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Machine Learning 3. Nearest Neighbor and Kernel Methods - ISMLL

Machine Learning 3. Nearest Neighbor and Kernel Methods - ISMLL

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<strong>Machine</strong> <strong>Learning</strong> / <strong>3.</strong> Parzen Windows<br />

<strong>Kernel</strong>s<br />

K(x,0)<br />

0.0 0.2 0.4 0.6 0.8<br />

Tri−cube<br />

Epanechnikov<br />

Gaussian<br />

−3 −2 −1 0 1 2 3<br />

x<br />

Lars Schmidt-Thieme, Information Systems <strong>and</strong> <strong>Machine</strong> <strong>Learning</strong> Lab (<strong>ISMLL</strong>), Institute BW/WI & Institute for Computer Science, University of Hildesheim<br />

Course on <strong>Machine</strong> <strong>Learning</strong>, winter term 2007 40/48<br />

<strong>Machine</strong> <strong>Learning</strong> / <strong>3.</strong> Parzen Windows<br />

Example / Epanechnikov <strong>Kernel</strong>, λ = 0.2<br />

y<br />

−1.0 −0.5 0.0 0.5 1.0 1.5<br />

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0.0 0.2 0.4 0.6 0.8 1.0<br />

x<br />

Lars Schmidt-Thieme, Information Systems <strong>and</strong> <strong>Machine</strong> <strong>Learning</strong> Lab (<strong>ISMLL</strong>), Institute BW/WI & Institute for Computer Science, University of Hildesheim<br />

Course on <strong>Machine</strong> <strong>Learning</strong>, winter term 2007 41/48

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