Loss Minimization
Loss minimization, a core objective in machine learning, aims to find model parameters that minimize a chosen loss function, thereby improving prediction accuracy and model performance. Current research focuses on refining existing algorithms like stochastic gradient descent and exploring novel approaches such as evolution strategies and geometric Nash equilibria for more efficient and stable optimization, often within specific architectures like neural networks and Kalman filters. These advancements are crucial for improving the performance of various applications, from facial emotion recognition and quantitative finance to continual learning and robust clustering in large datasets. The ongoing investigation into loss landscape sharpness and its relationship to generalization further enhances the understanding and practical application of loss minimization techniques.