Gr\"obner Basis

Gröbner bases are fundamental algebraic objects used to solve systems of polynomial equations, a problem with broad applications in areas like computer vision and robotics. Current research focuses on improving the efficiency of Gröbner basis computation, exploring techniques like deep learning (e.g., Transformers) to accelerate calculations and predict key characteristics of the resulting bases. These advancements are impacting diverse fields by enabling faster solutions to complex problems involving polynomial systems, such as inverse kinematics in robotics and camera resectioning in computer vision.