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arxiv: 2209.13569 · v1 · pith:LGEPWDFE · submitted 2022-09-27 · cs.LG · stat.ML

Exploring Low Rank Training of Deep Neural Networks

Reviewed by Pithpith:LGEPWDFEopen to challenge →

classification cs.LG stat.ML
keywords trainingranknetworksdeepneuralpracticeworkablations
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Training deep neural networks in low rank, i.e. with factorised layers, is of particular interest to the community: it offers efficiency over unfactorised training in terms of both memory consumption and training time. Prior work has focused on low rank approximations of pre-trained networks and training in low rank space with additional objectives, offering various ad hoc explanations for chosen practice. We analyse techniques that work well in practice, and through extensive ablations on models such as GPT2 we provide evidence falsifying common beliefs in the field, hinting in the process at exciting research opportunities that still need answering.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection

    cs.LG 2024-03 conditional novelty 7.0

    GaLore performs full-parameter LLM training with up to 65.5% less optimizer memory by projecting gradients onto a low-rank subspace at each step, matching full-rank performance on LLaMA pre-training and RoBERTa fine-tuning.

  2. Dr. Post-Training: A Data Regularization Perspective on LLM Post-Training

    cs.LG 2026-05 unverdicted novelty 6.0

    Dr. Post-Training reframes general data as a data-induced regularizer for LLM post-training updates, yielding a family of methods that outperform data-selection baselines on SFT, RLHF, and RLVR tasks.

  3. BOOST: BOttleneck-Optimized Scalable Training Framework for Low-Rank Large Language Models

    cs.LG 2025-12 unverdicted novelty 6.0

    BOOST delivers 1.46-2.27x end-to-end speedups for low-rank bottleneck LLMs by redesigning tensor parallelism around the bottleneck structure plus supporting optimizations.

  4. CR-Net: Scaling Parameter-Efficient Training with Cross-Layer Low-Rank Structure

    cs.LG 2025-09 unverdicted novelty 6.0

    CR-Net uses cross-layer low-rank residuals in a dual-path network plus specialized recomputation to outperform prior low-rank methods on 60M-7B model pre-training while using less compute and memory.

  5. DLR: Zero-Inference-Cost Latent Residuals for Low-Rank Pre-Training

    cs.LG 2026-06 unverdicted novelty 5.0

    DLR augments low-rank factorization with a fixed structured residual during training that is absorbed post-training, improving C4 perplexity for LLaMA models from 60M to 7B while preserving exact low-rank inference cost.