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08/29/2023
Limited memory gradient methods for unconstrained optimization
The limited memory steepest descent method (Fletcher, 2012) for unconstr...
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01/23/2023
On the Convergence of the Gradient Descent Method with Stochastic Fixed-point Rounding Errors under the Polyak-Lojasiewicz Inequality
When training neural networks with low-precision computation, rounding e...
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12/04/2022
On the solution of rectangular multiparameter eigenvalue problems
Standard multiparameter eigenvalue problems (MEPs) are systems of k≥ 2 l...
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11/15/2022
On the trace ratio method and Fisher's discriminant analysis for robust multigroup classification
We compare two different linear dimensionality reduction strategies for ...
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08/03/2022
Block Discrete Empirical Interpolation Methods
We present two block variants of the discrete empirical interpolation me...
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08/02/2022
Solving singular generalized eigenvalue problems. Part II: projection and augmentation
Generalized eigenvalue problems involving a singular pencil may be very ...
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06/27/2022
A homogeneous Rayleigh quotient with applications in gradient methods
Given an approximate eigenvector, its (standard) Rayleigh quotient and h...
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04/05/2022
RSVD-CUR Decomposition for Matrix Triplets
We propose a restricted SVD based CUR (RSVD-CUR) decomposition for matri...
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02/21/2022
A harmonic framework for stepsize selectionin gradient methods
We study the use of inverse harmonic Rayleigh quotients with target for ...
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01/18/2022
A hybrid DEIM and leverage scores based method for CUR index selection
The discrete empirical interpolation method (DEIM) may be used as an ind...
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07/07/2021
A Generalized CUR decomposition for matrix pairs
We propose a generalized CUR (GCUR) decomposition for matrix pairs (A, B...
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06/18/2019