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Research map / Learning theory and algorithms / Matrix and tensor methods

Tensor Belief Propagation

ICML 2017 · Learning theory and algorithms › Matrix and tensor methods · approach: Tensor network decompositions · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase sample size K for multiplication in TBPTBP on 10x10 Ising grids · Ising grid 10x10 (attractive and mixed)mean L1 marginal errorHelped
add max-norm or min-variance reweighting of rank-1 terms after sampling (ablation)TBP multiplication step · Ising grid 10x10mean L1 marginal errorHelped
use TBP instead of Gibbs sampling at matched wall-clock timeUAI Linkage and Promedus · UAI 2014 Linkage, Promedusmean L1 marginal errorHelped
increase number of mixture components r from 2 to 4 (ablation)TBP on UAI Linkage · UAI Linkagemean L1 marginal errorNo clear effect
increase number of mixture components r from 2 to 4 (ablation)TBP on UAI Promedus · UAI Promedusmean L1 marginal errorHelped
TBP on attractive random pairwise MRFs with 30 nodes vs 15 nodesTBP on random pairwise MRFs · random pairwise MRFs, attractive interactionsmean L1 marginal errorMixed
use TBP instead of loopy BP, mean-field, TRW on attractive Ising and random MRFsTBP on Ising grids and random MRFs · Ising grid and random pairwise MRFs, attractivemean L1 marginal errorHelped

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