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20242026
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cs.LG2026

Dion3: Full-Stack Orthogonal Updates

Noah Amsel, Jack Zhang, Kwangjun Ahn +5

The Muon optimizer incurs a significant overhead cost due to its cubic-time Newton-Schulz orthogonalization step. When weights are sharded, communication overhead compounds this co…

cs.LG2026

When Does Predictive Inverse Dynamics Outperform Behavior Cloning?

Lukas Schäfer, Pallavi Choudhury, Abdelhak Lemkhenter +10

Behavior cloning (BC) is a practical offline imitation learning method, but it often fails when expert demonstrations are limited. Recent works have introduced a class of architect…

cs.LG2026

Next-Latent Prediction Transformers Learn Compact World Models

Jayden Teoh, Manan Tomar, Kwangjun Ahn +7

Transformers replace recurrence with a memory that grows with sequence length and self-attention that enables ad-hoc lookups over past tokens. Consequently, they lack an inherent i…

cs.LG2025

Dion2: A Simple Method to Shrink Matrix in Muon

Kwangjun Ahn, Noah Amsel, John Langford

The Muon optimizer enjoys strong empirical performance and theoretical grounding. However, the super-linear cost of its orthonormalization step introduces increasing overhead with…

cs.LG2025

The Belief State Transformer

Edward S. Hu, Kwangjun Ahn, Qinghua Liu +9

We introduce the "Belief State Transformer", a next-token predictor that takes both a prefix and suffix as inputs, with a novel objective of predicting both the next token for the…

cs.LG2025

Dion: Distributed Orthonormalized Updates

Kwangjun Ahn, Byron Xu, Natalie Abreu +5

Orthonormalized updates accelerate training, improve stability, and enable robust hyperparameter transfer, but existing methods like Muon rely on dense matrix operations that clash…