Chapter 3 Assouad ’ s method
نویسنده
چکیده
Assouad’s method provides a somewhat different technique for proving lower bounds. Instead of reducing the estimation problem to a multiple hypothesis test or simpler estimation problem, as with Le Cam’s method and Fano’s method from the preceding lectures, here we transform the original estimation problem into multiple binary hypothesis testing problems, using the structure of the problem in an essential way. Assouad’s method applies only problems where the loss we care about is naturally related to identification of individual points on a hypercube.
منابع مشابه
Conformal Assouad Dimension and Modulus
Let α ≥ 1 and let (X, d, μ) be an α-homogeneous metric measure space with conformal Assouad dimension equal to α. Then there exists a weak tangent of (X, d, μ) with uniformly big 1-modulus.
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