Analysis of the Identifying Regulation with Adversarial Surrogates Algorithm

arXiv:2405.02953v1 Announce Type: cross
Abstract: Given a time-series of noisy measured outputs of a dynamical system z[k], k=1...N, the Identifying Regulation with Adversarial Surrogates (IRAS) algorithm aims to find a non-trivial first integral of the system, namely, a scalar function g() such that g(z[i]) = g(z[j]), for all i,j. IRAS has been suggested recently and was used successfully in several learning tasks in models from biology and physics. Here, we give the first rigorous analysis of this algorithm in a …

abstract adversarial algorithm analysis arxiv cs.lg cs.sy eess.sy function integral regulation series type