[Nash-Williams 1960] G has a strongly k -edge-connected orientation. G is 2k -edge-connected ... A Proof of Nash-Williams' Theorem. Find a vertex v of degree 2k. ...
w(S,u) = maxT S ( UT - C(T) ) Coalition S is called efficent if. us - C(S) = w(N,u) ... us - C(S) = W(N,u) ( = maxT N(uT - C(T) ) consequence of submodularity of C ...
Philip H.S. Torr, Graph Cuts and their Use in Computer Vision, Invited tutorial ... P. Kohli, M.P. Kumar, P. Torr. P3 & Beyond: Solving Energies with Higher ...
Title: Definition of Submodular Systems Author: HO CHI HIN Last modified by: LEE CHEUK MAN Created Date: 4/19/2000 1:10:51 PM Document presentation format
... of N is called a distributive lattice if for any two ... For a submodular function ? defined on a distributive lattice D 2N such that. D, N D and ?()=0, ...
An Improved Approximation Algorithm for Combinatorial Auctions ... Unconditional Lower bound. We will prove the lower bound for the MCG problem (Chekuri-Kumar) ...
Selecting Observations against Adversarial Objectives Andreas Krause Brendan McMahan Carlos Guestrin Anupam Gupta TexPoint fonts used in EMF. Read the TexPoint manual ...
Has nice properties w.r.t optimization (like convex function, we ... Nice. ... But it has a nice theorem that guarantee lower bounding for greedy algorithm (so ...
Vladimir Kolmogorov Yuri Boykov Carsten Rother University of Western Ontario University College London Ratio minimization - Q( ) assumed to be non-negative
Title: Distributed Inference in Sensor Networks Author: S Last modified by: Carlos Guestrin Created Date: 12/3/2003 4:12:11 AM Document presentation format
Spanning Tree Polytope x1 x3 x2 Lecture 11: Feb 21 Spanning Tree Polytope Big Picture LP-solver Problem LP-formulation Vertex solution Solution Polynomial time ...
For most interesting utilities F, NP-hard! Placement B = {S1,..., S5} ... State-of-the-art: [Flaherty et al., NIPS 06] Assume perturbation on Jacobian rf 0(xi) ...
Title: When is Price Discrimination Optimal? Author: Kellogg Microsoft Office Last modified by: Linda Casals Created Date: 6/2/2005 3:11:05 PM Document presentation ...
Authors: David Kempe, Jon Kleinberg, va Tardos. KDD 2003 ... end are reachable via green paths from initially targeted ... How do we fix a green graph now? ...
Maximizing the Spread of Influence through a Social Network Authors: David Kempe, Jon Kleinberg, va Tardos KDD 2003 Adapted from author s at: http://www.cs ...
Introduction to Linear and Integer Programming Lecture 7: Feb 1 Introduction to Linear and Integer Programming Lecture 7: Feb 1 Overview Mathematical programming ...
Jure Leskovec, Andreas Krause, Carlos Guestrin, Christos Faloutsos, Jeanne ... On which nodes should we place sensors to efficiently detect the all possible ...
Inferring Networks of Diffusion and Influence Manuel Gomez Rodriguez1,2 Jure Leskovec1 Andreas Krause3 1 Stanford University 2 MPI for Biological Cybernetics
Minimum Cost Flow and Minimum Cut Lecture 7: Jan 31 Minimum Cut An s-t cut is a set of edges whose removal disconnect s and t Minimum Cost Flow and Minimum Cut ...
Multi-view shape reconstruction Shape reconstruction Given A set of images (views) of an object / scene Camera calibration information [Light calibration information ...
... bounds using submodularity and other heuristics to prune search space ... Pruned search space using branch and bound. Upper bound exploiting submodularity ...
Carsten Rother, Vladimir Kolmogorov*, Victor Lempitsky, Martin Szummer ... [Data courtesy from Oliver Woodford] Problem: Minimize a binary 4-connected energy ...
Advanced clearing algorithms exist for clearing combinatorial auctions (CAs) ... Linear: pj for each j G, p(S) = Sj Spj. Non-linear: p(S) for each bundle S ...
Algorithmic Game Theory and Internet Computing Algorithmic Game Theory and Internet Computing Amin Saberi Outline Game Theory and Algorithms efficient algorithms for ...
mint F(At) high! s5. s10. Poor coverage at t=4! 13. Balanced SPASS ... Hence, to check whether OPT = mint F(A*t) c, we need to solve average-case problem ...
MAP Estimation Algorithms in Computer Vision - Part I M. Pawan Kumar, University of Oxford Pushmeet Kohli, Microsoft Research Aim of the Tutorial Description of some ...
... tight constraint defines a set. A basic solution is uniquely defined by a laminar family of tight ... On the other hand, since S and T are tight, we have ...
Topics Algorithms for Complex Networks Economics and Game Theory Algorithms for Large Networks TraceRoute Sampling Where do networks come ... Load Balancing Games.
Hybrid Monte Carlo (use gradient information) Swendsen-Wang (large moves for Ising model) ... Combine best of both worlds (hybrid) Use smart deterministic proposals ...
Andreas Krause, Carlos Guestrin, Anupam Gupta, Jon Kleinberg. Monitoring of spatial phenomena ... generalizes existing problems. e.g., group steiner ...
Preference elicitation and multistage/iterative mechanisms Vincent Conitzer conitzer@cs.duke.edu Unnecessary communication Single-stage mechanisms Multistage ...
Mohammad T. Hajiaghayi University of Maryland * * * * * Outline Buy-at-bulk Network Design Prize-collecting Network Design Bidimensionality Theory Steiner Trees ...
Approximation Algorithms for CAs with Complement-Free Bidders Let us now choose the row (say row 2) that represents the allocation with the highest value.
Simplex Algorithm. Elliposid Algorithm. Integer Linear programs ... So, the simplex algorithm actually defines a combinatorial algorithm for these problems. ...
Carsten Rother Vladimir Kolmogorov Tom Minka Andrew Blake. Generative Cosegmentation Model: ... Markov Random Field (for binary segmentation) with a ...