Sparse Polynomial Approximation of High-Dimensional Functions Owen Elliot-Kugell Ethics and Values in Theory

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Sparse Polynomial Approximation of High-Dimensional Functions Owen Elliot-Kugell Ethics and Values in TheoryOver seventy years ago, Richard Bellman coined the term "the curse of dimensionality" to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high dimensional functions in real world applications, have led to a lengthy, focused research effort on high dimensional approximation that is, the development of methods for approximating functions of many variables accurately and