Bernstein Concentration Inequalities for Tensors via Einstein Products
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🧮 math.ST
cs.NAmath.NAmath.OCstat.TH
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tensorsbernsteinconcentrationeinsteingeneralizationproductsallowingestablished
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A generalization of the Bernstein matrix concentration inequality to random tensors of general order is proposed. This generalization is based on the use of Einstein products between tensors, from which a strong link can be established between matrices and tensors, in turn allowing exploitation of existing results for the former.
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