Puzzle Game: Prediction and Classification of Wordle Solution Words

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Autori principali: Xin, Haidong, Wu, Fang, Zhou, Zhitong
Natura: Preprint
Pubblicazione: 2024
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author Xin, Haidong
Wu, Fang
Zhou, Zhitong
author_facet Xin, Haidong
Wu, Fang
Zhou, Zhitong
contents We study the prediction and classification of Wordle solution words. After cleaning the public results log, we fit an ARIMA model to forecast the daily volume of reported outcomes through March 1, 2023. For each solution word, we compute three interpretable attributes: usage frequency (FREQ), word information entropy (WIE), and the number of repeated letters (NRE), and analyze their correlations with the empirical attempt distribution (1-6 attempts plus failure, coded as 7). We then train an XGBoost regressor to predict the full 1-7 outcome distribution for unseen words; a case study of "EERIE" illustrates the model's behavior. To categorize difficulty, we cluster words into three tiers (simple, moderate, difficult) via K-means and train a decision-tree classifier that maps FREQ, WIE, and NRE to these tiers, yielding interpretable rules. For each word, we also report the share of players requiring three or more attempts. Sensitivity analyses and full modeling details are provided in the appendix.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19433
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Puzzle Game: Prediction and Classification of Wordle Solution Words
Xin, Haidong
Wu, Fang
Zhou, Zhitong
Numerical Analysis
We study the prediction and classification of Wordle solution words. After cleaning the public results log, we fit an ARIMA model to forecast the daily volume of reported outcomes through March 1, 2023. For each solution word, we compute three interpretable attributes: usage frequency (FREQ), word information entropy (WIE), and the number of repeated letters (NRE), and analyze their correlations with the empirical attempt distribution (1-6 attempts plus failure, coded as 7). We then train an XGBoost regressor to predict the full 1-7 outcome distribution for unseen words; a case study of "EERIE" illustrates the model's behavior. To categorize difficulty, we cluster words into three tiers (simple, moderate, difficult) via K-means and train a decision-tree classifier that maps FREQ, WIE, and NRE to these tiers, yielding interpretable rules. For each word, we also report the share of players requiring three or more attempts. Sensitivity analyses and full modeling details are provided in the appendix.
title Puzzle Game: Prediction and Classification of Wordle Solution Words
topic Numerical Analysis
url https://arxiv.org/abs/2403.19433