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math.OC2026
Compositional Sensitivity Analysis for Multiobjective System Co-Design
Alan Bonomi, Antonio Terpin, Yubo Cai +3
Sensitivity analysis of coupled systems typically propagates derivatives of single-valued maps, whereas multiobjective optimization generally treats sensitivity at the system level…
math.OC2026
Scalable Co-Design via Linear Design Problems: Compositional Theory and Algorithms
Yubo Cai, Yujun Huang, Meshal Alharbi +1
Designing complex engineered systems requires managing tightly coupled trade-offs between subsystem capabilities and resource requirements. Monotone co-design provides a compositio…
math.OC2026
A Globally Convergent Third-Order Newton Method via Unified Semidefinite Programming Subproblems
Yubo Cai, Wenqi Zhu, Coralia Cartis +1
We propose the Adaptive Levenberg-Marquardt Third-Order Newton Method (ALM-TON) method for unconstrained nonconvex optimization; to our knowledge, the framework provides the first…