Convergence analysis of a family of Zermelo-type iterations for the Bradley--Terry model

arXiv:2607.22221 · stat.ML, cs.LG, math.NA, stat.CO · Submitted 2026-07-24 · Read on arXiv

Ruijian Han, Ding Lu, Yiming Xu

stat.ML, cs.LG, math.NA, stat.CO

Submitted: 2026-07-24

Comments: 46 pages

Code: https://github.com/Yiminithere/newman-algorithm-for-BT

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Consistency — 10× in this paper · explained in 3 episodes
• Monotonicity — 9× in this paper · explained in 2 episodes
• Pairwise Comparisons — 7× in this paper · explained in 2 episodes
• Fixed Point — 5× in this paper · explained in 2 episodes
• Bradley-Terry model — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Reinforcement Learning — 2× in this paper · explained in 4 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Association of Tennis Professionals — 1× in this paper
• Deep Reinforcement Learning — 1× in this paper · explained in 3 episodes
• Kullback–Leibler Divergence — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Uncertainty Quantification — 1× in this paper · explained in 9 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Recent advances in the Bradley--Terry Model: theory, algorithms, and applications
• The many routes to the ubiquitous Bradley-Terry model

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