Award Abstract # 1217462
AF: Small: Efficient Proximity and Similarity Search in Computational Geometry

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: UNIVERSITY OF ILLINOIS
Initial Amendment Date: June 6, 2012
Latest Amendment Date: June 6, 2012
Award Number: 1217462
Award Instrument: Standard Grant
Program Manager: Rahul Shah
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: September 1, 2012
End Date: August 31, 2017 (Estimated)
Total Intended Award Amount: $489,194.00
Total Awarded Amount to Date: $489,194.00
Funds Obligated to Date: FY 2012 = $489,194.00
History of Investigator:
  • Sariel Har-Peled (Principal Investigator)
    sariel@uiuc.edu
Recipient Sponsored Research Office: University of Illinois at Urbana-Champaign
506 S WRIGHT ST
URBANA
IL  US  61801-3620
(217)333-2187
Sponsor Congressional District: 13
Primary Place of Performance: University of Illinois at Urbana-Champaign
201 N. Goodwin Avenue
Urbana
IL  US  61801-2302
Primary Place of Performance
Congressional District:
13
Unique Entity Identifier (UEI): Y8CWNJRCNN91
Parent UEI: V2PHZ2CSCH63
NSF Program(s): Algorithmic Foundations
Primary Program Source: 01001213DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7923, 7929
Program Element Code(s): 779600
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

This award funds research to develop faster and better algorithms for handling data, and specifically geometric data. With the massive amount of data in the world nowadays, standard algorithms fall short. The PI and his students investigate ways to improve geometric search for nearest neighbor, clustering, data-compression, and similarity search between curves, especially for massive amount of data. Such algorithms are widely used in the real world to handle navigation tasks, pattern recognition, signature identification, etc.

The algorithms and insights obtained from the technical work will benefit Computer Science and related disciplines where geometric algorithms are widely used. The PI hopes to broaden the scope of Computer Science (and Computational Geometry) by introducing new techniques, that would lead to faster and better algorithms. A complementary goal is also to introduce Computer Science techniques into other fields.

The award will support and train two or more PhD students in Computer Science at UIUC. The PI is committed to popularizing ideas and techniques that will be investigated by giving courses, publishing the research, and using less convectional new tools to disseminate the research such as blogs, social media, and online videos.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 31)
A. Driemel and S. {Har-Peled} "Jaywalking your Dog -- Computing the {Fr\'{e}chet} Distance with Shortcuts" SIAM J. Comput. , v.42 , 2013 , p.1830--186 10.1137/120865112
A. Driemel and S. {Har-Peled} "Jaywalking your Dog -- Computing the {Fr\'{e}chet} Distance with Shortcuts" SIAM J. Comput. , v.42 , 2013 , p.1830--186 10.1137/120865112
Anne Driemel and Sariel Har{-}Peled and Benjamin Raichel "On the Expected Complexity of {Voronoi} Diagrams on Terrains" ACM Trans. Algo. , v.12 , 2016 , p.37 10.1145/2846099
Anne Driemel and Sariel Har{-}Peled and Benjamin Raichel "On the Expected Complexity of {Voronoi} Diagrams on Terrains" ACM Trans. Algo. , v.12 , 2016 , p.37 10.1145/2846099
H.-C. Chang and S. {Har-Peled} and B. {Raichel} "From Proximity to Utility: A {Voronoi} Partition of {Pareto} Optima" CoRR , v.abs/140 , 2014
Hsien{-}Chih Chang and Sariel Har{-}Peled and Benjamin Raichel "From Proximity to Utility: {A} Voronoi Partition of Pareto Optima" Discrete Comput. Geom. , v.56 , 2016 , p.631--656 10.1007/s00454-016-9808-0
O. Cheong and S. Har{-}Peled and H. Kim and H. Kim "On the Number of Edges of Fan-Crossing Free Graphs" Algorithmica , v.73 , 2015 , p.673--695 10.1007/s00453-014-9935-z
Pankaj K. Agarwal and Boris Aronov and Sariel Har{-}Peled and Jeff M. Phillips and Ke Yi and Wuzhou Zhang "Nearest-Neighbor Searching Under Uncertainty {II}" ACM Trans. Algo. , v.13 , 2016 , p.3:1--3:25 10.1145/2955098
Pankaj K. Agarwal and Sariel Har{-}Peled and Subhash Suri and Hakan Yildiz and Wuzhou Zhang "Convex Hulls Under Uncertainty" Algorithmica , v.79 , 2017 , p.340--367 10.1007/s00453-016-0195-y
P. K. Agarwal and S. Har{-}Peled and H. Kaplan and M. Sharir "Union of Random {Minkowski} Sums and Network Vulnerability Analysis" Discrete Comput. Geom. , v.52 , 2014 , p.551--582 10.1007/s00454-014-9626-1
P. K. Agarwal and S. Har{-}Peled and H. Kaplan and M. Sharir "Union of Random {Minkowski} Sums and Network Vulnerability Analysis" Discrete Comput. Geom. , v.52 , 2014 , p.551--582 10.1007/s00454-014-9626-1
(Showing: 1 - 10 of 31)

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

This research project studied problems related to proximity search in geometric settings - such tasks are fundamental tasks in real world applications, ranging from web search, machine learning, data-mining and others.

We developed new algorithms addressing issues such as (i) how to search on huge data-sets by efficient algorithms that work in time proportional to the data set size, (ii) how to shrink it and perform proximity search on it, (iii) finding sparse representation of data, (iv) how to model proximity for data that is randomly generated, (v) how to do proximity search on combination of input points, (vi) what kind of search can be done if we are allowed to ignore some feature in the data, and (vii) others.

This project had resulted in a significant progress of the state of the art algorithms for proximity search. Highlights of this project includes: (i) the development of the net & prune technique for solving geometric optimization problems, (ii) defined and studied the problem of proximity search in robust settings, and in particular suggested way to model noise for this purpose.

Several graduate students were trained as part of this grant, two of them currently hold faculty positions in US universities. The research done for this project resulted in the publication of 33 papers in prestigious conferences and journals.


Last Modified: 10/06/2017
Modified by: Sariel Har-Peled

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