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Amitabh Basu

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Papers (47)

  1. Sample Complexity of Stochastic Optimization with Integer Variables cs.LG · 2026 · author #4
  2. An exposition of special relativity without appeal to "constancy of speed of light" hypotheses physics.hist-ph · 2018 · author #1
  3. Mixed-integer bilevel representability math.OC · 2018 · author #1
  4. Can cut generating functions be good and efficient? math.OC · 2018 · author #1
  5. An extreme function which is nonnegative and discontinuous everywhere math.OC · 2018 · author #1
  6. Mixed-integer linear representability, disjunctions, and Chvatal functions --- modeling implications math.OC · 2017 · author #1
  7. Lower bounds over Boolean inputs for deep neural networks with ReLU gates cs.CC · 2017 · author #2
  8. Probabilistic Cross-identification of Multiple Catalogs in Crowded Fields astro-ph.IM · 2017 · author #3
  9. Optimal cutting planes from the group relaxations math.OC · 2017 · author #1
  10. Approximation of Minimal Functions by Extreme Functions math.OC · 2017 · author #2
  11. Sparse Coding and Autoencoders cs.LG · 2017 · author #3
  12. Approximation of corner polyhedra with families of intersection cuts math.OC · 2017 · author #2
  13. Extreme functions with an arbitrary number of slopes math.OC · 2017 · author #1
  14. Minimal cut-generating functions are nearly extreme math.OC · 2017 · author #1
  15. A geometric approach to cut-generating functions math.OC · 2017 · author #1
  16. Characterization of the Split Closure via Geometric Lifting math.OC · 2017 · author #1
  17. Unique lifting of integer variables in minimal inequalities math.OC · 2017 · author #1
  18. A Counterexample to a Conjecture of Gomory and Johnson math.OC · 2017 · author #1
  19. Intersection Cuts with Infinite Split Rank math.OC · 2017 · author #1
  20. Experiments with two-row cuts from degenerate tableaux math.OC · 2017 · author #1
  21. Convex Sets and Minimal Sublinear Functions math.MG · 2017 · author #1
  22. Maximal lattice-free convex sets in linear subspaces math.OC · 2017 · author #1
  23. Minimal inequalities for an infinite relaxation of integer programs math.OC · 2017 · author #1
  24. On the Relative Strength of Split, Triangle and Quadrilateral Cuts math.OC · 2017 · author #1
  25. Mixed-integer linear representability, disjunctions, and variable elimination math.OC · 2016 · author #1
  26. The structure of the infinite models in integer programming math.OC · 2016 · author #1
  27. Understanding Deep Neural Networks with Rectified Linear Units cs.LG · 2016 · author #2
  28. Optimality certificates for convex minimization and Helly numbers math.OC · 2016 · author #1
  29. Probabilistic Cross-Identification in Crowded Fields as an Assignment Problem astro-ph.IM · 2016 · author #2
  30. Non-unique lifting of integer variables in minimal inequalities math.OC · 2016 · author #1
  31. Galaxy Redshifts from Discrete Optimization of Correlation Functions astro-ph.IM · 2016 · author #3
  32. Computing approximate PSD factorizations cs.DS · 2016 · author #1
  33. Centerpoints: A link between optimization and convex geometry math.OC · 2015 · author #1
  34. Strong duality and sensitivity analysis in semi-infinite linear programming math.OC · 2015 · author #1
  35. Light on the Infinite Group Relaxation math.OC · 2014 · author #1
  36. Operations that preserve the covering property of the lifting region math.OC · 2014 · author #1
  37. Lifting properties of maximal lattice-free polyhedra math.OC · 2014 · author #2
  38. Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. III. Foundations for the k-Dimensional Case with Applications to k=2 math.OC · 2014 · author #1
  39. On the sufficiency of finite support duals in semi-infinite linear programming math.OC · 2013 · author #1
  40. Projection: A Unified Approach to Semi-Infinite Linear Programs and Duality in Convex Programming math.OC · 2013 · author #1
  41. Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. II. The Unimodular Two-Dimensional Case math.OC · 2012 · author #1
  42. Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. I. The One-Dimensional Case math.OC · 2012 · author #1
  43. On Chubanov's method for Linear Programming math.OC · 2012 · author #1
  44. The Triangle Closure is a Polyhedron math.OC · 2011 · author #1
  45. A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation math.OC · 2011 · author #1
  46. Algorithmic and Complexity Results for Cutting Planes Derived from Maximal Lattice-Free Convex Sets math.OC · 2011 · author #1
  47. Unique Minimal Liftings for Simplicial Polytopes math.OC · 2011 · author #1

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