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Paper Citation Record · LEDGER

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach

As of 21 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2509.22879.

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

pith.paper-citation-record.v1
2509.22879 v2

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:55:05.340175Z

measured 62 of 62 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c69d5c5-d37e-49f0-a960-ece20f258422 · outbound

This paper cites A new look at the statistical model identification.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A new look at the statistical model identification

Reference 1

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Observation d1f601fb-230b-4bb9-bcbe-e7d4274295cb · outbound

This paper cites Algebraic identifiability of gaussian mixtures.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Algebraic identifiability of gaussian mixtures

Reference 2

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Observation 6cbafbf4-9a45-458a-9bdc-635d69f89ada · outbound

This paper cites The MOSEK interior point optimizer for linear programming: an implementation of the homogeneous algorithm.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach The MOSEK interior point optimizer for linear programming: an implementation of the homogeneous algorithm

Reference 3

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Observation 0e27c705-15e0-4cc0-8312-6586d0324a08 · outbound

This paper cites Antoniak.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Antoniak

Reference 4

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Observation 9c40ed75-b228-4d7c-a032-5fab3acafdd2 · outbound

This paper cites Polynomial Time and Private Learning of Unbounded Gaussian Mixture Models.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Polynomial Time and Private Learning of Unbounded Gaussian Mixture Models

Reference 5

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Observation 430245ee-ee65-47a3-ae8f-c07760ca1af9 · outbound

This paper cites k-means++: the advantages of careful seeding.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach k-means++: the advantages of careful seeding

Reference 6

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Observation 181fdda6-d95d-49aa-aa15-a4b593d614d3 · outbound

This paper cites Multimodal word distributions.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Multimodal word distributions

Reference 7

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Observation c526aa20-6d0d-4958-9878-26411f523da3 · outbound

This paper cites Kane, Pravesh K.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Kane, Pravesh K

Reference 8

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 9

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Observation 7385038a-98d7-40fa-9b3c-f484118558d3 · outbound

This paper cites Aggregating continuous word embeddings for information retrieval.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Aggregating continuous word embeddings for information retrieval

Reference 10

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Observation c5408f2f-cd49-4540-8b84-7907e0d8f772 · outbound

This paper cites Curto and Lawrence A.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Curto and Lawrence A

Reference 11

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Observation 6eeff7da-53c6-4cff-9401-90aa3847e1ff · outbound

This paper cites Learning mixtures of gaussians.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Learning mixtures of gaussians

Reference 12

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 13

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Observation 9631ecb3-39cd-471b-8979-a72334e11ba5 · outbound

This paper cites Likelihood ratio tests and singularities.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Likelihood ratio tests and singularities

Reference 14

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Model-based clustering, discriminant analysis, and density estimation

Reference 15

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 16

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 17

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 18

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This paper cites Large sample properties of generalized method of moments estimators.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Large sample properties of generalized method of moments estimators

Reference 19

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Observation 6bcdc023-3280-4639-8537-aa891812903f · outbound

This paper cites Strong identifiability and optimal minimax rates for finite mixture estimation.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Strong identifiability and optimal minimax rates for finite mixture estimation

Reference 20

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This paper cites Detecting Global Optimality and Extracting Solutions in GloptiPoly, pp.\ 293--310.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Detecting Global Optimality and Extracting Solutions in GloptiPoly, pp.\ 293--310

Reference 21

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Observation 162026f5-95a9-4487-8299-b661fcfbf2e0 · outbound

This paper cites Matrix manifold optimization for gaussian mixtures.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Matrix manifold optimization for gaussian mixtures

Reference 22

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Observation d6dda9a0-80af-4399-96de-767edf0d4488 · outbound

This paper cites Bootstrapping log likelihood and eic, an extension of aic.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Bootstrapping log likelihood and eic, an extension of aic

Reference 23

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Finite mixtures of multivariate poisson distributions with application

Reference 24

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This paper cites Choosing initial values for the em algorithm for finite mixtures.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Choosing initial values for the em algorithm for finite mixtures

Reference 25

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Rousseeuw

Reference 26

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Tensor decomposition for learning gaussian mixtures from moments

Reference 27

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Kiefer and J

Reference 28

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Minimizer extraction in polynomial optimization is robust

Reference 29

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Kothari, Prasad Raghavendra Manohar, and B

Reference 30

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Lasserre

Reference 31

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Moments, Positive Polynomials and Their Applications

Reference 32

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach An Introduction to Polynomial and Semi-Algebraic Optimization

Reference 33

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A hierarchy of convex relaxations for the total variation distance

Reference 34

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Estimating gaussian mixtures using sparse polynomial moment systems

Reference 35

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 36

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Clustering mixtures with almost optimal separation in polynomial time

Reference 37

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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Likelihood ratio tests of the number of components in a normal mixture with unequal variances

Reference 38

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Observation 8678cff2-824a-4b26-ad07-9199b63e0384 · outbound

This paper cites TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization

Reference 39

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:55:02.270473Z digest=sha256:c97f89447efa0a6b61f7de98ea5c2faebad5397084dd480228c2c551a15af102

Observation b06f43a2-874a-49c3-a649-56769a03fea4 · outbound

This paper cites McLachlan and David Peel.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach McLachlan and David Peel

Reference 40

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source=arxiv_source observed=2026-08-04T14:55:02.442348Z digest=sha256:078daf51748cedff3d7284608709b41420aacdc9d3c3c8936fd906235e536cf7

Observation 5dcd6f30-bbd8-412a-ab45-e4f3cdb8ef61 · outbound

This paper cites McLachlan and Suren Rathnayake.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach McLachlan and Suren Rathnayake

Reference 41

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source=arxiv_source observed=2026-08-04T14:55:02.621295Z digest=sha256:f1de795dba2cc43f1b3eed58619c71176310d4bf83fdf857eb59e80b7439a387

Observation 6cf58415-6eac-4645-b2e9-19925aac164c · outbound

This paper cites Moitra and G.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Moitra and G

Reference 42

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source=arxiv_source observed=2026-08-04T14:55:02.792250Z digest=sha256:f157593e82f48c4f5af1b388cd8628b1895c75c8cc6aa5f80fad8f84de8cec54

Observation 9fae15b1-95ef-4952-978d-fb2a9f99435e · outbound

This paper cites an unresolved cited work.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 43

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no resolver link, observed 2026-08-04T14:55:02.980231Z

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source=arxiv_source observed=2026-08-04T14:55:02.980231Z digest=sha256:a2a2f97f2da107b798d1c200a38779214f8edf5bb5fd2b5f5e63754afcca9e36

Observation f43605f1-bf22-4ad9-a0af-13e1fa0d48a2 · outbound

This paper cites Tensor Moments of Gaussian Mixture Models: Theory and Applications.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Tensor Moments of Gaussian Mixture Models: Theory and Applications

Reference 44

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no resolver link, observed 2026-08-04T14:55:03.177327Z

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source=arxiv_source observed=2026-08-04T14:55:03.177327Z digest=sha256:ba6822c1fd8e37d897e20e9d767c750684ebd1f6c91bc19560489564d9751fd8

Observation 9808fe80-8510-41ea-ad0b-4440e1f67eb8 · outbound

This paper cites A study of gaussian mixture models of color and texture features for image classification and segmentation.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A study of gaussian mixture models of color and texture features for image classification and segmentation

Reference 45

Resolution
verified exact
doi, observed 2026-08-04T14:58:53.924748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T14:55:03.363639Z digest=sha256:12bd4ba7386446874e3e2874ec1b6e3916ef2b89524f6f64274b10f5c96a0388

Observation 95aebcdb-d90b-4a91-92f5-0fb5f229509c · outbound

This paper cites Positive polynomials on compact semi-algebraic sets.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Positive polynomials on compact semi-algebraic sets

Reference 46

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source=arxiv_source observed=2026-08-04T14:55:03.553043Z digest=sha256:4ee3a7b1f8a0ac3c3f49940e1937a94090f447634a8d92d86c4dae7788cbef34

Observation 7d296319-1c7a-4a6d-94de-fbeef5f8df42 · outbound

This paper cites an unresolved cited work.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 47

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source=arxiv_source observed=2026-08-04T14:55:03.664756Z digest=sha256:241dd6d5f4ba070f1a9017864efff37004f5fe5b44aabe73c64b1127d487aa7d

Observation 57e7bf27-6017-4f14-b85f-5973839d1158 · outbound

This paper cites Reynolds, Thomas F.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Reynolds, Thomas F

Reference 48

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source=arxiv_source observed=2026-08-04T14:55:03.789327Z digest=sha256:d0fd07fb8fd3fb1d21afc1571ab4d83ed3db0837a4a3e26506578549b6061cad

Observation 5c89567b-2963-4b4e-ad8c-1d0cfb2a540b · outbound

This paper cites Lasserre.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Lasserre

Reference 49

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source=arxiv_source observed=2026-08-04T14:55:03.908022Z digest=sha256:2ff1d0124a7ea6b31276a83163b874ce40654af9eaeabb3277af891cf2248c28

Observation a0aca2e6-7946-4491-bcfc-2cb12a480b80 · outbound

This paper cites Estimating the dimension of a model.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Estimating the dimension of a model

Reference 50

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no resolver link, observed 2026-08-04T14:55:04.030775Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-04T14:55:04.030775Z digest=sha256:ca83662b8a95077f54adca050afcad0ea8e6703fc1bb962ec085b3ef67d1198f

Observation 74c15b05-fc5f-4a80-a8bc-aceb91b8fd94 · outbound

This paper cites A cautionary note on likelihood ratio tests in mixture models.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A cautionary note on likelihood ratio tests in mixture models

Reference 51

Resolution
verified exact
doi, observed 2026-08-04T14:58:53.561080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T14:55:04.115648Z digest=sha256:eb765ab94b1ffb12a9f20bb8ed873f07f8cd820833de14730094e0c56aecccdf

Observation 11c05bda-f192-482c-978d-8b46a78bc2ec · outbound

This paper cites Identifying the number of components in gaussian mixture models using numerical algebraic geometry.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Identifying the number of components in gaussian mixture models using numerical algebraic geometry

Reference 52

Resolution
verified exact
doi, observed 2026-08-04T14:58:53.333923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T14:55:04.190254Z digest=sha256:2843b9b3131f21a058ca918ae314129981b77aa240e1c4056dd6a39e67dc0d3d

Observation b41b8445-7418-4a61-a76c-0ddb7ebae69e · outbound

This paper cites an unresolved cited work.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 53

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source=arxiv_source observed=2026-08-04T14:55:04.298120Z digest=sha256:ae43a5ebfac9b2070676e7428fd3635523ea962d6f35d90574e697cd983d41e9

Observation f65c0170-c2af-4046-a868-719ef6700da0 · outbound

This paper cites Estimating the number of clusters in a data set via the gap statistic.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Estimating the number of clusters in a data set via the gap statistic

Reference 54

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no resolver link, observed 2026-08-04T14:55:04.377219Z

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source=arxiv_source observed=2026-08-04T14:55:04.377219Z digest=sha256:b00318ef9155b8accf046c426d2d52f7db62a5c9c3575af590201d27aef83b76

Observation 3722d92f-bd0d-406c-832e-cf8d2a3bb7d2 · outbound

This paper cites an unresolved cited work.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 55

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no resolver link, observed 2026-08-04T14:55:04.398554Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:55:04.398554Z digest=sha256:c85bd628485c218c958112a906c004478bdc82fc402921e63614791693b9b516

Observation 43acd970-0a25-4751-815d-9addd98c0621 · outbound

This paper cites Optimal estimation of gaussian mixtures via denoised method of moments.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Optimal estimation of gaussian mixtures via denoised method of moments

Reference 56

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:55:04.474454Z digest=sha256:a4f90dde72c1369fe97fc5facb409231284a3b57294e81e63adf19b8d934c6c8

Observation 9c97f82f-1818-48f6-afac-ad57fe024be3 · outbound

This paper cites Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow

Reference 57

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no resolver link, observed 2026-08-04T14:55:04.590884Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:55:04.590884Z digest=sha256:9586fe52ea2f1b86f7c4a2c75bae59cb7c18418070ae94a44d5b022c4a1fd3cc

Observation daa35138-0860-45a0-80c1-ed36686fbd7a · outbound

This paper cites Solving inverse problems with piecewise linear estimators: From gaussian mixture models to structured sparsity.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Solving inverse problems with piecewise linear estimators: From gaussian mixture models to structured sparsity

Reference 58

Resolution
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source=arxiv_source observed=2026-08-04T14:55:04.713289Z digest=sha256:c376be2920daa342b7eb54a8d5b0d56a2d53b11359ac4277e38f5c942f6b8b1c

Observation c860ad57-8f00-4c86-b48b-f426d30d4153 · outbound

This paper cites A mixture of mixture models for a classification problem: The unity measure error.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A mixture of mixture models for a classification problem: The unity measure error

Reference 59

Resolution
verified exact
doi, observed 2026-08-04T14:58:52.976097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T14:55:04.870877Z digest=sha256:5693f7c87c4eabd3bddac4f312ae3ed09e96d6d3b142cc83bc1d17a1500666f1

Observation 79b08e27-6163-4991-9506-6eabce4cab13 · outbound

This paper cites @esa (Ref.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach @esa (Ref

Reference 60

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source=arxiv_source observed=2026-08-04T14:55:05.008158Z digest=sha256:3d39883f92b4d0e572136678eaf87b46f09bcae8f3592a6efbe0263876e694f7

Observation bc1a9e79-cc6e-4921-983d-92cdc50e0f92 · outbound

This paper cites an unresolved cited work.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach Unresolved cited work

Reference 61

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no resolver link, observed 2026-08-04T14:55:05.174360Z

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source=arxiv_source observed=2026-08-04T14:55:05.174360Z digest=sha256:dd7863f6190178bf6a117539bebf3a60b48361c9da854765c2c458f0a152fd22

Observation ec6217b3-3d65-49ae-82e6-8346b4f4d945 · outbound

This paper cites A X . V@ly`r?4.

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach A X . V@ly`r?4

Reference 62

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:55:05.340175Z digest=sha256:5e296632580b4c362adfbbd59cf0b18d737f615a0a3d6ba7c3bd0b2a17ab9b0a

Pith citing papers

No inbound Pith citation observations are available.