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Quantum algorithms and lower bounds for convex optimization [PDF]
Quantum, 2020 While recent work suggests that quantum computers can speed up the solution of semidefinite programs, little is known about the quantum complexity of more general convex optimization.
Shouvanik Chakrabarti +3 more
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Existence of Gauss John ellipsoid operator problem [PDF]
ITM Web of Conferences, 2022 There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid.
Yu Li’ao, Zou Du
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Energies, 2022 The surface morphology of fractures formed by hydraulic fracturing is usually rough. The roughness of the fracture surface is the main reason the actual fracture conductivity deviates from the ideal flat plate model result.
Qiqi Wang, Mian Chen, Jiaxin Lv
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Convex hull estimation of mammalian body segment parameters
Royal Society Open Science, 2021 Obtaining accurate values for body segment parameters (BSPs) is fundamental in many biomechanical studies, particularly for gait analysis. Convex hulling, where the smallest-possible convex object that surrounds a set of points is calculated, has been ...
Samuel J. Coatham +2 more
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Scaling of convex hull volume to body mass in modern primates, non-primate mammals and birds. [PDF]
PLoS ONE, 2014 The volumetric method of 'convex hulling' has recently been put forward as a mass prediction technique for fossil vertebrates. Convex hulling involves the calculation of minimum convex hull volumes (vol(CH)) from the complete mounted skeletons of modern ...
Charlotte A Brassey, William I Sellers
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Ellipses surrounding convex bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 If, for a double normal xx* of a convex body K, an ellipse E ∋ x, x* is included in K, we say that E is surrounded by the boundary of K. If, instead, in the plane of E, K is included in the convex hull of E, then we say that E is surrounding K.
Zamfirescu Tudor
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Wireless Sensor Network-Based Rigid Body Localization for NLOS Parameter Estimation
Sensors, 2022 In wireless sensor network (WSN)-based rigid body localization (RBL) systems, the non-line-of-sight (NLOS) propagation of the wireless signals leads to severe performance deterioration.
Pengwu Wan +3 more
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RECTILINEAR AND BROWNIAN MOTION FROM A RANDOM POINT IN A CONVEX REGION
Image Analysis and Stereology, 2011 A particle is projected from a point P in a subset E of a convex region H to a point Q in a uniformly random direction. The probability that Q lies in the interior of H at time t is obtained for two types of motion of the particle, rectilinear (i.e ...
Peter Ehlers, Ernest Enns, Tak Fung
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Relative convex body in Euclidean and hyperbolic spaces [PDF]
Delta Journal of Science, 2017 This paper is to generalize the concept of convex body to the so called relative convexbody in Euclidean space 𝐸 . Some geometrical and topological properties for this kind of sets arediscussed. Some properties of the central projection map(Beltrami map)
Doaa Mohammed El-sayed +2 more
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CONVEX BODIES AND GAUSSIAN PROCESSES
Image Analysis and Stereology, 2011 For several decades, the topics of the title have had a fruitful interaction. This survey will describe some of these connections, including the GB/GC classification of convex bodies, Ito-Nisio singularities from a geometric viewpoint, Gaussian ...
Richard A Vitale
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