DSOS and SDSOS optimization: More tractable alternatives to sum of squares and semidefinite optimization

Mathematics

• Alternatives 42%
• Derivative 3%
• Linear programming 4%
• Machine Learning 5%
• MATLAB 5%
• Numerical Experiment 3%
• Optimization 52%
• Optimization Problem 3%
• Optimization Theory 6%
• Polynomial 5%
• Positive Semidefinite Matrix 5%
• Pricing 5%
• Real Algebraic Geometry 7%
• Review 3%
• Scalability 6%
• Second-order Cone Programming 7%
• Semidefinite Optimization 100%
• Semidefinite Program 6%
• Semidefinite Programming 5%
• Statistics 3%
• Subset 5%
• Sum of squares 72%
• Theorem 1%
• Trade-offs 10%
• Valid 3%

Engineering & Materials Science

• Cones 7%
• Control theory 7%
• Costs 2%
• Derivatives 6%
• Experiments 2%
• Geometry 4%
• Linear programming 7%
• Machine learning 5%
• MATLAB 6%
• Polynomials 11%
• Scalability 6%
• Set theory 9%
• Statistics 5%