PPT-Prim’s Algorithm from a matrix

A cable TV company is installing a system of cables to connect all the towns in the region The numbers in the network are distances in miles A D C B E F 10 8 12 15 12 20 13 19 14 Prims Algorithm from a matrix. Strassen's. Matrix Multiplication . Algorithms. . Sarah M. . Loos. . Undergraduate, Computer Science, Indiana University, smloos@indiana.edu . A very simple recasting of this classic 7-multiplication recursion improves its time performance for rectangular matrices of order . and an MST Speed-Up. Berj Chilingirian. Today’s Pla. n. (1) Prim’s Algorithm. (2) Implementation. (3) Runtime Analysis. (4) Speed-Up. Key Idea. Boruvka’s Algorithm.  . Prim’s Algorithm.  . Improved MST Algorithm. Authors. K.M. . Azharul. . Hasan. . . Md. . Abu . Hanif. . Shaikh. Dept. of . Computer Science. and Engineering. Khulna University of Engineering & Technology, . Khulna, Bangladesh. Huang, Ph.D., Professor. Email. ：. yhuang@nju.edu.cn. NJU-PASA Lab for Big Data Processing. Department of Computer Science and Technology. Nanjing University. May 29, 2015, India. A Unified Programming Model . Yan Zhu, Zachary Zimmerman, Nader . Shakibay. . Senobari. . Chin-Chia Michael Yeh, Gareth Funning, Abdullah Mueen,. Philip Brisk, Eamonn Keogh . http://www.cs.ucr.edu/~eamonn/MatrixProfile.html. Tamás Herendi, S. Roland Major. UDT2012. Introduction. The presented work is . based on the algorithm by . T. Herendi . for constructing uniformly distributed linear recurring sequences to be used for pseudo-random number . GraphBLAS. Jeremy Kepner, Vijay . Gadepally. , Ben Miller. 2014 December. This material is based upon work supported by the National Science Foundation under Grant No. DMS-. 1312831.. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.. ’. s . algorithm. 2. Minimum Spanning Tree. Given a weighted undirected graph . G. , find a tree . T. that spans all the vertices of . G. and minimizes the sum of the weights on the edges, that is. m. movies. v11. …. …. …. vij. …. vnm. V[. i,j. ] = user i’s rating of movie j. n . users. Recovering latent factors in a matrix. m. movies. n . users. m. movies. x1. y1. x2. y2. ... ... …. Powers. . with Applications . to Preconditioning. Erin C. Carson. Nicholas Knight, James . Demmel. , Ming . Gu. U.C. Berkeley. Motivation: The Cost of an Algorithm. Algorithms have 2 costs: Arithmetic (flops). Graph Algorithms. Uri Zwick. Tel Aviv University. November 2016. 1. Algebraic matrix multiplication. Strassen. ’s algorithm. Rectangular matrix multiplication. Boolean matrix multiplication. Simple reduction to integer matrix multiplication. Matrix Profile II: Exploiting a Novel Algorithm and GPUs to break the one Hundred Million Barrier for Time Series Motifs and Joins Yan Zhu, Zachary Zimmerman, Nader Shakibay Senobari Chin-Chia Michael Yeh, Gareth Funning, Abdullah Mueen, Using Matrices Matrix A represents the number of points scored in each quarter for the first 4 games of football played by Frederick High School. Matrix B represents the number of points scored in each quarter for the first 4 games of football played by Thomas Johnson High School. Write a matrix that represents the combined points scored per quarter for the first four games. Yan Zhu, Zachary Zimmerman, Nader . Shakibay. . Senobari. . Chin-Chia Michael Yeh, Gareth Funning, Abdullah Mueen,. Philip Brisk, Eamonn Keogh . http://www.cs.ucr.edu/~eamonn/MatrixProfile.html.