“I was curious to establish a baseline for when LLMs are effectively able to solve open math problems compared to where they ...

Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...

Abstract: This technical note presents a continuous-time multi-agent system for distributed optimization with an additive objective function composed of individual objective functions subject to bound ...

The primary utility function, find_embedding(), is an implementation of the heuristic algorithm described in [1]. It accepts various optional parameters used to tune the algorithm's execution or ...

Abstract: This paper introduces a continuous functional model for head-related transfer functions (HRTFs) in the horizontal auditory scene. The approach uses a separable representation consisting of a ...

Why real AI benefit often arrives in small model packages When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Hardly a week goes by without a ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Even though human experience unfolds continuously in time, it is not strictly linear; instead, it entails cascading processes building hierarchical cognitive structures. For instance, during speech ...