Zobrazeno 1 - 10
of 3 357
pro vyhledávání: '"PAN, HAO"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G9, Pp 1065-1069 (2022)
Let $p>3$ be a prime, and let $(\frac{\cdot }{p})$ be the Legendre symbol. Let $b\in \mathbb{Z}$ and $\varepsilon \in \lbrace \pm 1\rbrace $. We mainly prove that \[ \left|\left\lbrace N_p(a,b):\ 1\lbrace ax^2+b\rbrace _p$, and $\lbrace m\rbrace _p$
Externí odkaz:
https://doaj.org/article/0c78ebbdb4e14668a47fe1fefba3b0ca
With the rapid development of wearable device technologies, accelerometers can record minute-by-minute physical activity for consecutive days, which provides important insight into a dynamic association between the intensity of physical activity and
Externí odkaz:
http://arxiv.org/abs/2409.03296
Differentiable rendering is a key ingredient for inverse rendering and machine learning, as it allows to optimize scene parameters (shape, materials, lighting) to best fit target images. Differentiable rendering requires that each scene parameter rel
Externí odkaz:
http://arxiv.org/abs/2409.01421
Autor:
Pan, Hao, Prokhorov, Andrei
In this paper we compute the small $x$ asymptotics of the special function solutions of Painlev\'e-III equation. We use the representation of solution in terms of Hankel determinants of Bessel functions, which seems to be new. Hankel determinants can
Externí odkaz:
http://arxiv.org/abs/2407.04852
Reverse engineering CAD models from raw geometry is a classic but challenging research problem. In particular, reconstructing the CAD modeling sequence from point clouds provides great interpretability and convenience for editing. To improve upon thi
Externí odkaz:
http://arxiv.org/abs/2405.15188
Autor:
Xu, Rui, Wang, Jiepeng, Pan, Hao, Liu, Yang, Tong, Xin, Xin, Shiqing, Tu, Changhe, Komura, Taku, Wang, Wenping
In this paper, we study an under-explored but important factor of diffusion generative models, i.e., the combinatorial complexity. Data samples are generally high-dimensional, and for various structured generation tasks, there are additional attribut
Externí odkaz:
http://arxiv.org/abs/2405.13729
Autor:
Du, Shanshan, Pan, Hao
Suppose that $k\geq 2$ and $A$ is a non-empty subset of a finite abelian group $G$ with $|G|>1$. Then the cardinality of the restricted sumset $$ k^\wedge A:=\{a_1+\cdots+a_k:\,a_1,\ldots,a_k\in A,\ a_i\neq a_j\text{ for }i\neq j\} $$ is at least $$
Externí odkaz:
http://arxiv.org/abs/2403.03549
Games are a simplified model of reality and often serve as a favored platform for Artificial Intelligence (AI) research. Much of the research is concerned with game-playing agents and their decision making processes. The game of Guandan (literally, "
Externí odkaz:
http://arxiv.org/abs/2402.13582
As a promising 3D generation technique, multiview diffusion (MVD) has received a lot of attention due to its advantages in terms of generalizability, quality, and efficiency. By finetuning pretrained large image diffusion models with 3D data, the MVD
Externí odkaz:
http://arxiv.org/abs/2402.14253
Optical metasurfaces have been widely used for manipulating electromagnetic waves due to their low intrinsic loss and easy fabrication. The metasurfaces employing the Pancharatnam-Berry (PB) geometric phase, called PB metasurfaces, have been extensiv
Externí odkaz:
http://arxiv.org/abs/2401.10772