@misc{hu-xie-yuan-zhang-2026-bup-tr,
  author        = {Wei Hu and Pengcheng Xie and Ya-xiang Yuan and Li Zhang},
  title         = {{BUP-TR}: {Bayesian} Underdetermined Projection Trust-Region Methods for Derivative-Free Optimization},
  year          = {2026},
  eprint        = {2605.30841},
  archivePrefix = {arXiv},
  primaryClass  = {math.OC},
  url           = {https://arxiv.org/abs/2605.30841},
  keywords      = {optimization}
}

{"_id":"pqNpBy5TNBsn9TppX","bibbaseid":"hu-xie-yuan-zhang-buptrbayesianunderdeterminedprojectiontrustregionmethodsforderivativefreeoptimization-2026","author_short":["Hu, W.","Xie, P.","Yuan, Y.","Zhang, L."],"bibdata":{"bibtype":"misc","type":"misc","author":[{"firstnames":["Wei"],"propositions":[],"lastnames":["Hu"],"suffixes":[]},{"firstnames":["Pengcheng"],"propositions":[],"lastnames":["Xie"],"suffixes":[]},{"firstnames":["Ya-xiang"],"propositions":[],"lastnames":["Yuan"],"suffixes":[]},{"firstnames":["Li"],"propositions":[],"lastnames":["Zhang"],"suffixes":[]}],"title":"BUP-TR: Bayesian Underdetermined Projection Trust-Region Methods for Derivative-Free Optimization","year":"2026","eprint":"2605.30841","archiveprefix":"arXiv","primaryclass":"math.OC","url":"https://arxiv.org/abs/2605.30841","keywords":"optimization","bibtex":"@misc{hu-xie-yuan-zhang-2026-bup-tr,\n author = {Wei Hu and Pengcheng Xie and Ya-xiang Yuan and Li Zhang},\n title = {{BUP-TR}: {Bayesian} Underdetermined Projection Trust-Region Methods for Derivative-Free Optimization},\n year = {2026},\n eprint = {2605.30841},\n archivePrefix = {arXiv},\n primaryClass = {math.OC},\n url = {https://arxiv.org/abs/2605.30841},\n keywords = {optimization}\n}\n\n","author_short":["Hu, W.","Xie, P.","Yuan, Y.","Zhang, L."],"key":"hu-xie-yuan-zhang-2026-bup-tr","id":"hu-xie-yuan-zhang-2026-bup-tr","bibbaseid":"hu-xie-yuan-zhang-buptrbayesianunderdeterminedprojectiontrustregionmethodsforderivativefreeoptimization-2026","role":"author","urls":{"Paper":"https://arxiv.org/abs/2605.30841"},"keyword":["optimization"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"misc","biburl":"https://pxie98.github.io/xpcpublication.bib","dataSources":["MDXYzDiXnZHWF2wpy"],"keywords":["optimization"],"search_terms":["bup","bayesian","underdetermined","projection","trust","region","methods","derivative","free","optimization","hu","xie","yuan","zhang"],"title":"BUP-TR: Bayesian Underdetermined Projection Trust-Region Methods for Derivative-Free Optimization","year":2026}