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Nonparametric Embeddings of Sparse High-Order Interaction Events

ICML 2022 · Probabilistic and scientific modeling › Molecules and proteins · approach: Sparse graphical and tensor models · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add sparse hypergraph prior (NESH) over matrix GP without it (MGP-EF) (ablation)NESH · Taobao, Crash, Retailtest log-likelihoodHelped
Use stick-breaking/log-sociability embeddings with batch normalizationNESH · Taobao, Crash, Retaillearning stabilityNo clear effect
Replace Poisson tensor factorization (CP-PTF) with nonparametric matrix GP modeling of rates (MGP-EF)Poisson factorization baseline · Taobao, Crash, Retailtest log-likelihoodHelped
Use nonparametric MGP rate modeling instead of parametric CP-NPTF rateMGP-EF · Taobao, Crash, Retailtest log-likelihoodHelped
Use Hawkes process local/triggering dynamics (HP-Local, HP-TF) instead of MGP-EFMGP-EF · Taobao, Crash, Retailtest log-likelihoodMixed
Use GP-PTF / HP-Local / HP-TF with no batch normalizationGP-PTF, HP-Local, HP-TF · Retailstability across splitsHurt
Sparsity ratio bounds derived for sparse hypergraph processsparse hypergraph process (K=3) · simulated hypergraphs, alpha in [2,20]sparsity ratio N/prod D_kNo clear effect

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