Symmetry. saddle points, and global optimization landscape of nonconvex matrix factorization

Mathematics

• Matrix Factorization 77%
• Global Optimization 63%
• Saddlepoint 63%
• Symmetry 42%
• Global Minimum 34%
• Stationary point 32%
• Objective function 25%
• Sensing 21%
• Low-rank Matrices 20%
• Rotational symmetry 20%
• Lens 19%
• Initialization 19%
• Hessian matrix 18%
• Null Space 18%
• Negative Curvature 17%
• Symmetry Group 15%
• Divides 14%
• Global Convergence 14%
• Iterative Algorithm 14%
• Parameter Space 14%
• Strong Convergence 14%
• Entire 13%
• Convexity 12%
• Complement 11%
• Gradient 11%
• Invariant 8%
• Arbitrary 7%

Business & Economics

• Global Optimization 83%
• Saddlepoint 83%
• Symmetry 66%
• General Theory 34%
• Symmetry Group 29%
• Geometry 28%
• Objective Function 28%
• Matrix 27%
• Global Convergence 21%
• Curvature 18%
• Convexity 17%
• Gradient 16%
• Guarantee 12%

Engineering & Materials Science

• Global optimization 63%
• Factorization 61%
• Geometry 37%
• Lenses 31%