{"doi":"10.5705/ss.202021.0389","title":"Partially-Global Fréchet Regression","abstract":"We propose a partially-global Fréchet regression model by extending the profiling technique for the partially linear regression model (Severini and Wong 1992).This extension allows for the response to come from a generic metric space and can incorporate a combination of Euclidean predictors and a predictor which comes from another generic metric space.By melding together the local and global Fréchet regression models proposed by Petersen and Müller (2019), we gain a model that is more flexible than global Fréchet regression and more accurate than local Fréchet regression when the data generating process relies on a non-Euclidean predictor or is truly \"global (linear)\" for some scalar predictors.In this paper, we provide theoretical support for partially-global Fréchet regression and demonstrate its competitive finite-sample performance when applied to both simulated data and to real data which is too complex for traditional statistical methods.","journal":"Statistica Sinica","year":2023,"id":379671,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9572,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2023-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":436371,"name":"Yichao Wu","orcid":"0000-0001-8660-8452","position":1,"is_corresponding":false},{"id":1144811,"name":"Danielle C. Tucker","orcid":null,"position":0,"is_corresponding":true}],"reference_count":31,"raw_metadata":null,"created_at":"2026-07-19T01:16:56.650289Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}