Paper Citation Record · LEDGER

Sample Complexity of Branch-length Estimation by Maximum Likelihood

As of 7 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.22038.

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

pith.paper-citation-record.v1
2507.22038 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:20:43.699451Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 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

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation 627f97a2-97b9-47af-b498-94f20d7ca501 · outbound

This paper cites More Algorithms for Provable Dictionary Learning.

Sample Complexity of Branch-length Estimation by Maximum Likelihood More Algorithms for Provable Dictionary Learning

Reference 1

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This paper cites Subgradient descent learns orthogonal dictionaries.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Subgradient descent learns orthogonal dictionaries

Reference 2

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Unresolved cited work

Reference 3

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This paper cites and Tetruashvili, L.

Sample Complexity of Branch-length Estimation by Maximum Likelihood and Tetruashvili, L

Reference 4

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This paper cites M., Ruiz, J., and Zagrebnov, V.

Sample Complexity of Branch-length Estimation by Maximum Likelihood M., Ruiz, J., and Zagrebnov, V

Reference 5

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This paper cites The K esten- S tigum reconstruction bound is tight for roughly symmetric binary channels.

Sample Complexity of Branch-length Estimation by Maximum Likelihood The K esten- S tigum reconstruction bound is tight for roughly symmetric binary channels

Reference 6

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Reference 7

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Unresolved cited work

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Chen, Y

Reference 9

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Sample Complexity of Branch-length Estimation by Maximum Likelihood M., and Chen, Y

Reference 10

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Tuller, T

Reference 11

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Observation d364c6d0-0df6-4729-a19f-3b0338115183 · outbound

This paper cites Likelihood landscape of binary latent model on a tree.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Likelihood landscape of binary latent model on a tree

Reference 12

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Observation 1194f764-b0a2-4080-90b9-4380bf97553b · outbound

This paper cites Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications

Reference 13

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Observation bd385114-3483-4c70-9cda-b5a426665c20 · outbound

This paper cites Mathematical M ethods of S tatistics , volume 9 of Princeton Mathematical Series.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Mathematical M ethods of S tatistics , volume 9 of Princeton Mathematical Series

Reference 14

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This paper cites Evolutionary trees and the ising model on the bethe lattice: a proof of steel's conjecture.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Evolutionary trees and the ising model on the bethe lattice: a proof of steel's conjecture

Reference 15

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Observation 60ea41f1-2bb8-49fe-881f-d28930028a09 · outbound

This paper cites Probability: Theory and Examples , volume 49.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Probability: Theory and Examples , volume 49

Reference 16

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Observation 1e079d87-cc37-451c-8005-a2de4c8effc2 · outbound

This paper cites Evolutionary trees from DNA sequences: A maximum likelihood approach.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Evolutionary trees from DNA sequences: A maximum likelihood approach

Reference 18

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Tateno, Y

Reference 19

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This paper cites D., Garrote-L \'o pez, M., and Shehu, E.

Sample Complexity of Branch-length Estimation by Maximum Likelihood D., Garrote-L \'o pez, M., and Shehu, E

Reference 20

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Gascuel, O

Reference 21

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Observation f78ef1ba-ff51-44a0-952c-c591ccec5660 · outbound

This paper cites New algorithms and methods to estimate maximum-likelihood phylogenies: assessing the performance of PhyML 3.0.

Sample Complexity of Branch-length Estimation by Maximum Likelihood New algorithms and methods to estimate maximum-likelihood phylogenies: assessing the performance of PhyML 3.0

Reference 22

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Unresolved cited work

Reference 23

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Observation 3e2eee3c-cd35-4f22-ba09-c982b070e02d · outbound

This paper cites On the extremality of the disordered state for the I sing model on the B ethe lattice.

Sample Complexity of Branch-length Estimation by Maximum Likelihood On the extremality of the disordered state for the I sing model on the B ethe lattice

Reference 24

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Observation 329e5b7c-074e-4f95-a795-3048b436654c · outbound

This paper cites Non-convex optimization for machine learning.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Non-convex optimization for machine learning

Reference 25

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This paper cites Linear convergence of gradient and proximal-gradient methods under the P olyak- ojasiewicz condition.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Linear convergence of gradient and proximal-gradient methods under the P olyak- ojasiewicz condition

Reference 26

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Stigum, B

Reference 27

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Babu, G

Reference 28

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Sample Complexity of Branch-length Estimation by Maximum Likelihood A topological property of real analytic subsets

Reference 29

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This paper cites Implicit regularization in nonconvex statistical estimation: G radient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Implicit regularization in nonconvex statistical estimation: G radient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution

Reference 30

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Combinatorial statistics and the sciences

Reference 31

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Molecular studies of evolution: a source of novel statistical problems

Reference 33

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Sample Complexity of Branch-length Estimation by Maximum Likelihood A., von Haeseler, A., and Minh, B

Reference 34

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This paper cites A short proof that phylogenetic tree reconstruction by maximum likelihood is hard.

Sample Complexity of Branch-length Estimation by Maximum Likelihood A short proof that phylogenetic tree reconstruction by maximum likelihood is hard

Reference 36

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Modern Discrete Probability: An Essential Toolkit

Reference 37

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Sample Complexity of Branch-length Estimation by Maximum Likelihood and Sly, A

Reference 38

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Observation aed6ae32-9ffb-406e-b31c-5e98510e9268 · outbound

This paper cites RAxML version 8: a tool for phylogenetic analysis and post-analysis of large phylogenies.

Sample Complexity of Branch-length Estimation by Maximum Likelihood RAxML version 8: a tool for phylogenetic analysis and post-analysis of large phylogenies

Reference 39

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Observation 79b8601c-1156-45b8-8dbe-680bd8721f2f · outbound

This paper cites The maximum likelihood point for a phylogenetic tree is not unique.

Sample Complexity of Branch-length Estimation by Maximum Likelihood The maximum likelihood point for a phylogenetic tree is not unique

Reference 40

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This paper cites Phylogeny: Discrete and Random Processes in Evolution.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Phylogeny: Discrete and Random Processes in Evolution

Reference 41

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Sample Complexity of Branch-length Estimation by Maximum Likelihood A geometric analysis of phase retrieval

Reference 42

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Sample Complexity of Branch-length Estimation by Maximum Likelihood Unresolved cited work

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This paper cites Note on the consistency of the maximum likelihood estimate.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Note on the consistency of the maximum likelihood estimate

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:20:44.466715Z

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Observation 5aa2f76f-6880-4e0f-b741-f2b0e6df2784 · outbound

This paper cites Computational Phylogenetics : An Introduction to Designing Methods for Phylogeny Estimation.

Sample Complexity of Branch-length Estimation by Maximum Likelihood Computational Phylogenetics : An Introduction to Designing Methods for Phylogeny Estimation

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:20:44.425879Z

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Observation ef18c4f6-3cc5-4e7f-837b-443957886621 · outbound

This paper cites From Symmetry to Geometry: Tractable Nonconvex Problems.

Sample Complexity of Branch-length Estimation by Maximum Likelihood From Symmetry to Geometry: Tractable Nonconvex Problems

Reference 46

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Sample Complexity of Branch-length Estimation by Maximum Likelihood write newline

Reference 47

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Pith citing papers

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