The quantum dense output problem is the process of evaluating time-accumulated observables from time-dependent quantum dynamics using quantum computers. This problem arises frequently in applications such as quantum c...
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The heart beats due to the synchronized contraction of cardiomyocytes triggered by a periodic sequence of electrical signals called action potentials, which originate in the sinoatrial node and spread through the hear...
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Forming long wavelength moiré superlattices (MSL) at small-angle twist van der Waals (vdW) bilayers has been a key approach to creating moiré flat bands1–8. The small-angle twist, however, leads to strong l...
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In this paper we present a new antithetic multilevel Monte Carlo (MLMC) method for the estimation of expectations with respect to laws of diffusion processes that can be elliptic or hypo-elliptic. In particular, we co...
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Label-free alignment between datasets collected at different times, locations, or by different instruments is a fundamental scientific task. Hyperbolic spaces have recently provided a fruitful foundation for the devel...
ISBN:
(纸本)9781713845393
Label-free alignment between datasets collected at different times, locations, or by different instruments is a fundamental scientific task. Hyperbolic spaces have recently provided a fruitful foundation for the development of informative representations of hierarchical data. Here, we take a purely geometric approach for label-free alignment of hierarchical datasets and introduce hyperbolic Procrustes analysis (HPA). HPA consists of new implementations of the three prototypical Procrustes analysis components: translation, scaling, and rotation, based on the Riemannian geometry of the Lorentz model of hyperbolic space. We analyze the proposed components, highlighting their useful properties for alignment. The efficacy of HPA, its theoretical properties, stability and computational efficiency are demonstrated in simulations. In addition, we showcase its performance on three batch correction tasks involving gene expression and mass cytometry data. Specifically, we demonstrate high-quality unsupervised batch effect removal from data acquired at different sites and with different technologies that outperforms recent methods for label-free alignment in hyperbolic spaces.
Hydrous and nominally anhydrous minerals (NAMs) are a fundamental class of solids of enormous significance to geophysics. They are the water carriers in the deep geological water cycle and impact structural, elastic, ...
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We model backreaction in AdS2 JT gravity via a proposed boundary dual Sachdev-Ye-Kitaev quantum dot coupled to Dirac fermion matter and study it from the perspective of quantum entanglement and chaos. The boundary eff...
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To address the threat posed by the nefarious use of radiological/nuclear sources, there is a growing interest in deploying connected static detector networks in cities. Connected detector networks can have improved de...
To address the threat posed by the nefarious use of radiological/nuclear sources, there is a growing interest in deploying connected static detector networks in cities. Connected detector networks can have improved detection sensitivity over unconnected networks by using the correlations between detectors. We explore the use of graph neural networks (GNNs) to exploit such correlations in a minimal detector network of two nodes and one edge in downtown Chicago. We compare a GNN model with and without message passing, and find that the model with message passing performs significantly better (p = 0.03), suggesting that it is leveraging spatiotemporal relationships to improve detection performance. Future work includes assessing the performance of GNN models on larger detector networks and benchmarking them against existing algorithms.
The alternating direction method of multipliers within a shape optimization framework is developed for solving geometric inverse problems, focusing on a cavity identification problem from the perspective of non-destru...
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We introduce a new class of optical beams, which feature a spatial profile akin to an "inverted pin". In particular, we asymptotically find that close to the axis the transverse amplitude profile of such bea...
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