@InProceedings{sra_et_al:LIPIcs.APPROX-RANDOM.2018.25, author = {Sra, Suvrit and Vishnoi, Nisheeth K. and Yildiz, Ozan}, title = {{On Geodesically Convex Formulations for the Brascamp-Lieb Constant}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2018)}, pages = {25:1--25:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-085-9}, ISSN = {1868-8969}, year = {2018}, volume = {116}, editor = {Blais, Eric and Jansen, Klaus and D. P. Rolim, Jos\'{e} and Steurer, David}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2018.25}, URN = {urn:nbn:de:0030-drops-94296}, doi = {10.4230/LIPIcs.APPROX-RANDOM.2018.25}, annote = {Keywords: Geodesic convexity, positive definite cone, geodesics, Brascamp-Lieb constant} }