Kavli Affiliate: Cheng Peng | First 5 Authors: Fangze Liu, Cheng Peng, Edwin W. Huang, Brian Moritz, Chunjing Jia | Summary: We report a determinant quantum Monte Carlo study of a two-band model, inspired by infinite-layer nickelates, focusing on the influence of interlayer hybridization between $3d_{x^2-y^2}$ orbitals derived from Ni (or Ni and O) in […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Tian Liang, Zheng Zhu, , , | Summary: In this article, we study local Sobolev-Poincar’e imbedding domains. We prove under some connecting assumption, (1) for $1leq pleq n$, a domain is a local Sobolev-Poincar’e imbedding domain of order $p$ if and only if it is a uniform […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Tian Liang, Zheng Zhu, , , | Summary: In this article, we study local Sobolev-Poincar’e imbedding domains. The main result reads as below. begin{enumerate} item for $1leq pleq n$, a bounded uniform domain is also a local Sobolev-Poincar’e imbedding domain of order $p$; conversely a local Sobolev-Poincar’e […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Tian Liang, Zheng Zhu, , , | Summary: In this article, we study local Sobolev-Poincar’e imbedding domains. The main result reads as below. begin{enumerate} item for $1leq pleq n$, a bounded uniform domain is also a local Sobolev-Poincar’e imbedding domain of order $p$; conversely a local Sobolev-Poincar’e […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Momin Abbas, Yi Zhou, Parikshit Ram, Nathalie Baracaldo, Horst Samulowitz | Summary: In-context learning (ICL) is a new paradigm for natural language processing that utilizes Generative Pre-trained Transformer (GPT)-like models. This approach uses prompts that include in-context demonstrations to generate the corresponding output for a new query […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Weichen Dai, Xingyu Li, Pengbo Hu, Zeyu Wang, Ji Qi | Summary: Learning effective joint representations has been a central task in multimodal sentiment analysis. Previous methods focus on leveraging the correlations between different modalities and enhancing performance through sophisticated fusion techniques. However, challenges still exist due […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Xiaofeng Wang, Zheng Zhu, Guan Huang, Boyuan Wang, Xinze Chen | Summary: World models play a crucial role in understanding and predicting the dynamics of the world, which is essential for video generation. However, existing world models are confined to specific scenarios such as gaming or driving, […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]