eprintid: 10083559 rev_number: 20 eprint_status: archive userid: 608 dir: disk0/10/08/35/59 datestamp: 2019-10-18 14:17:56 lastmod: 2021-09-28 22:14:56 status_changed: 2019-10-18 14:18:36 type: proceedings_section metadata_visibility: show creators_name: Wilson, JT creators_name: Hutter, F creators_name: Deisenroth, MP title: Maximizing acquisition functions for Bayesian optimization ispublished: pub divisions: UCL divisions: B04 divisions: C05 divisions: F48 note: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. abstract: Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the Bayes’ decision rule, but this ideal is difficult to achieve since these functions are frequently non-trivial to optimize. This statement is especially true when evaluating queries in parallel, where acquisition functions are routinely non-convex, highdimensional, and intractable. We first show that acquisition functions estimated via Monte Carlo integration are consistently amenable to gradient-based optimization. Subsequently, we identify a common family of acquisition functions, including EI and UCB, whose properties not only facilitate but justify use of greedy approaches for their maximization. date: 2018-12-08 date_type: published publisher: Neural Information Processing Systems (NIPS) official_url: https://papers.nips.cc/paper/8194-maximizing-acquisition-functions-for-bayesian-optimization.pdf oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1705341 lyricists_name: Deisenroth, Marc lyricists_id: MDEIS71 actors_name: Deisenroth, Marc actors_id: MDEIS71 actors_role: owner full_text_status: public series: Neural Information Processing Systems (NIPS) publication: Proceedings of the 32nd Conference on Neural Information Processing Systems (NIPS 2018) volume: 31 place_of_pub: Montreal, QC, Canada pages: 12 event_title: 32nd Conference on Neural Information Processing Systems (NIPS 2018), 3-8 December 2018, Montreal, QC, Canada event_location: Montreal, CANADA issn: 1049-5258 book_title: Proceedings of the 32nd Conference on Neural Information Processing Systems (NIPS 2018) editors_name: Bengio, S editors_name: Wallach, H editors_name: Larochelle, H editors_name: Grauman, K editors_name: CesaBianchi, N editors_name: Garnett, R citation: Wilson, JT; Hutter, F; Deisenroth, MP; (2018) Maximizing acquisition functions for Bayesian optimization. In: Bengio, S and Wallach, H and Larochelle, H and Grauman, K and CesaBianchi, N and Garnett, R, (eds.) Proceedings of the 32nd Conference on Neural Information Processing Systems (NIPS 2018). Neural Information Processing Systems (NIPS): Montreal, QC, Canada. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10083559/1/1805.10196v2.pdf