Reasoning on the Simplex: Geometric Fixed-Point Models

arXiv:2609.33540 · cs.AI · Submitted 2026-09-27 · Read on arXiv

cs.AI

Submitted: 2026-09-27

Updated: 2026-09-27

Terminology

• Accuracy — 20× in this paper · explained in 1 episode
• Decode — 12× in this paper · explained in 2 episodes
• Transformer — 10× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Embeddings — 3× in this paper · explained in 2 episodes
• Ablation — 2× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Geometric Fixed-Point Reasoning — 2× in this paper
• Structural Constraints — 2× in this paper · explained in 2 episodes
• Chain-of-Thought Prompting — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Latent Reasoning — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Perplexity — 1× in this paper · explained in 3 episodes
• Verifier — 1× in this paper · explained in 2 episodes

Sources

• Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge
• Adaptive Computation Time for Recurrent Neural Networks
• Sparse Sequence-to-Sequence Models

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