Local wellposedness for the quasilinear Schrödinger equations via the generalized energy method

Kavli Affiliate: Yi Zhou | First 5 Authors: Jie Shao, Yi Zhou, , , | Summary: We study the global Cauchy problem of the quasilinear Schr"odinger equations, for which KENIG et al. (Invent Math, 2004; Adv Math, 2006) obtained short time local wellposedness with large data by pseudo-differential techniques and viscosity methods, while MARZUOLA et […]


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Multifield tunable valley splitting in two-dimensional MXene Cr$_2$COOH

Kavli Affiliate: Cheng Peng | First 5 Authors: Ping Li, Chao Wu, Cheng Peng, Mutian Yang, Wei Xun | Summary: Manipulation of the valley degree of freedom provides a novel paradigm in quantum information technology. Here, through first-principles calculations and model analysis, we demonstrate that monolayer Cr$_2$COOH MXene is a promising candidate material for valleytronics […]


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Weak Limit of $W^{1,2}$ Homeomorphisms in $mathbb{R}^3$ Can Have Any Degree

Kavli Affiliate: Zheng Zhu | First 5 Authors: Ondřej Bouchala, Stanislav Hencl, Zheng Zhu, , | Summary: In this paper for every $kinmathbb{Z}$ we construct a sequence of weakly converging homeomorphisms $h_mcolon B(0,10)tomathbb{R}^3$, $h_mrightharpoonup h$ in $W^{1,2}(B(0,10))$, such that $h_m(x)=x$ on $partial B(0,10)$ and for every $rin left(tfrac5{16},tfrac{7}{16}right)$ the degree of $h$ with respect to […]


Continue.. Weak Limit of $W^{1,2}$ Homeomorphisms in $mathbb{R}^3$ Can Have Any Degree

Flow Morphology of a Supersonic Gravitating Sphere

Kavli Affiliate: Lars Bildsten | First 5 Authors: Logan J. Prust, Lars Bildsten, , , | Summary: Stars and planets move supersonically in a gaseous medium during planetary engulfment, stellar interactions and within protoplanetary disks. For a nearly uniform medium, the relevant parameters are the Mach number and the size of the body, $R$, relative […]


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Inhomogeneous quenches as state preparation in two-dimensional conformal field theories

Kavli Affiliate: Masahiro Nozaki | First 5 Authors: Masahiro Nozaki, Kotaro Tamaoka, Mao Tian Tan, , | Summary: The non-equilibrium process where the system does not evolve to the featureless state is one of the new central objects in the non-equilibrium phenomena. In this paper, starting from the short-range entangled state in the two-dimensional conformal […]


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Privacy-Preserving Federated Learning over Vertically and Horizontally Partitioned Data for Financial Anomaly Detection

Kavli Affiliate: Yi Zhou | First 5 Authors: Swanand Ravindra Kadhe, Heiko Ludwig, Nathalie Baracaldo, Alan King, Yi Zhou | Summary: The effective detection of evidence of financial anomalies requires collaboration among multiple entities who own a diverse set of data, such as a payment network system (PNS) and its partner banks. Trust among these […]


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Defect two-point functions in 6d (2,0) theories

Kavli Affiliate: Xinan Zhou | First 5 Authors: Junding Chen, Aleix Gimenez-Grau, Xinan Zhou, , | Summary: We consider correlation functions in 6d $(2,0)$ theories of two $frac{1}{2}$-BPS operators inserted away from a $frac{1}{2}$-BPS surface defect. In the large central charge limit the leading connected contribution corresponds to sums of tree-level Witten diagram in AdS$_7times$S$^4$ […]


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DREAM+: Efficient Dataset Distillation by Bidirectional Representative Matching

Kavli Affiliate: Zheng Zhu | First 5 Authors: Yanqing Liu, Jianyang Gu, Kai Wang, Zheng Zhu, Kaipeng Zhang | Summary: Dataset distillation plays a crucial role in creating compact datasets with similar training performance compared with original large-scale ones. This is essential for addressing the challenges of data storage and training costs. Prevalent methods facilitate […]


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A Predictive Factor Analysis of Social Biases and Task-Performance in Pretrained Masked Language Models

Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, Jose Camacho-Collados, Danushka Bollegala, , | Summary: Various types of social biases have been reported with pretrained Masked Language Models (MLMs) in prior work. However, multiple underlying factors are associated with an MLM such as its model size, size of the training data, training objectives, […]


Continue.. A Predictive Factor Analysis of Social Biases and Task-Performance in Pretrained Masked Language Models