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Piecewise-polynomial signal segmentation using convex optimization

机译:基于凸优化的分段多项式信号分割

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A method is presented for segmenting one-dimensional signal whose independent segments are modeled as polynomials, and which is corrupted by additive noise. The method is based on sparse modeling, the main part is formulated as a convex optimization problem and is solved by a proximal splitting algorithm. We perform experiments on simulated and real data and show that the method is capable of reliably finding breakpoints in the signal, but requires careful tuning of the regularization parameters and internal parameters. Finally, potential extensions are discussed.
机译:提出了一种对一维信号进行分割的方法,该信号的独立段被建模为多项式,并且被加性噪声破坏。该方法基于稀疏建模,主要部分被公式化为凸优化问题,并通过近端分裂算法进行求解。我们对模拟和真实数据进行实验,结果表明该方法能够可靠地找到信号中的断点,但需要仔细调整正则化参数和内部参数。最后,讨论了潜在的扩展。

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