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…

Renormalization and universality of the Hofstadter spectrum. (arXiv:1911.09172v1 [math-ph])

We consider a renormalization transformation $R$ for skew-product maps of the type that arise in a spectral analysis of the Hofstadter Hamiltonian. Periodic orbits of $R$ determine universal constants analogous to the critical exponents in the theory of phase transitions. Restricting to skew-product maps over a circle-rotations by the golden mean, we find several periodic…

The share of manipulable outcomes in social choice problem. (arXiv:1911.09173v1 [econ.TH])

The paper is devoted to study of manipulability of scoring voting rules. We present a conjectural list of inequalities, which are satisfied by a profile if and only if it is manipulable by a coalition $Coal_{\mathcal{A}_k}$ (of members of electorate who prefer $A_k$ over the winner). The conjecture is verified for all positional rules with…

Chaos and frequent hypercyclicity for weighted shifts. (arXiv:1911.09186v1 [math.FA])

Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on $\ell^p$ is chaotic. This contrasts with an earlier result of Bayart and Grivaux [Trans. Amer. Math. Soc. 358 (2006)] who constructed a non-chaotic frequently hypercyclic weighted shift on $c_0$. We first generalize the Bayart-Ruzsa theorem to…

Information in Infinite Ensembles of Infinitely-Wide Neural Networks. (arXiv:1911.09189v1 [cs.LG])

In this preliminary work, we study the generalization properties of infinite ensembles of infinitely-wide neural networks. Amazingly, this model family admits tractable calculations for many information-theoretic quantities. We report analytical and empirical investigations in the search for signals that correlate with generalization.

On the tightness of SDP relaxations of QCQPs with repeated eigenvalues. (arXiv:1911.09195v1 [math.OC])

Quadratically constrained quadratic programs (QCQPs) are a fundamental class of optimization problems well-known to be NP-hard in general. In this paper we study conditions under which the standard semidefinite program (SDP) relaxation of a QCQP is tight. We begin by outlining a general framework for proving such sufficient conditions. Then using this framework, we show…

Effect of X-Ray Irradiation on Threshold Voltage of AlGaN/GaN HEMTs with pGaN and MIS Gate. (arXiv:1911.09317v1 [physics.app-ph])

Characteristic electrical curves of GaN HEMT devices from Infineon and Transphorm are compared at different X-ray radiation dose. It is shown that the device with pGaN gate is more robust having a stable threshold voltage (Vth). The Vth of device with MIS gate shifts towards negative direction firstly and shifts to forward direction then. A…

Bimodal intravascular volumetric imaging combining OCT and MPI. (arXiv:1911.09328v1 [physics.med-ph])

Intravascular optical coherence tomography (IVOCT) is a catheter based image modality allowing for high resolution imaging of vessels. It is based on a fast sequential acquisition of A-scans with an axial spatial resolution in the range of 5 to 10 {\mu}m, i.e., one order of magnitude higher than in conventional methods like intravascular ultrasound or…

Rheology of mixed solutions of sulfonated methyl esters and betaine in relation to the growth of giant micelles and shampoo applications. (arXiv:1911.09330v1 [physics.chem-ph])

This is a review article on the rheological properties of mixed solutions of sulfonated methyl esters (SME) and cocamidopropyl betaine (CAPB), which are related to the synergistic growth of giant micelles. Effects of additives, such as fatty alcohols, cocamide monoethanolamine (CMEA) and salt, which are expected to boost the growth of wormlike micelles, are studied.…