Daniel Dadush

Office: Room M234
Phone: +31 20 592 4210
Email: dadush AT cwi DOT nl

Announcements:

• I was awarded an ERC Starting grant for the project "Towards a Quantitative Theory of Integer Programming" (see link for the press release). The project will start in January 2019 and run for 5 years. I am now looking for 2 talented PhD students and one Postdoc. Please see the official openings here (application deadline is December 15th): Phd Positions and Postdoc Position.

Events:

• I organized a workshop on Discrepancy Theory and Integer Programming, June 11-15 at CWI. Slides for the talks are available on the website.

Students and Interns:

• Ph.D.:
  • Sophie Huiberts.
  • Huck Bennett (joint with Chee Yap). Graduated August 2017. Currently Postdoc @ Northwestern University.
• M.Sc.:
  • Sophie Huiberts. Graduated December 2017.
• Interns:
  • Huck Bennett . Fall 2016.
  • Venkata Gandikota . Fall 2016.

Teaching:

• Spring 2018: Introduction to Lattice Algorithms and Cryptography. Co-Instructor: Leo Ducas. Mastermath announcement. Course webpage: link.
• Spring 2017: Advanced Topics in Semidefinite Programming. Co-Instructor: Nikhil Bansal. Mastermath announcement. Course webpage: link.
• Spring 2016: Algorithms Beyond the Worst-Case. Co-Instructor: Bodo Monthey. Mastermath Announcement. Course webpage: link.
• Spring 2013: Lattices, Convexity and Algorithms. Co-Instructor: Oded Regev. New York University (graduate: CSCI-GA 3033-013).

N&O Optimization Seminar:

Research Interests:

• Lattice Algorithms and the Geometry of Numbers
• Linear Programming and the Simplex Method
• Extended Formulations
• Algorithms for Integer Programming, Cutting Plane Methods
• Convex Optimization
• Asymptotic Convex Geometry (properties of convex bodies as dimension tends to infinity)

Research Grants:

• NWO Veni Grant: New Frontiers in Lattice Algorithms and Design, 2015 - 2018.

Research Awards:

• A.W. Tucker Prize for Best Thesis in Mathematical Optimization, 2015. Citation: link.
• Informs Optimization Society Student Paper Prize, 2011.
• Informs JFIG Paper Competition, Finalist, 2010 & 2011.

Research Publications:

Preprints:

1. On Approximating the Covering Radius and Finding Dense Lattice Subspaces (slides)
   D. Dadush. Manuscript, 2018.

Conference & Journal Publications:

1. AWGN-Goodness is Enough: Capacity-Achieving Lattice Codes based on Dithered Probabilistic Shaping
   A. Campello, D. Dadush, C. Long. To appear in the IEEE Transactions on Information Theory, 2018.
2. Balancing Vectors in Any Norm.
   D. Dadush, S. Nikolov, K. Talwar, N. Tomczak-Jaegermann. FOCS 2018.
3. A Friendly Smoothed Analysis of the Simplex Method
   D. Dadush, S. Huiberts. STOC 2018 (invited to SICOMP special edition).
4. The Gram-Schmidt Walk: A Cure for the Banaszczyk Blues
   N. Bansal, D. Dadush, S. Garg, S. Lovett. STOC 2018 (invited to TOC).
5. Lattice based Locality Sensitive Hashing is Optimal (extended abstract)
   C. Chandrasekaran, D. Dadush, E. Grigorescu, V. Gandikota. ITCS 2018.
6. Geometric Rescaling Algorithms for Submodular Function Minimization
   D. Dadush, L. Végh, G. Zambelli. SODA 2018.
7. Fast, Deterministic and Sparse Dimensionality Reduction
   D. Dadush, C. Guzman, N. Olver. SODA 2018.
8. Rescaling Algorithms for Linear Conic Feasibility
   D. Dadush, L. Végh, G. Zambelli. Preliminary version "Rescaled Coordinate Descent Methods for Linear Programming" in IPCO 2016.
9. Towards Strong Reverse Minkowski Type Inequalities for Lattices
   D. Dadush, O. Regev. FOCS 2016.
10. An Algorithm for the Komlós Conjecture Matching Banaszczyk's Bound
    N. Bansal, D. Dadush, S. Garg. FOCS 2016.
11. Towards a Constructive Version of Banaszczyk's Vector Balancing Theorem
    D. Dadush, S. Garg, S. Lovett, A. Nikolov. RANDOM 2016.
12. On the Lattice Distortion Problem
    H. Bennett, D. Dadush, N. Stephens-Davidowitz. ESA 2016.
13. Solving the Closest Vector Problem in 2^n Time: The Discrete Gaussian Strikes Again! (slides)
    D. Aggarwal, D. Dadush, N. Stephens-Davidowitz. FOCS 2015.
14. Solving the Shortest Vector Problem in 2^n Time via Discrete Gaussian Sampling (slides)
    D. Aggarwal, D. Dadush, O. Regev, N. Stephens-Davidowitz. STOC 2015.
15. Faster Deterministic Volume Estimation in the Oracle Model via Thin Lattice Coverings (slides)
    D. Dadush. SOCG 2015.
16. On the Shadow Simplex Method for Curved Polyhedra (slides)
    D. Dadush, N. Hähnle. Discrete & Computational Geometry, 1-28, 2016.
    Preliminary version in SOCG 2015.
17. Short Paths on the Voronoi Graph and the Closest Vector Problem with Preprocessing (slides)
    N. Bonifas, D. Dadush. SODA 2015.
18. On the Closest Vector Problem with a Distance Guarantee
    D. Dadush, O. Regev, N. Stephens-Davidowitz. CCC 2014.
19. On the existence of 0/1 polytopes with High Semidefinite Extension Complexity (slides)
    J. Briet, D. Dadush, S. Pokutta. Mathematical Programming, Series B, 153, 179-199, 2015.
    Preliminary version in ESA 2013.
20. On the Lattice Smoothing Parameter Problem (slides)
    K.M. Chung, D. Dadush, F.H. Liu, C. Peikert. CCC 2013.
21. Lattice Sparsification and the Approximate Closest Vector Problem (slides)
    D. Dadush, G. Kun. Theory of Computing, 12, 1-34, 2016. Preliminary version in SODA 2013.
22. Algorithms for the Densest Sublattice Problem
    D. Dadush, D. Micciancio. SODA 2013
23. Near-Optimal Deterministic Algorithms for Volume Computation via M-Ellipsoids (slides)
    D. Dadush, S. Vempala. Proceedings of the National Academy of Sciences, 110, 19237-19245, 2013.
24. Unconditional Differentially Private Mechanisms for Linear Queries
    A. Bhaskara, D. Dadush, R. Krishnaswamy, K. Talwar. STOC 2012.
25. A Randomized Sieving Algorithm for Approximate Integer Programming (slides)
    D. Dadush. Algorithmica, 70, 208-244, 2014.
    Preliminary version in LATIN 2012.
26. Deterministic Construction of an Approximate M-Ellipsoid and its Applications to Derandomizing Lattice Algorithms
    D. Dadush, S. Vempala. SODA 2012.
27. On the Chvátal-Gomory Closure of a Compact Convex Set (slides)
    D. Dadush, S.S. Dey, J.P. Vielma. Mathematical Programming, Series B, 145, 1, 327-348, 2014.
    Preliminary version in IPCO 2011.
    Optimization Society Student Paper Prize, 2011.
28. The Split Closure of a Strictly Convex Body
    D. Dadush, S.S. Dey, J.P. Vielma. Operations Research Letters, vol. 39, p. 121-126, 2011.
29. The Chvátal-Gomory Closure of a Strictly Convex Body
    D. Dadush, S.S. Dey, J.P. Vielma. Mathematics of Operations Research, vol. 36, p. 227-239, 2011.
    INFORMS JFIG Paper Competition Finalist.
30. Enumerative Lattice Algorithms in Any Norm via M-Ellipsoid Coverings (slides)
    D. Dadush, C. Peikert, S. Vempala. FOCS 2011.
31. Thin Partitions: Isoperimetric Inequalities and a Sampling Algorithm for Star Shaped Bodies
    D. Dadush, C. Chandresekaran, S. Vempala. SODA 2010.

PhD Thesis:

• Integer Programming, Lattice Algorithms, and Deterministic Volume Estimation