Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Dong, Zichao"'
Suppose $0 < p \le \infty$. For a simple graph $G$ with a vertex-degree sequence $d_1, \dots, d_n$ satisfying $(d_1^p + \dots + d_n^p)^{1/p} \le C$, we prove asymptotically sharp upper bounds on the number of $t$-cliques in $G$. This result bridges t
Externí odkaz:
http://arxiv.org/abs/2410.04744
Let $P$ be a $2n$-point set in the plane that is in general position. We prove that every red-blue bipartition of $P$ into $R$ and $B$ with $|R| = |B| = n$ generates $\Omega(n^{3/2})$ red-red-blue empty triangles.
Comment: 9 pages, 3 figures
Comment: 9 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2409.17078
We introduce a novel MV-DETR pipeline which is effective while efficient transformer based detection method. Given input RGBD data, we notice that there are super strong pretraining weights for RGB data while less effective works for depth related da
Externí odkaz:
http://arxiv.org/abs/2408.06604
Multi-modality fusion is proven an effective method for 3d perception for autonomous driving. However, most current multi-modality fusion pipelines for LiDAR semantic segmentation have complicated fusion mechanisms. Point painting is a quite straight
Externí odkaz:
http://arxiv.org/abs/2403.05159
In this paper, we consider saturation problems related to the celebrated Erd\H{o}s--Szekeres convex polygon problem. For each $n \ge 7$, we construct a planar point set of size $(7/8) \cdot 2^{n-2}$ which is saturated for convex $n$-gons. That is, th
Externí odkaz:
http://arxiv.org/abs/2312.01223
Point encoder is of vital importance for point cloud recognition. As the very beginning step of whole model pipeline, adding features from diverse sources and providing stronger feature encoding mechanism would provide better input for downstream mod
Externí odkaz:
http://arxiv.org/abs/2310.07591
Human robot interaction is an exciting task, which aimed to guide robots following instructions from human. Since huge gap lies between human natural language and machine codes, end to end human robot interaction models is fair challenging. Further,
Externí odkaz:
http://arxiv.org/abs/2308.12537
Occupancy prediction tasks focus on the inference of both geometry and semantic labels for each voxel, which is an important perception mission. However, it is still a semantic segmentation task without distinguishing various instances. Further, alth
Externí odkaz:
http://arxiv.org/abs/2307.05873
Semantic occupancy prediction aims to infer dense geometry and semantics of surroundings for an autonomous agent to operate safely in the 3D environment. Existing occupancy prediction methods are almost entirely trained on human-annotated volumetric
Externí odkaz:
http://arxiv.org/abs/2305.16133
Autor:
Dong, Zichao, Xu, Zijian
Publikováno v:
SIAM Journal on Discrete Mathematics, vol. 38(2), 2024
We prove that every family of (not necessarily distinct) even cycles $D_1, \dotsc, D_{\lfloor 1.2(n-1) \rfloor+1}$ on some fixed $n$-vertex set has a rainbow even cycle (that is, a set of edges from distinct $D_i$'s, forming an even cycle). This reso
Externí odkaz:
http://arxiv.org/abs/2211.09530