Editing Neural network (machine learning) (section)

===Topological deep learning===
[[Topological deep learning]], first introduced in 2017,<ref>{{Cite journal |last1=Cang |first1=Zixuan |last2=Wei |first2=Guo-Wei |date=27 July 2017 |title=TopologyNet: Topology based deep convolutional and multi-task neural networks for biomolecular property predictions |journal=PLOS Computational Biology |language=en |volume=13 |issue=7 |pages=e1005690 |doi=10.1371/journal.pcbi.1005690 |doi-access=free |issn=1553-7358 |pmc=5549771 |pmid=28749969|arxiv=1704.00063 |bibcode=2017PLSCB..13E5690C }}</ref> is an emerging approach in [[machine learning]] that integrates topology with deep neural networks to address highly intricate and high-order data. Initially rooted in [[algebraic topology]], TDL has since evolved into a versatile framework incorporating tools from other mathematical disciplines, such as [[differential topology]] and [[geometric topology]]. As a successful example of mathematical deep learning, TDL continues to inspire advancements in mathematical [[artificial intelligence]], fostering a mutually beneficial relationship between AI and [[mathematics]].