Results 1 to 10 of about 71,314 (310)

Adaptive data embedding for curved spaces [PDF]

iScience
Summary: Recent studies have demonstrated the significance of hyperbolic geometry in uncovering low-dimensional structure within complex hierarchical systems.
Anoop Praturu, Tatyana O. Sharpee
doaj   +2 more sources

Lorentz-regularized interpretable VAE for multi-scale single-cell transcriptomic and epigenomic embeddings [PDF]

Frontiers in Genetics
BackgroundSingle-cell multi-omics technologies capture cellular heterogeneity at unprecedented resolution, yet dimensionality reduction methods face a fundamental local–global trade-off: approaches optimized for local neighborhood preservation distort ...
Zeyu Fu, Jiawei Fu, Chunlin Chen, Keyang Zhang, Song Wang   +4 more
doaj   +2 more sources

Hyperbolic Spatial Covariance Modeling with Adaptive Signal Filtering for Robust Wi-Fi Indoor Positioning [PDF]

Sensors
Robust indoor positioning, crucial to modern location-based services, increasingly leverages Channel State Information (CSI) for its superior multipath resolution over the traditional RSSI.
Wenxu Wang, Mingxiang Liu
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HC-SPA: Hyperbolic Cosine-Based Symplectic Phase Alignment for Fusion Optimization [PDF]

Sensors
In multimodal collaborative learning, the gradient dynamics of heterogeneous modalities face significant challenges due to the curvature heterogeneity of parameter manifolds and mismatches in phase evolution.
Wenlong Zhang, Aiqing Fang, Ying Li, Yan Wei   +3 more
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Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data [PDF]

Mathematics
Hierarchical clustering analysis (HCA) is a widely used unsupervised learning method. Limitations of HCA, however, include imposing an artificial hierarchy onto non-hierarchical data and fixed two-way mergers at every level.
Korey P. Wylie, Jason R. Tregellas
doaj   +2 more sources

Modeling Tree-like Heterophily on Symmetric Matrix Manifolds [PDF]

Entropy
Tree-like structures, characterized by hierarchical relationships and power-law distributions, are prevalent in a multitude of real-world networks, ranging from social networks to citation networks and protein–protein interaction networks.
Yang Wu, Liang Hu, Juncheng Hu
doaj   +2 more sources

Hyperbolic Ricci-Bourguignon-Harmonic Flow [PDF]

Mathematics Interdisciplinary Research, 2022
In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the harmonic map flow between M and a fixed manifold N. At the first, we prove the unique short-time existence to solution of this system.
Shahrood Azami
doaj   +1 more source

Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures [PDF]

Épijournal de Géométrie Algébrique, 2023
In this paper, we study various hyperbolicity properties for a quasi-compact K\"ahler manifold $U$ which admits a complex polarized variation of Hodge structures so that each fiber of the period map is zero-dimensional.
Ya Deng
doaj   +1 more source

Black holes and large N complex saddles in 3D-3D correspondence

Journal of High Energy Physics, 2021
We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions ...
Sunjin Choi, Dongmin Gang, Nakwoo Kim
doaj   +1 more source

Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
We calculate the Chern-Simons invariants of the hyperbolic double twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of cone-manifold structures of double twist knots.
Ji-Young Ham, Joongul Lee
doaj   +1 more source