The Lie algebra method with projection and Newton correction aligns vectors exactly for noiseless data and near-optimally for noisy data across classical matrix Lie groups, with formal Lean proofs.
Kabsch, A solution for the best rotation to relate two sets of vectors, Acta Crystallogr
7 Pith papers cite this work. Polarity classification is still indexing.
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2026 7representative citing papers
A method called the degeneracy distillery uses symbolic transformations to flatten the Fisher information matrix globally from simulations alone, identifying independent parameter combinations and reducing neural posterior estimation simulation budgets by up to 10x.
A monolithic fiber-integrated tunable SPDC source using 3R-MoS2 produces two Bell states and co-polarized pairs with CAR of (8.3±1.8)×10^3, the highest reported for van der Waals materials.
MB-Loc projects LiDAR point clouds into multi-planar BEV images, applies 2D CNNs with a KL-regularized latent bottleneck and 3D augmentations, and reports real-time state-of-the-art localization accuracy on the NCLT dataset.
Drift-React produces full minimum energy pathways for reactions in a single step via SE(3) drifting fields, matching TS accuracy of iterative models with orders-of-magnitude speedup on Transition1x and Halo8 datasets.
Task-aligned supervised geometric stability predicts linear steerability with high accuracy while unsupervised stability detects representational drift earlier and with lower false alarms than CKA or Procrustes.
A 3D mechano-geometric multicellular model integrates cell mechanics, irreversible wall growth, and deformable geometry to simulate apical stem-cell-driven plant morphogenesis.
citing papers explorer
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The Degeneracy Distillery
A method called the degeneracy distillery uses symbolic transformations to flatten the Fisher information matrix globally from simulations alone, identifying independent parameter combinations and reducing neural posterior estimation simulation budgets by up to 10x.
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Demonstration of a Monolithic and Fully Telecom-Fiber-Compatible Tunable Source of Polarization Entangled Photon Pairs Based on a van der Waals Material
A monolithic fiber-integrated tunable SPDC source using 3R-MoS2 produces two Bell states and co-polarized pairs with CAR of (8.3±1.8)×10^3, the highest reported for van der Waals materials.
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MB-Loc: Multi-planar Bird's-eye-view Localization in outdoor LiDAR scenes
MB-Loc projects LiDAR point clouds into multi-planar BEV images, applies 2D CNNs with a KL-regularized latent bottleneck and 3D augmentations, and reports real-time state-of-the-art localization accuracy on the NCLT dataset.
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Drift-React: One-step Generation of Reaction Pathways via SE(3) Drifting Fields
Drift-React produces full minimum energy pathways for reactions in a single step via SE(3) drifting fields, matching TS accuracy of iterative models with orders-of-magnitude speedup on Transition1x and Halo8 datasets.
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The Geometric Canary: Predicting Steerability and Detecting Drift via Representational Stability
Task-aligned supervised geometric stability predicts linear steerability with high accuracy while unsupervised stability detects representational drift earlier and with lower false alarms than CKA or Procrustes.
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3D mechano-geometric multicellular model of apical stem cell-driven plant morphogenesis
A 3D mechano-geometric multicellular model integrates cell mechanics, irreversible wall growth, and deformable geometry to simulate apical stem-cell-driven plant morphogenesis.