• [[Category:3 Cases]] ...i)-\frac{d}{2} \ln 2\pi -\frac{1}{2}\ln |\mathbf{\Sigma}_i|+\ln P(w_i)~~~~(3)
    14 KB (2,287 words) - 10:46, 22 January 2015
  • ...guarantee that sufficient number of samples are used for training. In some cases, small sample sizes could lead to an accidental characteristics where it wi ...) \geq D(\vec{x_{1}},\vec{x_{3}}), \forall \vec{x_{1}},\vec{x_{2}},\vec{x_{3}} \in S</math>
    14 KB (2,313 words) - 10:55, 22 January 2015
  • ...ocally estimate density function by a small number of neighboring samples [3] and therefore show less accurate estimation results. In spite of their acc and displayed in Figure 1(a) and 1(b) below such cases where <math>d</math> = 1 and <math>d</math> = 2, respectively.
    11 KB (1,824 words) - 10:53, 22 January 2015
  • In both cases, it seems that one could be well-served to try to construct a p.d.f. based ...p(\vec{X})</math> goes to infinity as ''V'' goes to zero. Neither of these cases is helpful in our search for the true <math>p(\vec{X})</math>.
    16 KB (2,703 words) - 10:54, 22 January 2015
  • <br>&nbsp; &nbsp;In most cases when n&gt;p, it is impossible to find a solution for <math>\textbf{c}</math ...above three kernel functions. The classfications are illustrated in Fig.1~3. The parameters are tuned by cross-validation. The mis-classification rates
    14 KB (2,241 words) - 10:56, 22 January 2015
  • == '''&nbsp;3. A quick example about ROC in binary classification'''<sup>'''[2]&nbsp;'''< ...e are 3 records in class ''C1'' and 3 in ''C2'', i.e.''P'' = 3 and ''N'' = 3. Column 4 - 7 gives the records counts with the threshold value''t'' set to
    11 KB (1,823 words) - 10:48, 22 January 2015
  • <math>\phi(x) = \rho(x_1,x_2,...,x_n) = \begin{cases} \end{cases}</math>
    12 KB (2,086 words) - 10:54, 22 January 2015
  • \begin{cases} \end{cases}
    9 KB (1,540 words) - 10:56, 22 January 2015
  • * Derivation of Bayes' rule in discrete and continuous cases. ...will consider the derivation of Bayes rule both in discrete and continues cases.
    7 KB (1,106 words) - 10:42, 22 January 2015
  • ...h>\theta</math> may occur, and needs to guarantee good performance for all cases, then the ML estimator is usually a good choice. =Example 3: pD Gaussuan, <math>(\mu,R)</math> unknown=
    19 KB (3,418 words) - 10:50, 22 January 2015
  • === <br> 3. Practice considerations === ==== 3.1 Log-likelihood ====
    13 KB (1,966 words) - 10:50, 22 January 2015
  • <center>[[Image:runyan3.jpg|frame|none|alt=Alt text|<font size= 4> '''Figure 3''' </font size>]] </center> <br /> # Repeat steps 2 and 3 until the value of <math>J</math> no longer changes
    8 KB (1,350 words) - 10:57, 22 January 2015
  • \begin{cases} \end{cases}
    5 KB (790 words) - 10:01, 14 March 2015
  • <font size = 3>The purpose of Upsampling is to manipulate a signal in order to artificiall <font size = 3>
    3 KB (565 words) - 10:01, 14 March 2015
  • ...solely on the 'r' value that is contained in 'z'. The ROC is one of three cases; :3. The ROC is the space in between two circles centered at the origin.
    6 KB (1,019 words) - 18:11, 23 February 2015
  • =QE2013_AC-3_ECE580-3= ...3_AC-3_ECE580-1|Part 1]],[[QE2013_AC-3_ECE580-2|2]],[[QE2013_AC-3_ECE580-3|3]],[[QE2013_AC-3_ECE580-4|4]],[[QE2013_AC-3_ECE580-5|5]]
    8 KB (1,016 words) - 12:19, 25 March 2015
  • ...3_AC-3_ECE580-1|Part 1]],[[QE2013_AC-3_ECE580-2|2]],[[QE2013_AC-3_ECE580-3|3]],[[QE2013_AC-3_ECE580-4|4]],[[QE2013_AC-3_ECE580-5|5]] ...iplier approach, which is more complicated but would apply to more general cases. Solution 1 is not as general but is simpler for the given problem. They
    2 KB (330 words) - 12:22, 25 March 2015
  • | <math> \int x^{2} ch ax dx=(\dfrac{x^{2}}{a^{2}}+\dfrac{2}{a^{3}}) sh ax-\dfrac{2x}{a^{2}} ch ax +C</math> ...int\dfrac{dx}{(ch ax+1)^{2}}=\dfrac{1}{2a}th\dfrac{ax}{2}-\dfrac{1}{6a}th^{3}\dfrac{ax}{2} +C</math>
    8 KB (1,479 words) - 17:44, 26 February 2015
  • | <math> \int\arg ch\dfrac{a}{x}dx=\begin{cases} ...{x}+\arcsin\dfrac{x}{a}}{x\arg ch\dfrac{a}{x}-\arcsin\dfrac{x}{a}} & .\end{cases} +C</math>
    3 KB (624 words) - 17:52, 26 February 2015
  • |<math> \int x^2 \arcsin \frac {x }{ a}dx = \frac{x^3}{3}\arcsin \frac {x}{a} + \frac {\left( x^2+2a^2 \right) \sqrt { a^2-x^2 }}{9} ...ot 3}+ \frac{1 \cdot 3(x/a)^5}{2 \cdot 4 \cdot 5 \cdot 5} + \frac {1 \cdot 3 \cdot 5 (x/a)^7}{2 \cdot 4 \cdot 6 \cdot 7 \cdot 7} + \cdot \cdot \cdot +C<
    8 KB (1,433 words) - 17:05, 26 February 2015

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Ryne Rayburn