Change the Product, Keep the Parameters: Associative Algebra Layers for Transformers

arXiv:2609.32814 · cs.LG, cs.PF · Submitted 2026-09-26 · Read on arXiv

cs.LG, cs.PF

Submitted: 2026-09-26

Updated: 2026-09-26

Terminology

• Transformer — 20× in this paper · explained in 2 episodes
• Decode — 7× in this paper · explained in 2 episodes
• Aggregation — 5× in this paper · explained in 1 episode
• Benchmark — 5× in this paper · explained in 2 episodes
• Calibration — 4× in this paper · explained in 7 episodes
• KV cache — 4× in this paper · explained in 3 episodes
• Embeddings — 3× in this paper · explained in 2 episodes
• Graph Construction — 3× in this paper · explained in 3 episodes
• Tokenization — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Hamming Distance — 2× in this paper · explained in 2 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Downstream Tasks — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Reinforcement Learning — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes
• Verifier — 1× in this paper · explained in 2 episodes

Sources

• Program Synthesis with Large Language Models
• Training Verifiers to Solve Math Word Problems
• DeepSeek-V3 Technical Report
• AlgebraNets
• Qwen3 Technical Report
• Instruction-Following Evaluation for Large Language Models
• Scalable MatMul-free Language Modeling

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