'Dual' diaporamas de présentation

MRF optimization based on Linear Programming relaxations

MRF optimization based on Linear Programming relaxations. Nikos Komodakis University of Crete. IPAM, February 2008. (optimize an objective function). (subject to some constraints). this is the so called feasible set , containing all x satisfying the constraints. Introduction.

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A Primal-Dual Approach for Online Problems

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10701 Recitation 5 Duality and SVM

10701 Recitation 5 Duality and SVM. Ahmed Hefny. Outline. Langrangian and Duality The Lagrangian Duality Examples Support Vector Machines Primal Formulation Dual Formulation Soft Margin and Hinge Loss. Lagrangian. Consider the problem s.t.

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Introducing Duality and Sensitivity Analysis

Introducing Duality and Sensitivity Analysis. Merton Trucks. Optimal Product Mix: 2000 Model 101s and 1000 Model 102s Optimal Contribution: $11,000,000. How much is Engine Assembly capacity worth to Merton Trucks?. Merton Trucks (Scaled). unit = 1 hr. unit = 2 hr. unit = 2 hr. unit = 3 hr.

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LLM geometries in M-theory and probe branes inside them

LLM geometries in M-theory and probe branes inside them. Jun-Bao Wu IHEP, CAS Nov. 24, 2010, KITPC. Based on. B. Chen, E. O Colgain, JW, H. Yavartanoo, JHEP 04 (2010)078, 1001.0906. E. O Colgain, JW, H. Yavartanoo, JHEP 08 (2010)114, 1005.4527. E. O Colgain, JW, H. Yavartanoo,

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Capacitated vertex covering

Capacitated vertex covering. Guha, Hassin, Khuller, Or. Problem outline A simple 4-approximation via LP-rounding 2-approximation by a primal-dual algorithm 3-Approximation with edge demands Capacitated covering on trees. ??? ???. Vertex covering ? ???? ?.

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CPSC 335

CPSC 335. Linear Programming Dr. Marina Gavrilova Computer Science University of Calgary Canada. Linear Programming. Political Campaign Example. Political Campaign Example. Political Campaign Example. Political Campaign Example. Political Campaign Example. Solution ??.

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Fast, Approximately Optimal Solutions for Single and Dynamic Markov Random Fields (MRFs)

Fast, Approximately Optimal Solutions for Single and Dynamic Markov Random Fields (MRFs). Nikos Komodakis (Ecole Centrale Paris) Georgios Tziritas (University of Crete) Nikos Paragios (Ecole Centrale Paris). vertices G = set of objects. edges E = object relationships.

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Combinatorial Interpretations of Dual Fitting and Primal Fitting

Combinatorial Interpretations of Dual Fitting and Primal Fitting. Ari Freund Cesarea Rothschild Institute, University of Haifa Dror Rawitz Department of Computer Science, Technion. Approximation Using LP Duality. Minimization problem LP-relaxation and dual:

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Relationship between (P) & (D)

Relationship between (P) & (D). Dual of dual is primal. Dual of a standard LP can be expressed as. s. t. and its dual is. s. t. s. t. Hence strong duality theorem can be extended to : Primal LP has an optimal solution  Dual LP has an optimal solution.

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Relation between (P) & (D)

Relation between (P) & (D). Dual of dual is primal. Dual of a standard LP can be expressed as. s. t. and its dual is. s. t. s. t. Hence strong duality theorem can be extended to : Primal LP has an optimal solution ? Dual LP has an optimal solution.

363 views • 16 slides

Linear Programming: Introduction and Duality

Linear Programming: Introduction and Duality. NTHU CS CSBB lab ???. Outline. Linear programming The LP-duality theorem. Linear programming. Linear programming The problem of optimizing a linear function subject to linear inequality constraints. Minimize 7 x 1 + x 2 +5 x 3

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Internet Networking Spring 2003

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Internet Networking Spring 2004

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Chap 9. General LP problems: Duality and Infeasibility

Chap 9. General LP problems: Duality and Infeasibility. Extend the duality theory to more general form of LP Consider the following form of LP. subject to. (1). (2). Want to define dual problem for this LP so that dual objective value gives upper bound on the primal optimal value.

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Agenda

Agenda. Duality Geometric Picture Piecewise linear functions. Dual Problem. Original: max profit from running plant s.t. capacity not exceeded variables are production quantities Dual: min cost to buy all capacity s.t. willing to sell capacity instead of produce

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Chap 10. Sensitivity Analysis

Chap 10. Sensitivity Analysis. We do not follow the text here. We study the dual simplex method in a little bit different way from the text. Dual simplex method Note that, when we solve the LP by the simplex method, the current tableau (dictionary) can be identified if we know the basis.

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Duality and Post-Optimal Analysis by amna ali

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