Abstract: Variational models involving Euler’s elastica energy have a wide range of applications in digital image processing. Recently, fast methods, such as the proximal-augmented Lagrangian method ...

This shows that even very small models like the llama3.2 model has a two-fold super-human performance at solving those problems. Solving specific tasks by coding programs requires a high degree of ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

French writer and philosopher Voltaire once said that "originality is nothing but judicious imitation" and when it comes to the use of artificial intelligence, he's absolutely right. Using a wealth of ...

The drift-diffusion model (DDM) is an important decision-making model in cognitive neuroscience. However, innovations in model form have been limited by methodological challenges. Here, we introduce ...