A convergent GMRF approximation to Whittle-Matern fields on boundaryless Riemannian manifolds using DEC on well-centered simplicial complexes that is agnostic to alpha and kappa.
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
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Models graph evolution via low-rank updates on adjacency matrix differences and alternates linear signal interpolation with proximal gradient descent using fast OMP approximation for improved spatial-temporal interpolation.
A new subspace algorithm using LOBPCG-style subspaces detects definiteness of large Hermitian matrix pairs (A,B) with indefinite B faster than prior methods on medium, large, and banded cases.
A generalized zeroth-order method samples random directions on the sphere to optimize quotients of quadratics, estimates Riemannian derivatives with surrogates, and yields an accelerated algorithm outperforming prior work.
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Approximating Gaussian Whittle-Matern Fields over Well-Centered Triangulations of Riemannian Manifolds
A convergent GMRF approximation to Whittle-Matern fields on boundaryless Riemannian manifolds using DEC on well-centered simplicial complexes that is agnostic to alpha and kappa.
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Low-rank Updates in Slowly Time-varying Graphs for Spatial-Temporal Signal Interpolation
Models graph evolution via low-rank updates on adjacency matrix differences and alternates linear signal interpolation with proximal gradient descent using fast OMP approximation for improved spatial-temporal interpolation.
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An indefinite LOBPCG type of algorithm for detecting a definite Hermitian matrix pair
A new subspace algorithm using LOBPCG-style subspaces detects definiteness of large Hermitian matrix pairs (A,B) with indefinite B faster than prior methods on medium, large, and banded cases.
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Generalization of Zeroth-Order Method for Quotients of Quadratic Functions
A generalized zeroth-order method samples random directions on the sphere to optimize quotients of quadratics, estimates Riemannian derivatives with surrogates, and yields an accelerated algorithm outperforming prior work.