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Graphical Models in Heavy-Tailed Markets

NeurIPS 2021 · Graph learning › Graph algorithms and clustering · approach: Continuous DAG structure learning · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace Gaussian (NGL) with Student-t likelihoodLaplacian graph learning · S&P500 connectedmodularity: 0.49 -> 0.54Helped
replace Gaussian (NGL) with Student-t likelihoodLaplacian graph learning · S&P500 COVID periodmodularity: 0.46 -> 0.56Helped
replace Gaussian (NGL) with Student-t likelihoodLaplacian graph learning · Currencies connectedmodularity: 0.46 -> 0.58Helped
replace Gaussian (NGL) with Student-t likelihoodLaplacian graph learning · Cryptocurrencies connectedmodularity: 0.40 -> 0.52Helped
replace Gaussian CLR with Student-t k-component formulationk-component graph learning · S&P500 3-componentmodularity: 0.33 -> 0.56Helped
replace Gaussian CLR with Student-t k-component formulationk-component graph learning · Currencies 9-componentmodularity: 0.79 -> 0.84Helped
replace Gaussian CLR with Student-t k-component formulationk-component graph learning · Cryptocurrencies 7-componentmodularity: 0.66 -> 0.79Helped
add degree constraint d_w = d (avoid isolated nodes) (ablation)k-component Student-t · Currencies and cryptomodularity: 0.62 -> 0.84Helped
initialize with uniform fully connected graph instead of default initialization (ablation)Algorithm 2 · S&P500, currencies, cryptomodularity: 0.56 -> 0.56; 0.84 -> 0.80; 0.79 -> 0.78No clear effect

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