@InProceedings{makarychev_et_al:LIPIcs.ITCS.2020.49, author = {Makarychev, Konstantin and Makarychev, Yury}, title = {{Certified Algorithms: Worst-Case Analysis and Beyond}}, booktitle = {11th Innovations in Theoretical Computer Science Conference (ITCS 2020)}, pages = {49:1--49:14}, 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.2020.49}, URN = {urn:nbn:de:0030-drops-117347}, doi = {10.4230/LIPIcs.ITCS.2020.49}, annote = {Keywords: certified algorithm, perturbation resilience, Bilu, Linial stability, beyond-worst-case analysis, approximation algorithm, integrality} }