PPT-Optimization - Lecture 4, Part 0

M Pawan Kumar http wwwrobotsoxacuk oval Slides available online http mpawankumarinfo Energy Minimization V a V b V c V d Energy Minimization V a V b V c V d 2 5. Our objective is an algorithm for 64257nding the maximum weight matching in a bipartite graph As has been seen earlier the PrimalDual algorithm lets us design an algorithm for the weighted case if we know an algorithm for the unweighted case Let us 433 Combinatorial Optimization Oct 30 Nov 4 Lecture The Ellipsoid Algorithm Oct 30 Nov 4 Lecturer Santosh Vempala 1 The Algorithm for Linear Programs Problem 1 Given a polyhedron written as Ax 64257nd a poin 1 Lecture Overview We ultimately wish to develop algorithms which are tailored to unconstrained optimization problems with nonsmooth objective functions constrained optimization problems problems with special structures In this lecture we examine non In the last lecture we proved the MaxFlow MinCut theorem in a way that also established the optimality of the FordFulkerson algorithm if we iteratively 64257nd an augmenting path in the residual network and push more 64258ow along that path as allow Yaron Singer Lecture 7 February 19th 2014 1 Overview In our previous lecture we saw the application of the strong duality theorem to game theory and then saw how that is applied to learning theory where we showed that weak learning implies strong l Module - 2 Lecture Notes – 1 Stationary points: Functions of Single and Two Variables Introduction In this session, stationary points of a function are defined. The necessary and sufficient i m Summary, Anti-summary, and . Final . T. houghts. Summary (1) Architecture. Modern architecture designs are driven by energy constraints. Shortening latencies is too costly, so we use parallelism in hardware to increase potential throughput. 3D Routing . for . Aircraft Wire Harness. . Design. Introduction. Nowadays, wire harnesses of aircraft . are . becoming more and more complex. The complexity is associated with the increase in number of on-board electrical and electronic . Loop Transformations. Chapter 11.10-11.11. Dror. E. . Maydan. CS243: Loop Optimization and Array Analysis. 1. Loop Optimization. . Domain. Loops: Change the order in which we iterate through loops. for Geometry Processing. Justin Solomon. Princeton University. David . Bommes. RWTH Aachen University. This Morning’s Focus. Optimization.. Synonym(-. ish. ):. . Variational. methods.. This Morning’s Focus. M. Pawan Kumar. pawan.kumar@ecp.fr. Slides available online http://. mpawankumar.info. Operations on . Matroids. Truncation. Deletion. Contraction. Duality of Deletion and Contraction. Maximum Weight Independent Set. Non-convex optimization. All loss-functions that are not convex: not very informative.. Global optimality: too strong. Weaker notions of optimality?. What is a saddle point?. Different kinds of critical/stationary points. M. Pawan Kumar. pawan.kumar@ecp.fr. Slides available online http://. cvn.ecp.fr. /personnel/. pawan. Recap. V. a. V. b. V. c. d. a. d. b. d. c. Label . l. 0. Label . l. 1. D. : Observed data (image). Date Monday June 17 2013 till Thursday June 20 2013TimeVenue Included 2 Co31ee Breaks and a Lunch EE Short CourseTopics to be CoveredDue to the limited space RSVP is required byemailing the local coo