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Kernels and linear discriminant analysis Suppose you wish to carry out a linear discriminant analysis (two classes) using a vector of transformations of the input variables h(x). Since h(x) is high-dimensional, you will use a regularized within-class covariance matrix Wh + γI. Show that the model can be estimated using only the inner products K(xi , xi ‘ ) = h(xi), h(xi ‘)). Hence the kernel property of support vector machines is also shared by regularized linear discriminant analysis.
In the early 2000s car makers began to design vehicles' chassis, engine, and transmissions so that different models could be produced on the same assembly line. Within the first year of implementing the plan, Ford cut production costs by $240 per ..
Here once again is the basic data on revenue and costs for each firm when Acme U.S. makes and sells a car. The table shows the initial price that Acme U.S. pays Acme Mexico, $3,000 per engine. In some problems, you will be asked to consider how thi..
Delta Software earned $10 million this year. Suppose thegrowthrate of Delta's profits and the interest rate are bothconstant and Delta will be in business forever. Determine the value of Delta Software
What is the probability of getting two reds and one blue in any order? c) What is the probability of getting three reds, given that the first marble is red? d) What is the probability of getting three primary colors (blue or red) given that the first..
Is there either a recessionary output gap (negative GDP gap) or an inflationary output gap (positive GDP gap) at the equilibrium interest rate and, if either, what is the amount There is a recessionary output OR gap inflationary output gap of $.
What would be the difference, then, between the two types of trade barriers?
For the same loan described under Q1, the individual decides that instead of selling the house after the 71st payment, to keep it and shorten the pay off period by increasing the montly payment by $150 each month. What is the number of months re..
only consume ice cream and bananas in the form of bananasplits, which i make with 3 scoops of ice cream and one banana. The price of ice cream is $.50 a scoop. Bananas are $.25 each. I have $5 dollars to spend on ice cream sundaes this week.
In an attempt to increase revenue and profits a firm is considering a 4 percent increase in price and an 11 percent increase in advertising. If the price elasticity of demand is -15 and the advertising elasticity of demand is -+0.6 would you expec..
A five-person city is debating the provision of the annual July 4th Fireworks Display that everyone in the city would be able to enjoy. The cost of providing the display is fixed at $250. The willingness to pay for the festival is given in the fol..
The demand for most new films peaks in the first few days after opening, then tapers off. Two key factors that affect potential demand are the season (Summer and Christmas are the best times) and the timing of other releases. Suppose that both Stu..
A raffle is being held at a school to raise money for the library. The organizers sell 40 tickets. They will select 4 winning tickets at random for prizes. a) How many different combinations of 4 winning tickets can there be
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