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To avoid cycle skipping in full-waveform inversion of ground-penetrating-radar (GPR) data, we implemented a differentiable optimal-transport distance and used it within a conjugate-gradient algorithm. Here, we demonstrate this algorithm for the first time on GPR data. For this, we apply it to a simple synthetic toy example in a transmission setting and investigate the shape of the objective function with respect to algorithmic settings affecting computational costs. For future work, a more challenging and more realistic problem is planned.