Sparse modeling is an emerging field in applied mathematics. It is a collection of fundamental theories, optimization methods, and practical applications. We believe this field provides new efficient approaches for many applications, and will be a standard methodology in a near future. In the following three articles, we show a part of the projects "Initiative for high-dimensional data-driven science based on sparse modeling" (MEXT grant-in-aid for scientific research on innovative areas, 2013-2018). In the present article, we explain the idea of sparse modeling.
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