Lacing topological orders in two dimensions: exactly solvable models for Kitaev’s sixteen-fold way

Kavli Affiliate: Yi Zhou | First 5 Authors: Jin-Tao Jin, Jian-Jian Miao, Yi Zhou, , | Summary: A family of two-dimensional (2D) spin-1/2 models have been constructed to realize Kitaev’s sixteen-fold way of anyon theories. Defining a one-dimensional (1D) path through all the lattice sites, and performing the Jordan-Wigner transformation with the help of the […]


Continue.. Lacing topological orders in two dimensions: exactly solvable models for Kitaev’s sixteen-fold way

Finite-Time Error Bounds for Greedy-GQ

Kavli Affiliate: Yi Zhou | First 5 Authors: Yue Wang, Yi Zhou, Shaofeng Zou, , | Summary: Greedy-GQ with linear function approximation, originally proposed in cite{maei2010toward}, is a value-based off-policy algorithm for optimal control in reinforcement learning, and it has a non-linear two timescale structure with a non-convex objective function. This paper develops its finite-time […]


Continue.. Finite-Time Error Bounds for Greedy-GQ

Finite-Time Error Bounds for Greedy-GQ

Kavli Affiliate: Yi Zhou | First 5 Authors: Yue Wang, Yi Zhou, Shaofeng Zou, , | Summary: Greedy-GQ with linear function approximation, originally proposed in cite{maei2010toward}, is a value-based off-policy algorithm for optimal control in reinforcement learning, and it has a non-linear two timescale structure with the non-convex objective function. This paper develops its tightest […]


Continue.. Finite-Time Error Bounds for Greedy-GQ

Federated XGBoost on Sample-Wise Non-IID Data

Kavli Affiliate: Yi Zhou | First 5 Authors: Katelinh Jones, Yuya Jeremy Ong, Yi Zhou, Nathalie Baracaldo, | Summary: Federated Learning (FL) is a paradigm for jointly training machine learning algorithms in a decentralized manner which allows for parties to communicate with an aggregator to create and train a model, without exposing the underlying raw […]


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Generalized persistence of entropy weak solutions for system of hyperbolic conservation laws

Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, , , , | Summary: Let $u(t,x)$ be the solution to the Cauchy problem of a scalar conservation law in one space dimension. It is well known that even for smooth initial data the solution can become discontinuous in finite time and global entropy weak […]


Continue.. Generalized persistence of entropy weak solutions for system of hyperbolic conservation laws

A Transferable Multi-stage Model with Cycling Discrepancy Learning for Lithium-ion Battery State of Health Estimation

Kavli Affiliate: Biao Huang | First 5 Authors: Yan Qin, Chau Yuen, Xunyuan Yin, Biao Huang, | Summary: As a significant ingredient regarding health status, data-driven state-of-health (SOH) estimation has become dominant for lithium-ion batteries (LiBs). To handle data discrepancy across batteries, current SOH estimation models engage in transfer learning (TL), which reserves apriori knowledge […]


Continue.. A Transferable Multi-stage Model with Cycling Discrepancy Learning for Lithium-ion Battery State of Health Estimation

Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime

Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Ryotaro Sano, Mamoru Matsuo, , , | Summary: Recent experiments have shown an indication of a hydrodynamic magnon behavior in ultrapure ferromagnetic insulators; however, its direct observation is still lacking. Here, we derive a set of coupled hydrodynamic equations and study the thermal and spin conductivities for […]


Continue.. Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime

Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime

Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Ryotaro Sano, Mamoru Matsuo, , , | Summary: Recent experiments have shown an indication of a hydrodynamic magnon behavior in ultrapure ferromagnetic insulators; however, its direct observation is still lacking. Here, we derive a set of coupled hydrodynamic equations and study the thermal and spin conductivities for […]


Continue.. Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime

A Learning-Based 3D EIT Image Reconstruction Method

Kavli Affiliate: Yi Zhou | First 5 Authors: Zhaoguang Yi, Zhou Chen, Yunjie Yang, , | Summary: Deep learning has been widely employed to solve the Electrical Impedance Tomography (EIT) image reconstruction problem. Most existing physical model-based and learning-based approaches focus on 2D EIT image reconstruction. However, when they are directly extended to the 3D […]


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Extensions and approximations of Banach-valued Sobolev functions

Kavli Affiliate: Zheng Zhu | First 5 Authors: Miguel GarcĂ­a-Bravo, Toni Ikonen, Zheng Zhu, , | Summary: In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincar’e inequality, we investigate when a given Banach-valued Sobolev function defined on a subset satisfying a measure-density condition is the restriction of a Banach-valued […]


Continue.. Extensions and approximations of Banach-valued Sobolev functions