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pro vyhledávání: '"Beshaj, Lubjana"'
Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resource. Quantum parallelism has a potential to speed up machine learning al
Externí odkaz:
http://arxiv.org/abs/1911.08587
Publikováno v:
Journal of Number Theory, 2020
We introduce the weighted greatest common divisor of a tuple of integers and explore some of it basic properties. Furthermore, for a set of heights $\mathfrak w=(q_0, \ldots , q_n)$, we use the concept of the weighted greatest common divisor to defin
Externí odkaz:
http://arxiv.org/abs/1902.06563
Publikováno v:
European Journal of Mathematics (2019)
Let $\mathcal X$ be a genus 2 curve defined over a field $K$, $\mbox{char} K = p \geq 0$, and $\mbox{Jac} (\mathcal X, \iota)$ its Jacobian, where $\iota$ is the principal polarization of $\mbox{Jac} (\mathcal X)$ attached to $\mathcal X$. Assume tha
Externí odkaz:
http://arxiv.org/abs/1902.06372
In a resource-constrained, contested environment, computing resources need to be aware of possible size, weight, and power (SWaP) restrictions. SWaP-aware computational efficiency depends upon optimization of computational resources and intelligent t
Externí odkaz:
http://arxiv.org/abs/1902.05070
Autor:
Beshaj, Lubjana, Polak, Monika
We study the moduli space of genus 3 hyperelliptic curves via the weighted projective space of binary octavics. This enables us to create a database of all genus 3 hyperelliptic curves defined over $\mathbb Q$, of weighted moduli height $\mathcal h =
Externí odkaz:
http://arxiv.org/abs/1806.02849
Autor:
Beshaj, Lubjana, Guest, Scott
We use the weighted moduli height as defined in \cite{sh-h} to investigate the distribution of fine moduli points in the moduli space of genus two curves. We show that for any genus two curve with equation $y^2=f(x)$, its weighted moduli height $\mat
Externí odkaz:
http://arxiv.org/abs/1803.09773
Autor:
Beshaj, Lubjana, Yamauchi, Takuya
Let $k$ be a field of characteristic zero containing a primitive $n$-th root of unity. Let $C^0_n$ be a singular plane curve of degree $n$ over $k$ admitting an order $n$ automorphism, $n$ nodes as the singularities, and $C_n$ be its normalization. I
Externí odkaz:
http://arxiv.org/abs/1609.03981
There is a natural question to ask whether the rich mathematical theory of the hyperelliptic curves can be extended to all superelliptic curves. Moreover, one wonders if all of the applications of hyperelliptic curves such as cryptography, mathematic
Externí odkaz:
http://arxiv.org/abs/1502.07249
Autor:
Beshaj, Lubjana
In these lectures we give an introduction to the reduction theory of binary forms starting with quadratic forms with real coefficients, Hermitian forms, and then define the Julia quadratic for any degree $n$ binary form. A survey of a reduction algor
Externí odkaz:
http://arxiv.org/abs/1502.06289