@InProceedings{uchizawa_et_al:LIPIcs.MFCS.2023.85, author = {Uchizawa, Kei and Abe, Haruki}, title = {{Exponential Lower Bounds for Threshold Circuits of Sub-Linear Depth and Energy}}, booktitle = {48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023)}, pages = {85:1--85:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-292-1}, ISSN = {1868-8969}, year = {2023}, volume = {272}, editor = {Leroux, J\'{e}r\^{o}me and Lombardy, Sylvain and Peleg, David}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2023.85}, URN = {urn:nbn:de:0030-drops-186192}, doi = {10.4230/LIPIcs.MFCS.2023.85}, annote = {Keywords: Circuit complexity, disjointness function, equality function, neural networks, threshold circuits, ReLU cicuits, sigmoid circuits, sparse activity} }