COMS 4771 : Homework 2 Solution
نویسنده
چکیده
f(x) = { 1 if wx+ b > 0, −1 otherwise. Consider d+1 points x = (0, ..., 0) , x = (1, 0, ..., 0) , x = (0, 1, ..., 0) , ..., x = (0, 0, ..., 1) . After these d+1 points being arbitrarily labeled: y = (y0, y1, ..., yd) T ∈ {−1, 1}. Let b = 0.5 · y0 and w = (w1, w2, ...wd) where wi = yi, i ∈ {1, 2, ..., d}. Thus f(x) can label all these d+ 1 points correctly. So the VC dimension of perceptron is at least d+ 1.
منابع مشابه
Coms 6998-3: Sub-linear Algorithms in Learn- Ing and Testing
Reminder: Homework problem due on April 30 th .
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