Paper Citation Record · LEDGER

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling

As of 21 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2508.10782.

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

pith.paper-citation-record.v1
2508.10782 v1

Coverage vector

measured 57 of 57 reference resolution

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 0df138c0-32b7-456d-8286-1209f16e495b · outbound

This paper cites Message-passing algorithms for compressed sensing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Message-passing algorithms for compressed sensing,

Reference 1

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Observation d1eed733-15a8-4a15-93fa-194e5dc7c84b · outbound

This paper cites The dynamics of message passing on dense graphs, with applications to compressed sensing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The dynamics of message passing on dense graphs, with applications to compressed sensing,

Reference 2

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Observation 2bf92d16-607d-4308-8730-2c655c416754 · outbound

This paper cites Generalized approximate message passing for estimation with random linear mixing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Generalized approximate message passing for estimation with random linear mixing,

Reference 3

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Observation 4434b8f9-fbe7-4a7a-afbf-beb0f5443c2c · outbound

This paper cites The LASSO risk for gaussian matrices,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The LASSO risk for gaussian matrices,

Reference 4

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Observation f77dc975-72bb-4ac3-8326-aa3745f7fe6b · outbound

This paper cites State evolution for general approximate message passing algorithms, with applications to spatial coupling,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling State evolution for general approximate message passing algorithms, with applications to spatial coupling,

Reference 5

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Observation 47409dde-6c0d-4b57-83a3-c142537c2633 · outbound

This paper cites Vector approximate message passing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Vector approximate message passing,

Reference 6

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Observation 9ed9cc47-a73e-4a32-a894-288b97c8140f · outbound

This paper cites Approximate message passing with rigorous guarantees for pooled data and quantitative group testing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Approximate message passing with rigorous guarantees for pooled data and quantitative group testing,

Reference 7

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Observation db77d8f1-0be4-477b-8f8b-c6b72cf6a704 · outbound

This paper cites Capacity-achieving sparse superposition codes via ap- proximate message passing decoding,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Capacity-achieving sparse superposition codes via ap- proximate message passing decoding,

Reference 8

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Observation d079ed8a-df87-4e63-9936-7d64cc5aabf1 · outbound

This paper cites Iterative reconstruction of rank-one matrices in noise,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Iterative reconstruction of rank-one matrices in noise,

Reference 9

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Observation 6aeba0d4-8dd4-4e03-9345-8e993f17ec72 · outbound

This paper cites Bilinear generalized approximate message passing—part II: Applications,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Bilinear generalized approximate message passing—part II: Applications,

Reference 10

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Observation a31623c0-f84f-4f61-a06b-9a9948ee3477 · outbound

This paper cites Information-theoretically optimal sparse PCA,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Information-theoretically optimal sparse PCA,

Reference 11

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Observation 78e94eb0-1112-461c-abdf-f931e8c5d551 · outbound

This paper cites Constrained low-rank matrix estimation: Phase transitions, approximate message passing and applications,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Constrained low-rank matrix estimation: Phase transitions, approximate message passing and applications,

Reference 12

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Observation da216e0f-48d9-47eb-85a7-ddd9751aa29e · outbound

This paper cites Estimation of low-rank matrices via approximate message passing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Estimation of low-rank matrices via approximate message passing,

Reference 13

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Observation 67e2b3bd-7483-484c-a4c6-8770253e3e37 · outbound

This paper cites Fundamental limits for rank-one matrix estimation with groupwise heteroskedasticity,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Fundamental limits for rank-one matrix estimation with groupwise heteroskedasticity,

Reference 14

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Observation 1685d97e-f9fe-4a12-b4b0-f42ca18ef7eb · outbound

This paper cites Fundamental limits in structured principal component analysis and how to reach them,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Fundamental limits in structured principal component analysis and how to reach them,

Reference 15

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Observation 30c33078-eeef-4906-bb60-c88444228b11 · outbound

This paper cites Approximate Message Passing for the Matrix Tensor Product Model.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Approximate Message Passing for the Matrix Tensor Product Model

Reference 16

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Observation c95691dc-2100-4b50-ac20-11a84af5e7aa · outbound

This paper cites Linear operator approximate message passing: Power method with partial and stochastic updates,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Linear operator approximate message passing: Power method with partial and stochastic updates,

Reference 17

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Observation 48060da8-79da-4b89-9584-60e5baeb38bc · outbound

This paper cites Linear operator approximate message passing (OpAMP),.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Linear operator approximate message passing (OpAMP),

Reference 18

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Observation ec3b7e06-003b-424d-a3b7-35dc6fdeba80 · outbound

This paper cites Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization,

Reference 19

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Observation 375a2718-7e64-4fa8-96f4-e1248ced5b1d · outbound

This paper cites Posterior Sampling in High Dimension via Diffusion Processes.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Posterior Sampling in High Dimension via Diffusion Processes

Reference 20

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Observation c381b8ea-4887-47c4-9fb6-69c6c8be36e5 · outbound

This paper cites Sampling from Spherical Spin Glasses in Total Variation via Algorithmic Stochastic Localization.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Sampling from Spherical Spin Glasses in Total Variation via Algorithmic Stochastic Localization

Reference 21

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Observation cfcec855-5f05-489c-a60b-7bb2e56382d2 · outbound

This paper cites Sampling from the Random Linear Model via Stochastic Localization Up to the AMP Threshold.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Sampling from the Random Linear Model via Stochastic Localization Up to the AMP Threshold

Reference 22

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Observation 3e1b2c90-5914-4bea-94a3-d3c58652aa34 · outbound

This paper cites The estimation error of general first order methods,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The estimation error of general first order methods,

Reference 23

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Observation 47191641-1cd7-436d-ac7e-388244836fd8 · outbound

This paper cites The high-dimensional asymptotics of first order methods with random data.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The high-dimensional asymptotics of first order methods with random data

Reference 24

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Observation 965f52af-3c8b-4969-8838-31023a0bcec2 · outbound

This paper cites Rigorous dynamical mean-field theory for stochastic gradient descent methods,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Rigorous dynamical mean-field theory for stochastic gradient descent methods,

Reference 25

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Observation 697360a4-2b5a-4a1a-95fd-d8c457fa4753 · outbound

This paper cites Statistically optimal firstorder algorithms: a proof via orthogonalization,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Statistically optimal firstorder algorithms: a proof via orthogonalization,

Reference 26

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Observation fc1ef19c-6649-4461-b19b-8e48dd98382c · outbound

This paper cites Dynamical mean-field analysis of adaptive langevin diffusions: Propagation-of-chaos and convergence of the linear response,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Dynamical mean-field analysis of adaptive langevin diffusions: Propagation-of-chaos and convergence of the linear response,

Reference 27

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Observation ac200e77-e578-4acb-9b11-99838c7ec9c5 · outbound

This paper cites State evolution for approximate message passing with non-separable functions,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling State evolution for approximate message passing with non-separable functions,

Reference 28

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Observation 6f815406-ea11-406b-b29d-831881c48ca4 · outbound

This paper cites Graph-based approximate message passing iterations,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Graph-based approximate message passing iterations,

Reference 29

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Observation b4567fdd-7c8f-4d89-84ef-da37b6080d19 · outbound

This paper cites Finite sample analysis of approximate message passing algorithms,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Finite sample analysis of approximate message passing algorithms,

Reference 30

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Observation 18863b5b-d87d-47dc-9e60-1a48b803a5d7 · outbound

This paper cites A non-asymptotic analysis of generalized approximate message passing algorithms with right rotationally invariant designs,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling A non-asymptotic analysis of generalized approximate message passing algorithms with right rotationally invariant designs,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.313370Z

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Observation 1bbdf323-b6ae-438b-b451-5df5ab14d80d · outbound

This paper cites Approximate message passing from random initialization with applications to Z2 synchronization,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Approximate message passing from random initialization with applications to Z2 synchronization,

Reference 32

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Observation 7411195a-352e-48f0-ad13-705682463499 · outbound

This paper cites A Non-Asymptotic Framework for Approximate Message Passing in Spiked Models.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling A Non-Asymptotic Framework for Approximate Message Passing in Spiked Models

Reference 33

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This paper cites Entrywise dynamics and universality of general first order methods.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Entrywise dynamics and universality of general first order methods

Reference 34

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This paper cites A theory of solving TAP equations for Ising models with general invariant random matrices,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling A theory of solving TAP equations for Ising models with general invariant random matrices,

Reference 35

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Observation a66f9e81-1b33-45c1-b935-4da98c2a6159 · outbound

This paper cites Orthogonal AMP,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Orthogonal AMP,

Reference 36

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Observation c40181ed-64ea-4dd1-ae5d-e275a73b42dc · outbound

This paper cites Approximate message passing algorithms for rotationally invariant matrices,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Approximate message passing algorithms for rotationally invariant matrices,

Reference 37

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Observation d6d6115b-f040-48b9-abf2-c90835dc228f · outbound

This paper cites Universality of approximate message passing with semirandom matrices,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Universality of approximate message passing with semirandom matrices,

Reference 38

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Observation 0afef3fb-106c-46c1-9ad4-0427a026136d · outbound

This paper cites Approximate Message Passing for orthogonally invariant ensembles: Multivariate non-linearities and spectral initialization.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Approximate Message Passing for orthogonally invariant ensembles: Multivariate non-linearities and spectral initialization

Reference 39

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Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Unresolved cited work

Reference 40

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Observation b00b9507-abf9-4eac-9fa9-ced00f604a92 · outbound

This paper cites Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.245901Z

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Observation de6023df-875a-4e98-b4ba-63bb04b982e8 · outbound

This paper cites Asymptotic mutual information for the balanced binary stochastic block model,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Asymptotic mutual information for the balanced binary stochastic block model,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.236082Z

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Observation 7a913f4d-3116-4c91-ad11-5136d3359c16 · outbound

This paper cites The replica-symmetric prediction for random linear estimation with Gaussian matrices is exact,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The replica-symmetric prediction for random linear estimation with Gaussian matrices is exact,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.225714Z

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Observation 401ff5a2-07d1-42f7-a838-68253c9c69a0 · outbound

This paper cites Optimal errors and phase transitions in high-dimensional generalized linear models,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Optimal errors and phase transitions in high-dimensional generalized linear models,

Reference 44

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Observation 29b567a6-acb2-420a-8791-01d1ba939593 · outbound

This paper cites Information-theoretic limits for the matrix tensor product,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Information-theoretic limits for the matrix tensor product,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.205819Z

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Observation cd3bc97a-529c-4ba5-a2d6-5668240c9602 · outbound

This paper cites Householder dice: A matrix-free algorithm for simulating dynamics on Gaussian and random orthogonal ensembles,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Householder dice: A matrix-free algorithm for simulating dynamics on Gaussian and random orthogonal ensembles,

Reference 46

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Observation d6259a13-3df2-46e3-93df-84897b6e76ab · outbound

This paper cites Local convexity of the tap free energy and amp convergence for Z2-synchronization,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Local convexity of the tap free energy and amp convergence for Z2-synchronization,

Reference 47

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Observation 450cd27f-6d3f-4162-8700-abad693dcbb3 · outbound

This paper cites The lasso with general gaussian designs with applications to hypothesis testing,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The lasso with general gaussian designs with applications to hypothesis testing,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.174761Z

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Observation cc632048-a728-495b-bba9-ef775a8c7b38 · outbound

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Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Unresolved cited work

Reference 49

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Observation 961c59b1-7c7a-4b01-9b65-ddbf7b890d2a · outbound

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Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Villani, Optimal transport, old and new

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.152617Z

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Observation 6845888f-1ce1-4861-ad4b-8519c68494bd · outbound

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Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Unresolved cited work

Reference 51

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Observation c782192b-af92-4651-b351-9673ed9634ed · outbound

This paper cites an unresolved cited work.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Unresolved cited work

Reference 52

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Observation 63e8013d-3a8e-41e6-abf9-6cadd1c853fa · outbound

This paper cites Local operator theory, random matrices and Banach spaces,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Local operator theory, random matrices and Banach spaces,

Reference 53

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Observation 5b404c09-c9d8-44a6-a6cd-5921d565e02b · outbound

This paper cites The Fr´ echet distance between multivariate normal distributions,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling The Fr´ echet distance between multivariate normal distributions,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.111089Z

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Observation 959e8457-caec-4cbf-b90b-a3e2665ed37a · outbound

This paper cites Boucheron, G.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Boucheron, G

Reference 55

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This paper cites Vershynin, High-Dimensional Probability.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling Vershynin, High-Dimensional Probability

Reference 56

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Observation 050a911c-5ba0-4812-9f16-71cdbf92c4bb · outbound

This paper cites On Parlett’s matrix norm inequality for the Cholesky decomposi- tion,.

Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling On Parlett’s matrix norm inequality for the Cholesky decomposi- tion,

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:29.083876Z

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Pith citing papers

Observation 9d08ebbc-1c09-475a-a63a-a497e8a17de9 · inbound

Scaling Laws and Spectra of Shallow Neural Networks in the Feature Learning Regime cites this paper.

Scaling Laws and Spectra of Shallow Neural Networks in the Feature Learning Regime Dimension-Free Bounds for Generalized First-Order Methods via Gaussian Coupling

Reference 58

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