@InProceedings{austrin_et_al:LIPIcs.ITCS.2019.7, author = {Austrin, Per and Kaski, Petteri and Kubjas, Kaie}, title = {{Tensor Network Complexity of Multilinear Maps}}, booktitle = {10th Innovations in Theoretical Computer Science Conference (ITCS 2019)}, pages = {7:1--7:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-095-8}, ISSN = {1868-8969}, year = {2019}, volume = {124}, editor = {Blum, Avrim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2019.7}, URN = {urn:nbn:de:0030-drops-101006}, doi = {10.4230/LIPIcs.ITCS.2019.7}, annote = {Keywords: arithmetic complexity, lower bound, multilinear map, tensor network} }