Award Abstract # 0916565
DC: Small: Data Streaming through a Complexity-Theoretic Lens

NSF Org: IIS
Division of Information & Intelligent Systems
Recipient: TRUSTEES OF DARTMOUTH COLLEGE
Initial Amendment Date: September 11, 2009
Latest Amendment Date: September 11, 2009
Award Number: 0916565
Award Instrument: Standard Grant
Program Manager: Frank Olken
IIS
 Division of Information & Intelligent Systems
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: September 1, 2009
End Date: August 31, 2013 (Estimated)
Total Intended Award Amount: $336,456.00
Total Awarded Amount to Date: $336,456.00
Funds Obligated to Date: FY 2009 = $336,456.00
History of Investigator:
  • Amit Chakrabarti (Principal Investigator)
    Amit.Chakrabarti@Dartmouth.edu
Recipient Sponsored Research Office: Dartmouth College
7 LEBANON ST
HANOVER
NH  US  03755-2170
(603)646-3007
Sponsor Congressional District: 02
Primary Place of Performance: Dartmouth College
7 LEBANON ST
HANOVER
NH  US  03755-2170
Primary Place of Performance
Congressional District:
02
Unique Entity Identifier (UEI): EB8ASJBCFER9
Parent UEI: T4MWFG59C6R3
NSF Program(s): DATA-INTENSIVE COMPUTING,
COMPLEXITY & CRYPTOGRAPHY
Primary Program Source: 01000910DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7752, 7793, 7923, 9150, 9216, HPCC
Program Element Code(s): 779300, 792700
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

The modern, highly digitized world is replete with human activities that generate copious streams of data on a seemingly-continuous basis. There is knowledge to be gained by suitably analyzing, mining and monitoring the wealth of information in these data streams. However, due to the sheer scale of the data involved, traditional algorithmic thinking is inadequate and one needs data streaming algorithms that can process inputs memory-efficiently in one, or a few, scanning passes, ideally operating in sync with data generation.

The area of data streaming algorithms, though dating back to about 1980, has truly come alive only in the last decade or so, with a wealth of algorithms having been developed for, e.g., various statistical analyses, geometric problems and graph-theoretic problems. An area rich with algorithmic ideas deserves sound theoretical underpinnings. Accordingly, this project shall investigate a number of fundamental questions in this area, focusing on the delineation of what can and cannot be achieved in this important computational model. By investigating foundational questions, rather than focusing too much on particular applications, the project's approach shall be that of algorithms-and-complexity theory.

Some representative research goals of this project are as follows. (1) Refining our understanding of the space complexity of various statistical measures, especially in the multi-pass setting. (2) Understanding the power of randomness in order-dependent streaming problems. (3) Proving lower bounds in stronger variants (extensions) of the basic stream model. (4) Attacking fundamental questions in communication complexity that lie at the heart of current open questions in data stream complexity.

Results obtained in the course of the project will be disseminated at international conferences, workshops and seminars at various institutions. The project's educational component shall consist of the development of a graduate-level course on data stream algorithms, covering the basics of the field and leading up to the most significant recent discoveries.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 11)
Amit Chakrabarti, Ranganath Kondapally "Everywhere-Tight Information Cost Tradeoffs for Augmented Index" Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques , v.6845 , 2011 , p.448 978-3-642-22934-3
Amit Chakrabarti, Ranganath Kondapally, Zhenghui Wang "Information Complexity versus Corruption and Applications to Orthogonality and Gap-Hamming" Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques , v.7408 , 2012 , p.483 978-3-642-32511-3
Arackaparambil, Chrisil; Bratus, Sergey; Shubina, Anna; Kotz, David; ACM "On the Reliability of Wireless Fingerprinting using Clock Skews" WISEC 10: PROCEEDINGS ON THE THIRD ACM CONFERENCE ON WIRELESS NETWORK SECURITY , 2010 , p.169-174
Brody, Joshua; Chakrabarti, Amit; Regev, Oded; Vidick, Thomas; de Wolf, Ronald; Serna, M; Shaltiel, R; Jansen, K; Rolim, J "Better Gap-Hamming Lower Bounds via Better Round Elimination" APPROXIMATION, RANDOMIZATION, AND COMBINATORIAL OPTIMIZATION: ALGORITHMS AND TECHNIQUES , v.6302 , 2010 , p.476-489
Chakrabarti, Amit; "A note on randomized streaming space bounds for the longest increasing subsequence problem" INFORMATION PROCESSING LETTERS , v.112 , 2012 , p.261-263
Chakrabarti, Amit; Cormode, Graham; Kondapally, Ranganath; McGregor, Andrew "INFORMATION COST TRADEOFFS FOR AUGMENTED INDEX AND STREAMING LANGUAGE RECOGNITION" SIAM JOURNAL ON COMPUTING , v.42 , 2013 , p.61-83
Chakrabarti, Amit; Cormode, Graham; Kondapally, Ranganath; McGregor, Andrew; IEEE Computer Society "Information Cost Tradeoffs for Augmented Index and Streaming Language Recognition" 2010 IEEE 51ST ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE , 2010 , p.387-396
Chakrabarti, Amit; Guruswami, Venkatesan; Wirth, Andrew; Wirth, Anthony "The query complexity of estimating weighted averages" ACTA INFORMATICA , v.48 , 2011 , p.417-426
Chakrabarti, Amit; Khot, Subhash "Combinatorial Theorems About Embedding Trees on the Real Line" JOURNAL OF GRAPH THEORY , v.67 , 2011 , p.153-168
Chakrabarti, Amit; Regev, Oded "AN OPTIMAL LOWER BOUND ON THE COMMUNICATION COMPLEXITY OF GAP-HAMMING-DISTANCE" SIAM JOURNAL ON COMPUTING , v.41 , 2012 , p.1299-1317
Chakrabarti, Amit; Regev, Oded; ACM SIGACT "An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance" STOC 11: PROCEEDINGS OF THE 43RD ACM SYMPOSIUM ON THEORY OF COMPUTING , 2011 , p.51-60
(Showing: 1 - 10 of 11)

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