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Work[remove]3

Resource type

Dissertation3

Creator

Long Hei1
Xie, Yuchen1
Yu, Qimeng1

Keyword

nonlinear optimization[remove]3
BFGS1
LBFGS1
bilevel programming1
convex hull1
more Keywords »

Subject

Computer science1
Industrial Engineering and Management Sciences1
Industrial engineering1
Operations research1

Language

en2

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Generalized Submodular Optimization: Theory, Algorithms and Applications

Description:

Submodularity is a well-known concept in integer programming and combinatorial optimization. Submodular set functions capture the diminishing returns phenomenon, which has wide-ranging applications in various domains. Typically, a submodular set function models the utility of homogenous items selected from a single ground set. Selecting an item or not is naturally...

Keyword:

mixed-integer programming, polyhedral, convex hull, and nonlinear optimization

Subject:

Operations research

Creator:

Yu, Qimeng

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

08/23/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_1013578 and http://dissertations.umi.com/northwestern:16754
Methods for Nonlinear and Noisy Optimization

Description:

In this thesis, we aim to develop efficient algorithms with theoretical guarantees for noisy nonlinear optimization problems, with and without constraints, under various different assumptions. Apart from Chapter 1 which provides relevant backgrounds, the remaining of thesis is divided into four chapters. In Chapter 2, we establish the theoretical convergence...

Keyword:

LBFGS, BFGS, noisy optimization, nonlinear optimization, quasi-Newton, and derivative-free optimization

Subject:

Industrial engineering and Computer science

Creator:

Xie, Yuchen

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

10/07/2021

Date Created:

2021-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_844865 and http://dissertations.umi.com/northwestern:15749
Practical Techniques for Nonlinear Optimization

Description:

At the heart of nonlinear optimization methods lies the solution of linear systems of equations. As the size of the problem increases, it is imperative to use iterative methods, such as the conjugate gradient algorithm, to solve these linear systems. In the context of constrained optimization, it has proved to...

Keyword:

preconditioning, interior point method, strategic bidding, nonlinear optimization, and bilevel programming

Subject:

Industrial Engineering and Management Sciences

Creator:

Long Hei

Owner:

Scholarly Digital Publishing

Date Uploaded:

06/01/2018

Date Modified:

06/01/2018

Date Created:

2007-04-17

Resource Type:

Dissertation

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