This is Python source code for the paper "New Q-Newton's method meets Backtracking line search: good convergence guarantee, saddle points avoidance, quadratic rate of convergence, and easy ...

Advancements in natural language processing have greatly enhanced the capabilities of language models, making them essential tools for various applications, including virtual assistants, automated ...

Scientists have developed a new method to analyze the dynamical, out-of-equilibrium properties of complex disordered systems, such as gold with magnetic impurities or opinions spreading on social ...

loss = np.mean(ln(1 + exp(-y (X @ w)))) + lam_regular * np.sum(w ** 2) grad = 1/num_samples * X^T @ (y / (1 + z) - y) + 2 * lam_regular * w def backtracking_line ...

In physics, a "disordered system" refers to a physical system whose components – e.g. its atoms – are not organized in any discernible way. Like a drawer full of random socks, a disordered system ...

Abstract: In this paper, we propose a backtracking method of AUV based on optical and acoustic image evaluation. With the proposed method, the vehicle can record useful images on its path, and conduct ...

A technique can determine for the first time how frequently, and exactly where, a molecular event called "backtracking" occurs throughout the genetic material (genome) of any species, a new study ...