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#saddle-point
1 articles
01
2026-08-13
·
Calculus & Optimization
·
FREE
·
PAPER
·
9 min read
Convexity and Optimization — Why Deep Learning Works Even Though It Isn't Convex
Optimization textbooks teach a stark divide: convex problems are solvable, non-convex ones come with no guarantees. So why does deep learning — whose loss surface is provably non-convex — work at all? From convex sets and functions to saddle points and flat minima, this article connects the whole story in the language of landscapes.