Stability Selection via Bootstrapped Regularized Logistic Regression

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In Simple Words

Imagine selecting the best players for a sports team by running hundreds of mini-scrimmages with randomly picked sub-groups of athletes; players who consistently perform well across almost every random match-up are the true star performers.

Messages classified by business content

High business content
Product, market, customer
Low business content
Hello, token, thanks

Examples from the study’s repeated text classifications. These are associations in messages, not proof that choosing these words improves a business plan.

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Research question

High-dimensional text corpora contain thousands of sparse words, making standard regression models prone to overfitting when isolating key linguistic features.

Participants

N = 140,000+ messages written by 4,958 entrepreneurs across 49 African countries.

Study Design

Bootstrapped fitting of 200 to 1,000 $l_1$-penalized LASSO logistic regressions on random sub-samples drawn with replacement, selecting words with non-zero coefficients in >50% of iterations.

Results

High business content is reliably flagged by terms like product, project, business, market, idea, need, customer, service, plan, and cost, whereas low business content is flagged by hello, hi, token, leaderboard, status, and thanks.

Takeaway

Apply stability selection with $l_1$ LASSO penalization across repeated random bootstrap sub-samples to identify stable text regressors in high-dimensional communication data.

Source and citation

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