CS578/STAT590: Introduction to Machine Learning Fall 2014 Problem Set 1 Joon Hee Choi Handed In: 09/14/2014 Review Questions 1. 2. 3. • ∂f ∂x = 6x − y − 11‚ ∂f ∂y • ∂f ∂x = 6x − y − 11 = 0‚ = 2y − x ∂f ∂y = 2y − x = 0 ⇒ x = 2‚ y = 1 ⇒ (x‚ y) = (2‚ 1) • (a) n = 2 w1 x1 and x = . Then‚ w2 x2 wT x + b = w1 x1 + w2 x2 + b = 0 ⇒ −x1b + Let w = w1 x2 − wb =1 2 (b) n = 3 w1 x1 Let w = w2 and x = x2 . Then‚ w3 x3 T w x + b = w1 x1 + w2 x2 + w3 x3 + b = 0 ⇒ −x1b + −x2b
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PROBLEM SET 4 1) Consider the following utility functions‚ where W is wealth: (a) U (W ) = W 2 1 (b) U (W ) = W (c) U (W ) = −W (d) U (W ) = W (e) U (W ) = ln(W ) (f) U (W ) = W 1−γ ‚ with γ = 2 1−γ How likely are each of these functions to represent actual investor preferences? Why? 2) Suppose investors have preference described by the following utility function with A > 0: U = E(r) − 1 Aσ 2 2 Each investor has to choose between three portfolios with the following characteristics:
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Problem Set 1 Problem 1 Which project should the firm select? Why? Project B: Managers should try to maximize their stock’s intrinsic value while also bringing in revenue. The P/E ratio shows the dollar amount investors will pay for $1 of current earnings. Problem 2 If most investors expect the same cash flows from Companies A and B but are more confident that A’s cash flows will be closer to their expected value‚ which company should have the higher stock price? Explain. The primary
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This file contains FIN 515 Week 1 Homework Problems and Mini Case Business - Finance FIN515 Managerial Finance‚ Week 1 Assignment‚ got 30/30 Week 1 Homework Assignment Complete the following graded homework assignment in a Word document named “ FIN515_Homework1_yourname ." Show the details of your calculations/work in your answer to the problems. · Mini Case (p. 45) · Problems (p. 79) o 2-6 Statement of Retained Earnings o 2-7 Corporate Tax Liability
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Problem Set 3 Macroeconomics‚ ECON 2123 Sections L3 and L4 P. Sen Posted 9.11.14. Due 5 PM 17.11.14. ----------------------------------------------------------------------------------------------------------------------------------- 100 marks total Part I: True/False/Uncertain Please justify your answer with a short argument for each question and draw a diagram if necessary. (25 marks‚ 5 marks each: 2 marks for correct judgment and 3 marks for correct argument) 1. Suppose that workers in the Republic
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ECN171 Economy of East Asia Problem Set 1 The data for this problem set is posted on SmartSite in the Resources folder. It was downloaded from the Penn World Tables version 7.1‚ which is publicly available at https://pwt.sas.upenn.edu/php_site/pwt_index.php . 1. Graph the GDP [per capita] of the East Asian countries in PS1_data.xls on one graph. Which East Asian country is the largest [richest] in 1960? In 2010? When did the switch occur? 2. Calculate the growth rates (log difference‚ using natural
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GMB 713 PROBLEM SET NO. 2 PROBLEM SOLVING: Solve the following problems. Show all pertinent solutions. 1. A car battery dealer is trying to determine which of the brands of car battery he is selling has a longer life span. He conducted an investigation by interview his customers and was able to get the following results: Brand X Brand Y Mean life span 4.5 years 4.9 years Standard deviation
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PROBLEM SET # 1 Instructions: 1) Open book‚ open notes limited to only class materials. 2) Unlimited time. 3) This must be reflective of your individual effort. GMU Honor Code applies. 4) The Problem Set #1 (only the question solutions portion) is due at the end of the day on September 24th. 5) Show all work‚ as partial credit will be given for each question’s answer. Organize your work so it is easy to follow. You can use word‚ power point‚ excel or combinations
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Theory of International Trade Problem Set 1 Due time: 5pm September 26‚ 2014 (Friday) Answer all of the following questions. While I encourage you to discuss with your classmates‚ you have to write up your own script. Please hand it in to your TA (Miss Jiuqi Zhao) by the due time via her pageon box on the 9th ‡oor of K.K. Leung Building. 1. Suppose that Home and Foreign have the marginal product of labor shown below. Home Foreign Baseball bats 1/6 1 tennis rackets 1/2 1/4 (a) What is the opportunity
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Problem Set 1 Ben Polak‚ Econ 159a/MGT522a. Four Questions due September 19‚ 2007. 1. Strictly and Weakly Dominated Strategies? What is the de nition of a strictly dominated strategy? What is the de nition of a weakly dominated strategy? Give an example of a two-player game matrix where one player has three strategies‚ one of which is strictly dominated; and the other player has three strategies‚ one of which is weakly (but not strictly) dominated. Indicate the dominated strategies. 2. Iterative
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