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Research map / Learning theory and algorithms / Prediction and decision losses

Simultaneous Inference for Massive Data: Distributed Bootstrap

ICML 2020 · Learning theory and algorithms › Prediction and decision losses · approach: Determinantal point process inference · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use n+k-1-grad instead of k-grad (ablation)Distributed bootstrap · Simultaneous confidence intervals, linear and logistic regressionaverage width relative to oracle widthHelped
Use k-grad with only k worker-level multipliers (ablation)Distributed bootstrap · Simultaneous confidence intervals when k is smallcoverageHurt
Use n+k-1-grad, assigning separate multipliers to master-node data (ablation)Distributed bootstrap · Simultaneous confidence intervals when k is smallcoverageHelped
Increase the number of communication rounds (ablation)k-grad and n+k-1-grad · Simultaneous confidence intervals, including k≥ncoverageHelped
Increase the number of machines, reducing local sample size (ablation)k-grad and n+k-1-grad · Simultaneous confidence intervalscoverageHurt
Increase model dimension (ablation)k-grad and n+k-1-grad · Simultaneous confidence intervalscoverageHurt
Use n+k-1-grad rather than BLB (ablation)Distributed bootstrap · Logistic regression, large kaverage width relative to oracle widthHelped
Increase the number of machines (ablation)k-grad and n+k-1-grad · Linear regression, Toeplitz design, d=2^3; runtimeruntime (seconds): 0.29 -> 0.30No clear effect
Increase the number of machines (ablation)BLB · Linear regression, Toeplitz design, d=2^3; runtimeruntime (seconds): 22.66 -> 159.88Hurt
Increase the number of machines (ablation)SDB · Linear regression, Toeplitz design, d=2^3; runtimeruntime (seconds): 0.08 -> 5.39Hurt
Increase the number of machines (ablation)BLB · Linear regression, Toeplitz design, d=2^7; runtimeruntime (seconds): 981.17 -> 1950.91Mixed
Increase the number of machines (ablation)SDB · Linear regression, Toeplitz design, d=2^7; runtimeruntime (seconds): 3.44 -> 12.66Hurt

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