Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Abstract: The total least squares (TLS) algorithm is a superior identification tool for low-order errors-in-variables (EIV) systems, where the estimate can be obtained by solving an eigenvector of the ...

Abstract: This letter proposes a quaternion projection gradient ascent (QPGA) iterative algorithm based on generalized $\mathbb {HR}$ calculus for computing the principal eigenvalues and its ...

This week I interviewed Senator Amy Klobuchar, Democrat of Minnesota, about her Preventing Algorithmic Collusion Act. If you don’t know what algorithmic collusion is, it’s time to get educated, ...

Chain-of-Thought (CoT) reasoning enhances the capabilities of LLMs, allowing them to perform more complex reasoning tasks. Despite being primarily trained for next-token prediction, LLMs can generate ...

In response to the complexity of the Jacobian matrix inversion process in the power flow algorithm for AC/DC microgrids, leading to large memory requirements and susceptibility to convergence issues, ...

Iterative preference optimization methods have shown efficacy in general instruction tuning tasks but yield limited improvements in reasoning tasks. These methods, utilizing preference optimization, ...

Forbes contributors publish independent expert analyses and insights. I write about fitness, health and wearable tech Algorithms have taken on an almost mythical significance in the modern world. They ...