Probability Paper David E. Nelson QNT/561 February 14‚ 2013 Professor Minh Bui Probability Paper My friends suggested that we take a hiking trip through South America this year. The reason for such a trip was to celebrate 16 years of close friendship. The four of us had known each other since we were in middle school and have since become inseparable. Even though we all lead very different lives and have even started our own families‚ we always manage to find time to spend with each other
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Bayesian Probabilistic Matrix Factorization using Markov Chain Monte Carlo Ruslan Salakhutdinov rsalakhu@cs.toronto.edu Andriy Mnih amnih@cs.toronto.edu Department of Computer Science‚ University of Toronto‚ Toronto‚ Ontario M5S 3G4‚ Canada Abstract Low-rank matrix approximation methods provide one of the simplest and most effective approaches to collaborative filtering. Such models are usually fitted to data by finding a MAP estimate of the model parameters‚ a procedure that can be
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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATME/SP2/ENG/TZ1/XX 22077304 mathematics staNDaRD level PaPeR 2 Tuesday 8 May 2007 (morning) 1 hour 30 minutes INSTRUcTIONS TO cANDIDATES not open this examination paper until instructed to do so. Do Answer all the questions. Unless otherwise stated in the question‚ all numerical answers must be given exactly or correct to three significant figures. 2207-7304 8 pages © IBO 2007 http://www
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DATA MINING FOR POTENTIAL CUSTOMERS: East – West Airlines/Telcon Jermaine Paul 12/12/2013 BUSINESS PROBLEM East-West Airlines (EA) is entering into partnership with the cellular service provider‚ Telcon‚ by marketing their service through direct mail. In order to achieve this‚ EA dataset is provided to categorize their customers to identify which ones would be likely to purchase Telcon’s services through direct mail. If the accurate categorization is done the partnership will save
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CS 486/686 Fall 2012 Assignment 2 Solutions March 1‚ 2014 Question 2a 1 Question 2b Part I - Prior Probability P r(f raud) = P r(f raud|trav)P r(trav) + P r(f raud|¬trav)P r(¬trav) = 0.01 ∗ 0.05 + 0.004 ∗ 0.95 = 0.0043 Part II - Posterior Probability OC t f f1 (OC) = P r(OC) 0.7 0.3 T rav t f t f f2 (F raud‚ T rav) = P r(F raud|T rav) 0.01 0.004 0.99 0.996 T rav t f f3 (T rav) = P r(T rav) 0.05 0.95 OC t f f4 (OC) = P r(crp|OC) 0.1 0.001
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1. Show that the points (0‚ 0) and on the curve e(x + y) = cos (xy) have a common tangent. (Total 7 marks) 2. The curve C has equation y = . (a) Find the coordinates of the points on C at which = 0. (4) (b) The tangent to C at the point P(1‚ 2) cuts the x-axis at the point T. Determine the coordinates of T. (4) (c) The normal to C at the point P cuts the y-axis at the point N. Find the area of triangle PTN. (7) (Total 15 marks) 3. The function f is defined by f(x) =
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ıM10/5/MATME/SP1/ENG/TZ1/XX 22107303 mathematics staNDaRD level PaPeR 1 Wednesday 5 May 2010 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all of Section A in the spaces provided. Section B: answer all of Section B on the answer sheets provided. Write your session number on each answer
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To find the equation of a tangent to a curve: 1) find the derivative‚ 2) find the gradient‚ m‚ of the tangent by substituting in the x-ccordinate of the point; 3) use one of the following formulae to get the equation of the tangent: EITHER y = mx + c OR To find the equation of a normal to a curve: 1) find the derivative ; 2) Substitute in the x-coordinate of the point to find the value of the gradient there. 3) the gradient of the normal is . 4) Use one of the following formulae to get
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Maxima and Minima First Derivative Test 1) We are given the function First‚ we find the derivative: We set the derivative equal to 0 and solve: Since the domain of f is the same as the domain of f’‚ 4 is the only critical number of f. Testing: x < 4 | f’(0) = -8 | f is decreasing | x > 4 | f’(5) = 2 | f is increasing | By the First Derivative Test‚ x = 4 is a local minimum. 2) We are given the function First‚ we find the derivative: We set the derivative
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Lab: Momentum Conservation Abstract This experiment aims to test the law of conservation of momentum by using cart and track system. Procedure 1. Put two carts onto the track. 2. Hit the button on the cart so that they start to move at opposite directions. 3. Find the position where the carts hit the end at the same time. 4. Find the distance that each cart traveled. 5. Repeat step 1-4 with 500g and 1000g weights on one of the carts. Data and Calculation m1m2=x2x1
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