Picture-valued parity-biquandle bracket II. Examples. (arXiv:1911.07843v1 [math.GT])

In [3] we constructed the parity-biquandle bracket valued in {\em pictures} (linear combinations of $4$-valent graphs). We gave no example of classical links such that the parity-biquandle bracket of which is not trivial. In the present paper we slightly change the notation of the parity-biquandle bracket and give examples of knots and links having a…

Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers. (arXiv:1911.07881v1 [math.PR])

A unified treatment is given of some results of H. Donnelly-P. Li and L. Schwartz concerning the behaviour of heat semigroups on open manifolds with given compactifications, on one hand, and the relationship with the behaviour at infinity of solutions of related stochastic differential equations on the other. A principal tool is the use of…

Energetic Stable Discretization for Non-Isothermal Electrokinetics Model. (arXiv:1911.07884v1 [math.NA])

We propose an edge averaged finite element(EAFE) discretization to solve the Heat-PNP (Poisson-Nernst-Planck) equations approximately. Our method enforces positivity of the computed charged density functions and temperature function. Also the thermodynamic consistent discrete energy estimate which resembles the thermodynamic second law of the Heat-PNP system is prescribed. Numerical examples are provided.

Efficient function approximation on general bounded domains using splines on a cartesian grid. (arXiv:1911.07894v1 [math.NA])

Functions on a bounded domain in scientific computing are often approximated using piecewise polynomial approximations on meshes that adapt to the shape of the geometry. We study the problem of function approximation using splines on a simple, regular grid that is defined on a bounding box. This approach allows the use of high order and…

Frequency Separation for Real-World Super-Resolution. (arXiv:1911.07850v1 [eess.IV])

Most of the recent literature on image super-resolution (SR) assumes the availability of training data in the form of paired low resolution (LR) and high resolution (HR) images or the knowledge of the downgrading operator (usually bicubic downscaling). While the proposed methods perform well on standard benchmarks, they often fail to produce convincing results in…

Distributed Sequential Hypothesis Testing with Dependent Sensor Observations. (arXiv:1911.07873v1 [eess.SP])

In this paper, we consider the problem of distributed sequential detection using wireless sensor networks (WSNs) in the presence of imperfect communication channels between the sensors and the fusion center (FC). We assume that sensor observations are spatially dependent. We propose a copula-based distributed sequential detection scheme that characterizes the spatial dependence. Specifically, each local…

A Deep Learning Approach for Robust Corridor Following. (arXiv:1911.07896v1 [cs.RO])

For an autonomous corridor following task where the environment is continuously changing, several forms of environmental noise prevent an automated feature extraction procedure from performing reliably. Moreover, in cases where pre-defined features are absent from the captured data, a well defined control signal for performing the servoing task fails to get produced. In order to…

Self-Powered Solar Aerial Vehicles: Towards Infinite Endurance UAVs. (arXiv:1911.07904v1 [eess.SY])

A self-powered scheme is explored for achieving long-endurance operation, with the use of solar power and buoyancy lift. The end goal is the capability of infinite endurance while complying with the Unmanned Aerial Vehicle (UAV) dynamics and the required control performance, maneuvering, and duty cycles. Nondimensional power terms related to the UAV power demand and…