离散签名变体 Discrete signature varieties

作者:Carlo Bellingeri Raul Penaguiao

离散签名是从离散版本的路径中提取的不变量,类似于粗糙路径的迭代积分签名。在本文中,我们研究了这些离散签名的图像,即离散签名的多样性,并开始对主签名进行分类,这些元素在计算相关李代数的维数中起着至关重要的作用。我们还介绍了这种多样性的一些生成器和一些麦考利2代码的结果。

Discrete signatures are invariants extracted from a discretised version ofpaths that resembles the iterated integral signature of rough paths. In thispaper we study the image of these discrete signatures, the discrete signaturevariety, and begin a classification of the primary signatures, elements thatplay a crucial role in computing the dimension of the associated Lie algebra.We also present some generators of this variety and the results of someMacaulay2 code to that effect.

论文链接:http://arxiv.org/pdf/2303.13377v1

更多计算机论文:http://cspaper.cn/

Related posts