Paper Citation Record · LEDGER

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2511.01605.

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pith.paper-citation-record.v1
2511.01605 v2

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T00:25:16.493569Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation b01a51f8-a2c4-4139-9d24-d50d8d96b122 · outbound

This paper cites Toeplitz covariance estimation via over- parametrized gradient descent,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Toeplitz covariance estimation via over- parametrized gradient descent,

Reference 1

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Observation aa16d64f-1a24-4324-8262-6c85768b3cf9 · outbound

This paper cites Kay,Fundamentals of Statistical Signal Processing: Detection theory.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Kay,Fundamentals of Statistical Signal Processing: Detection theory

Reference 2

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Observation 43fbc402-529e-4e0d-a402-fddc176282f0 · outbound

This paper cites Structured robust covariance estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Structured robust covariance estimation,

Reference 3

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Observation 06d53fe3-7b6b-49f9-8cf7-5096f3b9c1c0 · outbound

This paper cites A geometric approach to covariance matrix estimation and its applications to radar problems,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances A geometric approach to covariance matrix estimation and its applications to radar problems,

Reference 4

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Observation 38a78051-43b9-4973-a203-0a42c6bbdb56 · outbound

This paper cites Application of Toeplitz covariance estimation to adaptive beamforming and detection,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Application of Toeplitz covariance estimation to adaptive beamforming and detection,

Reference 5

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Observation fd536ba3-b821-4635-b3f1-9ee87d1bcab2 · outbound

This paper cites Detection algorithms in hyperspectral imaging systems: An overview of practical algorithms,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Detection algorithms in hyperspectral imaging systems: An overview of practical algorithms,

Reference 6

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Observation b3950523-5974-4097-af3d-d1a9d8548010 · outbound

This paper cites Computationally efficient maximum likeli- hood estimation of structured covariance matrices,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Computationally efficient maximum likeli- hood estimation of structured covariance matrices,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.372943Z

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Observation 7aa6acfc-867c-4152-9e21-42cae6d3e28f · outbound

This paper cites On the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covariance matrices,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances On the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covariance matrices,

Reference 8

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Observation 64d4e43b-92e8-42a2-9329-449a29a8d959 · outbound

This paper cites Covariance, subspace, and intrinsic Cram ´er-Rao bounds,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Covariance, subspace, and intrinsic Cram ´er-Rao bounds,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.381068Z

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Observation 5c5b0848-3856-4669-9d35-ae32210e1cd6 · outbound

This paper cites Sample efficient Toeplitz covariance estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Sample efficient Toeplitz covariance estimation,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.385063Z

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Observation f0e78cde-4799-479c-bd02-debfdbd3727f · outbound

This paper cites The role of likelihood and entropy in incomplete-data problems: Applications to estimating point-process in- tensities and Toeplitz constrained covariances,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances The role of likelihood and entropy in incomplete-data problems: Applications to estimating point-process in- tensities and Toeplitz constrained covariances,

Reference 11

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Observation 18b894dd-2906-43df-a58a-ec6cc357ec41 · outbound

This paper cites On the asymptotic equivalence of circulant and Toeplitz matrices,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances On the asymptotic equivalence of circulant and Toeplitz matrices,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.392781Z

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Observation 8fcfa70a-bf5a-4034-9c79-029cd607ce9f · outbound

This paper cites Optimal rates of convergence for covariance matrix estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Optimal rates of convergence for covariance matrix estimation,

Reference 13

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Observation c764831f-2ce7-4fc1-b3dd-1aef0b484389 · outbound

This paper cites Maximum-likelihood estimation of com- plex sinusoids and Toeplitz covariances,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Maximum-likelihood estimation of com- plex sinusoids and Toeplitz covariances,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.400946Z

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Observation 9ead2100-da06-41fa-acf2-6cbf284292fc · outbound

This paper cites MELT—Maximum-Likelihood Estimation of Low-Rank Toeplitz Covariance Matrix,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances MELT—Maximum-Likelihood Estimation of Low-Rank Toeplitz Covariance Matrix,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.405064Z

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Observation e6e8a146-4b16-4e6d-b7eb-6a2dedf761a7 · outbound

This paper cites Toeplitz structured covari- ance matrix estimation for radar applications,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Toeplitz structured covari- ance matrix estimation for radar applications,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.408964Z

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Observation 8dc84e03-6948-49f3-b873-ec166229129d · outbound

This paper cites Advanced methods for MLE of Toeplitz structured covariance matrices with applications to radar problems,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Advanced methods for MLE of Toeplitz structured covariance matrices with applications to radar problems,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.412821Z

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Observation 52cb86aa-d2fe-499a-a917-6d529848a069 · outbound

This paper cites Gohberg- Semencul Toeplitz covariance estimation via autoregressive parameters,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Gohberg- Semencul Toeplitz covariance estimation via autoregressive parameters,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.416720Z

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Observation cc83e4bf-b4fd-4c6d-89ce-94b26d357832 · outbound

This paper cites On the connection between the extremes of harmonic functions and their coefficients and on Picard–Landau’s theorem,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances On the connection between the extremes of harmonic functions and their coefficients and on Picard–Landau’s theorem,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.421088Z

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Observation fc89aba6-e11d-4033-9d7b-2c966fad1461 · outbound

This paper cites Grenander and G.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Grenander and G

Reference 20

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Observation f0b2b3b9-f5d0-4fbe-b308-e7d5b74f9fa0 · outbound

This paper cites Stoica and R.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Stoica and R

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.429260Z

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Observation ef055e07-6f29-442b-8b78-0d101b1f3001 · outbound

This paper cites High-resolution frequency-wavenumber spectrum analysis,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances High-resolution frequency-wavenumber spectrum analysis,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.433539Z

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Observation ddfae1d5-2a8d-4b40-a71a-4277d4bc6940 · outbound

This paper cites Multiple emitter location and signal parameter estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Multiple emitter location and signal parameter estimation,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.437378Z

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Observation 21d3f48e-8fd3-4bba-b355-fa7ef0c55212 · outbound

This paper cites ESPRIT—estimation of signal parameters via rotational invariance techniques,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances ESPRIT—estimation of signal parameters via rotational invariance techniques,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.441249Z

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Observation d0dfa9ae-1411-44d7-af93-b84f63ef1cff · outbound

This paper cites SPICE: A sparse covariance-based estimation method for array processing,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances SPICE: A sparse covariance-based estimation method for array processing,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.445431Z

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Observation 9672d06e-5443-4e0d-bc79-fce615270433 · outbound

This paper cites Weighted SPICE: A unifying approach for hyperparameter-free sparse estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Weighted SPICE: A unifying approach for hyperparameter-free sparse estimation,

Reference 26

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Observation 2a6a3ed5-6b32-4072-b081-9f95dfb9b416 · outbound

This paper cites Gradient descent provably optimizes over-parameterized neural networks,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Gradient descent provably optimizes over-parameterized neural networks,

Reference 27

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Observation 1fef9d7d-23c1-4d62-828e-ef244653ccbe · outbound

This paper cites Loss landscapes and optimization in over-parameterized non-linear systems and neural networks,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Loss landscapes and optimization in over-parameterized non-linear systems and neural networks,

Reference 28

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Observation 02b44af6-f077-425a-9eb6-f32c3a45d8b9 · outbound

This paper cites Overparameterized nonlinear learn- ing: Gradient descent takes the shortest path?.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Overparameterized nonlinear learn- ing: Gradient descent takes the shortest path?

Reference 29

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Observation 39c2e58c-ee65-4b5d-82ab-0899222b0a13 · outbound

This paper cites A Local Polyak-Lojasiewicz and Descent Lemma of Gradient Descent For Overparametrized Linear Models.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances A Local Polyak-Lojasiewicz and Descent Lemma of Gradient Descent For Overparametrized Linear Models

Reference 30

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Observation 2eabfebd-5973-445d-86ee-edd73777cffb · outbound

This paper cites When Are Nonconvex Problems Not Scary?.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances When Are Nonconvex Problems Not Scary?

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T00:25:16.469676Z

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Observation 8571f605-3119-4a23-a17c-43c7d8698c18 · outbound

This paper cites Boyd and L.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Boyd and L

Reference 32

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Observation 91735744-14a5-4606-a5b8-9735c6a03e21 · outbound

This paper cites Block Acceleration Without Momentum: On Optimal Stepsizes of Block Gradient Descent for Least-Squares.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Block Acceleration Without Momentum: On Optimal Stepsizes of Block Gradient Descent for Least-Squares

Reference 33

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Observation bad05ce7-3203-4004-8f43-9651b03359af · outbound

This paper cites On the convergence of block coordinate descent type methods,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances On the convergence of block coordinate descent type methods,

Reference 34

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Observation 41ec3bc5-8163-49af-9396-012b25bc57e3 · outbound

This paper cites Projected gradient descent for Toeplitz covariance estimation,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Projected gradient descent for Toeplitz covariance estimation,

Reference 35

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Observation 271ad4db-81a0-4cec-adb1-4fe299461697 · outbound

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The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Unresolved cited work

Reference 36

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Observation c902fcd3-b587-43cd-b7e1-33ec34d81ebe · outbound

This paper cites Comparing KL divergence and MSE for covariance estimation in target detection,.

The Optimization Landscape of Carath\'eodory Decomposition of Toeplitz Covariances Comparing KL divergence and MSE for covariance estimation in target detection,

Reference 37

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