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INFORMS Nashville – 2016

335

TD05

101E-MCC

Forest Management

Sponsored: Energy, Natural Res & the Environment II Forestry

Sponsored Session

Chair: Aaron Bradley Hoskins, United States Naval Research

Laboratory, 7220 Briarcliff Drive, Springfield, VA, 22153, United States,

abh318@msstate.edu

Co-Chair: Sándor F. Tóth, University of Washington, School of

Environmental & Forest Sciences, Seattle, WA, 9, United States,

oths@uw.edu

1 - Stochastic Forestry Planning Problem Using Progressive Hedging

Cristobal Pais, PhD Student, Instituto de Sistemas Complejos de

Ingeniería, Domeyko 2367, Santiago, 8370397, Chile,

cpais@ing.uchile.cl,

Andres P Weintraub

The forest planning problem with road construction consists in managing the

production of a land divided into harvest cells. The goal is the maximization of

the expected NPV for a tactical plan subject to uncertainties. A method is applied

for generating scenario trees (price, demand and growth) with their probabilities.

Non-anticipativity constraints are needed in the model to link scenarios. This

problem is difficult to solve due to the number of scenarios. We have

implemented Progressive Hedging which separates the problem by scenarios, with

multiple adjustments to improve its solvability exploiting its parallel

implementation. With this approach, instances up to 1000 scenarios were solved.

2 - Using Critical Component Detection In Graphs For Wildfire

Fuel Management

Dmytro Matsypura, The University of Sydney, Business School,

Abercrombie Building H70, Sydney, 2006, Australia,

dmytro.matsypura@sydney.edu.au

We study the problem of wildfire fuel management. The problem is formulated as

a non-linear optimization problem. We apply the formulations and objectives

used for critical element detection in graphs. We present the results of simulations

and empirical study.

3 - A Stochastic Programming Approach To Satellite

Constellation Design

Aaron B Hoskins, PhD Candidate, Mississippi State University,

P.O. Box 9542, Starkville, MS, 39762, United States,

abh318@msstate.edu

, Hugh Medal

A constellation of satellites is launched to collect data on wildfires. The time and

location of the wildfires is not known at the time the satellites are launched into

orbit. This research implements a stochastic programming algorithm to select the

initial constellation design that minimizes the expected cost of maneuvering the

satellites to collect data once the location of the wildfire has been realized.

4 - Optimal Carbon Sampling In Remote Forest Regions

Sándor F. Tóth, University of Washington, School of

Environmental & Forest Sciences, Seattle, WA, 9, United States,

oths@uw.edu,

Hans Eric Andersen

We present a spatial optimization approach to find the best integrated ground and

air sampling strategy for carbon in remote boreal forests. We minimize the

expected variance on estimates of the mean carbon tonnage in six forest pools by

optimal flight path selection for remote sensing and by optimal vehicle routing for

ground calibration. We apply the model, which incorporates budgetary and

logistical constraints, to the Tanana District of the U.S. Forest Service in the

Interior of Alaska.

TD06

102A-MCC

Optimization for Large-Scale Learning

Sponsored: Data Mining

Sponsored Session

Chair: Dzung Phan, IBM Research, Yorktown Heights, NY,

United States,

phandu@us.ibm.com

1 - Gradient Sliding For Structured Convex Optimization

Yuyuan Ouyang, Clemson University,

yuyuano@clemson.edu

,

Guanghui Lan

We present a gradient sliding method for a class of structured convex

optimization. In particular, we assume that the optimization problem has the

structure of the sum of two components. The proposed method is capable of

skipping the evaluation of one of the components in the problem, will preserving

the overall iteration complexity. The proposed method can be applied to smooth

optimization, bilinear saddle point optimization, and variational inequalities.

2 - Storm: Stochastic Optimization Using Random Models

Matthew Joseph Menickelly, Lehigh University,

mjm412@lehigh.edu

In this talk, we will discuss work in developing an algorithmic framework

(STORM) for the unconstrained minimization of a stochastic function, f. The

framework is based on the class of derivative-free trust-region methods. It

essentially requires that both the quality of random models of f and the error in a

pair of point estimates - one at the current iterate and a second at the trial step -

scale with the square of the trust region radius. We compare this approach to

usual methods of stochastic optimization, e.g. stochastic gradient descent, and

discuss possible applications of STORM in hyperparameter tuning and AUC

optimization.

3 - Extended Gauss-Newton-Type Algorithms For Low-rank

Matrix Optimization

Quoc Tran-Dinh, University of North Carolina at Chapel Hill,

quoctd@email.unc.edu

We develop a Gauss-Newton framework for solving nonconvex optimization

problems involving low-rank matrix variables. The algorithm inherits advanced

features from classical Gauss-Newton method to this extension such as local

linear and quadratic convergence. Under mild assumptions, we prove the local

linear and quadratic convergence of our

method.By

incorporating with a

linesearch, the algorithm has a global convergence guarantee to a critical point of

problems. As a special case, we customize our framework to handle the

symmetric case with provable convergence guarantees. We test our algorithms on

various practical problems including matrix completion, and quantum

tomography.

4 - Projection Algorithms For Nonconvex Minimization With

Application To Sparse Principal Component Analysis

Dzung Phan, IBM Research,

phandu@us.ibm.com

, William Hager,

Jiajie Zhu

We minimize a concave function over nonconvex sets, and propose a gradient

projection algorithm (GPA) and an approximate Newton algorithm (ANA).

Convergence results are established. In numerical experiments arising in sparse

principal component analysis, it is seen that the performance of GPA is very

similar to the fastest current methods. In some cases, ANA is substantially faster

than the other algorithms, and gives a better solution.

TD07

102B-MCC

Emerging Topics on Internet of Things (IoT)

and Data Analytics

Sponsored: Data Mining

Sponsored Session

Chair: Chen Kan, Pennsylvania State University, University Park, PA,

United States,

cjk5654@psu.edu

1 - A Pomdp Approach For Optimal Alerting To Remotely Monitored

Asthma Patients Considering Alert Compliance Issue

Junbo Son, Assistant Professor, University of Delaware, Newark,

DE, United States,

sonjunbo@gmail.com,

Shiyu Zhou

Driven by the IoT, a smart asthma management (SAM) system has been

implemented where rescue inhalers with a wireless connection record the inhaler

usage and transmit the data to a centralized server. Based on the diagnosis result,

the system may alert the patient for timely interventions. A crucial challenge is to

decide when to alert the patients considering the fact that the patient may not

comply the alert. This alert compliance issue complicates the decision process. In

this research, a novel partially observable Markov decision process considering

alert compliance is proposed and useful insights were found which would benefit

both the asthma patients and company who run the SAM system.

2 - Integration Of Data-level Fusion Model And Kernel Methods For

Degradation Modeling And Prognostic Analysis

Changyue Song, University of Wisconsin-Madison, Madison, WI,

United States,

csong39@wisc.edu,

Kaibo Liu

Internet of things has enabled a data-rich environment with multiple sensors to

monitor the degradation process of a unit in real time. As each sensor signal often

contains partial and dependent information, data-level fusion methods have been

developed that aim to construct a health index via the combination of multiple

sensor signals. The existing data-level fusion methods are limited by only

considering a linear fusion function, which may be insufficient to accurately

characterize the complex relations of sensor signals in practice. This study fills the

literature gap by integrating the kernel methods with data-level fusion

approaches to incorporate nonlinear fusion functions.

TD07