Algorithmic Foundation of Deep X-Risk Optimization. (arXiv:2206.00439v3 [cs.LG] UPDATED)

X-risk is a term introduced to represent a family of compositional measures
or objectives, in which each data point is compared with a set of data points
explicitly or implicitly for defining a risk function. It includes many widely
used measures or objectives, e.g., AUROC, AUPRC, partial AUROC, NDCG, MAP,
top-$K$ NDCG, top-$K$ MAP, listwise losses, p-norm push, top push,
precision/recall at top $K$ positions, precision at a certain recall level,
contrastive objectives, etc. While these measures/objectives and their
optimization …

arxiv lg optimization risk