Tootfinder

FactorHD: A Hyperdimensional Computing Model for Multi-Object Multi-Class Representation and Factorization
Yifei Zhou, Xuchu Huang, Chenyu Ni, Min Zhou, Zheyu Yan, Xunzhao Yin, Cheng Zhuo
https://arxiv.org/abs/2507.12366

FactorHD: A Hyperdimensional Computing Model for Multi-Object Multi-Class Representation and Factorization
Neuro-symbolic artificial intelligence (neuro-symbolic AI) excels in logical analysis and reasoning. Hyperdimensional Computing (HDC), a promising brain-inspired computational model, is integral to neuro-symbolic AI. Various HDC models have been proposed to represent class-instance and class-class relations, but when representing the more complex class-subclass relation, where multiple objects associate different levels of classes and subclasses, they face challenges for factorization, a crucia…

(CMC) 1-immersions of surfaces into hyperbolic 3-manifolds
Gabriella Tarantello, Stefano Trapani
https://arxiv.org/abs/2506.11894 https://

(CMC) 1-immersions of surfaces into hyperbolic 3-manifolds
Constant Mean Curvature (CMC) 1-immersions of surfaces into hyperbolic 3-manifolds are natural and yet rather curious objects in hyperbolic geometry with interesting applications. Firstly, Bryant revealed surprising relations between (CMC) $1$-immersions of surfaces into $\mathbb H^3$ (Bryant surfaces) and (cousins) minimal immersions into $\mathbb E^3.$ In addition, the interest to (CMC) immersions of a surface $S$ (closed, orientable, with genus $\mathfrak{g} \geq2$) into hyperbolic 3-manif…

$\sigma$-Maximal Ancestral Graphs
Binghua Yao, Joris M. Mooij
https://arxiv.org/abs/2507.00093 https://arxiv.org/pdf/2507.00093

$σ$-Maximal Ancestral Graphs
Maximal Ancestral Graphs (MAGs) provide an abstract representation of Directed Acyclic Graphs (DAGs) with latent (selection) variables. These graphical objects encode information about ancestral relations and d-separations of the DAGs they represent. This abstract representation has been used amongst others to prove the soundness and completeness of the FCI algorithm for causal discovery, and to derive a do-calculus for its output. One significant inherent limitation of MAGs is that they rule o…

This https://arxiv.org/abs/2502.20923 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Spinning boson stars in nonlinear sigma models and Universal Relations
Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear sigma model. Concretely, we obtain spinning boson star solutions for a family of models parametrized by the curvature of their two-dimensional target manifold, as well as for various self-interaction potentials. We derive the global properties and multipolar stru…