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MeshCNN Open
Polygonal meshes provide an efficient representation for 3D shapes. They explicitly captureboth shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This non-uniformi…
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An Introduction to Optimization on Smooth Manifolds Open
Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dyna…
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DeepIGeoS: A Deep Interactive Geodesic Framework for Medical Image Segmentation Open
Accurate medical image segmentation is essential for diagnosis, surgical planning and many other applications. Convolutional Neural Networks (CNNs) have become the state-of-the-art automatic segmentation methods. However, fully automatic r…
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Toward a Definition of Complexity for Quantum Field Theory States Open
We investigate notions of complexity of states in continuous many-body quantum systems. We focus on Gaussian states which include ground states of free quantum field theories and their approximations encountered in the context of the conti…
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Light-Ring Stability for Ultracompact Objects Open
We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e.,…
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Entanglement Equilibrium and the Einstein Equation Open
A link between the semiclassical Einstein equation and a maximal vacuum entanglement hypothesis is established. The hypothesis asserts that entanglement entropy in small geodesic balls is maximized at fixed volume in a locally maximally sy…
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Anti–de Sitter Space from Optimization of Path Integrals in Conformal Field Theories Open
We introduce a new optimization procedure for Euclidean path integrals, which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed. Equivalen…
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Gravitational lensing by rotating wormholes Open
In this paper the deflection angle of light by a rotating Teo wormhole spacetime is calculated in the weak limit approximation. We mainly focus on the weak deflection angle by revealing the gravitational lensing as a partially global topol…
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Circuit complexity in fermionic field theory Open
We define and calculate versions of complexity for free fermionic quantum\nfield theories in 1+1 and 3+1 dimensions, adopting Nielsen's geodesic\nperspective in the space of circuits. We do this both by discretizing and\nidentifying approp…
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Bulk locality from modular flow Open
We study the reconstruction of bulk operators in the entanglement wedge in\nterms of low energy operators localized in the respective boundary region. To\nleading order in $N$, the dual boundary operators are constructed from the\nmodular …
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Foundations of the Electromagnetic Theory Open
In this paper equations in R3 which are illustrations of “linear” ellipses, i.e. ellipses which tend to become segments of a geodesic of R2, because their eccentricities tend to unit () will be found. During a linearization process of elli…
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Lensing by Kerr black holes Open
Interpreting horizon-scale observations of astrophysical black holes demands\na general understanding of null geodesics in the Kerr spacetime. These may be\ndivided into two classes: "direct" rays that primarily determine the\nobservationa…
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Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions Open
The recently proposed definition of complexity for static and spherically\nsymmetric self--gravitating systems [1], is extended to the fully dynamic\nsituation. In this latter case we have to consider not only the complexity\nfactor of the…
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Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment Open
We apply the Gauss-Bonnet theorem to the study of light rays in a plasma medium in a static and spherically symmetric gravitational field and also to the study of timelike geodesics followed for test massive particles in a spacetime with t…
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{Euclidean, metric, and Wasserstein} gradient flows: an overview Open
This is an expository paper on the theory of gradient flows, and in\nparticular of those PDEs which can be interpreted as gradient flows for the\nWasserstein metric on the space of probability measures (a distance induced by\noptimal trans…
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Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes Open
By using the Gauss-Bonnet theorem, the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime has been recently discussed, especially by taking account of the finite distance from a lens object to a lig…
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Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm Open
The Newman-Janis (NJ) algorithm has been extensively used in the literature\nto generate rotating black hole solutions from nonrotating seed spacetimes. In\nthis work, we show, using various constants of motion, that the null geodesic\nequ…
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A public code for general relativistic, polarised radiative transfer around spinning black holes Open
Ray tracing radiative transfer is a powerful method for comparing theoretical\nmodels of black hole accretion flows and jets with observations. We present a\npublic code, grtrans, for carrying out such calculations in the Kerr metric,\ninc…
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Circular orbits and related quasiharmonic oscillatory motion of charged particles around weakly magnetized rotating black holes Open
We study motion of charged particles in the field of a rotating black hole\nimmersed into an external asymptotically uniform magnetic field, focusing on\nthe epicyclic quasi-circular orbits near the equatorial plane. Separating the\ncircul…
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Quantum complexity and negative curvature Open
As time passes, once simple quantum states tend to become more complex. For\nstrongly coupled k-local Hamiltonians, this growth of computational complexity\nhas been conjectured to follow a distinctive and universal pattern. In this\npaper…
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Geometric orbital susceptibility: Quantum metric without Berry curvature Open
The orbital magnetic susceptibility of an electron gas in a periodic\npotential depends not only on the zero field energy spectrum but also on the\ngeometric structure of cell-periodic Bloch states which encodes interband\neffects. In addi…
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Heterogeneous Domain Adaptation: An Unsupervised Approach Open
Domain adaptation leverages the knowledge in one domain-the source domain-to improve learning efficiency in another domain-the target domain. Existing heterogeneous domain adaptation research is relatively well-progressed but only in situa…
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Deep Geodesic Learning for Segmentation and Anatomical Landmarking Open
In this paper, we propose a novel deep learning framework for anatomy segmentation and automatic landmarking. Specifically, we focus on the challenging problem of mandible segmentation from cone-beam computed tomography (CBCT) scans and id…
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Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics Open
We construct regular rotating black hole and no-horizon spacetimes based on\nthe recently introduced spherically symmetric generic regular black hole\nspacetimes related to electric or magnetic charge under nonlinear\nelectrodynamics coupl…
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Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding Open
We endow the $\sqrt{8/3}$-Liouville quantum gravity sphere with a metric space structure and show that the resulting metric measure space agrees in law with the Brownian map. Recall that a Liouville quantum gravity sphere is a priori natur…
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A stereoscopic look into the bulk Open
Here, we present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators. The CFT operators of interest are the “OP…
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Witten diagrams revisited: the AdS geometry of conformal blocks Open
Here, we develop a new method for decomposing blocks. The steps involved are elementary, requiring no explicit integration, and operate directly in position space. Central to this construction is an appealingly simple answer to the questio…
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Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem Open
In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-Garc\'ia (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the Gau…
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Background–Foreground Modeling Based on Spatiotemporal Sparse Subspace Clustering Open
Background estimation and foreground segmentation are important steps in many high-level vision tasks. Many existing methods estimate background as a low-rank component and foreground as a sparse matrix without incorporating the structural…
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Finite-distance gravitational deflection of massive particles by a Kerr-like black hole in the bumblebee gravity model Open
In this paper, we study the weak gravitational deflection angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection angle f…