Pendant drops suspended on the underside of a wet substrate are known to accumulate fluid form the surrounding thin liquid film, a process that often results in dripping. The growth of such drops is hastened by their ability to translate over an otherwise uniform horizontal film. Here we show that this scenario is surprisingly reversed when the sub...
In this article we address the question whether it is possible to learn the differential equations describing the physical properties of a dynamical system, subject to non-conservative forces, from observations of its realspace trajectory(ies) only. We introduce a network that incorporates a difference approximation for the second order derivative ...
Published in Digital Biomarkers
We conducted a pilot study using a passive radio-wave-based home monitor in individuals with Parkinson disease (PD) with a focus on gait, home activity, and time in bed. We enrolled 7 ambulatory individuals to have the device installed in the bedroom of their homes over 8 weeks and performed standard PD assessments at baseline. We evaluated the abi...
We present the extensions of the Siegel integral formula ([10]), which counts the vectors of the random lattice, to the context of counting its sublattices and flags. Perhaps surprisingly, it turns out that many quantities of interest diverge to infinity.
We introduce a new approach to study finite-dimensional representations of the quantum group of the affine Lie superalgebra ${\rm L}{\mf{gl}}_{M|N}=\C[t,t^{-1}]\ot\mf{gl}_{M|N}$ ($M\neq N$). We explain how the representations of the quantum group of ${\rm L}{\mf{gl}}_{M|N}$ are directly determined by those of the quantum affine algebra of type $A$,...
Combinatorial games are widely used in finite model theory, constraint satisfaction, modal logic and concurrency theory to characterize logical equivalences between structures. In particular, Ehrenfeucht-Fraisse games, pebble games, and bisimulation games play a central role. We show how each of these types of games can be described in terms of an ...
Future, "NextG" cellular networks will be natively cloud-based and built upon programmable, virtualized, and disaggregated architectures. The separation of control functions from the hardware fabric and the introduction of standardized control interfaces will enable the definition of custom closed-control loops, which will ultimately enable embedde...
Published in Nature Communications
Several key tasks in quantum information processing can be regarded as channel manipulation. Here, focusing on the class of distillation protocols, the authors derive general bounds on resource overhead and incurred errors, showing application to magic state distillation and quantum channel capacities.
In 1982, Dr. Sam Vaknin pondered the idea of reconstructing physics based on time as a field. His idea appeared in his doctorate dissertation as an amendment to the Dirac spinor equation. Sam saw the Quantum Field Theory particles and momentum and energy as a result of the language of physics and of the way the human mind perceives reality and not ...
With growing concerns about the safety and robustness of neural networks, a number of researchers have successfully applied abstract interpretation with numerical domains to verify properties of neural networks. Why do numerical domains work for neural-network verification? We present a theoretical result that demonstrates the power of numerical do...
