Results 21 to 30 of about 209,957 (232)
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor
Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 961-985, 15 January 2023., 2023 For material modeling of microstructured media, an accurate characterization of the underlying microstructure is indispensable. Mathematically speaking, the overall goal of microstructure characterization is to find simple functionals which describe the geometric shape as well as the composition of the microstructures under consideration and enable ...
Felix Ernesti +5 more
wiley +1 more source
Double weighting convolutional neural net‐works for multi‐view 3D shape recognition
IET Computer Vision, EarlyView., 2022 Abstract Three‐dimensional (3D) object recognition based on multiple views has been a popular area of research in recent years. Existing methods based on the grouping mechanism cannot sensibly group the views. Thus, the 3D shape descriptor that is generated by the final fusion is not representative, and the recognition accuracy still requires ...
Shaohua Qi, Weijun Li, Guowei Yang
wiley +1 more source
The research of (G,w)-Chaos and G-Lipschitz shadowing property
AIMS Mathematics, 2022 In this paper, we introduce the concepts of (G,w)− Chaos and G− Lipschitz shadowing property. We study the dynamical properties of (G,w)− Chaos in the inverse limit space under group action.
Zhanjiang Ji
doaj +1 more source
Equivariant wave maps exterior to a ball [PDF]
Nonlinearity, 2012 We consider the exterior Cauchy-Dirichlet problem for equivariant wave maps from 3+1 dimensional Minkowski spacetime into the three-sphere. Using mixed analytical and numerical methods we show that, for a given topological degree of the map, all solutions starting from smooth finite energy initial data converge to the unique static solution (harmonic ...
Piotr Bizoń +2 more
openalex +7 more sources
ReBiDet: An Enhanced Ship Detection Model Utilizing ReDet and Bi-Directional Feature Fusion
Applied Sciences, 2023 To enhance ship detection accuracy in the presence of complex scenes and significant variations in object scales, this study introduces three enhancements to ReDet, resulting in a more powerful ship detection model called rotation-equivariant ...
Zexin Yan +5 more
doaj +1 more source
Moment Maps and Equivariant Volumes [PDF]
Acta Mathematica Sinica, English Series, 2007 misprints corrected, some new results ...
DELLA VEDOVA, ALBERTO, PAOLETTI, ROBERTO
openaire +3 more sources
Non-isometric codes for the black hole interior from fundamental and effective dynamics
Journal of High Energy Physics, 2023 We introduce a new holographic map for encoding black hole interiors by including both fundamental and effective dynamics. This holographic map is constructed by evolving a state in the effective, semiclassical gravity description of the interior ...
Oliver DeWolfe, Kenneth Higginbotham
doaj +1 more source
OrtDet: An Orientation Robust Detector via Transformer for Object Detection in Aerial Images
Remote Sensing, 2022 The detection of arbitrarily rotated objects in aerial images is challenging due to the highly complex backgrounds and the multiple angles of objects.
Ling Zhao +4 more
doaj +1 more source
Generalized Permutants and Graph GENEOs
Machine Learning and Knowledge Extraction, 2023 This paper is part of a line of research devoted to developing a compositional and geometric theory of Group Equivariant Non-Expansive Operators (GENEOs) for Geometric Deep Learning. It has two objectives. The first objective is to generalize the notions
Faraz Ahmad +2 more
doaj +1 more source