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Summary of High-dimensional Tail Index Regression: with An Application to Text Analyses Of Viral Posts in Social Media, by Yuya Sasaki et al.


High-Dimensional Tail Index Regression: with An Application to Text Analyses of Viral Posts in Social Media

by Yuya Sasaki, Jing Tao, Yulong Wang

First submitted to arxiv on: 2 Mar 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); Econometrics (econ.EM)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
A novel high-dimensional tail index regression model is introduced in this paper, motivated by the empirical observation of power-law distributions in social media post credits. The model is designed to estimate and infer parameters for understanding the underlying dynamics of viral content. A regularized estimator is presented, along with proofs of its consistency, convergence rate, and asymptotic normality. Additionally, a debiasing technique is proposed to facilitate inference. The approach is extended to handle large-scale online streaming data using stochastic gradient descent. Simulation studies validate the theoretical findings. Finally, the methods are applied to the text analysis of viral posts on X (formerly Twitter) related to LGBTQ+ topics.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper looks at how social media posts go viral and why some things become super popular. The researchers created a new way to analyze data from social media platforms like Twitter. They found that when people share interesting or funny content, it spreads quickly because of the way we interact with each other online. The team developed a special tool to help understand this process better. They tested their tool on real data and found it works well. This is important for understanding how ideas spread and why certain topics become popular.

Keywords

* Artificial intelligence  * Inference  * Regression  * Stochastic gradient descent