Zobrazeno 1 - 10
of 385
pro vyhledávání: '"Zhou, Xingchen"'
Autor:
Chen, Ruosi, Zhou, Xingchen
By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-Amp\`{e}re equation $\det D^2 u = 1$.
Externí odkaz:
http://arxiv.org/abs/2409.15870
We develop an integral approach to obtain interior a priori $C^{1,1}$ estimates for convex solutions of prescribing scalar curvature equations $\sigma_2(\kappa) = f(x)$ as well as the Hessian equations $\sigma_2(D^2u) = f(x)$. This new approach can d
Externí odkaz:
http://arxiv.org/abs/2408.14850
Autor:
Qiu, Guohuan, Zhou, Xingchen
We establish a priori interior curvature estimates for the special Lagrangian curvature equations in both the critical phase and convex case. Additionally, we prove a priori interior gradient estimates for any constant phases.
Comment: All comme
Comment: All comme
Externí odkaz:
http://arxiv.org/abs/2407.15159
Autor:
Zhou, Xingchen, Gong, Yan, Zhang, Xin, Li, Nan, Meng, Xian-Min, Chen, Xuelei, Wen, Run, Han, Yunkun, Zou, Hu, Zheng, Xian Zhong, Yang, Xiaohu, Guo, Hong, Zhang, Pengjie
China Space Station Telescope (CSST) has the capability to conduct slitless spectroscopic survey simultaneously with photometric survey. The spectroscopic survey will measure slitless spectra, potentially providing more accurate estimations of galaxy
Externí odkaz:
http://arxiv.org/abs/2407.13991
Autor:
Luo, Zhijian, Tang, Zhirui, Chen, Zhu, Fu, Liping, Du, Wei, Zhang, Shaohua, Gong, Yan, Shu, Chenggang, Lu, Junhao, Li, Yicheng, Meng, Xian-Min, Zhou, Xingchen, Fan, Zuhui
Accurate photometric redshift (photo-$z$) estimation requires support from multi-band observational data. However, in the actual process of astronomical observations and data processing, some sources may have missing observational data in certain ban
Externí odkaz:
http://arxiv.org/abs/2406.01719
Autor:
Lu, Junhao, Luo, Zhijian, Chen, Zhu, Fu, Liping, Du, Wei, Gong, Yan, Li, Yicheng, Meng, Xian-Min, Tang, Zhirui, Zhang, Shaohua, Shu, Chenggang, Zhou, Xingchen, Fan, Zuhui
Accurate estimation of photometric redshifts (photo-$z$) is crucial in studies of both galaxy evolution and cosmology using current and future large sky surveys. In this study, we employ Random Forest (RF), a machine learning algorithm, to estimate p
Externí odkaz:
http://arxiv.org/abs/2312.12949
Autor:
Zhou, Xingchen
We obtain a prior $C^{1,1}$ estimates for some Hessian (quotient) equations with positive Lipschitz right hand sides, through studying a twisted special Lagrangian equation. The results imply the interior $C^{2,\alpha}$ regularity for $C^0$ viscosity
Externí odkaz:
http://arxiv.org/abs/2311.14260
Autor:
Zhou, Xingchen
We establish a prior interior $C^{1,1}$ estimates for convex solutions and supercritical phase solutions to the Lagrangian mean curvature equation with sharp Lipschitz phase. Counter-examples exist when the phase is H\"{o}lder continuous but not Lips
Externí odkaz:
http://arxiv.org/abs/2311.13867
The emergence of Neural Radiance Fields (NeRF) has promoted the development of synthesized high-fidelity views of the intricate real world. However, it is still a very demanding task to repaint the content in NeRF. In this paper, we propose a novel f
Externí odkaz:
http://arxiv.org/abs/2306.05668
Autor:
Jiang, Yuer, Gong, Yan, Zhang, Meng, Xiong, Qi, Zhou, Xingchen, Deng, Furen, Chen, Xuelei, Ma, Yin-Zhe, Yue, Bin
Publikováno v:
RAA, 23, 075003 (2023)
Cross-correlating the data of neutral hydrogen (HI) 21cm intensity mapping with galaxy surveys is an effective method to extract astrophysical and cosmological information. In this work, we investigate the cross-correlation of MeerKAT single-dish mod
Externí odkaz:
http://arxiv.org/abs/2301.02540