scholarly journals Local conformal autoencoder for standardized data coordinates

2020 ◽  
Vol 117 (49) ◽  
pp. 30918-30927
Author(s):  
Erez Peterfreund ◽  
Ofir Lindenbaum ◽  
Felix Dietrich ◽  
Tom Bertalan ◽  
Matan Gavish ◽  
...  

We propose a local conformal autoencoder (LOCA) for standardized data coordinates. LOCA is a deep learning-based method for obtaining standardized data coordinates from scientific measurements. Data observations are modeled as samples from an unknown, nonlinear deformation of an underlying Riemannian manifold, which is parametrized by a few normalized, latent variables. We assume a repeated measurement sampling strategy, common in scientific measurements, and present a method for learning an embedding inRdthat is isometric to the latent variables of the manifold. The coordinates recovered by our method are invariant to diffeomorphisms of the manifold, making it possible to match between different instrumental observations of the same phenomenon. Our embedding is obtained using LOCA, which is an algorithm that learns to rectify deformations by using a local z-scoring procedure, while preserving relevant geometric information. We demonstrate the isometric embedding properties of LOCA in various model settings and observe that it exhibits promising interpolation and extrapolation capabilities, superior to the current state of the art. Finally, we demonstrate LOCA’s efficacy in single-site Wi-Fi localization data and for the reconstruction of three-dimensional curved surfaces from two-dimensional projections.

2020 ◽  
Vol 34 (04) ◽  
pp. 4844-4851
Author(s):  
Fanghui Liu ◽  
Xiaolin Huang ◽  
Yudong Chen ◽  
Jie Yang ◽  
Johan Suykens

In this paper, we propose a fast surrogate leverage weighted sampling strategy to generate refined random Fourier features for kernel approximation. Compared to the current state-of-the-art method that uses the leverage weighted scheme (Li et al. 2019), our new strategy is simpler and more effective. It uses kernel alignment to guide the sampling process and it can avoid the matrix inversion operator when we compute the leverage function. Given n observations and s random features, our strategy can reduce the time complexity for sampling from O(ns2+s3) to O(ns2), while achieving comparable (or even slightly better) prediction performance when applied to kernel ridge regression (KRR). In addition, we provide theoretical guarantees on the generalization performance of our approach, and in particular characterize the number of random features required to achieve statistical guarantees in KRR. Experiments on several benchmark datasets demonstrate that our algorithm achieves comparable prediction performance and takes less time cost when compared to (Li et al. 2019).


Informatics ◽  
2020 ◽  
Vol 7 (4) ◽  
pp. 37
Author(s):  
Loraine Franke ◽  
Daniel Haehn

Modern scientific visualization is web-based and uses emerging technology such as WebGL (Web Graphics Library) and WebGPU for three-dimensional computer graphics and WebXR for augmented and virtual reality devices. These technologies, paired with the accessibility of websites, potentially offer a user experience beyond traditional standalone visualization systems. We review the state-of-the-art of web-based scientific visualization and present an overview of existing methods categorized by application domain. As part of this analysis, we introduce the Scientific Visualization Future Readiness Score (SciVis FRS) to rank visualizations for a technology-driven disruptive tomorrow. We then summarize challenges, current state of the publication trend, future directions, and opportunities for this exciting research field.


2016 ◽  
Vol 50 (29) ◽  
pp. 4103-4121 ◽  
Author(s):  
Lindsey Waterton Taylor ◽  
Xiaogang Chen

Current state of the art within textile truss structures requires a variety of production, assembly and joining processes to conclude in a fully integrated truss configuration. This approach sees the joining and bonding of separate struts to node parts. The node is the connecting area which accommodates the strut-to-strut intersections. A production process of separate truss components (struts and nodes) inherently has constraints, such as increased labour, bonding issues and longevity of product. In the development of a fully integrated textile truss, the utilisation of conventional weaving technology and production principles allowed the development of the three-dimensional woven nodal truss structure. The three-dimensional woven nodal truss structure’s node and nodal segmentation, defined by boundary lines provided defined areas within the weaving width, length and depth for the assignment of weave architectures. The commonalities within the production of varying strut-to-strut intersections and strut-to-strut variable dimensions within a T-shaped and K-shaped nodal configuration provide the foundations for the development of elementary nodes for other three-dimensional woven nodal truss structures. The development of the generic procedure and application of the three-dimensional-to-two-dimensional-to-three-dimensional nodal structure production process and elementary nodes will be presented within this article.


2021 ◽  
Vol 94 (1119) ◽  
pp. 20200798
Author(s):  
Fréderic Van der Cruyssen ◽  
Tomas-Marijn Croonenborghs ◽  
Tara Renton ◽  
Robert Hermans ◽  
Constantinus Politis ◽  
...  

Magnetic resonance neurography allows for the selective visualization of peripheral nerves and is increasingly being investigated. Whereas in the past, the imaging of the extracranial cranial and occipital nerve branches was inadequate, more and more techniques are now available that do allow nerve imaging. This basic review provides an overview of the literature with current state of the art, anatomical landmarks and future perspectives. Furthermore, we illustrate the possibilities of the three-dimensional CRAnial Nerve Imaging (3D CRANI) MR-sequence by means of a few case studies.


Author(s):  
Sergei A. Volkov ◽  
Judy M. Vance

Abstract Virtual Reality techniques provide a unique new way to interact with three-dimensional digital objects. Virtual prototyping refers to the use of virtual reality to obtain evaluations of designs while they are still in digital form before physical prototypes are built. While the current state-of-the-art in virtual reality relies mainly on the use of stereo viewing and auditory feedback, commercial haptic devices have recently become available that can be integrated into the virtual environment to provide force feedback to the user. This paper outlines a study that was performed to determine whether the addition of force feedback to the virtual prototyping task improved the ability of the participants to make design decisions. The specific task involved comparing the location and movement of two virtual parking brakes located in the virtual cockpit of an automobile. The paper describes the purpose, methods and results of the study.


2020 ◽  
Vol 49 (5) ◽  
pp. 1357-1384 ◽  
Author(s):  
Xinyu Guan ◽  
Fengqian Chen ◽  
Qianrong Fang ◽  
Shilun Qiu

We summarize in this review the current state-of-the-art development of three dimensional covalent organic frameworks.


2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Adam Targui ◽  
Wagdi George Habashi

Purpose Responsible for lift generation, the helicopter rotor is an essential component to protect against ice accretion. As rotorcraft present a smaller wing cross-section and a lower available onboard power compared to aircraft, electro-thermal heating pads are favored as they conform to the blades’ slender profile and limited volume. Their optimization is carried out here taking into account, for the first time, the highly three-dimensional (3D) nature of the flow and ice accretion, in contrast to the current state-of-the-art that is limited to two-dimensional (2D) airfoils. Design/methodology/approach Conjugate heat transfer simulation results are provided by the truly 3D finite element Navier–Stokes analysis package-ICE code, embedded in a proprietary rotorcraft simulation toolkit, with reduced-order modeling providing a time-efficient evaluation of the objective and constraint functions at every iteration. The proposed methodology optimizes heating pads extent and power usage and is versatile enough to address in a computationally efficient manner a wide variety of optimization formulations. Findings Low-error reduced-order modeling strategies are introduced to make the tackling of complex 3D geometries feasible in todays’ computers, with the developed framework applied to four problem formulations, demonstrating marked reductions to power consumption along with improved aerodynamics. Originality/value The present paper proposes a 3D framework for the optimization of electro-thermal rotorcraft ice protection systems, in hover and forward flight. The current state-of-the-art is limited to 2D airfoils.


1995 ◽  
Vol 38 (5) ◽  
pp. 1126-1142 ◽  
Author(s):  
Jeffrey W. Gilger

This paper is an introduction to behavioral genetics for researchers and practioners in language development and disorders. The specific aims are to illustrate some essential concepts and to show how behavioral genetic research can be applied to the language sciences. Past genetic research on language-related traits has tended to focus on simple etiology (i.e., the heritability or familiality of language skills). The current state of the art, however, suggests that great promise lies in addressing more complex questions through behavioral genetic paradigms. In terms of future goals it is suggested that: (a) more behavioral genetic work of all types should be done—including replications and expansions of preliminary studies already in print; (b) work should focus on fine-grained, theory-based phenotypes with research designs that can address complex questions in language development; and (c) work in this area should utilize a variety of samples and methods (e.g., twin and family samples, heritability and segregation analyses, linkage and association tests, etc.).


1976 ◽  
Vol 21 (7) ◽  
pp. 497-498
Author(s):  
STANLEY GRAND

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