Random Fourier Features via Fast Surrogate Leverage Weighted Sampling. (arXiv:1911.09158v1 [cs.LG])

In this paper, we propose a fast surrogate leverage weighted sampling strategy to generate refined random Fourier features for kernel approximation. Compared to the current state-of-the-art method that uses the leverage weighted scheme [Li-ICML2019], our new strategy is simpler and more effective. It uses kernel alignment to guide the sampling process and it can avoid…

Bayesian optimization with local search. (arXiv:1911.09159v1 [stat.ML])

Global optimization finds applications in a wide range of real world problems. The multi-start methods are a popular class of global optimization techniques, which are based on the ideas of conducting local searches at multiple starting points, and then sequentially determine the starting points according to some prescribed rules. In this work we propose a…

Deep Active Learning: Unified and Principled Method for Query and Training. (arXiv:1911.09162v1 [cs.LG])

In this paper, we proposed a unified and principled method for both querying and training process in deep batch active learning. We provided the theoretical insights from the intuition of modeling the interactive procedure in active learning as distribution matching, by adopting Wasserstein distance. As a consequence, we derived a new training loss from the…

Instrumental Variables: to Strengthen or not to Strengthen?. (arXiv:1911.09171v1 [stat.ME])

Instrumental variables (IV) are extensively used to estimate treatment effects in the presence of unmeasured confounding; however, weak IVs are often encountered in empirical studies and may cause problems. Many studies have considered building a stronger IV from the original, possibly weak, IV in the design stage of a matched study at the cost of…

Modeling hydrodynamics, magnetic fields and synthetic radiographs for high-energy-density plasma flows in shock-shear targets. (arXiv:1911.09196v1 [physics.plasm-ph])

Three-dimensional FLASH radiation-magnetohydrodynamics (radiation-MHD) modeling is carried out to study the hydrodynamics and magnetic fields in the shock-shear derived platform. Simulations indicate that fields of tens of Tesla can be generated via Biermann battery effect due to vortices and mix in the counter-propagating shock-induced shear layer. Synthetic proton radiography simulations using MPRAD and synthetic X-ray…

Certain hybrid polynomials associated with Sheffer sequences. (arXiv:1911.09139v1 [math.NT])

Inspired by the framework of operational methods and based on the generating functions of Legendre-Gould Hopper polynomials and Sheffer sequences, we discuss certain new mixed type polynomials and their important properties. We show that the use of operational nature allows the relevant polynomials to be unified and general in nature. It is illustrated how the…

The staged Z-pinch as a potential high-gain fusion energy source: Rebuttal to I. R. Lindemuth et al. (arXiv:1911.09223v1 [physics.plasm-ph])

Magneto-Inertial Fusion Technology Inc. has been working on a Z-pinch concept where a high atomic number liner is compressing a fusion fuel (deuterium-deuterium, or deuterium-tritium) target. The viability of this so called Staged Z-pinch (SZP) concept as a potential high-gain fusion energy source has been questioned in a recent publication by Lindemuth et al [1].…

The e\~ne product over a commutative ring. (arXiv:1911.09140v1 [math.CA])

We define the e\~ne product for the multiplicative group of polynomials and formal power series with coefficients on a commutative ring and unitary constant coefficient. This defines a commutative ring structure where multiplication is the additive structure and the e\~ne product is the multiplicative one. For polynomials with complex coefficients, the e\~ne product acts as…

Spin-Preserving Chiral Photonic Crystal Mirror. (arXiv:1911.09227v1 [physics.optics])

Chirality refers to a geometric phenomenon in which objects are not superimposable on their mirror image. Structures made of nano-scale chiral elements can display chiroptical effects, such as dichroism for left- and right- handed circularly polarized light, which makes them of high interest for applications ranging from quantum information processing and quantum optics to circular…

Partial corepresentations of Hopf Algebras. (arXiv:1911.09141v1 [math.RA])

We introduce the notion of a partial corepresentation of a given Hopf algebra $H$ over a coalgebra $C$ and the closely related concept of a partial $H$-comodule. We prove that there exists a universal coalgebra $H^{par}$, associated to the original Hopf algebra $H$, such that the category of regular partial $H$-comodules is isomorphic to the…