Evidence map›Paper›PMID 40770691›Full record

ArticleGenetics, selection, evolution : GSE2025

Monte Carlo approximation of the logarithm of the determinant of large matrices with applications for linear mixed models in quantitative genetics.

Matias Bermann, Alejandra Alvarez-Munera, Andres Legarra, Ignacio Aguilar, Ignacy Misztal, Daniela Lourenco

Abstract read
In one paragraph

Article in Genetics, selection, evolution : GSE, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

6 authors.

Matias BermannDepartment of Animal and Dairy Science, University of Georgia, Athens, GA, 30602, USA. mbermann@uga.edu.ORCID http://orcid.org/0000-0002-5374-0710
Alejandra Alvarez-MuneraDepartment of Animal and Dairy Science, University of Georgia, Athens, GA, 30602, USA.
Andres LegarraCDCB, Bowie, MD, 20716, USA.
Ignacio AguilarInstituto Nacional de Investigación Agropecuaria (INIA), 11500, Montevideo, Uruguay.
Ignacy MisztalDepartment of Animal and Dairy Science, University of Georgia, Athens, GA, 30602, USA.
Daniela LourencoDepartment of Animal and Dairy Science, University of Georgia, Athens, GA, 30602, USA.

Funding

National Institute of Food and Agriculture 2024-67015-42255
6 · The paper itself

Abstract

backgroundLikelihood-based inferences such as variance components estimation and hypothesis testing need logarithms of the determinant (log-determinant) of high dimensional matrices. Calculating the log-determinant is memory and time-consuming, making it impossible to perform likelihood-based inferences for large datasets.

resultsWe presented a method for approximating the log-determinant of positive semi-definite matrices based on repeated matrix-vector products and complex calculus. We tested the approximation of the log-determinant in beef and dairy cattle, chicken, and pig datasets including single and multiple-trait models. Average absolute relative differences between the approximated and exact log-determinant were around 10

conclusionsThe method presented in this study allows to approximate the log-determinant of positive semi-definite matrices and, therefore, the likelihood for datasets of any size. This opens the possibility of performing likelihood-based inferences for large datasets in animal and plant breeding.

Indexed as

Models, GeneticMonte Carlo MethodAlgorithmsAnimalsCattleChickensLikelihood FunctionsLinear ModelsQuantitative Trait, HeritableSwine

Identifiers

PMID40770691
PMCPMC12326753

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.