A lower bound on dimension reduction for trees in \ell_1
نویسندگان
چکیده
There is a constant c > 0 such that for every ε ∈ (0, 1) and n > 1/ε, the following holds. Any mapping from the n-point star metric into l1 with bi-Lipschitz distortion 1 + ε requires dimension d > c log n ε log(1/ε) .
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ورودعنوان ژورنال:
- CoRR
دوره abs/1302.6542 شماره
صفحات -
تاریخ انتشار 2013