@InProceedings{bandeira_et_al:LIPIcs.ITCS.2020.78, author = {Bandeira, Afonso S. and Kunisky, Dmitriy and Wein, Alexander S.}, title = {{Computational Hardness of Certifying Bounds on Constrained PCA Problems}}, booktitle = {11th Innovations in Theoretical Computer Science Conference (ITCS 2020)}, pages = {78:1--78:29}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-134-4}, ISSN = {1868-8969}, year = {2020}, volume = {151}, editor = {Vidick, Thomas}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2020.78}, URN = {urn:nbn:de:0030-drops-117633}, doi = {10.4230/LIPIcs.ITCS.2020.78}, annote = {Keywords: Certification, Sherrington-Kirkpatrick model, spiked Wishart model, low-degree likelihood ratio} }