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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

Random Feature Expansions for Deep Gaussian Processes

ICML 2017 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Infinite-width networks as Gaussian processes · 75 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RBF rather than arc-cosine covarianceRandom-feature DGP · Airlineaccuracy: 78.55% vs 72.76%Helped
Use RBF rather than arc-cosine covarianceRandom-feature DGP · AirlineMNLL: 0.4583 vs 0.5335Helped
Reintroduce original inputs in the hidden layer (ablation)DGP-RBF · MNISTaccuracy: 98.04% -> 98.2%Helped
Increase depth from two layers to 10 or 20 layers, feeding original inputs to each hidden layer (ablation)DGP-RBF · Airlineerror rateHelped
Use variational spectral frequencies with fixed randomness rather than prior-fixed or resampled frequencies (ablation)Random-feature DGP · EEG and UCI datasetsaccuracyHelped
Resample variational spectral-frequency randomness at each iteration (ablation)Random-feature DGP · EEGaccuracyHurt
Use arc-cosine covariance with variational frequencies and fixed randomness on higher-dimensional data (ablation)DGP-arc · Spam and MNISTgeneralizationHurt
Increase the number of random features (ablation)Random-feature DGP · EEGgeneralizationMixed
Use more than two hidden layers without feeding original inputs forward (ablation)DGP-RBF · MNISTaccuracyHurt

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