How can we avoid the dimensionality curse? Many possibilities

1. smarter basis functions
2. resummation of specific correlations
3. stochastic sampling of high-lying states (stochastic FCI, CC and SRG/IMSRG)
4. many more

Machine Learning and Quantum Computing hold also great promise in tackling the ever increasing dimensionalities. Here we will focus on Machine Learning, with some links to recent research to quantum machine learning.