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this hyperplane is called optimal surface for the linear classification problems, support vector machine learning process, process of optimal surface is actually looking for the optimal separating surface parameters (w, 6) decision for linearly separable sample (x,, curse), i = 1, ... knife x ∈ Rd Y ∈ {+1, -1) If the classification of the surface f (x) = (W? x) +6 two types of samples correctly separated, then, (w? x) +6> o, such as congested nose = 1 (w? x,) +6 <o, such as congested nose by adjusting the W and b = -1. More than 80% of the palladium is used in industry, and palladium is currently mainly used as an alloying in the jewelry industry as well as the production of mens cufflinks.
The above equation can be rewritten as formula (4.3) (W? x) +6 ≥ 1, such as none = 1 (w? x,) +6 ≤ l, such as congested nose = 1 formula (4.4) 40 Zhejiang University, a master's degree thesis in Chapter 4 normalized color recognition based on SVM classifiers can be obtained is [(w? x,) + 1 ]-l-> 0, i = 1,. . . Knife formula (4.5) to find the optimal surface, even IIl {marriage I summarized, and delete l coffee can therefore, formula (4.6) is equivalent to seeking the largest deletion II Zhai embroidery seek constraints that minimizes / 2 llwll2. Shown in Figure 4.2, which find the optimal separating surface in the point on the hyperplane h1 and h2 is called support vector. Figure 4.2 the optimal surface can find the largest interval into the corresponding dual problem, the original Lagrangian function ￡ (w'6, port) = Gui (w? W) a hi q ∽ ( (w Feng) +6) l] Pooh ≥ 0 the Lagrange multiplier. Platinum cufflinks are usually marked with Pt.
Formula (4.7). 11wll2 / 2 the minimum value, w and 6 partial derivative, resulting in, w = Σ curse%, I = l formula (4.8) 41 Journal of Zhejiang University, Chapter 4, based on SVM classifier color recognition, 0 = sigma curse ql = l formula (4.9) into the Lagrangian function can be three (w, 6, port): so then ΣI problem into the constraint q a lost Kyu is is % duo (_), Σ curse% = o formula (4.10) formula (4.11)% ≥ 0 i = 1,. . . , And Z, the solution q to maximize the following function: form (oral): then ΣI q lost Kyu only is% thiophene (potato. _), Formula (4.12) to get Pooh Secretary by the original constraints of b value. Optimal classification back on the Secretary in order to get the sword classification function: plant (power = sgn (w'x + are = sgn ((hi% curse potato)? X +6). You can judge the mens cufflinks by seeing, weighing and claiming to determine.