Associate Professor of Statistics
Email: dennisc@uic.edu.hk
Office: T3-601-R5

Academic & Professional Qualifications
  • 2001-2004, Doctor of Philosophy (Ph.D.) in Mathematics, City University of Hong Kong
  • 1998-2004, Master of Philosophy (M.Ph.) in Mathematics, City University of Hong Kong
  • 1995-1998, Bachelor Degree (B.Sc.) in Computing Math., City University of Hong Kong
  • 2000, Visiting Student, University of Iowa, Iowa, U.S.
Research Areas
  • Condition number
  • Linear programming
  • Probability and smoothed analysis
Selected Publications
  1. D. Cheung and F. Cucker, On the average condition of Linear Programs, SIAM J. Optim., 23(2), April 2013, Pages 799–810,
  2. D. Cheung and F. Cucker, Smoothed analysis of component-wise condition numbers for sparse matrices, IMA Journal of Numerical Analysis, Feb 2013,
  3. D. Cheung, F. Cucker, and J. Pena, On strata of degenerate polyhedral cones, II: Relations between condition measures, Journal of Complexity, Volume 26, Issue 2, April 2010, Pages 209-226
  4. D. Cheung, F. Cucker, and J. Pena, On strata of degenerate polyhedral cones I: condition and distance to strata, European Journal of Operational Research, Volume 198, Issue 1, 1 October 2009, Pages 23-28
  5. D. Cheung and F. Cucker, Component-wise condition numbers for random sparse matrices, SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 2, pp. 721-731 (2009)
  6. D. Cheung and F. Cucker, A condition number for multifold conic system, SIAM J. OPTM., Vol. 19, No. 1, pp.261-280 (2008).
  7. D. Cheung, F. Cucker and J. Pena, Solving linear programs with finite precision: II. Algorithm, Journal of complexity, 22, 305 – 335 (2006).
  8. D. Cheung, F. Cucker and R. Hauser, Tail decay and moment estimates of a condition number for random linear conic systems, SIAM J. OPTM., Vol. 15, No. 4, pp.1237-1261 (2005).
  9. D. Cheung and F. Cucker, A note on level-2 condition numbers, Journal of complexity, 21, 314-319 (2005).
  10. D. Cheung and F. Cucker, Solving linear programs with finite precision: I. Condition numbers and random program, Math. Program., Ser. A 99, 175-196 (2004).
  11. D. Cheung, F. Cucker and J. Pena, Unifying condition numbers for linear programming, Mathematics of Operation Research, vol.28, no.4, pp.609-624, November 2003.
  12. D. Cheung and F. Cucker, Learning from rounded-off data, Information and Computation 182, 1-13 (2003).
  13. D. Cheung and F. Cucker, Probabilistic Analysis of Condition Number for LP, Journal of Optimization Theory and Applications, vol. 114, no. 1, pp. 55-67, July 2002.
  14. D. Cheung and F. Cucker, A New Condition number for Linear Programming, Math. Program., Ser. A 91, 163-174 (2001).
Courses Taught at UIC
  • Mathematics for Business
  • Mathematics for Non-Science
  • Linear Algebra
  • Mathematics for Science
  • Simulation
  • Network and Transportation Models
  • Statistics for Business
  • Statistics for Non-Science
  • Statistics for Science
  • Final Year Project I (STAT)