The EM-algorithm and the Method of Moments in Softmax Mixture Models

arXiv:2409.09903 · stat.ML, cs.LG, math.ST, stat.ME, stat.TH · Submitted 2024-09-16 · Read on arXiv

stat.ML, cs.LG, math.ST, stat.ME, stat.TH

Submitted: 2024-09-16

Updated: 2026-09-08

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

Terminology

• Method of Moments — 10× in this paper
• alpha — 5× in this paper · explained in 1 episode
• Theoretical Guarantees — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Convergence Guarantees — 3× in this paper · explained in 3 episodes
• Ambient Dimension — 2× in this paper · explained in 1 episode
• Fisher Information — 2× in this paper · explained in 3 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes
• Wasserstein Distance — 1× in this paper · explained in 4 episodes

Sources

• Statistical and Computational Guarantees of Lloyd's Algorithm and its Variants
• Learning an arbitrary mixture of two multinomial logits

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