@InProceedings{williams:LIPIcs.CCC.2018.6, author = {Williams, Richard Ryan}, title = {{Limits on Representing Boolean Functions by Linear Combinations of Simple Functions: Thresholds, ReLUs, and Low-Degree Polynomials}}, booktitle = {33rd Computational Complexity Conference (CCC 2018)}, pages = {6:1--6:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-069-9}, ISSN = {1868-8969}, year = {2018}, volume = {102}, editor = {Servedio, Rocco A.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2018.6}, URN = {urn:nbn:de:0030-drops-88846}, doi = {10.4230/LIPIcs.CCC.2018.6}, annote = {Keywords: linear threshold functions, lower bounds, neural networks, low-degree polynomials} }