PPT-An O ( n log n )- Time Algorithm

for the k Center Problem in Trees H aitao Wang Utah State University Jingru Zhang University of Texas Rio Grande Valley SoCG 2018 Budapest The k center problem in a tree. 1 0 n 0 Error between 64257lter output and a desired signal Change the 64257lter parameters according to 1 57525u 1 Normalized LMS Algorithm Modify at time the parameter vector from to 1 ful64257lling the constraint 1 with the least modi6425 Algorithms. Chapter 3. Growth of Functions. Credit. : Dr. George . Bebis. 2. Analysis of Algorithms. Goal. :. To analyze and compare . algorithms . in . terms of . running time. . and . memory requirements. -5 0 5 10 -8 -6 -4 -2 0 -5 0 5 -4 -3 -2 -1 0 1 2 log(k)log(v)Slope: 0 5 10x 10-3 -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 Noise magnitudeb 0 5 10x 10-3 0 0.2 0.4 0.6 Noise magnitudeR2 0 5 10x 10-3 -0.35 -0. Ravishankar. . Krishnaswamy. Carnegie Mellon University. joint work with Nikhil . Bansal. (IBM) and . Anupam. Gupta (CMU). elgooG. : A Hypothetical Search Engine. Given a search query Q. Identify relevant webpages and order them. Abhilasha Seth. CSCE 669. Replacement Paths. G = (V,E) - directed graph with positive edge weights. ‘s’, ‘t’ - specified vertices. π. (s, t) - shortest path between them. Replacement Paths:. 2. 　. Turing machine. 　. RAM (. Figure . ). 　. Logic circuit model. . RAM . (Random Access Machine). Operations . supposed to be executed in one unit time. (1). 　. Control operations such as. Experience . Introduction. Enrichment. Projects. About Us. IFW Donors. Outline. . I. . Experience . . 1. Drawing log cabins. 2. Look inside a Log Cabin . . 3. At Log Cabin Village. . A. Historic Interpreters. Big Oh, Theta, Omega. Recall Insertion . Sort Algorithm. void INSERTION-SORT(. int. A[ ]). {. for (. int. j = 1, j < length(A), j ) // cost = c1 number of times = n . {. Catherine Welch. 1. , Irene Petersen. 1. , Jonathan Bartlett. 2. , . Ian White. 3. , Richard Morris. 1. , Louise Marston. 1. , Kate Walters. 1. , Irwin Nazareth. 1. and James Carpenter. 2. 1. Department of Primary Care and Population Health, UCL. for Growth-Bounded Graphs. Johannes Schneider. Roger Wattenhofer. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. Motivation. Maximal Independent Set (MIS) algorithms allow to get Connected Dominating Sets (CDS) and Minimum Dominating Sets (MDS) for wireless multi-hop networks. February 7. , 2012. Prof. Rodger. Announcements. Read for next time Chap. 3.1-3.3. Homework 3 due Tuesday. We’ll finish . Chapter 2 first today. Chap. 3.1 Algorithms. Definition. : An . algorithm. Reading: Chapter 2. 2. Complexity Analysis. Measures efficiency (time and memory) of algorithms and programs. Can be used for the following. Compare different algorithms. See how time varies with size of the input. LOCAL Algorithms. Seth Pettie. University of Michigan. Naor. , . Stockmeyer. , SICOMP 1995. Chang, . Kopelowitz. , Pettie, FOCS 2016. Chang, Pettie, FOCS 2017, SICOMP 2018. Joint work with . Yi-Jun Chang. Assorted minutiae. HW1P1 due tonight at midnight. HW1P2 due Friday at midnight. HW2 out tonight. Second Java review session: . Friday 10:30 – ARC 147. Today’s Schedu. le. Algorithm Analysis, cont..