Some properties of $k$-bonacci words on infinite alphabet. (arXiv:1911.12416v1 [math.CO])

The Fibonacci word $W$ on an infinite alphabet was introduced in [Zhang et al., Electronic J. Combinatorics 2017 24(2), 2-52] as a fixed point of the morphism $2i\rightarrow (2i)(2i+1)$, $(2i+1) \rightarrow (2i+2)$, $i\geq 0$. Here, for any integer $k>2$, we define the infinite $k$-bonacci word $W^{(k)}$ on the infinite alphabet as the fixed point of…

Infinite time blow-up in the Patlak-Keller-Segel system: existence and stability. (arXiv:1911.12417v1 [math.AP])

Perhaps the most classical diffusion model for chemotaxis is the Patlak-Keller-Segel system \label{ks0} \left\{ \begin{aligned} u_t =& \Delta u – \nabla \cdot(u \nabla v) \quad \inn \R^2\times(0,\infty), v =& (-\Delta_{\R^2})^{-1} u := \frac 1{2\pi} \int_{\R^2} \, \log \frac 1{|x-z|} u(z,t)\, dz, \\ & \qquad\ u(\cdot ,0) = u_0 \ge 0\quad\hbox{in } \R^2. \end{aligned} \right.…

A Framework for Weighted-Sum Energy Efficiency Maximization in Wireless Networks. (arXiv:1911.12419v1 [cs.NI])

Weighted-sum energy efficiency (WSEE) is a key performance metric in heterogeneous networks, where the nodes may have different energy efficiency (EE) requirements. Nevertheless, WSEE maximization is a challenging problem due to its nonconvex sum-of-ratios form. Unlike previous work, this paper presents a systematic approach to WSEE maximization under not only power constraints, but also data…

Multi-moment maps on nearly K\”ahler six-manifolds. (arXiv:1911.12420v1 [math.DG])

We study multi-moment maps induced by a two-torus action on the four homogeneous nearly K\”ahler six-manifolds. Their explicit expression and stationary orbits are derived. The configuration of fixed-points and one-dimensional orbits is worked out for generic six-manifolds equipped with an $\mathrm{SU}(3)$-structure admitting a two-torus symmetry. Projecting the subspaces obtained to the orbit space yields a…

The Distance Matching Problem. (arXiv:1911.12432v1 [math.CO])

This paper introduces the $d$-distance matching problem, in which we are given a bipartite graph $G=(S,T;E)$ with $S=\{s_1,\dots,s_n\}$, a weight function on the edges and an integer $d\in\mathbb{N}$. The goal is to find a maximum weight subset $M\subseteq E$ of the edges satisfying the following two conditions: i) the degree of every node of $S$…

Volumetric Particle Tracking Velocimetry (PTV) Uncertainty Quantification. (arXiv:1911.12495v1 [physics.flu-dyn])

We introduce the first comprehensive approach to determine the uncertainty in volumetric Particle Tracking Velocimetry (PTV) measurements. Volumetric PTV is a state-of-the-art non-invasive flow measurement technique, which measures the velocity field by recording successive snapshots of the tracer particle motion using a multi-camera set-up. The measurement chain involves reconstructing the three-dimensional particle positions by a…

An End-to-end Framework for Unconstrained Monocular 3D Hand Pose Estimation. (arXiv:1911.12501v1 [cs.CV])

This work addresses the challenging problem of unconstrained 3D hand pose estimation using monocular RGB images. Most of the existing approaches assume some prior knowledge of hand (such as hand locations and side information) is available for 3D hand pose estimation. This restricts their use in unconstrained environments. We, therefore, present an end-to-end framework that…

System Integration and Control Design of a Maglev Platform for Space Vibration Isolation. (arXiv:1911.12503v1 [eess.SY])

Micro-vibration has been a dominant factor impairing the performance of scientific experiments which are expected to be deployed in a micro-gravity environment such as Spacelab. The micro-vibration has a serious impact on scientific experiments requiring a quasi-static environment. Therefore, we proposed a maglev vibration isolation platform (MVIP) operating in six degrees of freedom (DOF) to…

Augmentation Methods on Monophonic Audio for Instrument Classification in Polyphonic Music. (arXiv:1911.12505v1 [cs.LG])

Instrument classification is one of the fields in Music Information Retrieval (MIR) that has attracted a lot of research interest. However, the majority of that is dealing with monophonic music, while efforts on polyphonic material mainly focus on predominant instrument recognition or multi-instrument recognition for entire tracks. We present an approach for instrument classification in…

Improving Model Robustness Using Causal Knowledge. (arXiv:1911.12441v1 [cs.LG])

For decades, researchers in fields, such as the natural and social sciences, have been verifying causal relationships and investigating hypotheses that are now well-established or understood as truth. These causal mechanisms are properties of the natural world, and thus are invariant conditions regardless of the collection domain or environment. We show in this paper how…