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INFORMS Philadelphia – 2015

288

3 - Studying Influence of Comments in Online News Papers

Iljoo Kim, Assistant Professor, Saint Joseph’s University, 347

Mandeville Hall, 5600 City Avenue, Philadelphia, PA, 19131,

United States of America,

ikim@sju.edu,

Gautam Pant

In this work, we study online comments and their influence in online news

articles. Using text-mining techniques, we attempt to explain and/or predict

influence of online newspaper comments on the context of the original article or

even on creating a new agenda through the discussions among commenters. This

is done based on the textual signals embedded within comments as well as news

articles.

4 - Politics and Information Technology Investments in

The U.S. Federal Government in 2003-2015

Min-Seok Pang, Assistant Professor, Temple University,

1810 N 13th St, Speakman 201e, Philadelphia, PA, 19122,

United States of America,

minspang@temple.edu

What makes some US federal agencies digitally advanced and others lagging? This

study investigates how politics affects IT investment in federal agencies. With a

panel dataset from 133 federal agencies, our empirical analyses produce several

intriguing findings. A federal agency makes more capacity-building IT

investments (i) when its head is appointed with legislative approval, (ii) when the

federal government is less divided, and (iii) when it is neither too conservative

nor too liberal.

TB11

11-Franklin 1, Marriott

Machine Learning under a Modern Optimization Lens

Sponsor: Optimization/Integer and Discrete Optimization

Sponsored Session

Chair: Dimitris Bertsimas, Professor, MIT, 77 Massachusetts Ave.,

Cambridge, MA, 02139, United States of America,

dbertsim@mit.edu

1 - Sparse Principal Component Analysis via a Modern

Optimization Lens

Lauren Berk, Massachusetts Institute of Technology, 77

Massachusetts Avenue, Bldg. E40-149, Cambridge, MA, 02139,

United States of America,

lberk@mit.edu

, Dimitris Bertsimas

We develop tractable algorithms that provide provably optimal solutions to the

exact Sparse Principal Component problems of up to 1000 dimensions, using

techniques from Mixed Integer Optimization and first order methods. Unlike

earlier SPCA methods, our approach retains complete control over the degree of

sparsity of the components, and provides solutions with higher explained

variance.

2 - Robust Support Vector Machines

Colin Pawlowski, MIT, 77 Massachusetts Ave., Cambridge, MA,

02139, United States of America,

cpawlows@mit.edu,

Dimitris Bertsimas

We consider a maximal-margin classifier which is the non-regularized

formulation of SVM. Using Robust Optimization, we develop new,

computationally tractable methods that are immunized against uncertainty in the

features and labels of the training data. Experiments on real-world datasets from

the UCI Machine Learning Repository show out-of-sample accuracy

improvements for robust methods in a significant number of problems analyzed.

3 - Optimal Trees

Jack Dunn, Operations Research Center, MIT, 77 Mass Ave,

Bldg E40-130, Cambridge, MA, 02139, United States of America,

jackdunn@mit.edu,

Dimitris Bertsimas

Decision trees are widely used to solve the classical statistical problem of

classification. We introduce a new method for constructing optimal decision trees

using Mixed-Integer Optimization, and show using real data sets that these trees

can offer significant increases in accuracy over current state-of-the-art decision

tree methods. We also demonstrate the benefits of using Robust Optimization

when constructing these trees.

4 - Logistic Regression using Robust Optimization

Daisy Zhuo, Massachusetts Institute of Technology, 77

Massachusetts Avenue, Cambridge, MA, 02139,

United States of America,

zhuo@mit.edu,

Dimitris Bertsimas

Logistic regression is one of the most commonly used classification methods, yet

the solution can be sensitive to inaccuracy and noise in data. Here we propose an

approach using Robust Optimization to find stable solutions under uncertainties

in data features and labels. Using more than 80 real-world problems, we

demonstrate that the robust logistic regressions lower misclassification error

significantly in the majority of the data sets.

TB12

12-Franklin 2, Marriott

Nonlinear Programming in Stochastic and

Multilevel Problems

Sponsor: Optimization/Mixed Integer Nonlinear Optimization and

Global Optimization

Sponsored Session

Chair: Alexander Vinel, Auburn University, 3301 Shelby Center,

Auburn, AL, 36849-5346, United States of America,

alexander.vinel@auburn.edu

1 - Branch-and-cut Algorithm for Integer Bilevel Linear

Optimization Problems

Sahar Tahernejad, Graduate Student, Lehigh University, 12 Duh

Drive- No. 132, Bethlehem, PA, 18015, United States of America,

sat214@lehigh.edu,

Ted Ralphs

We extend the branch-and-cut framework of Denegre and Ralphs for solving

integer bilevel linear optimization problems (IBLPs). IBLPs differ from standard

integer optimization problems in that there are solutions which are integer but

not feasible and they should be removed from the feasible solution set. Our

proposed algorithm applies a variety of cut generation techniques for removing

such solutions. We report on numerical experiments on some benchmark IBLPs.

2 - On Pessimistic Versus Optimistic Bilevel Linear Programs

M. Hosein Zare, University of Pittsburgh, 1048 Benedum Hall,

Pittsburgh, PA, 15261, United States of America,

moz3@pitt.edu

,

Osman Ozaltin, Oleg Prokopyev

We study the relationships between Pessimistic and Optimistic Bilevel Linear

Programs. In particular, we focus on the case when the upper-level decision-

maker (i.e., the leader) needs to consider the uncertain behavior of the

lower-level decision maker (i.e., the follower). We derive some computational

complexity properties, and illustrate our results using a defender-attacker

application.

3 - Identifying Risk-averse Low-diameter Clusters in Graphs with

Random Vertex Weights

Maciej Rysz, NRC-AFRL, 1350 N. Poquito Road, Shalimar, FL,

United States of America,

mwrysz@yahoo.com

, Pavlo Krokhmal

We consider the problem of finding a k-club of minimum risk contained in a

graph whose vertices have stochastic weights. A stochastic programming

framework that is based on the formalism of coherent risk measures is used to

find the corresponding subgraphs. A combinatorial branch-and-bound solution

algorithm is proposed.

4 - Solution Procedures for a Class of Mixed-integer Nonlinear

Programming Problems

Alexander Vinel, Auburn University, 3301 Shelby Center,

Auburn, AL, 36849-5346, United States of America,

alexander.vinel@auburn.edu

, Pavlo Krokhmal

We study solution approaches for a class of mixed-integer non-linear

programming problems with our interest stemming from recent developments in

risk-averse stochastic programming. We explore possible applications of some of

the solution techniques that have been successfully used in mixed-integer

second-order conic programming and show how special structure of problems

under consideration can be utilized.

TB13

13-Franklin 3, Marriott

Stochastic Approximation

Sponsor: Optimization/Optimization Under Uncertainty

Sponsored Session

Chair: Raghu Pasupathy, Associate Professor, Department of Statistics,

Purdue University, 250 N University Street, West Lafayette, IN, 47907,

United States of America,

pasupath@purdue.edu

1 - Budget-constrained Stochastic Approximation

Uday Shanbhag, The Pennsylvania State University, 310

Leonhard Building, University Park, PA, 16801, United States of

America,

udaybag@engr.psu.edu

, Jose Blanchet

We consider a convex constrained stochastic convex optimization problem in

which the simulation budget is fixed and computation is expensive. We consider

stochastic approximation schemes in which the sample-size is either constant or

updated at every step while meeting this budget and provide suitable finite-time

error bounds.

TB11