Zobrazeno 1 - 10
of 3 325
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
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
Autor:
Wen, Yilin, Pan, Hao, Ohkawa, Takehiko, Yang, Lei, Pan, Jia, Sato, Yoichi, Komura, Taku, Wang, Wenping
We present a novel framework that concurrently tackles hand action recognition and 3D future hand motion prediction. While previous works focus on either recognition or prediction, we propose a generative Transformer VAE architecture to jointly captu
Externí odkaz:
http://arxiv.org/abs/2311.17366
CAD programs are a popular way to compactly encode shapes as a sequence of operations that are easy to parametrically modify. However, without sufficient semantic comments and structure, such programs can be challenging to understand, let alone modif
Externí odkaz:
http://arxiv.org/abs/2311.16703