Zobrazeno 1 - 10
of 793
pro vyhledávání: '"Ahmadi, Amir A."'
We introduce a family of symmetric convex bodies called generalized ellipsoids of degree $d$ (GE-$d$s), with ellipsoids corresponding to the case of $d=0$. Generalized ellipsoids (GEs) retain many geometric, algebraic, and algorithmic properties of e
Externí odkaz:
http://arxiv.org/abs/2407.20362
We prove that convex ternary quartic forms are sum-of-squares-convex (sos-convex). This result is in a meaningful sense the ``convex analogue'' a celebrated theorem of Hilbert from 1888, where he proves that nonnegative ternary quartic forms are sums
Externí odkaz:
http://arxiv.org/abs/2404.14440
Autor:
Safayani, Mehran, Sartipi, Amir, Ahmadi, Amir Hossein, Jalali, Parniyan, Mansouri, Amir Hossein, Bisheh-Niasar, Mohammad, Pourbahman, Zahra
The proliferation of hate speech and offensive comments on social media has become increasingly prevalent due to user activities. Such comments can have detrimental effects on individuals' psychological well-being and social behavior. While numerous
Externí odkaz:
http://arxiv.org/abs/2404.05540
We present generalizations of Newton's method that incorporate derivatives of an arbitrary order $d$ but maintain a polynomial dependence on dimension in their cost per iteration. At each step, our $d^{\text{th}}$-order method uses semidefinite progr
Externí odkaz:
http://arxiv.org/abs/2311.06374
A fundamental challenge in learning an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. We formulate a mathematical definition of what it means to safely learn a dynamical system by sequentially
Externí odkaz:
http://arxiv.org/abs/2305.12284
Autor:
Ahmadi, Amir1,2 (AUTHOR), Valiee, Sina3,4 (AUTHOR), Abdoli, Faranak5 (AUTHOR), Matlabi, Hossein1,6 (AUTHOR) hm1349@gmail.com
Publikováno v:
Discover Public Health. 11/22/2024, Vol. 21 Issue 1, p1-10. 10p.
Autor:
Ahmadi, Amir Ali, Dibek, Cemil
We present an algebraic characterization of perfect graphs, i.e., graphs for which the clique number and the chromatic number coincide for every induced subgraph. We show that a graph is perfect if and only if certain nonnegative polynomials associat
Externí odkaz:
http://arxiv.org/abs/2110.08950
Publikováno v:
In Advances in Mathematics August 2024 452
We study separable plus quadratic (SPQ) polynomials, i.e., polynomials that are the sum of univariate polynomials in different variables and a quadratic polynomial. Motivated by the fact that nonnegative separable and nonnegative quadratic polynomial
Externí odkaz:
http://arxiv.org/abs/2105.04766
Autor:
Sato, Yoshihiro, Motoyama, Sadako, Miyajima, Keiichi, Kawai, Hideki, Sarai, Masayoshi, Muramatsu, Takashi, Takahashi, Hiroshi, Naruse, Hiroyuki, Ahmadi, Amir, Ozaki, Yukio, Izawa, Hideo, Narula, Jagat
Publikováno v:
In JACC: Cardiovascular Imaging March 2024 17(3):284-297