We propose a strategy for greedy sampling in the context of non-intrusive interpolation-based surrogate modeling for frequency-domain problems. We rely on a non-intrusive and cheap error indicator to drive the adaptive selection of the high-fidelity samples on which the surrogate is based. We develop a theoretical framework to support our proposed indicator. We also present several practical approaches for the termination criterion that is used to end the greedy sampling iterations. To showcase our greedy strategy, we numerically test it in combination with the well-known Loewner framework. To this effect, we consider several benchmarks, highlighting the effectiveness of our adaptive approach in approximating the transfer function of complex systems from few samples.

翻译：我们提出了一个战略,在非侵入性内插替代模型中,针对频率问题提出贪婪抽样战略。我们依靠一个非侵入性和廉价的错误指标来推动对替代模型所依据的高贞洁样品的适应性选择。我们开发了一个理论框架来支持我们提出的指标。我们还为终止贪婪抽样迭代的终止标准提出了几种实用方法。为了展示我们的贪婪战略,我们用数字来测试它与众所周知的Loewner框架相结合。为此,我们考虑了若干基准,强调我们适应性方法在接近少数样本复杂系统转移功能方面的有效性。</s>