Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-31T23:51:54.640467Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.23914.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-31T23:51:54.640467Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b0b8af9e-aed3-465a-a426-3b0a949ef685 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ High-dimensional analysis of semidefinite relaxations for sparse principal components
Reference 1
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Observation b674c03f-c34b-441f-97c8-9432d1a5a338 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
Reference 2
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Observation a2eee7ec-be32-4ef0-9fcc-83847335aa14 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Online stochastic gradient descent on non-convex losses from high-dimensional inference
Reference 3
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Observation afa976dd-fdf6-421a-835a-0729fa28c965 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ High-dimensional limit theorems for sgd: Effective dynamics and critical scaling
Reference 4
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Observation dc8fc36d-09db-43e5-8cc9-c80063ed85bb · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Reference 5
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Observation 19e5fe4c-7e3e-4a46-93a9-8d37b1505f9a · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The singular values and vectors of low rank perturbations of large rectangular random matrices
Reference 6
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Observation 0187499e-55cf-4161-88cc-3875f7baa350 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Probability and measure
Reference 7
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Observation 10551537-7166-41a3-b906-5e959990db1d · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Online principal components analysis
Reference 8
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Observation 04d0542a-86ab-4e68-bbed-9a9b68f4f004 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Online principal component analysis in high dimension: Which algorithm to choose? International Statistical Review, 86 0 (1): 0 29--50, 2018
Reference 9
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Observation 2b2747ce-889f-43e5-881c-dd38f225b33f · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Information-theoretically optimal sparse pca
Reference 10
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Observation 580c2290-a8c5-4452-af62-c44c60edfc2c · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Sparse pca via covariance thresholding
Reference 11
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Observation 92f9873b-4bba-4276-b33d-806e51aebacf · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing
Reference 12
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Observation a56a40bd-52d5-4f0b-a5ed-608935469798 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Streaming pca: Matching matrix bernstein and near-optimal finite sample guarantees for oja’s algorithm
Reference 15
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Observation 50ff4e34-6843-4a40-8bd0-b646fda21913 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ On the distribution of the largest eigenvalue in principal components analysis
Reference 16
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Observation e12396a2-cbb3-431a-ab87-8848ff47efed · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ On consistency and sparsity for principal components analysis in high dimensions
Reference 17
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Observation 61120724-ccbe-4e9d-9185-39c793d41048 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Pca in high dimensions: An orientation
Reference 18
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Observation 00393bea-41b1-42ef-b08d-902bd4642186 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Method of stochastic approximation in the determination of the largest eigenvalue of the mathematical expectation of random matrices
Reference 19
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Observation 510d0a00-6469-4cfe-8b82-b77c7ed72008 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Streaming pca for markovian data
Reference 20
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Observation 8b7c908d-7b00-4207-a1b7-b77240ac51df · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Diffusion approximations for online principal component estimation and global convergence
Reference 22
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Observation 0975ad58-5c91-4725-9a62-641113b3efd8 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Bootstrapping the error of oja's algorithm
Reference 24
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Observation 2b339a44-7ff0-42c8-929d-0b3c8f3ca793 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Multivariate analysis
Reference 25
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Observation b2f47255-f910-4a63-afef-44e18708a6ad · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Estimation of low-rank matrices via approximate message passing
Reference 26
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Observation d33440f3-9f07-49e0-80c8-e25158f58e27 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Online pca with optimal regret
Reference 27
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Observation e6a7a814-91f2-47da-be8d-cbda26345037 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Simplified neuron model as a principal component analyzer
Reference 28
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Observation b8660123-eadd-479a-bf8b-915fa59ff6e7 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix
Reference 29
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Observation 0e425cd0-24af-4c10-978d-e53b4aa01fab · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Optimality and sub-optimality of pca i: Spiked random matrix models
Reference 30
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Observation d7dede3e-2324-4f64-8568-6cd96514e842 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ An introduction to ordinary differential equations
Reference 32
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Observation ce0eff6a-2e72-4052-8044-44838f8d705f · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Online learning for sparse pca in high dimensions: Exact dynamics and phase transitions
Reference 33
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Observation fa47e0f0-9f51-4bc4-b353-828073d8006b · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Randomized online pca algorithms with regret bounds that are logarithmic in the dimension
Reference 35
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Observation 2297bb00-de37-43ca-9373-7d6ce8ac8123 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The Annals of statistics , volume=
Reference 36
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Observation 94279ba8-4a46-4081-9f0a-0fbaa04c3a9d · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The Annals of Probability , number =
Reference 37
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Observation 7e52347e-0882-405c-9701-ac1947f18e11 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Advances in Mathematics , volume=
Reference 38
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Observation ac98b505-7ac9-4dc6-acc3-4ad2476917dc · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Proceedings of the IEEE , volume=
Reference 39
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Observation 31b53344-d986-45b4-8214-292d6e72cfbd · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of mathematical biology , volume=
Reference 40
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Observation 5ab414f0-ed0e-49c2-9849-9e0bbf137a4b · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of mathematical analysis and applications , volume=
Reference 41
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Observation 4d2a13f2-7e13-4803-a97d-5474331f634e · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2014 , publisher=
Reference 42
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Observation 6e4e65e3-f260-415e-8a14-160fbf310175 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Lecture notes, University of Chicago Department of Statistics , year=
Reference 43
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Observation 1730ba1e-a226-4279-9f58-1370a558ceb9 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2004 , publisher=
Reference 44
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Observation 409285fa-957d-45ea-8f54-97cb8ad58e29 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2024 , publisher=
Reference 45
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Observation d244d305-f579-48e1-bfbc-34c4311c876e · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of Machine Learning Research , volume=
Reference 46
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Observation d8eda171-ee66-48f8-aaa3-9ac08376c727 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of Multivariate Analysis , volume=
Reference 47
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Observation 72c3a1e8-5ac3-492c-97bf-fb6066a717ff · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The Annals of Statistics , volume=
Reference 48
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Observation ce28dd9e-af50-4499-bf5f-2e1930fa1059 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2016 IEEE Information Theory Workshop (ITW) , pages=
Reference 49
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Observation 39e877fd-f636-4ef2-831d-f7962f7d827b · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA
Reference 50
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Observation 6ab8a435-b0af-4389-80d1-7faa3391e076 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of the American Statistical Association , volume=
Reference 51
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Observation 77f64757-1771-41d5-8f60-f85714771136 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of Machine Learning Research , volume=
Reference 52
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Observation 7e77047c-e6af-45a9-94c3-e4ffffbe1215 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2014 IEEE International Symposium on Information Theory , pages=
Reference 53
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Observation a47483c0-0194-4f63-a97c-c554e01b5477 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2008 IEEE international symposium on information theory , pages=
Reference 54
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Observation f110fdf0-9565-4442-b5cc-53950cb7e6c6 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ The Annals of Statistics , number =
Reference 55
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Observation 6e64083f-9eed-4eeb-a518-94a9e972334e · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Proceedings of the National Academy of Sciences , volume =
Reference 56
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Observation 01bb1bbf-ccf5-4bb9-9790-a50f427d9de0 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Automatation and remote control , volume=
Reference 57
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Observation 9a1e3fcc-e7c5-45c2-a740-55f725ee00f1 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of Machine Learning Research , volume=
Reference 58
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Observation c6fba39d-fbf9-429a-ae2e-3949bc68fe64 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Proceedings of the twenty-sixth annual ACM-SIAM symposium on Discrete algorithms , pages=
Reference 59
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Observation 3477c949-8f40-4d61-9efe-0e668d95d3c7 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Conference on learning theory , pages=
Reference 60
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Observation f1dadb20-de2a-485e-af77-160e827826a1 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Journal of Machine Learning Research , volume=
Reference 61
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Observation 0d45758d-e0a7-4f3f-997a-a567ef4d6efd · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ AdaOja: Adaptive Learning Rates for Streaming PCA
Reference 62
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Observation 6d8f525b-8b96-4f4a-8da3-70c6d7cea9c3 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Advances in neural information processing systems , volume=
Reference 63
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Observation c74c17cf-9f27-49e5-8c45-d5b94148d773 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ International Statistical Review , volume=
Reference 64
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Observation fbef1746-b2f0-4516-9e9f-3572de9480a3 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Advances in Neural Information Processing Systems , volume=
Reference 65
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Observation e3a1e577-2449-4e1d-93f7-910e36bc089a · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Beyond Sin-Squared Error: Linear-Time Entrywise Uncertainty Quantification for Streaming PCA
Reference 66
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Observation 6a0c733d-7a17-44d6-b959-e3e4fc51c667 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ arXiv preprint arXiv:2511.18273 , year=
Reference 67
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Observation a4c59784-d427-48ac-a53a-518d81d41509 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Advances in neural information processing systems , volume=
Reference 68
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Observation f3add713-6266-49cb-9df5-1b04bc43ead6 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ arXiv preprint arXiv:2512.13634 , year=
Reference 69
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Observation 5be2af58-d68f-4255-ac08-a34675d5c7ea · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Advances in Neural Information Processing Systems , volume=
Reference 70
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Observation ec5ebae0-b344-4a01-bd8a-5a61afb9a789 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ 2017 , publisher=
Reference 71
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Observation f11b76a6-44cc-4520-a55f-a67a61d53726 · outbound
The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences , volume=
Reference 72
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No inbound Pith citation observations are available.