Functional Theory

Functional theory encompasses mathematical frameworks for representing and analyzing functions, finding applications across diverse scientific fields. Current research focuses on improving the accuracy and efficiency of functionals, particularly in density functional theory (DFT) for electronic structure calculations and causal inference, employing techniques like neural networks, and novel regularization methods for inverse problems. These advancements are crucial for accelerating scientific computation, enhancing the reliability of causal analyses, and enabling more accurate modeling in areas ranging from materials science to economics.