2023
Spectral top-down recovery of latent tree models
Aizenbud Y, Jaffe A, Wang M, Hu A, Amsel N, Nadler B, Chang J, Kluger Y. Spectral top-down recovery of latent tree models. Information And Inference A Journal Of The IMA 2023, 12: 2300-2350. PMID: 37593361, PMCID: PMC10431953, DOI: 10.1093/imaiai/iaad032.Peer-Reviewed Original ResearchLatent tree modelsHigh-dimensional dataLaplacian matrixFiedler vectorRandom wayTree structureObserved nodesGraphical modelsTerminal nodesTree modelTerms of runtimeNumber of samplesModerate sizeConquer approachRandom subsetCertain conditionsSimilar accuracyPrevious methodsSmall subtreesCommon approachModelHigh probabilityOnly observationScientific domainsNon-random way
2021
Spectral neighbor joining for reconstruction of latent tree Models.
Jaffe A, Amsel N, Aizenbud Y, Nadler B, Chang JT, Kluger Y. Spectral neighbor joining for reconstruction of latent tree Models. SIAM Journal On Mathematics Of Data Science 2021, 3: 113-141. PMID: 34124606, PMCID: PMC8194222, DOI: 10.1137/20m1365715.Peer-Reviewed Original ResearchGraphical modelsObserved variablesEvolutionary lineagesRandom variablesNeighbor-JoiningLatent tree modelsSufficient conditionsMultiple scientific applicationsIndependent realizationsObserved organismsTree topologyTree recoverySpectral measureSimilarity matrixObserved dataNumber of samplesImportant exampleLeavesTreesExtensive simulationsMeasure of similarityScientific applicationsLong edgesReconstruction methodPhylogenetics