Publications related to Differential geometry applied to crystallography

A structured prediction approach for robot imitation learning

Aude Billard, Iason Batzianoulis, Anqing Duan

We propose a structured prediction approach for robot imitation learning from demonstrations. Among various tools for robot imitation learning, supervised learning has been observed to have a prominent role. Structured prediction is a form of supervised le ...

London2023

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Thanh Trung Huynh, Quoc Viet Hung Nguyen, Thành Tâm Nguyên

The task of discovering equivalent entities in knowledge graphs (KGs), so-called KG entity alignment, has drawn much attention to overcome the incompleteness problem of KGs. The majority of existing techniques learns the pointwise representations of entiti ...

London2023

Persistence and the Sheaf-Function Correspondence

Nicolas Michel Berkouk

The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M. When M is a finite dimensional real vector space, Kashiwara-Schapira have recently in ...

Cambridge2023

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Nicolas Monod

Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we solve the problem for all solvable Lie groups and more generally Lie groups w ...

San Diego2023

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

Frédéric Mila, Samuel Louis Nyckees, Afonso Dos Santos Rufino, Jeanne Colbois

The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively used to investigate both classical and quantum two-dimensional (2D) lattice models. The convergence of the algorithm can strongly vary from model to model depending on ...

College Pk2023

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Vincent Werlen

Side-by-side hybrid textiles are an intermediate step for the production of fibre-reinforcedthermoplastic composites. Press moulding these materials combining reinforcing fibre textiles andthermoplastic matrix textiles or flexible layers is a promising met ...

EPFL2023

Some Physical Implications Of Absolute Geometries In The Description Of Complex Systems Dynamics

Maria-Alexandra Paun

Some implications of absolute geometries in the description of complex systems dynamics, at various scale resolutions are highlighted. In such context, by means of an analytic geometry of 2 x 2 matrices, a generalization of the standard velocities space in ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2023

Diversity of radial spin textures in chiral materials

Oleg Yazyev, Daniel Gosalbez Martinez, Alberto Crepaldi

We introduce a classification of the radial spin textures in momentum space that emerge at the high-symmetry points in crystals characterized by nonpolar chiral point groups (D2, D3, D4, D6, T, O). Based on the symmetry constraints imposed by these point g ...

College Pk2023

Cohomology in singular blocks of parabolic category O

Jonathan Gruber

We determine the dimensions of Ext -groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category O for complex semisimple Lie algebras and affine Kac-Moody algebras. ...

2023

Differential geometry applied to crystallography

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A structured prediction approach for robot imitation learning

Moments of the number of points in a bounded set for number field lattices

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Persistence and the Sheaf-Function Correspondence

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Some Physical Implications Of Absolute Geometries In The Description Of Complex Systems Dynamics

Diversity of radial spin textures in chiral materials

Cohomology in singular blocks of parabolic category O

A structured prediction approach for robot imitation learning

Moments of the number of points in a bounded set for number field lattices

Persistence and the Sheaf-Function Correspondence

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

Diversity of radial spin textures in chiral materials

Cohomology in singular blocks of parabolic category O

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Some Physical Implications Of Absolute Geometries In The Description Of Complex Systems Dynamics