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 4 Name: ______________________________________________ Problem Set 4 is to be completed by 11:59 p.m. (ET) on Friday of Module/Week 8. 1. Movies are distributed in a variety of forms‚ not just first run theatrical presentations. What other ways are movies distributed? What are the different price points? Using this information‚ draw a fully labeled graph of the market for movies in which the distributor of the film price discriminates. (NOTE: This should not be perfect price
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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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modern information and technology-based nations and businesses vulnerable as information can be stolen from electronic storage media and transmitted in seconds without even physically removing the data. The paper attempts to examine how investors or companies could protect themselves from corporate espionage. However‚ in doing so‚ it shall also look at the historical development of espionage and examines how the advances in technology in the recent years have facilitated the act of espionage‚ and also
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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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Problem Set 3 Name: Lauren Hensley Problem Set 3 is to be completed by 11:59 p.m. (ET) on Monday of Module/Week 6. 1. Data for the market for graham crackers is shown below. Calculate the elasticity of demand between the following prices. Price of crackers Quantity Demanded (per month) $3 80 $2.5 120 $2 160 $1.5 200 $1 240 $1.00 - $1.50: -0.333 $1.50 - $2.00: -0.6 $2.00 - $2.50: -1 $2.50 - $3.00: -1.66 If the price of graham crackers is $2.50 should firms raise or lower
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• Corporate personality Artificial‚ separate legal personality Registration at Companies House Limited liability Salomon • Issues arising from separate‚ artificial legal personality A. PROMOTERS • Background • Definition - no statutory definition - 2 common law definitions • Twycross v Grant (1877) 2 CPD – someone who “undertakes to form a company with reference to a given project‚ and to set it going and… takes the necessary steps to accomplish that purpose” (Cockburn CJ)
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One: (10 points) Tom leases a farmer’s field and grows pineapples. Tom hires students to pick and pack the pineapples. The following table sets out Tom’s total product schedule. Labor (students) Total Products (pineapples/per day) 0 0 1 100 2 220 3 300 4 360 5 400 6 420 7 430 1. Calculate the marginal product of the third student; 2. Calculate the average product of three students; 3. Over what numbers of students does marginal product increase? 4. When marginal
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University of Hong Kong 1st semester 2014-15 ECON0301/ECON2252 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
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