Search results for "3 Cases" - Rhea

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• Test
  ...the Chernoff distance in the case of Normally distributed data. In section 3.2, some examples for the Chernoff bound are provided. ...\Re Prob \big(error \mid x\big) \rho \big(x\big) dx \text{......Eq.(2.3)}
  17 KB (2,590 words) - 09:45, 22 January 2015
• Laplace Transforms Table
  \begin{cases} \end{cases} </math>
  29 KB (4,474 words) - 12:58, 22 May 2015
• PowerSeriesFormulas
  |<math> \sin x \ = \ x \ - \ \frac{x^3}{3!} \ + \ \frac{x^5}{5!} \ - \ \frac{x^7}{7!} \ + \ \cdots, \quad \text{ for ...+ \binom{n}{1} a^{n-1}x + \binom{n}{2} a^{n-2}x^2 + \binom{n}{3} a^{n-3}x^3 + \ldots + x^n \\
  15 KB (2,182 words) - 17:14, 27 February 2015
• Partial Fraction Expansion
  There are four cases that arise which one must consider: <b> Case 3 </b>: Denominator contains irreducible quadratic factors, none of which is
  4 KB (602 words) - 12:49, 3 March 2015
• Table of indefinite quadratic
  \begin{cases} \end{cases} </math>
  8 KB (1,517 words) - 16:56, 26 February 2015
• ECE PhD QE CNSIP 2001 Problem1.3
  '''3. (30 Points)''' <math class="inline">cov\left(\mathbf{X}_{j},\mathbf{X}_{k}\right)=\begin{cases}
  5 KB (928 words) - 16:46, 13 March 2015
• Z Transform table
  ! style="background: none repeat scroll 0% 0% rgb(238, 238, 238);" colspan="3" | (double-sided) [[info_z-transform|Z Transform]] and its Inverse \begin{cases}
  7 KB (1,018 words) - 07:55, 6 March 2015
• Compute z-transform u n ECE301S11
  &= \begin{cases} \frac{1}{1-\frac{1}{z}}, & |z| > 1 \\ diverges, & else \end{cases} === Answer 3 ===
  3 KB (431 words) - 08:09, 4 March 2015
• ECE PhD QE CNSIP 2001 Problem1
  '''Part 3.''' '''3. (30 Points)'''
  5 KB (780 words) - 00:25, 9 March 2015
• ECE-QE CS1-2011
  '''Part 3.''' 25 pts ...E-QE_CS1-2011_solusion-3|here]] to view student [[ECE-QE_CS1-2011_solusion-3|answers and discussions]]'''
  4 KB (547 words) - 15:40, 30 March 2015
• ECE-QE CS5-2011 solusion-2
  3. \text{ Multiply step 2 by the filter } H(\rho) = |\rho| = f_c \left [ rect 4. \text{ Compute inverseFT of step 3.}
  17 KB (2,783 words) - 00:51, 31 March 2015
• Mutually Inductive Circuits
  Fig. 3 ...rious if such a configuration was possible. Observing that there are only 3 binary variables, a binary table can be constructed by consulting the sign
  3 KB (474 words) - 14:17, 1 May 2016
• Jacobian
  ...he elements of the output vector and '''x₁,x₂, x₃''' ... are each of the elements of the input vector. ==== Example #3: ====
  18 KB (2,894 words) - 11:17, 3 March 2015
• ECE-QE CS1-2012
  '''Problem 3.''' 25 pts <math class="inline">f_{X}\left(x\right)=\begin{cases}
  3 KB (449 words) - 20:36, 5 August 2018
• Upper Bounds for Bayes Error
  ...und''' is one such upper bound which is reasonably easy to compute in many cases. Therefore we will present this bound, and then discuss a few results that ...math> belongs in class <math> 1 </math>, and vise versa. Although, in many cases calculating <math>\rho(\omega_i | x)</math> is impossible, or extremely dif
  13 KB (2,062 words) - 09:45, 22 January 2015
• Bayes Rule for 1-dimensional and N-dimensional feature spaces
  ...e classification task with examples, and how we can derive it in different cases. The following sections describe two cases of classification. One is where data exist in 1-dimensional feature space a
  19 KB (3,255 words) - 09:47, 22 January 2015
• SlectureKeehwanECE662Spring14
  ==Part 3: Examples of MLE (Analytically Tractable Cases)== ...3-statistics-for-applications-fall-2006/lecture-notes/lecture3.pdf Lecture 3: Properties of MLE: consistency, asymptotic normality. Fisher information],
  3 KB (427 words) - 09:50, 22 January 2015
• Mle tutorial
  ...r>the following probability mass functions for each of the above mentioned cases:'''<br>''' <math>Pr(H = 49 | p = {1}/{3}) = \binom{80}{49}(1/3)^{49}(1 - 1/3)^31 \approx 0.000</math><br>
  25 KB (4,187 words) - 09:49, 22 January 2015
• Bayes Rule Minimize Risk Dennis Lee
  Then we provide examples for the cases of 1D and 2D features, and we derive Bayes rule for minimizing risk in these cases.
  12 KB (1,810 words) - 09:46, 22 January 2015
• KnnDensityEstimation
  ...timation states that, for N Observations x₁,x₂,x₃,...,x_n the density at a point x₀ can be approxi The above claim is true only in cases where the window function <math>\phi</math> defines a region R with well de
  10 KB (1,743 words) - 09:54, 22 January 2015
• Discussion about Discriminant Functions for the Multivariate Normal Density
  [[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) - 09:46, 22 January 2015
• Estimation Using Nearest Neighbor
  ...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) - 09:55, 22 January 2015
• ParzenWindow
  ...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) - 09:53, 22 January 2015
• Parzen Window Density Estimation
  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) - 09:54, 22 January 2015
• Least Squares Support Vector Machine and its Applications in Solving Linear Regression Problems
  <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) - 09:56, 22 January 2015
• ECE662 roc
  == '''&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) - 09:48, 22 January 2015
• Parzen Windows
  <math>\phi(x) = \rho(x_1,x_2,...,x_n) = \begin{cases} \end{cases}</math>
  12 KB (2,086 words) - 09:54, 22 January 2015
• CBR logistic regression
  \begin{cases} \end{cases}
  9 KB (1,540 words) - 09:56, 22 January 2015
• Derivation of Bayes rule Anonymous7
  * 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) - 09:42, 22 January 2015
• Maximum Likelihood Estimators and Examples
  ...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) - 09:50, 22 January 2015
• MLEforGMM
  === <br> 3. Practice considerations === ==== 3.1 Log-likelihood ====
  13 KB (1,966 words) - 09:50, 22 January 2015
• SlectureDavidRunyanCS662Spring14
  <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) - 09:57, 22 January 2015
• Upsampling Slecture Molveraz
  \begin{cases} \end{cases}
  5 KB (790 words) - 09:01, 14 March 2015
• Upsampling
  <font size = 3>The purpose of Upsampling is to manipulate a signal in order to artificiall <font size = 3>
  3 KB (565 words) - 09:01, 14 March 2015
• InverseZtransform
  ...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) - 17:11, 23 February 2015
• QE2013 AC-3 ECE580-3
  =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) - 11:19, 25 March 2015
• QE2013 AC-3 ECE580-5
  ...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) - 11:22, 25 March 2015
• Table of indefinite integrals ch
  | <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) - 16:44, 26 February 2015
• Table of indefinite integrals x inverse
  | <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) - 16:52, 26 February 2015
• Table of indefinite integrals inversecircularfunctions
  |<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) - 16:05, 26 February 2015
• Table of indefinite integrals exponential
  ...rac {ax}{1 \cdot 1!} + \frac {(ax)^2}{2 \cdot 2!} + \frac {(ax)^3}{3 \cdot 3!} + \cdot \cdot \cdot +C</math> \begin{cases}
  3 KB (513 words) - 16:09, 26 February 2015
• Table of indefinite integrals sh
  | <math> \int x^{2} sh ax dx=(\dfrac{x^{2}}{a^{2}}+\dfrac{2}{a^{3}}) ch ax-\dfrac{2x}{a^{2}} sh ax +C</math> | <math> \int\dfrac{sh ax}{x} dx=ax+\dfrac{(ax)^{3}}{3\cdot3!}+\dfrac{(ax)^{5}}{5\cdot5!}+\cdots +C</math>
  7 KB (1,378 words) - 16:42, 26 February 2015
• Table of indefinite integrals axplusb and pxplusq
  \begin{cases} \end{cases} </math>
  4 KB (826 words) - 17:06, 26 February 2015
• Table of indefinite integrals axplusb
  ...{ ax + b} = \frac {(ax+b)^2}{2a^3} - \frac {2b(ax+b) }{a^3} + \frac{b^2}{a^3} \ln (ax +b)+C</math> ...{3a^4} - \frac {3b(ax+b)^2 }{2a^4} + \frac{3b^2(ax+b)}{a^4} - \frac{b^3}{a^3}\ln (ax +b)+C</math>
  7 KB (1,373 words) - 17:07, 26 February 2015
• Table of indefinite integrals cosine sine
  ...h> \int x^2 \sin a x d x = \frac {2 x}{a^2} \sin a x + \left ( \frac {2}{a^3} - \frac {x^2}{a} \right)\cos a x +C</math> ...}{a^2} - \frac{6}{a^4}\right)\sin a x + \left ( \frac {6x}{a^3} - \frac {x^3}{a} \right)\cos a x +C</math>
  14 KB (2,809 words) - 15:12, 26 February 2015
• ECE PhD QE CNSIP 2002 Problem1.4
  ...that the distribution of stars within a galaxy is accurately modeled by a 3-dimensional homogeneous Poisson process for which the following two facts a ...ius }r\right\} \right)</math><math class="inline">=1-e^{-\frac{4}{3}\pi r^{3}\lambda}.</math>
  2 KB (384 words) - 23:22, 9 March 2015
• ECE PhD QE CNSIP 2008 Problem1.1
  ...ing i.i.d , <math class="inline">\mathbf{X}_{1},\mathbf{X}_{2},\mathbf{X}_{3},\cdots</math> each have finite mean <math class="inline">\mu</math> , and <math class="inline">E\left[\mathbf{X}_{i}\mathbf{X}_{j}\right]=\begin{cases}
  4 KB (699 words) - 10:08, 10 March 2015
• Unidirectional Laplace Transform Table
  \begin{cases} \end{cases} </math>
  29 KB (4,417 words) - 14:53, 12 March 2015
• ECE-QE CS1-2011 solusion-4
  ...n-1|Part 1]],[[ECE-QE_CS1-2011_solusion-2|2]],[[ECE-QE_CS1-2011_solusion-3|3]] \begin{cases}
  8 KB (1,336 words) - 00:53, 31 March 2015
• HW3ECE438F15 Soln
  =[[HW3ECE38F15|Homework 3]] Solution, [[ECE438]], [[2015_Fall_ECE_438_Boutin|Fall 2015]], [[user:mbou ==Question 3==
  7 KB (1,181 words) - 18:17, 19 October 2015