Quant Interview Practice Questions

Consider a unit hypercube (all sides have length 1) in $d$ dimensions. We want to understand the implications of increasing the number of dimensions in our financial models. Specifically, what happens to the fraction of the hypercube's volume that lies within a distance of 0.01 from its boundary as $d$ increases? How does this phenomenon, known as the "curse of dimensionality", affect the reliability of distance-based machine learning models in finance, where we often deal with a large number