CS 124 Homework 4: Spring 2021 Your name: Collaborators: No. of late days used on previous psets: No. of late days used after including this pset: Homework is due Wednesday 2021-03-10 at 11:59pm ET. You are allowed up to twelve (college)/forty (extension school) late days through the semester, but the number of late days you […]
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CS124 Lecture 8 Spring 2011 Divide and Conquer We have seen one general paradigm for finding algorithms: the greedy approach. We now consider another general paradigm, known as divide and conquer. We have already seen an example of divide and conquer algorithms: mergesort. The idea behind mergesort is to take a list, divide it into
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CS124 Lecture 9 Spring 2010 9.1 The String reconstruction problem The greedy approach doesn’t always work, as we have seen. It lacks flexibility; if at some point, it makes a wrong choice, it becomes stuck. For example, consider the problem of string reconstruction. Suppose that all the blank spaces and punctuation marks inadvertently have been
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CS 124 Section 0 Biased Coins, Math Review, Sorting/Searching Lavanya Singh 2021 Goals • CALCULATIONS • Sums and Series • Probability and Counting • PROOFS • Induction • Contradiction • BIG-O • SORTING/SEARCHING • Binary Search • Mergesort 1 Calculations 1 Sums and Series Here are some important sums: • ∑n1 i=n(n+1)/2 • ∑n1 i2
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CS124 Lecture 7 In today’s lecture we will be looking a bit more closely at the Greedy approach to designing algorithms. As we will see, sometimes it works, and sometimes even when it doesn’t, it can provide a useful result. Horn Formulae A simple application of the greedy paradigm solves an important special case of
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CS124 Lecture 6 Spring 2011 Disjoint set (Union-Find) For Kruskal’s algorithm for the minimum spanning tree problem, we found that we needed a data structure for maintaining a collection of disjoint sets. That is, we need a data structure that can handle the following operations: • MAKESET(x) – create a new set containing the single
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CS124 Lecture 4 Spring 2011 Breadth-First Search A searching technique with different properties than DFS is Breadth-First Search (BFS). While DFS used an implicit stack, BFS uses an explicit queue structure in determining the order in which vertices are searched. Also, generally one does not restart BFS, because BFS only makes sense in the context
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CS124 Lecture 5 Spring 2011 Minimum Spanning Trees A tree is an undirected graph which is connected and acyclic. It is easy to show that if graph G(V,E) that satisfies any two of the following properties also satisfies the third, and is therefore a tree: • G(V,E) is connected • G(V,E) is acyclic • |E|=|V|−1
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CS 124 Course Notes 1 Spring 2011 An algorithm is a recipe or a well-defined procedure for performing a calculation, or in general, for transforming some input into a desired output. Perhaps the most familiar algorithms are those those for adding and multiplying integers. Here is a multiplication algorithm that is different from the standard
Statistical Machine Learning Christian Walder Machine Learning Research Group CSIRO Data61 and College of Engineering and Computer Science The Australian National University Canberra Semester One, 2020. (Many figures from C. M. Bishop, “Pattern Recognition and Machine Learning”) Statistical Machine Learning ⃝c 2020 Ong & Walder & Webers Data61 | CSIRO The Australian National University Outlines
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