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Scalable Sampling for Nonsymmetric Determinantal Point Processes

ICLR 2022 · Learning theory and algorithms › Matrix and tensor methods · approach: Low-rank approximation theory · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
impose orthogonality constraints on the NDPP kernelNDPP learning · UK Retail, Recipe, Instacart, Million Song, and BookMPRMixed
add rejection-rate regularization (ablation)ONDPP · UK Retail, Recipe, Instacart, Million Song, and Bookaverage number of rejections: 1.818 ×10^9 -> 26.09; 103.81 -> 21.59; 128.96 -> 79.74; 5.563 ×10^7 -> 45.42; 682.22 -> 61.10Helped
add rejection-rate regularization (ablation)ONDPP · UK RetailMPR: 78.43 ± 0.95 -> 77.12 ± 0.98Hurt
add rejection-rate regularization (ablation)ONDPP · RecipeMPR: 95.40 ± 0.62 -> 95.50 ± 0.59Helped
add rejection-rate regularization (ablation)ONDPP · InstacartMPR: 92.80 ± 0.99 -> 92.99 ± 0.95Helped
add rejection-rate regularization (ablation)ONDPP · Million SongMPR: 93.02 ± 0.83 -> 92.86 ± 0.80Hurt
add rejection-rate regularization (ablation)ONDPP · BookMPR: 75.35 ± 1.83 -> 75.73 ± 1.84Helped
use tree-based rejection sampling instead of Cholesky-based samplingONDPP sampling · UK Retail, Recipe, Instacart, Million Song, and Booksampling speedup: ×2.262; ×8.535; ×12.05; × 37.08; ×246.1Helped
apply low-rank updates in the inner feature space rather than updating the full marginal matrixCholesky-based NDPP sampler · rank-K NDPP kernelsruntime complexity: O(M^3) -> O(MK^2)Helped

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