information Processing Systems, 36:25112–25150, 2023.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Ad- ditive decoders for latent variables identifica- tion and cartesian-product extrapolation.Ad- vances in Neural Information Processing Systems, 36:25112–25150, 2023

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This paper cites Disentan- glement via mechanism sparsity regularization: A new principle for nonlinear ica.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Disentan- glement via mechanism sparsity regularization: A new principle for nonlinear ica

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Observation 25644b08-8094-44b7-b011-3c2d62ebb6cd · outbound

This paper cites The structure of bivari- ate distributions.The Annals of Mathematical Statistics, 29(3):719–736, 1958.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors The structure of bivari- ate distributions.The Annals of Mathematical Statistics, 29(3):719–736, 1958

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Observation 95000aab-9adf-4859-b1a9-2346dfa73900 · outbound

This paper cites Citris: Causal identifiability from temporal inter- vened sequences.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Citris: Causal identifiability from temporal inter- vened sequences

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source=pdf_text observed=2026-08-04T11:30:51.575570Z digest=sha256:8a6cc2e6a0fc44d0889ef8f7bc1fb74e973cf2db23a4f8f51077485140774411

Observation 1f9da45c-3833-473a-a4c6-b3a8cb47dad4 · outbound

This paper cites Challenging com- mon assumptions in the unsupervised learning of disentangled representations.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Challenging com- mon assumptions in the unsupervised learning of disentangled representations

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source=pdf_text observed=2026-08-04T11:30:51.658010Z digest=sha256:5869ab54b9d99cc1af847c5a34ce39200d363fc21b14f5810e1ac3cc17df706e

Observation 3cd11766-4d78-406e-b366-50d378c4668d · outbound

This paper cites A sober look at the unsupervised learning of disentangled repre- sentations and their evaluation.Journal of Ma- chine Learning Research, 21(209):1–62, 2020.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors A sober look at the unsupervised learning of disentangled repre- sentations and their evaluation.Journal of Ma- chine Learning Research, 21(209):1–62, 2020

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Observation 59e0f453-14ab-453c-8e9b-330afd4a86f7 · outbound

This paper cites Weakly-supervised disentanglement without compromises.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Weakly-supervised disentanglement without compromises

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Observation feadd9b9-a9a9-45c7-b025-a5d6146ee9da · outbound

This paper cites Nonlinear multiview anal- ysis: Identifiability and neural network-assisted implementation.IEEE Transactions on Signal Processing, 68:2697–2712, 2020.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Nonlinear multiview anal- ysis: Identifiability and neural network-assisted implementation.IEEE Transactions on Signal Processing, 68:2697–2712, 2020

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Observation 15e08161-2e2d-4e0f-a05b-3f76894e203f · outbound

This paper cites Understanding Latent Correlation-Based Multiview Learning and Self-Supervision: An Identifiability Perspective.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Understanding Latent Correlation-Based Multiview Learning and Self-Supervision: An Identifiability Perspective

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source=pdf_text observed=2026-08-04T11:30:52.023154Z digest=sha256:bbbc4aa54df423bfd47c405bdab30732d274ee753188aa17ebb9eb9e67473070

Observation 0d179546-ce17-45d1-a8df-7435780cf28f · outbound

This paper cites Subspace perspec- tive on canonical correlation analysis: Dimension reduction and minimax rates.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Subspace perspec- tive on canonical correlation analysis: Dimension reduction and minimax rates

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source=pdf_text observed=2026-08-04T11:30:52.088800Z digest=sha256:9b33ca1d4f5e407cb50cd0c61622b75726453ba008012f47ab48cd3eff245717

Observation 52336c94-a375-4422-a0ba-97d381f1b969 · outbound

This paper cites Towards a unified framework of contrastive learning for disentangled representations.Ad- vances in Neural Information Processing Systems, 36:67459–67470, 2023.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Towards a unified framework of contrastive learning for disentangled representations.Ad- vances in Neural Information Processing Systems, 36:67459–67470, 2023

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Observation 96048976-934c-453f-852c-c2152d584810 · outbound

This paper cites Ueber die entwicklung einer function von beliebig vielen variablen nach laplaceschen functionen h¨ oherer ordnung.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Ueber die entwicklung einer function von beliebig vielen variablen nach laplaceschen functionen h¨ oherer ordnung

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Observation a190b4b9-0d86-4bde-9285-f92ff6bcf747 · outbound

This paper cites Nonparametric canonical correlation analysis.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Nonparametric canonical correlation analysis

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source=pdf_text observed=2026-08-04T11:30:52.329285Z digest=sha256:4357f3af00bfc4ce741cc50d491431660baf25ebededde3f095949011bd2d6ae

Observation e557382a-577a-4574-804c-139480e8d9e1 · outbound

This paper cites Inde- pendent component analysis with code informa- tion utilization in ds-cdma signal separation.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Inde- pendent component analysis with code informa- tion utilization in ds-cdma signal separation

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source=pdf_text observed=2026-08-04T11:30:52.386481Z digest=sha256:3a13f53512a4c69edaf18d325504fd2dc4a6d781f0794dacb78414399a83570d

Observation bb75c16a-e70b-41ef-ab1e-504475c368da · outbound

This paper cites Toward causal representation learning.Proceedings of the IEEE, 109(5):612–634, 2021.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Toward causal representation learning.Proceedings of the IEEE, 109(5):612–634, 2021

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Observation 460bcabe-be14-4c90-bc70-49272219dd78 · outbound

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Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Weakly super- vised disentangled generative causal representa- tion learning.Journal of Machine Learning Re- search, 23(241):1–55, 2022

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Observation 2776cb12-2704-4ca7-a128-9a07681f12d6 · outbound

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Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Weakly Supervised Disentanglement with Guarantees

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source=pdf_text observed=2026-08-04T11:30:52.657531Z digest=sha256:baa21af1f5ff45fd0c9a9168463023539d48f8d12a646aaf9e1f0715681a63c4

Observation f9f06484-0bfb-4748-aae8-d1518373eeaa · outbound

This paper cites The dynamics and regulators of cell fate decisions are revealed by pseudotemporal ordering of single cells.Nature biotechnology, 32(4):381–386, 2014.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors The dynamics and regulators of cell fate decisions are revealed by pseudotemporal ordering of single cells.Nature biotechnology, 32(4):381–386, 2014

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Observation 275378b4-2d79-455e-b4db-c207a9ef78e9 · outbound

This paper cites Self- supervised learning with data augmentations provably isolates content from style.Advances in neural information processing systems, 34:16451– 16467, 2021.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Self- supervised learning with data augmentations provably isolates content from style.Advances in neural information processing systems, 34:16451– 16467, 2021

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Observation 0a6ce4df-1c8a-490d-b6a4-cc62bb85839e · outbound

This paper cites Barlow twins: Self- supervised learning via redundancy reduction.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Barlow twins: Self- supervised learning via redundancy reduction

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source=pdf_text observed=2026-08-04T11:30:52.920801Z digest=sha256:1adb126fbc2f54d114b0b0704213f1afdc0974e731c3f4c2df15b674ca88924a

Observation 221bb7e9-518f-4cc8-b850-287ee8953fe7 · outbound

This paper cites Identifiability guar- antees for causal disentanglement from soft inter- ventions.Advances in Neural Information Pro- cessing Systems, 36:50254–50292, 2023.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Identifiability guar- antees for causal disentanglement from soft inter- ventions.Advances in Neural Information Pro- cessing Systems, 36:50254–50292, 2023

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source=pdf_text observed=2026-08-04T11:30:53.045033Z digest=sha256:b1d97e8b1ecd07a1a15b9905a187ce89e646a2b68677d5caebc99de587a0d1c5

Observation 51885cfe-1b36-4855-8592-4237938fdf57 · outbound

This paper cites On the identifiability of nonlinear ica: Sparsity and beyond.Advances in neural information process- ing systems, 35:16411–16422, 2022.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors On the identifiability of nonlinear ica: Sparsity and beyond.Advances in neural information process- ing systems, 35:16411–16422, 2022

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Observation 163211fb-f868-449b-9fc3-625e09b80229 · outbound

This paper cites Contrastive learning inverts the data gener- ating process.

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors Contrastive learning inverts the data gener- ating process

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