Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous and powerful tools. A new result marks an exciting advance toward that goal.

Abstract: In the function computation problem, certain nodes of an undirected graph have access to independent data, while some other nodes of the graph require certain functions of the data; this ...

Abstract: In this paper, we provide a matrix that diagonalizes the Laplacian of a path graph over a finite field. By analogy with the fact that the discrete cosine transform matrix diagonalizes the ...

In the realm of graph learning, there is a category of methods that conceptualize graphs as hierarchical structures, utilizing node clustering to capture broader structural information. While ...

At present, with the progress and innovation of technology, the radar communication dual function wave has become a hot research at home and abroad. Excellent integrated waveform can make full use ...

GeneticPromptLab is a Python library designed to harness the power of genetic algorithms for automated prompt engineering for large language models (LLMs). By iteratively applying selection, crossover ...