A tutorial arguing that the Galois group and the Galois-width invariant characterize the intrinsic algebraic difficulty of minimal problems, with numerical monodromy code for the five-point problem.
A Generative Adversarial Approach To ECG Synthesis And Denoising
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abstract
Generative Adversarial Networks (GAN) are known to produce synthetic data that are difficult to discern from real ones by humans. In this paper we present an approach to use GAN to produce realistically looking ECG signals. We utilize them to train and evaluate a denoising autoencoder that achieves state-of-the-art filtering quality for ECG signals. It is demonstrated that generated data improves the model performance compared to the model trained on real data only. We also investigate an effect of transfer learning by reusing trained discriminator network for denoising model.
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Numerically Computing Galois Groups of Minimal Problems
A tutorial arguing that the Galois group and the Galois-width invariant characterize the intrinsic algebraic difficulty of minimal problems, with numerical monodromy code for the five-point problem.