CPSC 320 Sample Final April, 2016 Name: Student ID: Signature: – You have 2.5 hours to write the 9 questions on this examination. A total of 140 marks are available. – Justify all of your answers. – You are allowed to bring in three hand-written or printed, double-sided 8.5x11in sheet of notes, and nothing else. […]
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Problem 1.6 Multivariate Gaussian (a) The multivariate Gaussian distribution is N (x|μ, ⌃) = 1 exp ⇢ 1 (x μ)T ⌃1 (x μ) . 2 (S.158) CS5487 Problem Set Solutions – Tutorials (1-5) Antoni Chan Department of Computer Science City University of Hong Kong Tutorial Problems (1-5) (2⇡)d/2 |⌃|1/2 Assuming a diagonal covariance matrix, ⌃
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CPSC 320 Learning Goals Course-level Learning Goals At the end of the course, a student will be able to: 1. Recognize which algorithm design technique(s), such as divide and conquer, prune and search, greedy strategies, or dynamic programming was used in a given algorithm. 2. Select and judge several promising paradigms and/or data structures (possibly
Problem 7.1 CS5487 Problem Set 7 Linear Dimensionality Reduction Antoni Chan Department of Computer Science City University of Hong Kong Dimensionality Shell of a hypersphere Consider a hypersphere S1 of radius r in Rd, and its shell of thickness ✏. The shell can be defined as the region between S1 and another hypersphere S2 with
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CPSC 320: Steps in Algorithm Design and Analysis Solutions* This is a continuation of the previous worksheet, where we will examine a proof of correctness of the Gale-Shapley algorithm dierent from that presented in the textbook. Try not to look at the textbook while working on this worksheet. Step 6: Proving the correctness of the
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Complex Dynamical Networks: Lecture 2: Network Topologies — Basic Models and Properties EE 6605 Instructor: G Ron Chen Most pictures on this ppt were taken from un-copyrighted websites on the web with thanks Regular Networks (a) Fully-connected network (b) Ring-shaped coupled network (c) Star-shape coupled network Regular Networks Fractal Network Lattice Basic Properties of Regular
* CPSC 320: DP in 2-D The Longest Common Subsequence of two strings A and B is the longest string whose letters appear in order (but not necessarily consecutively) within both A and B. For example, the LCS of computer science and mathematics is the length 5 string mteic (computer science and mathematics). Biologists: If
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CPSC 320 Sample Final Examination December 2010 Name: Student ID: Signature: – You have 2.5 hours to write the 8 questions on this exami- nation. A total of 100 marks are available. – Justify all of your answers, except if the question says not to. – No notes or electronic equipment are allowed, except for
Problem 4.1 CS5487 Problem Set 4 Mixture models and the EM algorithm Antoni Chan Department of Computer Science City University of Hong Kong Mixture models Mean and variance of a mixture model Consider a d-dimensional vector r.v. x with a mixture distribution given by cov(x) = ⇡j(⌃j + μjμTj ) E[x]E[x]T . (4.2) j=1 XK
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CPSC 320: Steps in Algorithm Design and Analysis Solutions* In this worksheet, you will practice ve useful steps for designing and analyzing algorithms, starting from a possibly vague problem statement. These steps will be useful throughout the class. They could also be useful when you nd yourself thinking on your feet in an interview situation.