End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver

Kavli Affiliate: Yi Zhou | First 5 Authors: Shaocong Ma, James Diffenderfer, Bhavya Kailkhura, Yi Zhou, | Summary: Deep learning has been widely applied to solve partial differential equations (PDEs) in computational fluid dynamics. Recent research proposed a PDE correction framework that leverages deep learning to correct the solution obtained by a PDE solver on […]


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Dissecting Quantum Many-body Chaos in the Krylov Space

Kavli Affiliate: Huajia Wang | First 5 Authors: Liangyu Chen, Baoyuan Mu, Huajia Wang, Pengfei Zhang, | Summary: The growth of simple operators is essential for the emergence of chaotic dynamics and quantum thermalization. Recent studies have proposed different measures, including the out-of-time-order correlator and Krylov complexity. It is established that the out-of-time-order correlator serves […]


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Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Kavli Affiliate: Yi Zhou | First 5 Authors: Taojun Hu, Yi Zhou, Sattoshi Hattori, , | Summary: Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used accounting for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the event rate is low for binary […]


Continue.. Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Kavli Affiliate: Yi Zhou | First 5 Authors: Taojun Hu, Yi Zhou, Satoshi Hattori, , | Summary: Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used to account for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the event rate is low for […]


Continue.. Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Correlation decoupling of Casimir interaction in an electrolyte driven by external electric fields

Kavli Affiliate: Rudolf Podgornik | First 5 Authors: Guangle Du, David S. Dean, Bing Miao, Rudolf Podgornik, | Summary: It has been established for a long time that the long range van der Waals or thermal Casimir interaction between two semi-infinite dielectrics separated by a distance $H$ is screened by an intervening electrolyte. Here we […]


Continue.. Correlation decoupling of Casimir interaction in an electrolyte driven by external electric fields

Correlation decoupling of Casimir interaction in an electrolyte driven by external electric fields

Kavli Affiliate: Rudolf Podgornik | First 5 Authors: Guangle Du, David S. Dean, Bing Miao, Rudolf Podgornik, | Summary: It has been established for a long time that the long range van der Waals or thermal Casimir interaction between two semi-infinite dielectrics separated by a distance $H$ is screened by an intervening electrolyte. Here we […]


Continue.. Correlation decoupling of Casimir interaction in an electrolyte driven by external electric fields

Magneto-Induced Topological Phase Transition in Inverted InAs/GaSb Bilayers

Kavli Affiliate: Long Zhang | First 5 Authors: Zhongdong Han, Tingxin Li, Long Zhang, Rui-Rui Du, | Summary: We report a magneto-induced topological phase transition in inverted InAs/GaSb bilayers from a quantum spin Hall insulator to a normal insulator. We utilize a dual-gated Corbino device in which the degree of band inversion, or equivalently the […]


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Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates

Kavli Affiliate: Gang Su | First 5 Authors: Chuandi Zhang, Junsen Xiang, Quanliang Zhu, Longfei Wu, Shanfeng Zhang | Summary: The recent discovery of the spin supersolid candidate Na$_2$BaCo(PO$_4$)$_2$ stimulates numerous research interest on the triangular-lattice transition-metal phosphates. Here we report a comprehensive study on the structural, magnetic and magnetocaloric properties of polycrystalline Na$_2$$A$$T$(PO$_4$)$_2$ ($A$ […]


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Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance

Kavli Affiliate: Yi Zhou | First 5 Authors: Qi Zhang, Yi Zhou, Shaofeng Zou, , | Summary: This paper provides the first tight convergence analyses for RMSProp and Adam in non-convex optimization under the most relaxed assumptions of coordinate-wise generalized smoothness and affine noise variance. We first analyze RMSProp, which is a special case of […]


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Large-Scale Non-convex Stochastic Constrained Distributionally Robust Optimization

Kavli Affiliate: Yi Zhou | First 5 Authors: Qi Zhang, Yi Zhou, Ashley Prater-Bennette, Lixin Shen, Shaofeng Zou | Summary: Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing studies on constrained […]


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