Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Proposes sBDCA with preconditioning for the LTS estimator, claiming up to 3.25 times faster runtime and up to 90% lower objective values than Fast-LTS on synthetic and real data.
citing papers explorer
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Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices
Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.
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Faster than Fast-LTS: Robust Regression and Outlier Detection with DC Programming
Proposes sBDCA with preconditioning for the LTS estimator, claiming up to 3.25 times faster runtime and up to 90% lower objective values than Fast-LTS on synthetic and real data.