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• ECE662 Whitening and Coloring Transforms S14 MH
  ...atrix '''Σ'''. This is either known or it can be estimated from your data set. We assume that '''Σ''' is positive definite. We also assume wlog that ''' Then, '''Y''' is a set of <math>n</math> data points drawn from an uncorrelated bivariate Gaussian
  17 KB (2,603 words) - 10:38, 22 January 2015
• Mle tutorial
  ...="texhtml">θ</span>&nbsp;is a fixed, unknown constant<br>belonging to the set&nbsp;<math>\Theta \subset \mathbb{R}^{n}</math>. business of making predictions based on a set of solid assumptions, then we would be
  25 KB (4,187 words) - 10:49, 22 January 2015
• Introduction to local density estimation methods
  ...hich means that the density function is estimated locally based on a small set of neighboring samples. Because of this locality, local (nonparametric) den
  15 KB (2,345 words) - 10:52, 22 January 2015
• Bayes rule in practice
  ...nbsp; Let D = {x₁,x₂,...,x_N}&nbsp;to be a set of iid samples from the Gaussian distribution with μ and Σ unknown.&nbsp;
  7 KB (1,177 words) - 10:47, 22 January 2015
• Bayes Parameter Estimation
  ...ndom variable X and the parameter θ can be vector-valued. Now we obtain a set of independent observations or samples S = {x₁,x₂,... ...he distribution p(θ ). Then the probability density function of X given a set of observations S can be estimated by<br>
  15 KB (2,273 words) - 10:51, 22 January 2015
• Discussion about Discriminant Functions for the Multivariate Normal Density
  ...f the most useful method to represent pattern classifiers is in terms of a set of '''''discriminant functions ''''' <math>g_i(\mathbf{x}), i=1,2,...,c</ma
  14 KB (2,287 words) - 10:46, 22 January 2015
• Estimation Using Nearest Neighbor
  ...the infinity. We set <math>P = \lim_{n \to \infty}P_n(e)</math>. Then, we set infinite sample conditional average probability of error as <math>P(e|x)</m ...in previous section can be utilized to get the upper error bound. First we set
  14 KB (2,313 words) - 10:55, 22 January 2015
• 662slecture tang
  ...nbsp;&nbsp; &nbsp; We divide the sample data into training set and testing set. Training data is used to estimate the model parameters, and testing data i Given a data set
  9 KB (1,382 words) - 10:47, 22 January 2015
• Bayersian Parameter Estimation: Gaussian Case
  Now, assume that a set of <math>N</math> independent samples were obtained from a certain class <m ...math>\theta</math> both the information in priori and the information from set <math>\mathcal{D}</math> of n samples <math>x_1, x_2, ... , x_n</math> need
  10 KB (1,625 words) - 10:51, 22 January 2015
• Parzen Window Density Estimation
  ...e of discriminant functions as a means of classifying data. That is, for a set of classes <math> \omega_c </math>, we choose to classify a sample <math>\v
  16 KB (2,703 words) - 10:54, 22 January 2015
• Least Squares Support Vector Machine and its Applications in Solving Linear Regression Problems
  ...lambda \textbf{c}</math> also separates the data. One solution might be to set <math>|\textbf{c}|=1</math>. Another solution is to introduce a bias denote ...Other than the parameters in the optimization problem, the SVM has another set of parameters called hyperparameters, including the soft margin constant, <
  14 KB (2,241 words) - 10:56, 22 January 2015
• ECE662 roc
  ...' = 3. Column 4 - 7 gives the records counts with the threshold value''t'' set to the probability of current record. Accordingly, TPR and FPR can be compu
  11 KB (1,823 words) - 10:48, 22 January 2015
• Parzen Windows
  Given a set of training data in a region <math>\Re^n</math>, and a point <math>x_0</mat
  12 KB (2,086 words) - 10:54, 22 January 2015
• CBR logistic regression
  ...iven as <math>(x_i,y_i)</math> where i is the index number of the training set, and <math>x_i</math> is hair length in inches and <math>y_i=1</math> indic If we set the above equation to zero, there is no close form solution, so we are goin
  9 KB (1,540 words) - 10:56, 22 January 2015
• Generation of N-dimensional normally distributed random numbers from two categories with different priors
  # Prior selection : How to set priors?
  18 KB (2,852 words) - 10:40, 22 January 2015
• Maximum Likelihood Estimators and Examples
  Therefore, when both of the parameters are unknown for a set of Gaussian distributed random vector, the ML estimator of covariance matri
  19 KB (3,418 words) - 10:50, 22 January 2015
• Knearestneighbors
  ...ith corresponding labels <math> y_{1}, y_{2}, ..., y_{N} </math> from some set of <math> C </math> classes <math> w_1,w_2,...w_C</math>. Together these are often called the training set, because they are used to "train" the classifier.
  9 KB (1,604 words) - 10:54, 22 January 2015
• Slecture from KNN to nearest neighbor
  The KNN method begins with a set of labeled training data (points) in the feature space. Note that it is ess <br> Number of total points in the training set: <span class="texhtml">''N''</span> <br>
  6 KB (1,013 words) - 10:55, 22 January 2015
• MLEforGMM
  ...um value of likelihood, which means is the most likely to observe the data set samples.<br> &nbsp; Suppose we have a set of n independent and identically destributed observation samples. Then dens
  13 KB (1,966 words) - 10:50, 22 January 2015
• ECE662Selecture zhenpengMLE
  =<math>\Sigma^{-1}\sum\limits_{j=1}^{N}(x_j-\mu)</math> set to be 0 \end{bmatrix}</math> set to be 0
  11 KB (2,046 words) - 10:51, 22 January 2015
• JMSLinearClassifierSlecture
  = Set up and Tricks = There are a number of tricks that are used in the set up for LDA. The first and most important is the concatenation trick. This t
  10 KB (1,666 words) - 10:56, 22 January 2015
• SlectureDavidRunyanCS662Spring14
  ...l wish to discover some form of underlying structure in an unlabelled data set. Such a task falls under the category of unsupervised learning. ...points in multidimensional space. For example, consider the following data set:
  8 KB (1,350 words) - 10:57, 22 January 2015
• Taylor maclaurin series
  ...series which may or may not converge. The domain for this function is the set of all ''x'''s for which the series converges.
  9 KB (1,632 words) - 18:19, 27 February 2015
• Discrete-time Fourier transform Xian Zhang ECE438 slecture
  The discrete-time Fourier transform (DTFT) of a discrete set of real or complex numbers x[n] with n=all integers, is a Fourier series, w
  3 KB (515 words) - 20:02, 16 March 2015
• Ftrepcomb mattmiller
  The result of this function is a set of time-shifted impulses whose amplitudes match those of the input signal x
  4 KB (734 words) - 18:56, 16 March 2015
• Discrete-time Fourier transform Slecture by Fabian Faes
  ...above equation we can see that if we were to have <math>{\omega}</math> be set to <math>{\omega}_{o}</math> we get
  5 KB (862 words) - 20:02, 16 March 2015
• Nyquist Michael Hayashi ECE438 slecture
  Using the Nyquist condition to set the sampling period <math>T</math>:<br><math>\frac{1}{T} > 2f_M \ or \ T <
  10 KB (1,650 words) - 19:04, 16 March 2015
• Slecture Topic 7 Ryan
  ...ed signal. Essentially, the comb is grabbing points on the graph x(t) at a set interval, T. <math>
  2 KB (335 words) - 09:57, 14 March 2015
• ECE438HonorsContractFST
  ...a specific <math>\theta</math>. Repeating over many <math>\theta</math>, a set of data like that shown in Figure 2 will be obtained. All the data will be
  8 KB (1,252 words) - 19:26, 9 February 2015
• ECE PhD QE CNSIP 2001 Problem1.4
  Let <math class="inline">\left\{ t_{k}\right\}</math> be the set of Poisson points corresponding to a homogeneous Poisson process with param
  4 KB (700 words) - 17:48, 13 March 2015
• ECE PhD QE CNSIP 2003 Problem1.1
  This question is a set of short-answer questions (no proofs): 1. The set <math class="inline">\left\{ \mathbf{X}\leq x\right\}</math> is an event
  2 KB (287 words) - 00:52, 10 March 2015
• ECE PhD QE CNSIP Jan 2004 Problem1.2
  ...ex as a function of <math class="inline">q</math> (the probability that a set of twins are identical.)
  1 KB (187 words) - 01:03, 10 March 2015
• ECE PhD QE CNSIP 2004 Problem1.1
  ...h> . The event space <math class="inline">\mathcal{F}</math> is the power set of <math class="inline">\mathcal{S}</math> , and the probability measure <m
  4 KB (698 words) - 01:35, 10 March 2015
• 2015 Summer Cryptography Paar Introduction to Cryptography Kathryn Marsh and Divya Agarwal
  An '''equivalence class''' is the set of numbers that are all equivalent under modulo operation. In the above exa ...es for the modulus 4. This means we are living in a universe which is this set {0,1,2,3}.
  6 KB (886 words) - 05:16, 24 June 2015
• 2015 Summer Cryptography Paar Introduction to Galois Fields for AES Katie Marsh
  Finite Field/Galois Field: a finite set together with operations + and * with the following properties: 1. The set forms an additive group with neutral element 0
  6 KB (1,012 words) - 11:15, 29 June 2015
• 2015 Fall MA 375 Walther
  ...he question does not say what set the equation is under. I assume that the set is under all natural numbers greater than or equal to 1 since excluding the
  7 KB (1,244 words) - 09:36, 18 December 2015
• Auto tune project ECE438F15
  ...is to create a set of target notes in order of their occurrence. How this set is formatted is based on the windowing size and tempo. These concepts will ...s for a 1 second long note, ten of that note are needed in the target note set. These windows are examined to determine the energy of the window, the numb
  9 KB (1,777 words) - 23:23, 21 November 2015
• FFT- BFSK case study ECE438F15
  T_sampling = 0.001; % set according to parameters in modulation scheme
  4 KB (546 words) - 19:34, 29 November 2015
• 2015 Fall ECE 438 Boutin A visual explanation of aliasing and repetition with the DTFT Erik Swan
  ...signal, we would get impulses at -1Hz and 1Hz. There is no other possible set of frequencies that can produce the above signal. If asked to draw a function to fit the discrete set of points, most people will draw the 1Hz cosine above. This is not incorrec
  12 KB (2,004 words) - 20:37, 2 December 2015
• Application of FFT - How to build an equalizer
  a = 0.3; % set the attenuation factor D = delay*fs; % set the delay time in s
  2 KB (362 words) - 22:18, 29 November 2015
• Adding sound effects to your music
  a = 0.3; % set the attenuation factor D = delay*fs; % set the delay time in s
  3 KB (405 words) - 23:49, 29 November 2015
• ECE PhD QE CNSIP 2015 Problem1.2
  We know that <math>Z(t)</math> can only take on the values 0 and 1, so we set out to find the probability that <math>Z(t)</math> = 0; if we subtract this
  6 KB (973 words) - 00:57, 1 February 2016
• Walther MA279 Spring2016 topic5
  ...ot form a circle and also with the minimize cost to join the selected edge set. (A Tree is a connected graph with no cycle) ...to our selected edge set we consider if it will cause a circle of the edge set.
  10 KB (1,524 words) - 23:36, 24 April 2016
• Walther MA279 Spring2016 topic1
  ...he solved this problem by his theorem, which is also in his paper, "For a set of added edges it is necessary and sufficient to be an optimal solution for
  9 KB (1,403 words) - 20:45, 24 April 2016
• Walther MA279 Spring2016 topic4
  A social network is a social structure that made up of a set of nodes (individuals or organizations) connected by edges (relationships). A graph is a set of nodes and a set of links.<br />
  14 KB (2,465 words) - 20:07, 24 April 2016
• Walther MA279 Spring2016 topic10
  Lastly, we cannot have a set of precedence relations that form a cycle. In other words, we cannot have ( •''Project''-A set of tasks to be completed
  7 KB (1,196 words) - 21:33, 24 April 2016
• Walther MA279 Spring2016 topic2
  A set of these particles is known as the ''swarm'' and they will all exist inside Set the position as a random point inside the search space
  14 KB (2,177 words) - 11:28, 24 April 2016
• ECE PhD QE CE 2015 Problem1.4
  ...t until all vertices have been visited). If we are able to find a spanning set of the graph without using one environmentally impactful edge, we are done. ...e of its vertices is in the current tree and add it back into the modified set; if the graph is now spanned, we are done. If the graph is still not spanne
  5 KB (975 words) - 22:15, 7 March 2016
• Bayes error MATLAB code joe
  % This code tests BayesErrorMonteCarlo.m using a data set with known
  3 KB (392 words) - 18:50, 11 February 2016
• Walther MA279 Spring2016 topic8
  * ''Arc-set'': A list of all the arcs in a digraph. ...one point and a loss counts as no points. This is achieved by sorting the set of outdegrees in nondecreasing order.
  6 KB (1,066 words) - 13:06, 24 April 2016