curvature-aware-nonconvex-optimization

What problem does it solve?

将二阶几何信息（曲率/海森矩阵特征值）显式纳入优化目标或约束，帮助逃逸鞍点、加速收敛。

Core Features & Use Cases

• Explicitly leverage Hessian information to detect negative curvature directions and guide escape from saddle points.
• Support CRGD, trust-region, and second-order methods for curvature-informed optimization.
• Applications include deep learning training, neural network initialization, and curvature-sensitive optimization tasks.

Quick Start

Use curvature-aware optimization to escape saddle points by estimating the Hessian's smallest eigenvalue and perturbing along the corresponding negative curvature direction.