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Structured Prediction Energy Networks

ICML 2016 · Label-efficient and robust learning › Recognition and long-tail · approach: Loss design and classifier theory · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SPEN energy-based gradient-descent prediction instead of feed-forward MLP/BR/LR/DMFmulti-label classification · Bibtex, Bookmarks, DeliciousF1 (macro): +3.3 vs MLP on Bibtex, +0.6 on Bookmarks, -0.3 on DeliciousMixed
Use the SPEN with the mirror-descent-based inference and SSVM training on Yeast, compared to exact/LP/LBP/DMF inferenceYeast multi-label · Yeast, 10-fold CVHamming error: 20.0 vs EXACT 20.2 and LP 20.5; better than LBP 24.3 and DMF 23No clear effect
Replace MLP-based features with SPEN global energy network (measurement matrix C1 with nonlinear energy)synthetic mutual exclusivity task · 1.5k training examplesF1: 91.5 vs 81.6 for 3-layer MLPHelped
Replace SPEN with a 3-layer MLP on the synthetic task with large training setsynthetic mutual exclusivity task · 15k training examplesF1: 96.7 SPEN vs 96.3 MLPNo clear effect
Use HardTanh instead of ReLU in the global energy network (ablation)SPEN structure learning on synthetic data · synthetic mutual exclusivityinterpretability of measurement matrixHelped
Terminate prediction when 90% of examples in batch converge (vs running to full convergence) (ablation)SPEN test-time prediction · Bibtexspeedup at accuracy: 3-fold speedup at little degradation in accuracyHelped
Add extra entropy term to test-time prediction (soft predictions) for SPENSPEN on Delicious · DeliciousF1 (macro)Helped
Initialize SPEN optimization at MLP output (ablation)SPEN test-time prediction · Bibtexiterations to converge: curves shift about 5 iterations to the leftHelped
Use deep mean field with pretrained MLP unary potentials (ablation)DMF baseline · Bibtex/Bookmarks/DeliciousF1 (macro)Helped
Use SPEN with ReLU in global energy network instead of HardTanh (ablation)SPEN structure learning · synthetic mutual exclusivityinterpretability of measurement matrixHurt

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