scholarly journals Shrinking Factor Dimension: A Reduced-Rank Approach

2018 ◽  
Author(s):  
Dashan Huang ◽  
Jiaen Li ◽  
Guofu Zhou
Keyword(s):  
Reduced Rank ◽  
Factor Dimension

scholarly journals Reduced rank multinomial logistic regression in Markov chains with application to cognitive data

2021 ◽  
Author(s):  
Pei Wang ◽  
Erin L. Abner ◽  
David W. Fardo ◽  
Frederick A. Schmitt ◽  
Gregory A. Jicha ◽  
...  
Keyword(s):  
Logistic Regression ◽  
Markov Chains ◽  
Multinomial Logistic Regression ◽  
Reduced Rank ◽  
Cognitive Data

scholarly journals Exploring the landscape of CHL strings on Td

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Anamaría Font ◽  
Bernardo Fraiman ◽  
Mariana Graña ◽  
Carmen A. Núñez ◽  
Héctor Parra De Freitas
Keyword(s):  
Gauge Group ◽  
Moduli Space ◽  
Dynkin Diagram ◽  
Fundamental Groups ◽  
Computer Algorithms ◽  
Abelian Gauge ◽  
Reduced Rank ◽  
Systematic Exploration ◽  
String Models ◽  
Simply Connected

Abstract Compactifications of the heterotic string on special Td/ℤ2 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II(d), which is not self-dual for d > 1. By using computer algorithms which exploit the properties of lattice embeddings, we perform a systematic exploration of the moduli space for d ≤ 2, and give a list of maximally enhanced points where the U(1)d+8 enhances to a rank d + 8 non-Abelian gauge group. For d = 1, these groups are simply-laced and simply-connected, and in fact can be obtained from the Dynkin diagram of E10. For d = 2 there are also symplectic and doubly-connected groups. For the latter we find the precise form of their fundamental groups from embeddings of lattices into the dual of II(2). Our results easily generalize to d > 2.

scholarly journals Sparse reduced‐rank regression for exploratory visualisation of paired multivariate data

2021 ◽  
Author(s):  
Dmitry Kobak ◽  
Yves Bernaerts ◽  
Marissa A. Weis ◽  
Federico Scala ◽  
Andreas S. Tolias ◽  
...  
Keyword(s):  
Multivariate Data ◽  
Reduced Rank Regression ◽  
Rank Regression ◽  
Reduced Rank
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