Advances in Stability and Optimization Techniques

The field is witnessing significant advancements in stability and optimization techniques, with a focus on addressing complex challenges in laser power stabilization, high-dimensional uncertainty propagation, and nonlinear system solving. Researchers are developing innovative methods to overcome long-standing limitations, such as logarithmic singularities and spectral outliers, and are achieving substantial improvements in performance and efficiency. Notably, the development of robust active disturbance rejection control strategies, nonlinear dimensionality reduction techniques, and adaptive iterative solvers are enabling breakthroughs in various applications, including optically pumped magnetometers and large-scale linear systems. Noteworthy papers include: Compact Amplified Laser Power Stabilization Using Robust Active Disturbance Rejection Control with Sensor Noise Decoupling, which presents a novel approach to laser power stabilization, achieving an 85.7% reduction in power instability. Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach, which introduces a novel iterative solver that efficiently handles singular nonlinear systems.

Sources

Compact Amplified Laser Power Stabilization Using Robust Active Disturbance Rejection Control with Sensor Noise Decoupling

Enabling stratified sampling in high dimensions via nonlinear dimensionality reduction

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach

Subspace-constrained randomized coordinate descent for linear systems with good low-rank matrix approximations

Probability-One Optimization of Generalized Rayleigh Quotient Sum For Multi-Source Generalized Total Least-Squares

Enhanced randomized Douglas-Rachford method: Improved probabilities and adaptive momentum

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