Prasad Raghavendra is an Indian-American
theoretical computer scientist and mathematician, working in
optimization
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
,
complexity theory,
approximation algorithms
In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with provable guarantees on the distance of the returned solut ...
,
hardness of approximation In computer science, hardness of approximation is a field that studies the algorithmic complexity of finding near-optimal solutions to optimization problems.
Scope
Hardness of approximation complements the study of approximation algorithms by pro ...
and
statistics. He is a professor of computer science at the
University of California at Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant uni ...
.
Education
After completing a BSc at
IIT Madras
Indian Institute of Technology Madras (IIT Madras) is a public technical university located in Chennai, Tamil Nadu, India. As one of the Indian Institutes of Technology (IITs), it is recognized as an Institute of National Importance and has ...
in 2005, he obtained an MSc (2007) and PhD (2009) at the
University of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington.
Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seat ...
under the supervision of
Venkatesan Guruswami
Venkatesan Guruswami (born 1976) is a senior scientist at the Simons Institute for the Theory of Computing and Professor of EECS and Mathematics at the University of California, Berkeley. He did his high schooling at Padma Seshadri Bala Bhavan ...
. After a postdoctoral position at
Microsoft Research New England
Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technologi ...
, he became faculty at the
University of California at Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant uni ...
.
Career
Raghavendra showed that assuming the
unique games conjecture
In computational complexity theory, the unique games conjecture (often referred to as UGC) is a conjecture made by Subhash Khot in 2002.
The conjecture postulates that the problem of determining the approximate ''value'' of a certain type of ga ...
,
semidefinite programming Semidefinite programming (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function (a user-specified function that the user wants to minimize or maximize)
over the intersection of the cone of positiv ...
is the optimal algorithm for solving
constraint satisfaction problems.
Together with
David Steurer
David Steurer is a German theoretical computer scientist, working in approximation algorithms, hardness of approximation, sum of squares, and high-dimensional statistics. He is an associate professor of computer science at ETH Zurich.
Biography ...
, he developed the
small set expansion hypothesis
The small set expansion hypothesis or small set expansion conjecture in computational complexity theory is an unproven computational hardness assumption. Under the small set expansion hypothesis it is assumed to be computationally infeasible to d ...
, for which they won the Michael and Shiela Held Prize in 2018.
He developed
sum of squares In mathematics, statistics and elsewhere, sums of squares occur in a number of contexts:
Statistics
* For partitioning of variance, see Partition of sums of squares
* For the "sum of squared deviations", see Least squares
* For the "sum of squar ...
as a versatile algorithmic technique. Together with David Steurer, he gave an invited talk on the topic at the 2018
ICM.
References
{{DEFAULTSORT:Raghavendra, Prasad
Indian computer scientists
Indian mathematicians
Living people
University of Washington alumni
Year of birth missing (living people)
20th-century American mathematicians
21st-century American mathematicians