Concept
Vector (mathematics and physics)
Related publications (73)
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 Pk2023Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
Iterative substructuring Domain Decomposition (DD) methods have been extensively studied, and they are usually associated with nonoverlapping decompositions. It is less known that classical overlapping DD methods can also be formulated in substructured for ...
2022Further results on latent discourse models and word embeddings
We discuss some properties of generative models for word embeddings. Namely, (Arora et al., 2016) proposed a latent discourse model implying the concentration of the partition function of the word vectors. This concentration phenomenon led to an asymptotic ...
MICROTOME PUBL2021Collaborative Learning in the Jungle (Decentralized, Byzantine, Heterogeneous, Asynchronous and Nonconvex Learning)
Rachid Guerraoui, Sadegh Farhadkhani, El Mahdi El Mhamdi, Le Nguyen Hoang, Sébastien Louis Alexandre Rouault, Arsany Hany Abdelmessih Guirguis
We study Byzantine collaborative learning, where n nodes seek to collectively learn from each others' local data. The data distribution may vary from one node to another. No node is trusted, and f < n nodes can behave arbitrarily. We prove that collaborati ...
2021Coarse graining and large-N behavior of the d-dimensional N-clock model
We study the asymptotic behavior of the N-clock model, a nearest neighbors ferromagnetic spin model on the d-dimensional cubic epsilon-lattice in which the spin field is constrained to take values in a discretization S-N of the unit circle S-1 consisting o ...
2021Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma
We consider integer programming problems in standard form max{c(T)x : Ax = b, x >= 0, x is an element of Z(n)} where A is an element of Z(mxn), b is an element of Z(m), and c is an element of Z(n). We show that such an integer program can be solved in time ...
ASSOC COMPUTING MACHINERY2020On the density of the supremum of the solution to the linear stochastic heat equation
We study the regularity of the probability density function of the supremum of the solution to the linear stochastic heat equation. Using a general criterion for the smoothness of densities for locally nondegenerate random variables, we establish the smoot ...
SPRINGER2020MOSES: A Streaming Algorithm for Linear Dimensionality Reduction
This paper introduces Memory-limited Online Subspace Estimation Scheme (MOSES) for both estimating the principal components of streaming data and reducing its dimension. More specifically, in various applications such as sensor networks, the data vectors a ...
IEEE COMPUTER SOC2020On some consistent tests of mutual independence among several random vectors of arbitrary dimensions
Testing for mutual independence among several random vectors is a challenging problem, and in recent years, it has gained significant attention in statistics and machine learning literature. Most of the existing tests of independence deal with only two ran ...
SPRINGER2020Computational Analysis of the Mutual Constraints between Single‐Cell Growth and Division Control Models
John McKinney, Neeraj Dhar, Ambroise Roger Vuaridel
Three models of division control are proposed to achieve cell size homeostasis: sizer, timer, and adder. However, few published studies of division control take into account the dynamics of single‐cell growth and most assume that single‐cell growth is expo ...
2019