Article
Computer Science, Software Engineering
Hui Wang, Bitao Ma, Junjie Cao, Xiuping Liu, Hui Huang
Summary: We propose a novel method that addresses the problem of multiple solutions in deep functional map matching for shapes with left-to-right reflectional intrinsic symmetries. Our method can detect both direct correspondences and symmetric correspondences among shapes simultaneously. It also detects the reflectional intrinsic symmetry of each shape. This is achieved by using two Siamese networks, learning consistent direct descriptors and their symmetric counterparts, combined with carefully designed regularized functional maps and supervised loss.
Article
Mathematics, Applied
Giulio Ciraolo, Xiaoliang Li
Summary: In this paper, the authors consider a partially overdetermined problem for anisotropic N-Laplace equations in a convex cone. They prove the existence of a solution and a rigidity result using a prescribed logarithmic condition and the characterization of minimizers of anisotropic isoperimetric inequality inside convex cones.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Article
Psychology, Multidisciplinary
Na Chen, Katsumi Watanabe, Makoto Wada
Summary: The study found significant associations between autistic traits and choices of color-taste, shape-taste, and shape-color associations. Participants with higher autistic quotient scores tended to choose fewer consensual color-taste/shape-color associations, but there was no difference in choosing shape-taste associations. This suggests that participants with higher autistic quotient scores may have reduced prior knowledge effect in statistic learning.
FRONTIERS IN PSYCHOLOGY
(2021)
Article
Multidisciplinary Sciences
Guo Chuan Thiang, Hai Zhang
Summary: The interface between two materials described by spectrally gapped Hamiltonians is expected to host an in-gap interface mode, whenever a certain topological invariant changes across the interface. We provide a precise statement of this bulk-interface correspondence and its rigorous justification. The correspondence applies to continuum and lattice models of interfaces between one-dimensional materials with inversion symmetry, with dislocation models being of particular interest.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Mathematics
Weiwei Ao, Juan Davila, Manuel del Pino, Monica Musso, Juncheng Wei
Summary: The article investigates k-vortex solutions in the generalized surface quasi-geostrophic equation. In special cases, vortices can move along an axis with constant speed or rotate around the origin with the same speed, reducing the problem to handling a fractional elliptic equation. A key element in the construction is proving the non-degeneracy of the radial ground state for the fractional plasma problem.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
(2021)
Article
History & Philosophy Of Science
Anselm Winfried Muller
Summary: The text discusses Anscombe's views on causality, emphasizing the importance of understanding specific causal expressions. It suggests that causality consists in the derivative nature of effects from their causes, but there is debate over how to interpret this concept. It also highlights the necessity of identifying a core feature of causality, as well as the significance of individual subjective consciousness of causal agency in understanding causality.
Article
Psychology, Multidisciplinary
Xianwei Meng, Na Chen, Junya Ishida, Katsumi Watanabe, Taro Murakami
Summary: This study investigates whether Japanese preschool children demonstrate specific biases in shape-color, shape-taste, and color-taste associations. The results show that children exhibit crossmodal correspondences in shape-color, shape-taste, and color-taste associations, and their choices are not influenced by their individual preferences.
FRONTIERS IN PSYCHOLOGY
(2023)
Article
Mathematics, Applied
Sining Gong, Johnny Guzman, Michael Neilan
Summary: We demonstrate that three-dimensional Worsey-Farin refinements maintain the shape regularity of their parent triangulations.
JOURNAL OF SCIENTIFIC COMPUTING
(2023)
Review
Biophysics
Charles Spence
Summary: A growing body of experimental research has shown that shape qualities such as curvature, symmetry, orientation, texture, and movement are associated with taste expectations and experiences. The origins of shape-taste correspondences are not fully understood yet, but they may be elicited directly or metaphorically translated from temporal taste sensations. Emotional mediation and associative learning also play a role in the affinity between shape properties and taste. However, using shape-taste correspondences to influence behavior and perception in the real world is challenging due to the multiple associations of shape properties.
MULTISENSORY RESEARCH
(2023)
Article
Chemistry, Multidisciplinary
Tianyu Liu, Noah P. Holzapfel, Patrick M. Woodward
Summary: A symmetry mode analysis was performed on hybrid organic-inorganic layered perovskites adopting the n = 1 Ruddlesden-Popper (RP) structure, resulting in 47 symmetrically distinct patterns of octahedral tilting. The crystal structures of compounds in this family were compared with the predictions of the analysis. The majority of the unique structures exhibited symmetries in agreement with octahedral tilting alone, while some compounds showed additional features that further lowered the symmetry.
Article
Materials Science, Multidisciplinary
J. de la Cruz, J. S. Murguia, H. C. Rosu
Summary: In this study, we investigated symmetry breaking and recovery induced by a parametric potential generated via the strictly isospectral factorization method using Hoder regularity analysis. The parametric isospectral potential displayed a P-m symmetry for values moderately close to the singular value, but the original symmetry was recovered at large parameter values. A multifractal spectrum analysis revealed a convenient method for detecting symmetry recovery at a much higher precision value of the parameter.
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida, Devon Stockal
Summary: In this study, a strong/weak duality between a Heisenberg coset with sl n subregular W-algebra symmetry and a theory with sl(n|1)-structure is examined. Correlator correspondences for a series of generalized duality are derived, as part of a project to realize duality of corner vertex operator algebras proposed by Gaiotto and Rapcak. Another type of duality involving an additional pair of fermions is also examined, which is a natural generalization of the fermionic FZZ-duality.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
History & Philosophy Of Science
Alexander R. Pruss
Summary: Classical real-valued probabilities have philosophical costs, and three non-classical approaches have been suggested to avoid the drawbacks. However, these approaches have been criticized for failing to preserve intuitive symmetries. This paper offers technical results to explore the conditions under which these symmetries can be preserved by these non-classical probabilities.
Article
Engineering, Electrical & Electronic
Zhiyuan Zhang, Jiadai Sun, Yuchao Dai, Bin Fan, Qi Liu
Summary: This paper presents a novel end-to-end learning-based method to estimate dense correspondence of 3D point clouds. By formulating the point matching problem as a zero-one assignment problem, it achieves state-of-the-art performance while implementing the one-to-one principle.
IEEE SIGNAL PROCESSING LETTERS
(2022)
Article
Computer Science, Artificial Intelligence
Remi Giraud, Rodrigo Borba Pinheiro, Yannick Berthoumieu
Summary: With the increasing use of wide-angle image capture devices and the need for fast and accurate image analysis in computer vision, there is a demand for dedicated under-representation methods. This work presents SphSPS, a new decomposition method for wide 360° omnidirectional or spherical images, which respects both the geometry of the 3D spherical acquisition space and the boundaries of image objects. It significantly outperforms existing methods in terms of segmentation accuracy, robustness to noise, and regularity, providing a valuable tool for superpixel-based applications on 360° images.
PATTERN RECOGNITION
(2023)