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Recently a new class of planar tessellations, named T-tessellations, was introduced. Splits, merges and a third local modification named flip where shown to be sufficient for exploring the space of T-tessellations. Based on these local…

Statistics Theory · Mathematics 2015-12-31 Kiên Kiêu , Katarzyna Adamczyk-Chauvat

In this work we show endpoint boundedness properties of pseudo-differential operators of type $(\rho,\rho)$, $0<\rho<1$, on Triebel-Lizorkin and Besov spaces. Our results are sharp and they also cover operators defined by compound symbols.

Analysis of PDEs · Mathematics 2018-11-27 Bae Jun Park

Locally standard $T$-pseudomanifolds were introduced by the authors in a previous work. They are topological stratified pseudomanifolds equipped with torus actions. Their equivariant homeomorphism types are classified by characteristic data…

Geometric Topology · Mathematics 2026-05-25 Yuya Koike

Recent advances in semi-supervised learning (SSL) demonstrate that a combination of consistency regularization and pseudo-labeling can effectively improve image classification accuracy in the low-data regime. Compared to classification,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Yuliang Zou , Zizhao Zhang , Han Zhang , Chun-Liang Li , Xiao Bian , Jia-Bin Huang , Tomas Pfister

Isomorphs are curves in the thermodynamic phase diagram of invariant excess entropy, structure, and dynamics, while pseudoisomorphs are curves of invariant structure and dynamics, but not of the excess entropy. The latter curves have been…

Soft Condensed Matter · Physics 2024-10-30 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

Global Navigation Satellite Systems (GNSS) are a widely used technology for positioning and navigation. GNSS positioning relies on pseudorange measurements from satellites to receivers. A pseudorange is the apparent distance between two…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

We show that, in the Teichm\"uller metric, "thin-framed triangles are thin"---that is, under suitable hypotheses, the variation of geodesics obeys a hyperbolic-like inequality. This theorem has applications to the study of random walks on…

Geometric Topology · Mathematics 2007-05-23 Moon Duchin

We investigate the common underlying discrete structures for various smooth and discrete nets. The main idea is to impose the characteristic properties of the nets not only on elementary quadrilaterals but also on larger parameter…

Differential Geometry · Mathematics 2018-02-15 Alexander I. Bobenko , Helmut Pottmann , Thilo Rörig

Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of dimension zero which are local topological operators. We investigate the consequences of regarding these operators as part of the global symmetry…

High Energy Physics - Theory · Physics 2023-11-30 Daniel Robbins , Eric Sharpe , Thomas Vandermeulen

We introduce the notion of a {\it mock tridiagonal system}. This is a generalization of a tridiagonal system in which the irreducibility assumption is replaced by a certain non-vanishing condition. We show how mock tridiagonal systems can…

Rings and Algebras · Mathematics 2008-07-29 Tatsuro Ito , Paul Terwilliger

Polynomial splines are ubiquitous in the fields of computer aided geometric design and computational analysis. Splines on T-meshes, especially, have the potential to be incredibly versatile since local mesh adaptivity enables efficient…

Algebraic Geometry · Mathematics 2019-03-15 Deepesh Toshniwal , Bernard Mourrain , Thomas Hughes

Piecewise Euclidean structures (identified solid Euclidean polyhedra) on topological 3-dimensional manifolds and pseudo-manifolds are constructed so that they admit pseudo-foliations, a generalized type of foliation. The construction of…

Differential Geometry · Mathematics 2007-05-23 Simon P Morgan

Partial-label learning (PLL) is an important branch of weakly supervised learning where the single ground truth resides in a set of candidate labels, while the research rarely considers the label imbalance. A recent study for imbalanced…

Machine Learning · Computer Science 2023-03-08 Mingyu Xu , Zheng Lian

We characterize general pseudo-harmonic morphisms from a Riemannian manifold to a Hermitian manifold as pseudo horizontally weakly conformal maps with an additional property. We study to what extent we can (locally) describe these…

Differential Geometry · Mathematics 2007-12-18 Radu Slobodeanu

Social network alignment aims at aligning person identities across social networks. Embedding based models have been shown effective for the alignment where the structural proximity preserving objective is typically adopted for the model…

Social and Information Networks · Computer Science 2021-11-23 Zihan Yan , Li Liu , Xin Li , William K. Cheung , Youmin Zhang , Qun Liu , Guoyin Wang

Parameter-ellipticity with respect to a closed subsector of the complex plane for pseudodifferential Douglis-Nirenberg systems is discussed and shown to imply the existence of a bounded H_\infty-calculus in suitable scales of Sobolev,…

Analysis of PDEs · Mathematics 2017-06-23 R. Denk , J. Saal , J. Seiler

In one of our previous papers we generalized the Buscher T-dualization procedure. Here we will investigate the application of this procedure to the theory of a bosonic string moving in the weakly curved background. We obtain the complete…

High Energy Physics - Theory · Physics 2016-03-29 Ljubica Davidović , Bojan Nikolić , Branislav Sazdović

In this survey article, we are interested on minimal triangulations of closed pl manifolds. We present a brief survey on the works done in last 25 years on the following: (i) Finding the minimal number of vertices required to triangulate a…

Geometric Topology · Mathematics 2007-05-23 Basudeb Datta

In this paper, we revisit the problem of classifying real algebraic and semialgebraic sets by their topological types, focusing on establishing the effectiveness of bounds rather than deriving new quantitative estimates. Building on Hardt's…

Algebraic Geometry · Mathematics 2024-12-24 Kartoue Mady Demdah , Ibrahim Nonkane

In this paper we define and study pseudoholomorphic vector bundles structures, particular cases of which are tangent and normal bundle almost complex structures. These are intrinsically related to the Gromov D-operator. As an application we…

Complex Variables · Mathematics 2007-05-23 B. Kruglikov