Shu Lu's publications

Refereed Book Chapters

  1. X. Ban, S. Lu, M. Ferris and H. Liu. Risk-averse second-best toll pricing.
    In Transportation and Traffic Theory 2009: Golden Jubilee, edited by William H. K. Lam, S. C. Wong, Hong K. Lo. Springer, 2009, pp. 197–218

Refereed Journal Papers

  1. S. Lu. Symmetric confidence regions and confidence intervals for normal map formulations of stochastic variational inequalities.
    To appear in SIAM Journal on Optimization
  2. S. Lu and A. Budhiraja. Confidence regions for stochastic variational inequalities.
    Mathematics of Operations Research. 2013, Vol. 38, No. 3, pp. 545–568
  3. X. Ban, M. Ferris, L. Tang and S. Lu. Risk-Neutral Second Best Toll Pricing.
    Transportation Research Part B. 2013, Vol. 48, pp. 67–87
  4. S. Lu. A new method to build confidence regions for solutions of stochastic variational inequalities.
    Optimization
    , 2012, http://www.tandfonline.com/doi/abs/10.1080/02331934.2012.727556
  5. S. Lu. Relation between the constant rank and the relaxed constant rank constraint qualifications.
    Optimization2012, Vol. 61, No. 5, pp. 555-566
  6. S. Lu and S. Singh. Local linear convergence of an outer approximation projection method for variational inequalities.
    Journal of Optimization Theory and Application, 2011, Vol. 151, No. 1 pp. 52-63
  7. S. Lu. Implications of the constant rank constraint qualification.
    Mathematical Programming Series A, 2011, Vol. 126, No. 2, pp. 365–392
  8. S. Lu. Variational conditions under the constant rank constraint qualification.
    Mathematics of Operations Research, 2010, Vol. 35, No. 1, pp. 120–139
  9. S. Lu and Y. (M.) Nie. Stability of user-equilibrium route flow solutions for the traffic assignment problem.
    Transportation Research Part B, 2010, Vol. 44, pp. 609–617
  10. S. Lu. Sensitivity of static traffic user equilibria with perturbations in arc cost function and travel demand.
    Transportation Science, 2008, Vol. 42, No. 1, pp. 105-123
  11. S. Lu and S. M. Robinson. Variational inequalities over perturbed polyhedral convex sets.
    Mathematics of Operations Research, 2008, Vol. 33, pp. 689-711
  12. S. Lu and S. M. Robinson. Normal fans of polyhedral convex sets: structures and connections.
    Set-valued Analysis, 2008, Vol. 16, pp. 281-305
  13. S. M. Robinson and S. Lu. Solution continuity in variational conditions.
    Journal of Global Optimization, 2008, Vol. 40, pp. 405-415
  14. S. Lu, H. Lu, H. Tang and J. Lu. Analysis of influencing factors on urban travel speed.
    Journal of Highway and Transportation Research and Development, 2003, Vol.20, No.1, p.110-113 (in Chinese)
  15. S. Lu and H. Lu. Capacity method for uncontrolled intersections.
    Journal of Highway and Transportation Research and Development, 2002, Vol.19, No.2, p. 89-92 (in Chinese)

Papers Submitted or in Revision

  1. L. Zhang, S. Lu and J. S. Marron. Nested nonnegative cone analysis. (Arxiv link)
  2. M. Lamm, S. Lu and A. Budhiraja. Individual confidence intervals for true solutions to stochastic variational inequalities.

Working Papers

  1. S. Lu and Y. Liu. Confidence intervals and regions for the Lasso using stochastic variational inequality techniques in optimization
  2. M. Lamm and S. Lu. Confidence interval computation for stochastic variational inequalities and stochastic Cournot–Nash equilibria
  3. L. Yin, S. Lu and Y. Liu. Construction of confidence intervals along the Lasso solution path
  4. L. Yin, S. Lu and Y. Liu. Confidence regions and intervals for sparse penalized regression with random designs