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pro vyhledávání: '"Yongtao An"'
Two families $\mathcal{F}$ and $\mathcal{G}$ are called cross-intersecting if for every $F\in \mathcal{F}$ and $G\in \mathcal{G}$, the intersection $F\cap G$ is non-empty. For any positive integers $n$ and $k$, let $\binom{[n]}{k}$ denote the family
Externí odkaz:
http://arxiv.org/abs/2411.09490
Two families $\mathcal{F}$ and $\mathcal{G}$ are called cross-intersecting if for every $F\in \mathcal{F}$ and $G\in \mathcal{G}$, the intersection $F\cap G$ is non-empty. It is significant to determine the maximum sum of sizes of cross-intersecting
Externí odkaz:
http://arxiv.org/abs/2411.08546
Let $\mathcal{F}$ be a family of subsets of $[n]$. The diameter of $\mathcal{F}$ is the maximum size of symmetric differences among pairs of its members. Solving a conjecture of Erd\H{o}s, in 1966, Kleitman determined the maximum size of a family wit
Externí odkaz:
http://arxiv.org/abs/2411.08325
The well-known Erd\H{o}s--Ko--Rado theorem states that for $n> 2k$, every intersecting family of $k$-sets of $[n]:=\{1,\ldots ,n\}$ has at most $ {n-1 \choose k-1}$ sets, and the extremal family consists of all $k$-sets containing a fixed element (ca
Externí odkaz:
http://arxiv.org/abs/2411.03674
Large vision-language models (VLLMs) exhibit promising capabilities for processing multi-modal tasks across various application scenarios. However, their emergence also raises significant data security concerns, given the potential inclusion of sensi
Externí odkaz:
http://arxiv.org/abs/2411.02902
Dissipative engineering is a powerful tool for quantum state preparation, and has drawn significant attention in quantum algorithms and quantum many-body physics in recent years. In this work, we introduce a novel approach using the Lindblad dynamics
Externí odkaz:
http://arxiv.org/abs/2411.01470
As a novel 3D scene representation, semantic occupancy has gained much attention in autonomous driving. However, existing occupancy prediction methods mainly focus on designing better occupancy representations, such as tri-perspective view or neural
Externí odkaz:
http://arxiv.org/abs/2410.11228
Existing perception models achieve great success by learning from large amounts of labeled data, but they still struggle with open-world scenarios. To alleviate this issue, researchers introduce open-set perception tasks to detect or segment unseen o
Externí odkaz:
http://arxiv.org/abs/2410.05963
Autor:
Biswas, Arpan, Vasudevan, Rama, Pant, Rohit, Takeuchi, Ichiro, Funakubo, Hiroshi, Liu, Yongtao
Both computational and experimental material discovery bring forth the challenge of exploring multidimensional and multimodal parameter spaces, such as phase diagrams of Hamiltonians with multiple interactions, composition spaces of combinatorial lib
Externí odkaz:
http://arxiv.org/abs/2409.12295
Perceiving the surrounding environment is a fundamental task in autonomous driving. To obtain highly accurate perception results, modern autonomous driving systems typically employ multi-modal sensors to collect comprehensive environmental data. Amon
Externí odkaz:
http://arxiv.org/abs/2409.04979