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Autor:
Gao, Jing-Wen, Yang, Xiao-Song
This paper presents a discrete homotopy theory and a discrete homology theory for finite posets. In particular, the discrete and classical homotopy groups of finite posets are always isomorphic. Moreover, this discrete homology theory is related to t
Externí odkaz:
http://arxiv.org/abs/2410.16948
Autor:
Gao, Jing, Li, Xueliang
A graph $G$ is said to be $F$-free if it does not contain $F$ as a subgraph. A theta graph, say $\theta_{l_1,l_2,l_3}$, is the graph obtained by connecting two distinct vertices with three internally disjoint paths of length $l_1, l_2, l_3$, where $l
Externí odkaz:
http://arxiv.org/abs/2410.07721
In high-stake domains such as healthcare and hiring, the role of machine learning (ML) in decision-making raises significant fairness concerns. This work focuses on Counterfactual Fairness (CF), which posits that an ML model's outcome on any individu
Externí odkaz:
http://arxiv.org/abs/2409.01977
Autor:
Nie, Jia-Cai, Chen, Xing-Yu, Bian, Yi, Wang, Xue-Yan, Shao, Ting-Na, Gao, Jing-Xin, Mao, Wei, Ge, Bing-Hui, Muller, Arnold, Chen, Jikun
The discovery of the superconductivity in the infinite-layer nickelates, as topotactically reduced from their respective perovskite percussors via co-annealing with CaH2, extends the understanding in superconductivity. Nevertheless, whether the incor
Externí odkaz:
http://arxiv.org/abs/2408.14818
The ATLAS and CMS collaborations reported a diphoton excess in the invariant mass distribution around the 95.4 GeV with a local significance of $3.1\sigma$. Moreover, there is another $2.3\sigma$ local excess in the $b\bar{b}$ final state at LEP in t
Externí odkaz:
http://arxiv.org/abs/2408.03705
Autor:
Gao, Jing, Iserles, Arieh
We present an overarching framework for stable spectral methods on a triangle, defined by a multivariate W-system and based on orthogonal polynomials on the triangle. Motivated by the Koornwinder orthogonal polynomials on the triangle, we introduce a
Externí odkaz:
http://arxiv.org/abs/2408.01132
With the rapid advancement of deep learning technologies, computer vision has shown immense potential in retail automation. This paper presents a novel self-checkout system for retail based on an improved YOLOv10 network, aimed at enhancing checkout
Externí odkaz:
http://arxiv.org/abs/2407.21308
In federated learning (FL), accommodating clients' varied computational capacities poses a challenge, often limiting the participation of those with constrained resources in global model training. To address this issue, the concept of model heterogen
Externí odkaz:
http://arxiv.org/abs/2407.19389
Reinforcement learning with human feedback (RLHF) fine-tunes a pretrained large language model (LLM) using preference datasets, enabling the LLM to generate outputs that align with human preferences. Given the sensitive nature of these preference dat
Externí odkaz:
http://arxiv.org/abs/2407.03038