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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

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