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Beyond Sparsity: Tree Regularization of Deep Models for Interpretability

AAAI 2018 · Time series › Causal and generative time series · approach: State-space and latent dynamics forecasting · 198 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train with tree regularization rather than L1 or L2 regularizationdeep time-series models · Sepsis, TIMIT, HIV, and signal-and-noise HMMAUC at low average path length: 0.05-0.1 AUC gains on Sepsis and TIMIT; 0.03 and 0.15 on HIV CD4Helped
Increase tree-regularization strength (ablation)GRU (20) · Signal-and-noise HMMAverage Path Length: 28.1850 -> 9.1127Helped
Increase tree-regularization strength (ablation)GRU (20) · Signal-and-noise HMMAUC (Test): 0.94226 -> 0.90555Hurt
Apply strong tree regularization to a GRU-HMM residual (ablation)GRU-HMM (5/15) · Signal-and-noise HMMAverage Path Length: 36.7188 -> 5.231Helped
Apply tree regularization to the GRU residual (ablation)GRU-HMM (5/15) · Signal-and-noise HMMAUC (Test): 0.94857 -> 0.95769Mixed
Add a tree-regularized GRU residual to an HMMHMM · Mechanical ventilation (Sepsis)AUC: path length 28 to reach AUC of 0.88; GRU alone requires path length 60Helped
Increase tree-regularization strength (ablation)GRU (75) · TIMIT stop phonemesAverage Path Length: 66.2801 -> 28.4240Helped
Increase tree-regularization strength (ablation)GRU (75) · TIMIT stop phonemesAUC: 0.9517 -> 0.8998Hurt
Use elastic net instead of L1 or L2 (ablation)GRU · time-series tasksAUC versus average path lengthNo clear effect
Use a 100-hidden-unit surrogate rather than the 25-unit surrogate (ablation)tree-regularization surrogate · surrogate path-length estimationsurrogate accuracyHurt
Augment surrogate training with randomly sampled weight vectors and retrain it periodically (ablation)tree-regularization surrogate · surrogate path-length estimationtracking accuracyHelped
Use an average-path-length tree penalty rather than L1 or L2 penaltiesMLP classifier · 2D ParabolaAUC at path lengths between 0 and 5Helped

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