Challenge: Existing memory-efficient methods require second-moment estimates of the per-parameter gradients to maintain their performance.
Approach: They propose to use memory-efficient optimizers to reduce memory usage by preserving second-moment estimates of gradients.
Outcome: The proposed method achieves fast convergence and lower memory usage across training tasks.

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AdaLomo: Low-memory Optimization with Adaptive Learning Rate (2024.findings-acl)

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Challenge: Large language models require substantial memory for training, thereby setting a high hardware threshold.
Approach: They propose a low-memory optimization technique that reduces memory footprint . they propose an adaptive learning rate for each parameter and a grouped update normalization to stabilize convergence .
Outcome: The proposed low-memory optimization performs better than the prevailing algorithm for large language models, AdamW.
AdamS: Momentum Itself Can Be A Normalizer for LLM Pretraining and Post-training (2025.emnlp-main)

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Challenge: Empirically, AdamS demonstrates strong performance in various tasks . et al., 2023b): AdamS is efficient, efficient, and model-agnostic.
Approach: They propose a model-agnostic alternative to Adam for large language model pretraining and post-training.
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AdapLeR: Speeding up Inference by Adaptive Length Reduction (2022.acl-long)

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Challenge: Pre-trained language models have shown stellar performance in downstream tasks, but their excessive computational costs and high latency hinder their usage in resource-limited settings.
Approach: They propose a method that dynamically eliminates less contributing tokens through layers, resulting in shorter lengths and consequently lower computational cost.
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Flashback: Memory Mechanism for Enhancing Memory Efficiency and Speed in Deep Sequential Models (2025.coling-main)

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Challenge: Existing deep sequential processing models have problems with memory degradation and inaccurate gradient backpropagation.
Approach: They propose a Flashback property that preserves memory as an identity mapping until it is overwritten by a hidden state at a different time step.
Outcome: The proposed model can be implemented in Transformers and Mamba, and it performs well.
SAGE: Sign-Adaptive Gradient for Memory-Efficient LLM Optimization (2026.findings-acl)

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Challenge: Existing methods to train LLMs consume memory equivalent to twice the model size, resulting in a hybrid design that reverts to AdamW and negates the memory gains.
Approach: They propose a new, memory-efficient O(d) adaptive scale that replaces AdamW in a hybrid structure that combines a Lion-style update direction with a memory-saving adaptive scale.
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Guided by Gut: Efficient Test-Time Scaling with Reinforced Intrinsic Confidence (2026.acl-long)

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Challenge: Guided by Gut (GG) is an efficient self-guided TTS framework for Large Language Models (LLMs) that performs step-by-step reasoning at a low cost without any reward models or verifiers.
Approach: They propose a self-guided TTS framework that enables LLMs to perform step-by-step reasoning at a low cost without any reward models or verifiers.
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Learning What to Remember: Adaptive Probabilistic Memory Retention for Memory-Efficient Language Models (2025.findings-emnlp)

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Challenge: Adaptive Retention is a probabilistic, layer-wise token selection mechanism that learns which representations to keep under a strict global budget M.
Approach: They propose a probabilistic token selection mechanism that learns which representations to keep under a strict global budget M.
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STEP: Staged Parameter-Efficient Pre-training for Large Language Models (2024.acl-srw)

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Challenge: Existing methods for reducing computational costs during pre-training have been studied, but they often degrade performance under fair conditions.
Approach: They propose a method that combines parameter-efficient tuning and staged training to reduce memory requirements while maintaining comparable performance.
Outcome: The proposed method reduces memory requirements by 40.4% while maintaining comparable performance.
Towards Robust Pruning: An Adaptive Knowledge-Retention Pruning Strategy for Language Models (2023.emnlp-main)

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Challenge: Existing pruning strategies struggle to enhance robustness against adversarial attacks when continually increasing model sparsity and require a retraining process.
Approach: They propose a pruning strategy that replicates embedding space and feature space of dense language models and aims to conserve more pre-trained knowledge during the pruning process.
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Consistent Accelerated Inference via Confident Adaptive Transformers (2021.emnlp-main)

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Challenge: Amortized or approximate computational methods increase efficiency, but can result in unpredictable performance costs.
Approach: They propose a method that increases computational efficiency while guaranteeing a specifiable degree of consistency with the original model with high confidence.
Outcome: The proposed method improves on four classification and regression tasks and can be used to predict the performance of the proposed model.

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