Advances in Optimization and Stability Analysis

The field of optimization and stability analysis is witnessing significant developments, with a focus on improving the efficiency and robustness of algorithms. Researchers are exploring new approaches to adapt to changing environments and function types, leading to the development of universal algorithms that can handle multiple types of convex functions simultaneously. Additionally, there is a growing interest in applying optimization techniques to real-world problems, such as power system voltage stability and nonlinear autonomous systems. Notable papers in this area include: Dual Adaptivity: Universal Algorithms for Minimizing the Adaptive Regret of Convex Functions, which proposes a meta-expert framework for dual adaptive algorithms. Learning to optimize with guarantees: a complete characterization of linearly convergent algorithms, which characterizes the class of algorithms that achieve linear convergence for classes of nonsmooth composite optimization problems.

Sources

Dual Adaptivity: Universal Algorithms for Minimizing the Adaptive Regret of Convex Functions

Projective Delineability for Single Cell Construction

A Variant of Non-uniform Cylindrical Algebraic Decomposition for Real Quantifier Elimination

Low-dimensional observer design for stable linear systems by model reduction

Learning to optimize with guarantees: a complete characterization of linearly convergent algorithms

Power System Voltage Stability Boundary: Computational Results and Applications

An Event-based State Estimation Approach for Positive Systems with Positive Observers

Linear Program-Based Stability Conditions for Nonlinear Autonomous Systems

Built with on top of