A mathematical theory of relational generalization in transitive inference

Kavli Affiliate: Vincent Ferrera | Authors: Samuel Lippl, Kenneth Kay, Greg Jensen, Vincent P. Ferrera and L.F. Abbott | Summary: Humans and animals routinely infer relations between different items or events and generalize these relations to novel combinations of items (“compositional generalization”). This allows them to respond appropriately to radically novel circumstances and is fundamental […]


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Universal Bound on Effective Central Charge and Its Saturation

Kavli Affiliate: Hirosi Ooguri | First 5 Authors: Andreas Karch, Yuya Kusuki, Hirosi Ooguri, Hao-Yu Sun, Mianqi Wang | Summary: The effective central charge (denoted by $c_{text{eff}}$) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient $c_{LR}$ of the two-point function of the energy-momentum tensor across the […]


Continue.. Universal Bound on Effective Central Charge and Its Saturation

Universal Bound on Effective Central Charge and Its Saturation

Kavli Affiliate: Hirosi Ooguri | First 5 Authors: Andreas Karch, Yuya Kusuki, Hirosi Ooguri, Hao-Yu Sun, Mianqi Wang | Summary: The effective central charge (denoted by $c_{text{eff}}$) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient $c_{LR}$ of the two-point function of the energy-momentum tensor across the […]


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An efficient quantum algorithm for generation of ab initio n-th order susceptibilities for non-linear spectroscopies

Kavli Affiliate: Birgitta Whaley | First 5 Authors: Tyler Kharazi, Torin F. Stetina, Liwen Ko, Guang Hao Low, K. Birgitta Whaley | Summary: We develop and analyze a fault-tolerant quantum algorithm for computing $n$-th order response properties necessary for analysis of non-linear spectroscopies of molecular and condensed phase systems. We use a semi-classical description in […]


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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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Convergence Acceleration of Favre-Averaged Non-Linear Harmonic Method

Kavli Affiliate: Feng Wang | First 5 Authors: Feng Wang, Kurt Webber, David Radford, Luca di Mare, Marcus Meyer | Summary: This paper develops a numerical procedure to accelerate the convergence of the Favre-averaged Non-Linear Harmonic (FNLH) method. The scheme provides a unified mathematical framework for solving the sparse linear systems formed by the mean […]


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Convergence Acceleration of Favre-Averaged Non-Linear Harmonic Method

Kavli Affiliate: Feng Wang | First 5 Authors: Feng Wang, Kurt Webber, David Radford, Luca di Mare, Marcus Meyer | Summary: This paper develops a numerical procedure to accelerate the convergence of the Favre-averaged Non-Linear Harmonic (FNLH) method. The scheme provides a unified mathematical framework for solving the sparse linear systems formed by the mean […]


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Constraints on Dark Matter from Dynamical Heating of Stars in Ultrafaint Dwarfs. Part 2: Substructure and the Primordial Power Spectrum

Kavli Affiliate: Peter W. Graham | First 5 Authors: Peter W. Graham, Harikrishnan Ramani, , , | Summary: There is a large and growing interest in observations of small-scale structure in dark matter. We propose a new way to probe dark matter structures in the $sim 10 – 10^8 , M_odot$ range. This allows us […]


Continue.. Constraints on Dark Matter from Dynamical Heating of Stars in Ultrafaint Dwarfs. Part 2: Substructure and the Primordial Power Spectrum

Constraints on Dark Matter from Dynamical Heating of Stars in Ultrafaint Dwarfs. Part 2: Substructure and the Primordial Power Spectrum

Kavli Affiliate: Peter W. Graham | First 5 Authors: Peter W. Graham, Harikrishnan Ramani, , , | Summary: There is a large and growing interest in observations of small-scale structure in dark matter. We propose a new way to probe dark matter structures in the $sim 10 – 10^8 , M_odot$ range. This allows us […]


Continue.. Constraints on Dark Matter from Dynamical Heating of Stars in Ultrafaint Dwarfs. Part 2: Substructure and the Primordial Power Spectrum

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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