Properties of Euclidean and non-Euclidean distance matrices
Linear Algebra and its Applications, 1985 A distance matrix D is defined to be a real symmetric matrix with zero diagonal and non-positive off-diagonal entries. D is said to be Euclidean of dimension p if there exist \(x_ 1,...,x_ n\in {\mathbb{R}}^ p\) such that \(D=-(1/2)[\| x_ i-x_ j\|^ 2]\), where \(\|.\|\) is the Euclidean norm, and if p is the smallest dimension for which such \(x_ j's\)
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S3RL: Enhancing Spatial Single‐Cell Transcriptomics With Separable Representation Learning
Advanced Science, EarlyView.Separable Spatial Representation Learning (S3RL) is introduced to enhance the reconstruction of spatial transcriptomic landscapes by disentangling spatial structure and gene expression semantics. By integrating multimodal inputs with graph‐based representation learning and hyperspherical prototype modeling, S3RL enables high‐fidelity spatial domain ...
Laiyi Fu +6 more
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SupEuclid: Extremely Simple, High Quality OoD Detection with Supervised Contrastive Learning and Euclidean Distance [PDF]
, 2023 Jarrod Haas
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Advanced Science, EarlyView.This study demonstrates that BNNT exposure disrupts lipid homeostasis in bronchial epithelial cell cultures and activates eicosanoid lipid biosynthesis, producing inflammatory lipid mediators like leukotrienes. These effects are more pronounced in asthmatic cell cultures compared to healthy ones.
Govind Gupta +14 more
wiley +1 more source
Multivariate non-parametric Euclidean distance model for hourly disaggregation of daily climate data [PDF]
, 2020 C. Görner +4 more
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Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds
Advanced Science, EarlyView.This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao +15 more
wiley +1 more source
Solid Harmonic Wavelet Bispectrum for Image Analysis
Advanced Science, EarlyView.The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
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Compartmentalized Homeostasis Drives High Bamboo Forest Productivity under Nutrient Imbalance
Advanced Science, EarlyView.This study reveals how Moso bamboo achieves high productivity despite nutrient‐poor soils. It employs a unique strategy, maintaining strict nutrient balance in its leaves while using woody tissues as flexible storage reservoirs. This compartmentalized mechanism buffers the plant from soil phosphorus limitation and microbial competition, resolving the ...
Zhikang Wang +13 more
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Approximate Nearest Neighbor Searching with Non-Euclidean and Weighted Distances [PDF]
, 2019 Ahmed Abdelkader +3 more
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Comparative Single‐Cell Transcriptomic Atlas Reveals the Genetic Regulation of Reproductive Traits
Advanced Science, EarlyView.A cross‐species single‐cell transcriptomic atlas of reproductive and central nervous system tissues from sheep and humans reveals conserved cellular programs and regulatory networks that regulated fertility. Integration with GWAS for sheep lifetime average litter size identifies UNC5–SLIT–BMP signaling as a core pathway coordinating neuroendocrine ...
Bingru Zhao +8 more
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