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Online and Differentially-Private Tensor Decomposition

NeurIPS 2016 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use random initialization on sphere with improved noise analysis (noise tolerance ||Delta||_op = O(lambda_min/sqrt(d)) for round noise) instead of O(lambda_min/d)Robust tensor power method · Theory (round noise)noise toleranceHelped
Streaming (online) tensor power method with data-association updates instead of forming the full tensorRobust tensor power method · Theory (streaming, sub-Gaussian noise)memory and sample complexityHelped
Noise calibration (Gaussian noise added at every power iteration) for differential privacyRobust tensor power method · Theory (DP, incoherent basis)privacy parameter epsilon requirementHelped
Input perturbation (adding Gaussian tensor before power iterations) for differential privacy instead of per-iteration noise calibrationRobust tensor power method · Theory (DP)required privacy parameter epsilonHurt
Whitening via marginalizing one view with random theta and matrix SVD instead of the improved tensor power analysisTensor decomposition baseline · Theory (whitening comparison)noise tolerance boundHurt

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