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Partitioned Tensor Factorizations for Learning Mixed Membership Models

ICML 2017 · Learning theory and algorithms › Matrix and tensor methods · approach: Randomized tensor decomposition algorithms · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Partitioned factorization with PTPQP (factorize O(p/k) sub-tensors of size O(k^3)) versus full tensor decompositionmixed membership model parameter estimation · Crowdsourcing (5 datasets)Incorrectly predicted labels (%)Mixed
Replacing TPM/HALS/NOJD with PTPQP (nonnegative quadratic-programming factorization on partitions)PTPQP · Crowdsourcing WEBIncorrectly predicted labels (%): 14.44 vs 14.70 (TPM), 26.84 (HALS)Helped
Using PTPQP instead of HALS (nonnegative factorization) on simulated GDLM dataPTPQP · Simulated GDLM, RMSERMSEHelped
Using meld instead of PTPQP for small sample sizes and many componentssimulated GDLM · Simulated GDLM, small n, large kRMSEHurt
Increasing number of partitions in PTPQPPTPQP · Simulated GDLM, p=1000, n=1000runtimeHelped

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