Auto-encoding a Knowledge Graph Using a Deep Belief Network: A Random Fields Perspective. (arXiv:1911.06322v1 [cs.NE])

We started with a knowledge graph of connected entities and descriptive properties of those entities, from which, a hierarchical representation of the knowledge graph is derived. Using a graphical, energy-based neural network, we are able to show that the structure of the hierarchy can be internally captured by the neural network, which allows for efficient…

On the Behaviour of Coalgebras with Side Effects and Algebras with Effectful Iteration. (arXiv:1911.06346v1 [cs.LO])

For every finitary monad $T$ on sets and every endofunctor $F$ on the category of $T$-algebras we introduce the concept of an ffg-Elgot algebra for $F$, that is, an algebra admitting coherent solutions for finite systems of recursive equations with effects represented by the monad $T$. The goal is to study the existence and construction…

In Search of the Fastest Concurrent Union-Find Algorithm. (arXiv:1911.06347v1 [cs.DS])

Union-Find (or Disjoint-Set Union) is one of the fundamental problems in computer science; it has been well-studied from both theoretical and practical perspectives in the sequential case. Recently, there has been mounting interest in analyzing this problem in the concurrent scenario, and several asymptotically-efficient algorithms have been proposed. Yet, to date, there is very little…

Quasinormal-mode modeling and design in nonlinear nano-optics. (arXiv:1911.06373v1 [physics.optics])

Based on quasinormal-mode theory, we propose a novel approach enabling a deep analytical insight into the multi-parameter design and optimization of nonlinear photonic structures at subwavelength scale. A key distinction of our method from previous formulations relying on multipolar Mie-scattering expansions is that it directly exploits the natural resonant modes of the nanostructures, which provide…

Spatially Heterogeneous Dynamics of Cells in a Growing Tumor Spheroid: Comparison Between Theory and Experiments. (arXiv:1911.06383v1 [physics.bio-ph])

Collective cell movement, characterized by multiple cells that are in contact for substantial periods of time and undergo correlated motion, plays a central role in cancer and embryogenesis. Recent imaging experiments have provided time-dependent traces of individual cells, thus providing an unprecedented picture of tumor spheroid growth. By using simulations of a minimal cell model,…

Maxwell’s definition of electric polarization as displacement. (arXiv:1911.06387v1 [physics.class-ph])

After reaffirming that the macroscopic dipolar electromagnetic equations, which today are commonly referred to as Maxwell’s equations, are found in Maxwell’s Treatise, we explain from his Treatise that Maxwell defined his displacement vector D as the electric polarization and did not introduce in his Treatise or papers the concept of electric polarization P or the…

Near source fluorescence spectroscopy for miniaturized thermal atomic beams. (arXiv:1911.06388v1 [physics.atom-ph])

Miniature atomic beams can provide new functionalities for atom based sensing instruments such as atomic clocks and interferometers. We recently demonstrated a planar silicon device for generating well-collimated thermal atomic beams [Nat Commun 10, 1831 (2019)]. Here, we present a near-source fluorescence spectroscopy (NSFS) technique that can fully characterize such miniature beams even when measured…

Depletion Imaging of Rydberg atoms in cold atomic gases. (arXiv:1911.06397v1 [physics.atom-ph])

We present a depletion imaging technique to map out the spatial and temporal dependency of the density distribution of an ultracold gas of Rydberg atoms. Locally resolved absorption depletion, observed through differential ground state absorption imaging of a $^{87}\text{Rb}$ cloud in presence and absence of pre-excited Rydberg atoms, reveals their projected two-dimensional distribution. By employing…

Mechanical squeezing via fast continuous measurement. (arXiv:1911.06412v1 [quant-ph])

We revisit quantum state preparation of an oscillator by continuous linear position measurement. Quite general analytical expressions are derived for the conditioned state of the oscillator. Remarkably, we predict that quantum squeezing is possible outside of both the backaction dominated and quantum coherent oscillation regimes, relaxing experimental requirements even compared to ground-state cooling. This provides…