ML_H3 Homework Assignment #3¶ Assigned: February 19, 2021 Due: March 5, 2021 This assignment consists of questions that require a short answer and one Python programming task. You can enter your answers and your code directly in a Colaboratory notebook and upload the shareable link for your notebook as your homework submission. 1.¶ (12 points) […]
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CSCI 570 – Spring 2021 – HW 3 Due Sunday March 07 (by 4:00 AM) For all divide-and-conquer algorithms follow these steps: 1. Describe the steps of your algorithm in plain English. 2. Write a recurrence equation for the runtime complexity. 3. Solve the equation by the master theorem. For all dynamic programming algorithms follow
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CSCI 570 Homework 3 Due Sunday Mar. 08 (by 23:30) For all divide-and-conquer algorithms follow these steps: 1. Describe the steps of your algorithm in plain English. 2. Write a recurrence equation for the runtime complexity. 3. Solve the equation by the master theorem. For all dynamic programming algorithms follow these steps: 1. Define (in
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Analysis of Algorithms V. Adamchik CSCI 570 Spring 2020 Lecture 12 University of Southern California NP-Completeness Reading: chapter 9 Outline The P vs. NP problem Polynomial reduction 23 Problems of Hilbert In 1900 D. Hilbert presented a list of 23 challenging (unsolved) problems in math. Hilbert’s 10th problem: Given a multivariate polynomial with integer coeffs,
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CS 570 – HW 5 Due Friday, April 24 (by 23:30) 1 Maximizing Profit (10 points) A furniture company produces three types of couches. The first type uses 1 foot of framing wood and 3 feet of cabinet wood. The second type uses 2 feet of framing wood and 2 feet of cabinet wood. The
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Analysis of Algorithms V. Adamchik CSCI 570 Spring 2020 Lecture 10 University of Southern California Network Flow – 2 Reading: chapter 7 Exam Statistics Number of submitted grades: 570 / 582 Minimum: 24 % Maximum: 94 % Average: 74.28 % Median:76 % Standard Deviation:9.75 % The Ford-Fulkerson Algorithm Algorithm. Given (G, s, t, c) start
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Analysis of Algorithms V. Adamchik CSCI 570 Spring 2020 Lecture 9 University of Southern California Network Flow Reading: chapter 7 The Network Flow Problem Our fourth major algorithm design technique (greedy, divide-and-conquer, and dynamic programming). Plan: The Ford-Fulkerson algorithm Max-Flow Min-Cut Theorem The Flow Problem source Suppose you want to ship natural gas from Alaska
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Analysis of Algorithms V. Adamchik CSCI 570 Spring 2020 Lecture 13 University of Southern California NP-Completeness Reading: chapter 9 P and NP complexity classes P = set of problems that can be solved in polynomial time by a deterministic TM. NP = set of problems that can be solved in polynomial time by a nondeterministic
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CSCI-570 Analysis of Algorithms Practice Exam – 2 2020.4.24 1 CSCI-570 Analysis of Algorithms Practice Exam – 2 True/False Problems 1. For every graph G and every maximum flow on G, there always exists an edge such that increasing the capacity on that edge will increase the maximum flow that’s possible in the graph. 2.
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CSCI-570 Homework 4 April 6, 2020 1 Compute Max-Flow And Min-Cut Solution: Figure 1 has max-flow 7. One feasible flow is S → A → C → T withflow2,S→A→B→C→T withflow1,S→B→D→T withflow 3 and S → B → C → T with flow 1. All min-cuts are {S}||{A,B,C,D,T}, {S,A,B,D}||{C,T}. Figure 2 has max-flow 7. A feasible
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