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4F13 Machine Learning: Coursework #2: Probabilistic Ranking Carl Edward Rasmussen & Zoubin Ghahramani Due: 4pm February 28th, 2013 to Laura Reed, room BNO-37 In this assignment, you’ll be using the (binary) results of

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1995 Paper 5 Question 9 Logic and Proof Describe the main features and applications of ordered binary-decision diagrams (OBDDs). [3 marks]

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2001 Paper 9 Question 10 Information Theory and Coding (a) (i ) Construct an efficient, uniquely decodable binary code, having the prefix property and having the shortest possible average code length per symbol, for an

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1998 Paper 5 Question 10 Logic and Proof Construct an ordered binary decision diagram (OBDD) for the formula [(P → Q) ∧ (¬R ∨ ¬Q)] → ¬R, showing each step carefully. What does the OBDD tell us about whether t

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1998 Paper 8 Question 11 Information Theory and Coding Consider a binary symmetric communication channel, having source alphabet X = {0, 1} with probabilities {0.5, 0.5}. Its output alphabet is Y = {0, 1} and its channe

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2002 Paper 3 Question 1 Compiler Construction (a) Give a diagram showing the phases of a typical compilation system for a language like C which produces a directly executable fully-linked binary file as output. For each

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1997 Paper 6 Question 5 Programming in C and C++ Write a declaration of a C++ class that might be used to implement a binary tree with each node able to hold an integer. Your implementation (i.e. the class itself and th

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1997 Paper 5 Question 10 Logic and Proof Using binary predicate symbols EQ (=) and LT (<) and binary function symbols SUM (+) and PROD (×), write down predicate calculus formulae that formalise the following statements

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2004 Paper 8 Question 10 Information Theory and Coding (a) Consider a binary symmetric communication channel, whose input source is the alphabet X = {0, 1} with probabilities {0.5, 0.5}; whose output alphabet is Y = {0,

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