Zobrazeno 1 - 10
of 51 516
pro vyhledávání: '"Li,Yuan"'
We consider the Cauchy problem to the general defocusing and focusing $p\times q$ matrix nonlinear Schr\"{o}dinger (NLS) equations with initial data allowing arbitrary-order poles and spectral singularities. By establishing the $L^{2}$-Sobolev space
Externí odkaz:
http://arxiv.org/abs/2408.14709
We often use "explainable" Artificial Intelligence (XAI)" and "interpretable AI (IAI)" interchangeably when we apply various XAI tools for a given dataset to explain the reasons that underpin machine learning (ML) outputs. However, these notions can
Externí odkaz:
http://arxiv.org/abs/2408.12420
The supernova remnant (SNR) G150.3+4.5 was first identified in radio, exhibiting a hard GeV spectrum and a $\sim 1.5^\circ$ radius. Radio observations revealed a bright arc with an index of $\sim -0.40$, which stands in contrast to the index of $\sim
Externí odkaz:
http://arxiv.org/abs/2408.09141
Depth information provides valuable insights into the 3D structure especially the outline of objects, which can be utilized to improve the semantic segmentation tasks. However, a naive fusion of depth information can disrupt feature and compromise ac
Externí odkaz:
http://arxiv.org/abs/2408.09097
Novel View Synthesis (NVS) without Structure-from-Motion (SfM) pre-processed camera poses--referred to as SfM-free methods--is crucial for promoting rapid response capabilities and enhancing robustness against variable operating conditions. Recent Sf
Externí odkaz:
http://arxiv.org/abs/2408.08723
In view of existing automatic driving, it is difficult to accurately and timely obtain the status and driving intention of other vehicles. The safety risk and urgency of autonomous vehicles in the absence of collision are evaluated. To ensure safety
Externí odkaz:
http://arxiv.org/abs/2408.08121
In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane-Emden equation \begin{equation*} \Delta^{2} u=u^{p} \quad \quad \text{in} \ \mathbb{R}^{N}\setminus Z, \end{equation*} where $N\
Externí odkaz:
http://arxiv.org/abs/2408.06692
In this paper, we study a conjecture of the second author on determinants involving Legendre symbols. For example, we prove that $$\det\left[x+\left(\frac{i-j}p\right)+\left(\frac ip\right)y+\left(\frac jp\right)z+\left(\frac{ij}p\right)w\right]_{0\l
Externí odkaz:
http://arxiv.org/abs/2408.07034
Vision and Language Navigation (VLN) is a challenging task that requires agents to understand instructions and navigate to the destination in a visual environment.One of the key challenges in outdoor VLN is keeping track of which part of the instruct
Externí odkaz:
http://arxiv.org/abs/2408.05090