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Paper Citation Record · LEDGER

Provable Affine Identifiability of Nonlinear CCA under Latent Distributional Priors

As of 21 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2510.04758.

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

pith.paper-citation-record.v1
2510.04758 v3

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measured 56 of 56 reference resolution

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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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Observation 49c82719-e1d6-49df-a144-bcc44d593330 · outbound

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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

Reference 20

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

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Observation 575ce963-1f41-4f9d-95bb-202bd1f06b35 · outbound

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

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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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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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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=sha256:765852d157c0901958f9e1364b22bc1a8b1a5e7dcc8d50f71ee096741db75049

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

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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

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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=sha256:115d09b11fb0a4828f3fa6f0391c5bfedafcfa8c81e4872fa780d3c4daf6db0a

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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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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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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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=sha256:8739d910bbec96544abf29d151a38600418111bcb2a0f4f382f70a46d7576b51

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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