mlsanityData to 14 Oct 2026

p-Spin Glass Network Efficient Single-Batch Continual Learning

arXiv 2608.14774 ↗First posted 14 Aug 2026cs.LGcited by 0

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Abstract (arXiv)

Modern sequence models heavily rely on massive memory footprints and large-batch stochastic optimization, barriers that restrict sample efficiency and continual learning. We introduce the p-Spin Glass Network, a novel architecture that overcomes these limitations, structurally manages optimization variance and yields four noticeable capabilities: 1. It enforces memory efficiency: native ternary quantization compresses internal parameters by 8×, while exact implicit gradients strictly bound activation memory to O(B · T · D). 2. it demonstrates sample efficiency, matching the asymptotic performance of a Transformer baseline while utilizing 8× fewer training sequences. 3. Method enables single-batch stability and smooth, monotonic convergence at a stochastic micro-batch size of 1. 4. Finally, this stability proves modality-agnostic, maintaining robust temporal credit assignment across both discrete subword and long horizon uncompressed raw byte streams. Ultimately, this work removes large batch requirement for stable deep learning, establishing a foundation for continuous learning and edge AI.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 13 of its 21 references that are in the map. First posted on arXiv 14 Aug 2026.

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13 of 21 references.

References · 13

  1. 2017Attention Is All You Needcited by 60,361
  2. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,718
  3. 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,673
  4. 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
  5. 2018Continual Lifelong Learning with Neural Networks: A Reviewcited by 1,330
  6. 2019Deep Equilibrium Modelscited by 615
  7. 2021ByT5: Towards a token-free future with pre-trained byte-to-byte modelscited by 509
  8. 2020Hopfield Networks is All You Needcited by 475
  9. 2024The Era of 1-bit LLMs: All Large Language Models are in 1.58 Bitscited by 308
  10. 2014The Loss Surfaces of Multilayer Networkscited by 280
  11. 2023MEGABYTE: Predicting Million-byte Sequences with Multiscale Transformerscited by 170
  12. 2019Implicit Deep Learningcited by 124
1 more
  1. 2026HoloByte: Continuous Hyperspherical Distillation for Tokenizer-Free Modelingcited by 1

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  1. 2024TinySubNets: An efficient and low capacity continual learning strategy
  2. 2025Pushing the Limits of Low-Bit Optimizers: A Focus on EMA Dynamics
  3. 2026Phasor Memory Networks: Stable Backpropagation Through Time for Scalable Explicit Memory
  4. 2025Stochastic Engrams for Efficient Continual Learning
  5. 2026Beyond Dense Adam States: Adaptive Log-Space Quantization for Memory-Efficient Optimizers
  6. 2022In-memory Realization of In-situ Few-shot Continual Learning with a Dynamically Evolving Explicit Memory
  7. 2024SpinQuant: LLM quantization with learned rotations
  8. 2021BatchQuant: Quantized-for-all Architecture Search with Robust Quantizer