Related Research Articles
A Fast Fourier Transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing a sequence of values into components of different frequencies. This operation is useful in many fields, but computing it directly from the definition is often too slow to be practical. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse factors. As a result, it manages to reduce the complexity of computing the DFT from , which arises if one simply applies the definition of DFT, to , where n is the data size. The difference in speed can be enormous, especially for long data sets where n may be in the thousands or millions. In the presence of round-off error, many FFT algorithms are much more accurate than evaluating the DFT definition directly or indirectly. There are many different FFT algorithms based on a wide range of published theories, from simple complex-number arithmetic to group theory and number theory.
Shafrira Goldwasser is an Israeli-American computer scientist and winner of the Turing Award in 2012. She is the RSA Professor of Electrical Engineering and Computer Science at Massachusetts Institute of Technology; a professor of mathematical sciences at the Weizmann Institute of Science, Israel; the director of the Simons Institute for the Theory of Computing at the University of California, Berkeley; and co-founder and chief scientist of Duality Technologies.
Charles Eric Leiserson is a computer scientist and professor at Massachusetts Institute of Technology (M.I.T.). He specializes in the theory of parallel computing and distributed computing.
Shmuel Winograd was an Israeli-American computer scientist, noted for his contributions to computational complexity. He has proved several major results regarding the computational aspects of arithmetic; his contributions include the Coppersmith–Winograd algorithm and an algorithm for the fast Fourier transform which transforms it into a problem of computing convolutions which can be solved with another Winograd's algorithm.
Éva Tardos is a Hungarian mathematician and the Jacob Gould Schurman Professor of Computer Science at Cornell University.
Paris Christos Kanellakis was a Greek American computer scientist.
ACM SIGACT or SIGACT is the Association for Computing Machinery Special Interest Group on Algorithms and Computation Theory, whose purpose is support of research in theoretical computer science. It was founded in 1968 by Patrick C. Fischer.
Noga Alon is an Israeli mathematician and a professor of mathematics at Princeton University noted for his contributions to combinatorics and theoretical computer science, having authored hundreds of papers.
Umesh Virkumar Vazirani is an Indian–American academic who is the Roger A. Strauch Professor of Electrical Engineering and Computer Science at the University of California, Berkeley, and the director of the Berkeley Quantum Computation Center. His research interests lie primarily in quantum computing. He is also a co-author of a textbook on algorithms.
Gary Lee Miller is a professor of Computer Science at Carnegie Mellon University, Pittsburgh, United States. In 2003 he won the ACM Paris Kanellakis Award for the Miller–Rabin primality test. He was made an ACM Fellow in 2002 and won the Knuth Prize in 2013.
Constantinos Daskalakis is a Greek theoretical computer scientist. He is a professor at MIT's Electrical Engineering and Computer Science department and a member of the MIT Computer Science and Artificial Intelligence Laboratory. He was awarded the Rolf Nevanlinna Prize and the Grace Murray Hopper Award in 2018.
Pavel Arkadevich Pevzner is the Ronald R. Taylor Professor of Computer Science and director of the NIH Center for Computational Mass Spectrometry at University of California, San Diego. He serves on the editorial board of PLoS Computational Biology and he is a member of the Genome Institute of Singapore scientific advisory board.
Santosh Vempala is a prominent computer scientist. He is a Distinguished Professor of Computer Science at the Georgia Institute of Technology. His main work has been in the area of Theoretical Computer Science.
Dina Katabi, born 1970, is the Andrew and Erna Viterbi Professor of Electrical Engineering and Computer Science at MIT and the director of the MIT Wireless Center. She was designated as one of the world’s most influential women engineers by Forbes magazine.
Alan Stuart Edelman is an American mathematician and computer scientist. He is a professor of applied mathematics at the Massachusetts Institute of Technology (MIT) and a Principal Investigator at the MIT Computer Science and Artificial Intelligence Laboratory (CSAIL) where he leads a group in applied computing. In 2004, he founded a business called Interactive Supercomputing which was later acquired by Microsoft. Edelman is a fellow of American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM), Institute of Electrical and Electronics Engineers (IEEE), and Association for Computing Machinery (ACM), for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory. He is one of the creators of the technical programming language Julia.
Moses Samson Charikar is an Indian computer scientist who works as a professor at Stanford University. He was previously a professor at Princeton University. The topics of his research include approximation algorithms, streaming algorithms, and metric embeddings. He is known for the creation of the SimHash algorithm used by Google for near duplicate detection.
Elchanan Mossel is a professor of mathematics at the Massachusetts Institute of Technology. His primary research fields are probability theory, combinatorics, and statistical inference.
Jelani Osei Nelson is an Ethiopian-American Professor of Electrical Engineering and Computer Sciences at the University of California, Berkeley. He won the 2014 Presidential Early Career Award for Scientists and Engineers. Nelson is the creator of AddisCoder, a computer science summer program for Ethiopian high school students in Addis Ababa.
The sparse Fourier transform (SFT) is a kind of discrete Fourier transform (DFT) for handling big data signals. Specifically, it is used in GPS synchronization, spectrum sensing and analog-to-digital converters.:
Daisuke Takahashi is a full professor of computer science at the University of Tsukuba, specializing in high-performance numerical computing.
References
- ↑ Piotr Indyk at the Mathematics Genealogy Project
- ↑ Piotr Indyk Biography
- ↑ A Faster Fourier Transform, MIT Technology Review, 2012.
- ↑ Piotr Indyk, Paris Kanellakis Theory and Practice Award, ACM, 2012.
- ↑ 10 BREAKTHROUGH TECHNOLOGIES 2012
- ↑ Simons Investigators Awardees, Simons Foundation, 2013.
- ↑ "ACM Fellows Named for Computing Innovations that Are Advancing Technology in the Digital Age". ACM. 8 December 2015. Archived from the original on 9 December 2015. Retrieved 9 December 2015.
- ↑ "New members". American Academy of Arts and Sciences. 2023. Retrieved 2023-04-21.
