Neural networks parameterize finite-rank generators for ODEs on the orthogonal Lie group, allowing optimization of orthonormal bases in function space with a universality result that rank-2 generators suffice for density.
SIAM, 2000
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 5representative citing papers
Exact exponential ill-conditioning rate resolved for contiguous DFT submatrices, giving tight bound 2G/π for Vandermonde matrices with distinct points.
Viscosity stratification destabilizes the surface mode of a falling film in the zero-inertia Stokes limit within a finite window of Péclet numbers via a vorticity-phase mechanism.
Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
In a holographic Einstein-Maxwell model, anomaly-induced transport extends to the non-anomalous sector and depends on the explicit symmetry-breaking mass parameter.
citing papers explorer
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Learning Orthonormal Bases for Function Spaces
Neural networks parameterize finite-rank generators for ODEs on the orthogonal Lie group, allowing optimization of orthonormal bases in function space with a universality result that rank-2 generators suffice for density.
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On the exponential rate of the condition number of Fourier submatrices and Vandermonde matrices
Exact exponential ill-conditioning rate resolved for contiguous DFT submatrices, giving tight bound 2G/π for Vandermonde matrices with distinct points.
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Evidence of an inertialess Kapitza instability due to viscosity stratification
Viscosity stratification destabilizes the surface mode of a falling film in the zero-inertia Stokes limit within a finite window of Péclet numbers via a vorticity-phase mechanism.
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Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics
Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
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Anomalous Transport and Explicit Symmetry Breaking in Holography
In a holographic Einstein-Maxwell model, anomaly-induced transport extends to the non-anomalous sector and depends on the explicit symmetry-breaking mass parameter.