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P. Drineas

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#machine learning Preprint Oct 2026

Ori: Drift-Aware Streaming $k$-PCA for Very Low-Rank LLM Training

A prominent family of low-rank LLM optimizers, pioneered by GaLore, performs gradient-subspace projection: at each step, they project the gradient into a low-dimensional subspace and map the update back to the full model. Most existing work either recomputes the gradient subspace at certain intervals, or performs post-...

Xin-Yu Luo, Jin-Cheng Zhou, Meng-Bo Wang et al. · 0 citations
Preprint Oct 2026

TOMOS: Eliminating Data Duplication in Mixed-Precision Matrix Computations

Mixed-precision algorithms exploit reduced-precision hardware, however computing with the same matrix at distinct precisions typically requires duplicate storage, repeated conversions, or operation-emulation. We introduce TOMOS, a composite-precision matrix format that provides implicit 32-bit and 16-bit access from a...

V. Georgiou, P. Drineas · 0 citations
#artificial intelligence Preprint Oct 2026

MuonIO: Principled Norm-Aware Descent for Embedding Tables and Language Model Heads

The Muon optimizer derives its update rule for hidden linear layers by solving a local linearization of the loss penalized by the spectral norm, motivated by an RMS-stability argument for dense linear layers. Standard Muon implementations, however, exclude the input (embedding table) and output (language model head) la...

Lin-Kai Ma, Xin-Yu Luo, Meng-Bo Wang et al. · 0 citations

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