Publications (in reverse chronological order)
- Inference from Sparse Sampling
(with Yuval Rabani
and Leonard Schulman).
-
Algorithms for Probabilistically-Constrained Models of Risk-Averse Stochastic
Optimization with Black-Box Distributions.
An older version can be found on the CS arXiv; a newer version will be posted soon.
-
Approximation Algorithms for Single-minded Envy-free Profit-maximization Problems
with Limited Supply (with Maurice Cheung).
Proceedings of FOCS 2008, pages 35-44.
ps or pdf.
Slides: Long version (ppt).
Presented at the
Eastern Great Lakes Theory
Workshop; Tutte seminar at the University of Waterloo, September 2008.
-
Approximation Algorithms for Labeling Hierarchical Taxonomies
(with Yuval Rabani
and Leonard Schulman).
Proceedings of SODA 2008, pages 671-680.
ps or pdf.
-
Truthful Mechanism Design for Multidimensional Scheduling via Cycle Monotonicity
(with Ron Lavi).
Accepted to Games and Economic Behavior.
Special issue devoted to selected papers from EC 2007.
Preliminary version in Proceedings of EC 2007, pages 252-261.
Journal version ps, pdf
or conference version ps, pdf.
-
The Effectiveness of Stackelberg Strategies and Tolls for Network Congestion Games.
Proceedings of SODA 2007, pages 1133-1142.
ps or pdf.
Slides: Short version (ppt).
Presented at SODA, January 2007.
-
Approximation Algorithms for Prize Collecting Steiner Forest Problems with Submodular
Penalty Functions
(with Yogeshwer Sharma
and David Williamson).
Proceedings of SODA 2007, pages 1275-1284.
ps or pdf.
Slides: Long version (ppt).
Presented at the Combinatorial Optimization Seminar at the University of Waterloo, February 2007.
-
The Effectiveness of Lloyd-Type Methods for the k-Means Problem
(with Rafail Ostrovsky,
Yuval Rabani and
Leonard Schulman).
Proceedings of FOCS 2006, pages 165-174.
Detailed version ps, pdf
or conference version ps, pdf.
Slides: Long version (ppt) or
short version (ppt).
Presented at FOCS, October 2006; Algorithms and Complexity Seminar at University of
Waterloo, November 2006.
-
Approximation Algorithms for Graph Homomorphism Problems
(with Michael Langberg and
Yuval Rabani).
Proceedings of APPROX 2006, pages 176-187.
ps or pdf.
Slides: Long version (ppt).
Presented at the Combinatorial Optimization Seminar at the University of Waterloo, November 2006.
-
Approximation Algorithms for 2-Stage Stochastic Optimization Problems
(with David Shmoys).
Survey article in ACM SIGACT News, 37(1):33-46, March 2006.
ps or pdf.
See also a (slightly) shorter survey that appeared in Proceedings of FSTTCS 2006,
pages 5-19.
ps or pdf.
Slides (ppt) from a survey talk given at
the Aladdin Workshop
on Flexible Network Design, November 2005.
-
Truthful and Near-optimal Mechanism Design via Linear Programming
(with Ron Lavi).
Proceedings of FOCS 2005, pages 595-604.
A more detailed version ps,
pdf or
conference version ps, pdf.
Slides: Long version (ppt) or a (slightly)
shorter version (ppt).
Presented at FOCS, October 2005; Theory seminars at Caltech, November 2005 and IBM
Yorktown Heights, December 2005; Tutte seminar at the University of Waterloo,
November 2006; INFORMS Annual Meeting (invited talk), November 2007.
-
Sampling-based Approximation Algorithms for Multi-stage Stochastic Optimization
(with David Shmoys).
Proceedings of FOCS 2005, pages 357-366.
Detailed version ps, pdf
or conference version ps, pdf.
Note: There was a subtle error in the definition of the grid in the conference
version, which has been corrected in the detailed version posted above. This
error has also been corrected in the unpublished manuscript below on "The Sample
Average Approximation Method for 2-stage Stochastic Optimization".
Slides: Long version (ppt) or a
(slightly) shorter version (ppt).
Presented at FOCS, October 2005; Oberwolfach
Workshop on Combinatorial Optimization, November 2005;
Dagstuhl
Workshop on Probabilistic Methods in the Design and Analysis of Algorithms, October 2007.
-
The Sample Average Approximation Method for 2-stage Stochastic Optimization
(with David Shmoys).
Unpublished manuscript, 2004.
ps or pdf.
-
Network Design for Information Networks
(with Ara Hayrapetyan and
Éva Tardos).
Proceedings of SODA 2005, pages 933-942.
ps or pdf.
Slides: Short version (ppt).
Presented at the Bertinoro Workshop on Models and Algorithms for Information Networks
(MAIN), October 2004; INFORMS Annual Meeting (invited talk), November 2005.
-
An Approximation Scheme for Stochastic Linear Programming and its Application to
Stochastic Integer Programs (with David Shmoys).
Journal of the ACM, 53(6):978-1012, 2006.
Preliminary version appeared as "Stochastic Optimization is (almost) as Easy as
Deterministic Optimization" in Proceedings of FOCS 2004, pages 228-237.
(Invitation to special issue of SIAM Journal on Computing declined.)
Journal version ps, pdf
or conference version ps, pdf.
See also my PhD thesis.
Slides: Long version (ppt) or
short version (ppt).
Presented at Cornell University; CMI Fall 2004 Retreat; 10th International Conference on
Stochastic Programming (SPX), 2004; FOCS 2004; Dagstuhl
Seminar on Algorithms for Optimization with Incomplete Information, 2005; Theory
and IEOR seminars at the University of Rome "La Sapienza", MIT, Brown University, IBM
Yorktown Heights, Columbia University.
-
Optimal Power-down Strategies
(with John Augustine and
Sandy Irani).
SIAM Journal on Computing, 37(5):1499-1516, 2008.
Preliminary version appeared in Proceedings of FOCS 2004, pages 530-539.
Journal version ps, pdf
or conference version ps, pdf.
Slides: Short version (ppt).
Presented at FOCS, Rome, October 2004.
-
Approximation Algorithms for Data Placement Problems
(with Ivan Baev and
Rajmohan Rajaraman).
SIAM Journal on Computing, 38(4):1411-1429, 2008.
Merger of two papers: "Approximation Algorithms for Data Placement in Arbitrary Networks",
SODA 2001, and an unpublished manuscript, "Algorithms for Data Placement Problems",
2004.
Journal version ps or
pdf.
-
LP-based Approximation Algorithms for Capacitated Facility Location
(with Retsef Levi and
David Shmoys).
Proceedings of IPCO 2004, pages 206-218.
ps or pdf.
Slides: Short version (ppt).
Presented at IPCO, New York, June 2004.
-
Correlation Clustering: Maximizing Agreements via Semidefinite Programming.
Proceedings of SODA 2004, pages 519-520.
ps or pdf.
Won the Best Student Paper Award.
Slides: Short version (ppt).
Presented at the Theory Seminar at Cornell, November 2003 and at SODA, New Orleans, January 2004.
-
Facility Location with Service Installation Costs
(with David Shmoys and
Retsef Levi).
Proceedings of SODA 2004, pages 1081-1090.
ps or pdf.
Slides: Short version (ppt).
Presented at SODA, New Orleans, January 2004.
-
Fault-Tolerant Facility Location
(with David Shmoys).
ACM Transactions on Algorithms, 4(4), article no. 51, August 2008.
Preliminary version appeared in Proceedings of SODA 2003, pages 735-736.
Journal version ps, pdf
or conference version ps, pdf.
Slides: Long version (ppt) or
short version (ppt).
Presented at the Theory Seminar at Cornell, April 2002 and at SODA, Baltimore, January 2003.
-
Primal-Dual Algorithms for Connected Facility Location Problems
(with Amit Kumar).
Algorithmica, 40(4):245-269, 2004.
Special issue devoted to selected papers from APPROX 2002.
Preliminary version in Proceedings of APPROX 2002, pages 256-269.
Journal version ps, pdf
or conference version ps, pdf.
Slides: Long version (ppt) or a (slightly)
shorter version (ppt).
Presented at the Algorithms Seminar at the
Max-Planck-Institut für Informatik, Saarbrücken, August 2002;
APPROX, Rome, September 2002; Theory Seminar at Cornell, October 2002;
Integrated Logistics Workshop (an ALADDIN PROBE) at Princeton, October 2002.
-
A Randomized Algorithm for Flow Shop Scheduling
(with Naveen Garg and
Sachin Jain).
Proceedings of FSTTCS 1999, pages 213-218.
ps or pdf.
-
Approximation Algorithms for Clustering Problems.
PhD Thesis,
Dept. of Computer Science,
Cornell University, May 2004.
ps or pdf.
Note: There was a small error in Lemma 2.4.1 in the earlier version. As a result,
one has to use a slightly different cluster-selection rule in the demand-oblivious
primal-rounding algorithm, and the approximation factor increases to 1.858.
This correspondingly affects the approximation ratios of the algorithms for 2-stage
stochastic UFL (Chapter 4), and 2-stage stochastic FLSIC (Section 5.6).
The version posted here is the corrected version.
-
Improving the Quality vs. Time Ratio of Graph-Cut Based Algorithms for Visual
Correspondence.
Unpublished manuscript, 2002.
-
Scheduling Algorithms.
Undergraduate (B. Tech.) Thesis,
Dept. of Computer Science,
Indian Institute of Technology, Delhi, May 1999.
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