Award Abstract # 1749750
AF: EAGER: Identifying Opportunities in Pseudorandomness

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: PRESIDENT AND FELLOWS OF HARVARD COLLEGE
Initial Amendment Date: September 11, 2017
Latest Amendment Date: September 11, 2017
Award Number: 1749750
Award Instrument: Standard Grant
Program Manager: Tracy Kimbrel
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: September 15, 2017
End Date: August 31, 2018 (Estimated)
Total Intended Award Amount: $125,000.00
Total Awarded Amount to Date: $125,000.00
Funds Obligated to Date: FY 2017 = $125,000.00
History of Investigator:
  • Salil Vadhan (Principal Investigator)
    salil_vadhan@harvard.edu
Recipient Sponsored Research Office: Harvard University
1033 MASSACHUSETTS AVE STE 3
CAMBRIDGE
MA  US  02138-5366
(617)495-5501
Sponsor Congressional District: 05
Primary Place of Performance: Harvard University
33 Oxford Street
Cambridge
MA  US  02138-2933
Primary Place of Performance
Congressional District:
05
Unique Entity Identifier (UEI): LN53LCFJFL45
Parent UEI:
NSF Program(s): Algorithmic Foundations
Primary Program Source: 01001718DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7916, 7927
Program Element Code(s): 779600
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

Pseudorandomness is the theory of generating objects that "look random" despite being constructed using little or no randomness. The computational theory of pseudorandomness originated in the foundations of cryptography in the early 1980s and has since developed into a rich subfield of theoretical computer science in its own right. The notions and constructs studied in the theory of pseudorandomness have implications for many different areas of research in computer science, communications, and mathematics.

This EArly-concept Grant for Exploratory Research (EAGER) project seeks to identify novel approaches to some of the most enduring and important challenges in pseudorandomness as well as opportunities for new applications of pseudorandomness. The research will be closely integrated with the PIs' educational efforts. In particular, the PIs will continue to develop new curricular, educational, and expository material that are made openly available for others to use. Graduate and undergraduate students will be involved in all phases of this research, and will be given opportunities to publish and present their results at premier international conferences. The PIs will also continue their extensive service to the scientific community.

Specifically, the project will try to uncover new approaches to topics such as:

1. The RL vs. L problem: trying to prove, unconditionally, that every randomized algorithm can be made deterministic with only a constant-factor loss in memory usage.

2. Cryptography: identifying optimally efficient constructions of cryptographic primitives from minimal assumptions.

3. Machine Learning: can pseudorandomness help in making machine learning robust to adversarial noise or to overfitting?

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Chen, Yi-Hsiu and Chung, Kai-Min Chung and Liao, Jyun-Jie Liao "On the Complexity of Simulating Auxiliary Input" Advances in Cryptology ? EUROCRYPT 2018 , v.10822 , 2018 https://doi.org/10.1007/978-3-319-78372-7_12 Citation Details
Chen, Yi-Hsiu and Göös, Mika and Vadhan, Salil P. and Zhang, Jiapeng "A Tight Lower Bound for Entropy Flattening" 33rd Computational Complexity Conference (CCC 2018) , v.102 , 2018 10.4230/LIPIcs.CCC.2018.23 Citation Details

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.

Pseudorandomness is the theory of generating objects that "look random" despite being constructed using little or no randomness. The computational theory of pseudorandomness originated in the foundations of cryptography in the early 1980s and has since developed into a rich subfield of theoretical computer science in its own right. The notions and constructs studied in the theory of pseudorandomness have implications for many different areas of research in computer science, communications, and mathematics.

This Early-concept Grant for Exploratory Research (EAGER) project identified novel approaches to some of the most enduring and important challenges in pseudorandomness as well as opportunities for new applications of pseudorandomness. These include:

  • Developing a new technique related to the long-standing “RL vs. L problem” --- which asks whether every randomized algorithm can be made deterministic with only a constant-factor loss in memory usage.  

  • Taking a significant step towards proving that known constructions of fundamental  cryptographic primitives from minimal assumptions have optimal efficiency.

  • Providing a quantitatively tight bound on how much leaking a small amount of information about a secret can help an adversary attacking a cryptographic scheme.

The research was closely integrated with the PIs' educational efforts.  The project provided research training to several PhD students, one undergraduate, and one postdoc.  During the project, the PIs also developed and revised undergraduate courses in theoretical computer science.


 


Last Modified: 12/19/2018
Modified by: Salil P Vadhan

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