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pro vyhledávání: '"Afshar, Ardavan"'
Autor:
Afshar, Ardavan
In the setting of the integers, Granville, Harper and Soundararajan showed that the upper bound in Hal\'{a}sz's Theorem can be improved for smoothly supported functions. We derive the analogous result for Hal\'{a}sz's Theorem in $\mathbb{F}_q[t]$, an
Externí odkaz:
http://arxiv.org/abs/2208.08355
Autor:
Afshar, Ardavan, Yin, Kejing, Yan, Sherry, Qian, Cheng, Ho, Joyce C., Park, Haesun, Sun, Jimeng
Existing tensor factorization methods assume that the input tensor follows some specific distribution (i.e. Poisson, Bernoulli, and Gaussian), and solve the factorization by minimizing some empirical loss functions defined based on the corresponding
Externí odkaz:
http://arxiv.org/abs/2010.04081
Autor:
Afshar, Ardavan
We give a short proof of "Pellet's Formula" for the M\"{o}bius Function on $\mathbb{F}_q[T]$, deriving an intermediate formula (which we call "Proto-Pellet's Formula") along the way. We then construct and prove an analogous "Proto-Pellet's Formula" f
Externí odkaz:
http://arxiv.org/abs/2001.05641
Autor:
Afshar, Ardavan
Publikováno v:
The Ramanujan Journal (2020)
We investigate the analogues, in $\mathbb{F}_q[t]$, of highly composite numbers and the maximum order of the divisor function, as studied by Ramanujan. In particular, we determine a family of highly composite polynomials which is not too sparse, and
Externí odkaz:
http://arxiv.org/abs/2001.05635
Autor:
Afshar, Ardavan, Perros, Ioakeim, Park, Haesun, deFilippi, Christopher, Yan, Xiaowei, Stewart, Walter, Ho, Joyce, Sun, Jimeng
Phenotyping electronic health records (EHR) focuses on defining meaningful patient groups (e.g., heart failure group and diabetes group) and identifying the temporal evolution of patients in those groups. Tensor factorization has been an effective to
Externí odkaz:
http://arxiv.org/abs/1911.05843
Autor:
Afshar, Ardavan, Perros, Ioakeim, Papalexakis, Evangelos E., Searles, Elizabeth, Ho, Joyce, Sun, Jimeng
PARAFAC2 has demonstrated success in modeling irregular tensors, where the tensor dimensions vary across one of the modes. An example scenario is modeling treatments across a set of patients with the varying number of medical encounters over time. De
Externí odkaz:
http://arxiv.org/abs/1803.04572
Autor:
Afshar, Ardavan, Porritt, Sam
Publikováno v:
Acta Arithmetica, 187.2 (2019), 101-124
We use a function field analogue of a method of Selberg to derive an asymptotic formula for the number of (square-free) monic polynomials in $\mathbb{F}_q[X]$ of degree $n$ with precisely $k$ irreducible factors, in the limit as $n$ tends to infinity
Externí odkaz:
http://arxiv.org/abs/1709.01963
Autor:
Afshar, Ardavan1 (AUTHOR) ardavana@kth.se
Publikováno v:
Research in Number Theory. 3/22/2023, Vol. 9 Issue 2, p1-10. 10p.
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