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I joined the Department of Mathematics at Simon Fraser University
in September 2006, and have been appointed as an associate faculty member in the Department of Statistics and Actuarial Science
at SFU since January 2010. Prior to that, I was a Zeev Nehari Visiting Assistant Professor in the Department of Mathematical
Sciences at Carnegie Mellon University during the academic year 2005-2006. I completed my PhD in Operations
Research under the supervision of Dr. Renato D. C. Monteiro and Dr. Arkadi S. Nemirovski in the School of Industrial and Systems
Engineering at Georgia Institute of Technology in August 2005.
Research Interests
- Theory and algorithms for deterministic and/or stochastic continuous optimization with an emphasis in convex programming
- Applications of continuous optimization in finance, statistics, machine learning, image processing, engineering design,
and decision-making under uncertainty
Awards and Honors
- NSERC Discovery Grant, 2007-2012.
- The President's Research Grant, Simon Fraser University, 2006-2008.
- INFORMS George Nicholson Best Student Paper Competition, Finalist, 2005.
Teaching
- MATH 800 Special Topics in Continuous Optimization, Fall 2008, SFU.
- MACM 316 Numerical Analysis I, Spring 2008, SFU.
- MATH 309 Continuous Optimization, Fall 2007, SFU.
- MACM 201 Discrete Mathematics, Spring 2007, 2008, SFU.
- MATH 348 Probabilistic Models in Operations Research, Spring 2007, SFU.
- 21-112 Calculus II, Spring 2006, Carnegie Mellon.
- 21-690 Methods of Optimization, Fall 2005, Carnegie Mellon.
- ISyE4231 Engineering Optimization, Fall 2004, Georgia Tech.
Research Papers
- Z. Lu and R.D.C. Monteiro, Error Bounds andLimiting
Behavior of Weighted Paths Associated with the SDP Map $X^{1/2}SX^{1/2}$, SIAM Journal on Optimization, 15(2):348-374, 2004.
- C. Meneses, Z. Lu, C.A. Olivera and P.M. Pardalos, Optimal Solutions for the Closest-String Problem via Integer Programming
, INFORMS Journal on Computing, 16:419-429, 2004.
- Z. Lu and R.D.C. Monteiro, A Note on the Local
Convergence of a Predictor-Corrector Interior-Point Algorithm for the Semidefinite Linear Complementarity Problem Based on the Alizadeh-Haeberly-Overton
Search Direction, SIAM Journal on Optimization, 15(4):1147-1154, 2005.
- Z. Lu, R.D.C. Monteiro and J. O'Neal, An
Iterative Solver-Based Infeasible Primal-Dual Path-Following Algorithm for Convex Quadratic Programming, SIAM Journal on Optimization,
17(1):287-310, 2006.
- Z. Lu, A.S. Nemirovski and R.D.C. Monteiro,
Large-Scale Semidefinite Programming via Saddle Point Mirror-Prox Algorithm, Mathematical Programming,109(2):211-237, 2007.
- Z. Lu and R.D.C. Monteiro, A Modified
Nearly Exact Method for Solving Low-Rank Trust Region Subproblem, Mathematical Programming,109(2):385-411, 2007.
- Z. Lu and R.D.C. Monteiro, Limiting Behavior
of the Alizadeh-Haeberly-Overton Weighted Paths in Semidefinite Programming, Optimization Methods and Software, 22(5):849-870,
2007.
- M. Yuan, A. Ekici, Z. Lu and R.D.C. Monteiro,
Dimension Reduction and Coefficient Estimation in the Multivariate Linear Regression, Journal of the Royal Statistical Society,
Series B, 69(3):329-346, 2007.
- Y. Li, Z. Lu and J.J. Michalek, Diagonal Quadratic
Approximation for Parallelization of Analytical Target Cascading, ASME Journal of Mechanical Design, 130(5), 2008.
- Z. Lu, R.D.C. Monteiro and J. O'Neal,
An Iterative Solver-Based Long-Step Infeasible Primal-Dual Path-Following Algorithm for Convex QP Based on a Class of Preconditioners,
Optimization Methods and Software, 24(1):123-143, 2009.
- Z. Lu, Smooth Optimization Approach for Sparse Covariance
Selection, SIAM Journal on Optimization, 19(4):1807-1827, 2009.
(C and MATLAB codes)
- G. Lan, Z. Lu and R.D.C. Monteiro, Primal-dual
First-order Methods with ${\cal O}(1/\epsilon)$ Iteration-complexity for Cone Programming, to appear in Mathematical Programming
.
- Z. Lu, A Computational Study on Robust Portfolio Selection
Based on a Joint Ellipsoidal Uncertainty Set, to appear in Mathematical Programming.
- Z. Lu, Robust Portfolio Selection Based on a Joint Ellipsoidal
Uncertainty Set, to appear in Optimization Methods and Software.
- Z. Lu, Adaptive First-Order Methods for General Sparse Inverse Covariance
Selection, accepted in SIAM Journal on Matrix Analysis and Applications. (MATLAB code)
- Z. Lu, R.D.C. Monteiro and M. Yuan, Convex Optimization Methods
for Dimension Reduction and Coefficient Estimation in Multivariate Linear Regression, submitted (revised version).
- Z. Lu and Y. Zhang, An Augmented Lagrangian Approach for Sparse Principal
Component Analysis, submitted.(MATLAB
code)
- D. Zhang and Z. Lu, Assessing the
Value of Dynamic Pricing in Network Revenue Management, submitted.
- Z. Lu, Primal-Dual First-Order Methods for a Class of Cone Programming
with Application to the Dantzig Selector, submitted (revised version). (MATLAB code)
- Z. Lu, Minimizing Condition Number via Convex Programming, submitted.
Technical Reports
Current graduate students
To prospective graduate students:
I am currently recruiting well-motivated graduate students with research interest in optimization theory and/or appplication in finance, statistics and machine
learning. As an applicant, if your native language is not English or you do not hold a degree from any English speaking country, you must take TOEFL or IELTS exam,
and at least achieve scores 570 (paper-based) or 88 (computer-based). For the details of application, please visit the website:
http://www.math.sfu.ca/grad/prospective.shtml.
Other links
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