Challenge: State Space Models (SSMs) have emerged as efficient alternatives to Transformers, but their application to SSMs remains unexplored.
Approach: They propose a state-based PEFT method that adjusts state directly instead of using external prompts.
Outcome: The proposed method is based on state-offset tuning, which directly affects state at every timestep.

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On Pruning State-Space LLMs (2025.emnlp-main)

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Challenge: Recent work proposed state-space models as an efficient alternative to transformers.
Approach: They propose to prune state-space models (SSMs) to reduce computation costs by using unstructured pruning methods.
Outcome: The proposed pruning methods show that they can be pruned to reduce their computation costs.
PARA: Parameter-Efficient Fine-tuning with Prompt-Aware Representation Adjustment (2024.emnlp-industry)

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Challenge: Existing methods for parameter-efficient fine-tuning excel in the context of single-backbone multi-tenant applications.
Approach: They propose to integrate a lightweight vector generator within each Transformer layer to improve prompt-aware representation adjustment.
Outcome: The proposed method surpasses current benchmarks in terms of performance despite having a similar number of adjustable parameters.
Preserving Pre-trained Representation Space: On Effectiveness of Prefix-tuning for Large Multi-modal Models (2024.findings-emnlp)

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Challenge: Large multi-modal models (LMMs) are revolutionizing the way machines interact with the world, unlocking new possibilities across multi-dimensional applications.
Approach: They propose a parameter-efficient fine-tuning strategy that combines both . they find that parameter tuning methods distort the feature representation space .
Outcome: The proposed strategy preserves representation space while limiting performance on downstream tasks.
SSMLoRA: Enhancing Low-Rank Adaptation with State Space Model (2025.naacl-long)

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Challenge: Fine-tuning requires substantial computational resources and is prone to overfitting when applied to small datasets.
Approach: They propose a parameter-efficient fine-tuning method that integrates a State Space Model (SSM) to interconnect low-rank matrices.
Outcome: The proposed method achieves comparable performance to LoRA on the general language understanding evaluation (GLUE) benchmark while using only half the parameters.
CodeSSM: Towards State Space Models for Code Understanding (2025.emnlp-main)

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Challenge: Existing transformers have limitations, such as quadratic complexity and high inference costs.
Approach: They propose a state space model that is trained on code corpora to assess its effectiveness.
Outcome: The proposed model reduces memory usage by up to 64% compared to transformers at a context length of 2048.
Birdie: Advancing State Space Language Modeling with Dynamic Mixtures of Training Objectives (2024.emnlp-main)

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Challenge: Efficient state space models struggle with tasks requiring in-context retrieval, such as text copying and associative recall, limiting their usefulness in practical settings.
Approach: They propose a training procedure that improves the performance of SSMs on retrieval-intensive tasks such as phone book lookup, long paragraph question-answering, and infilling tasks.
Outcome: The proposed training procedure improves performance on retrieval-intensive tasks that challenge current SSMs, such as phone book lookup, long paragraph question-answering, and infilling tasks.
Incorporating Exponential Smoothing into MLP: a Simple but Effective Sequence Model (2024.findings-naacl)

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Challenge: Structured State Space models (SSMs) have been used for long-range sequence learning but are limited in their complexity and computational and memory requirements.
Approach: They propose to incorporate a simple SSM into an element-wise MLP to reduce inductive bias.
Outcome: The proposed model achieves comparable results to existing models on the LRA benchmark.
Towards Adaptive Prefix Tuning for Parameter-Efficient Language Model Fine-tuning (2023.acl-short)

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Challenge: Parameter-efficient fine-tuning only optimizes a few task-specific parameters with frozen pre-trained model.
Approach: They propose to optimize a prefix vector inserted into Transformer layers to optimize the prefix . they propose to use a gate mechanism to adjust the prefixed to each layer .
Outcome: The proposed approach improves on the SuperGLUE and NER datasets.
From Bottom to Top: Extending the Potential of Parameter Efficient Fine-Tuning (2024.emnlp-main)

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Challenge: Existing methods to fine-tune large language models primarily focus on the interaction between different layers, ignoring the fact that different layers store different information.
Approach: They propose a Parameter Efficient Fine-Tuning method which freeze pre-trained parameters and fine-tunes only a few task-specific parameters.
Outcome: The proposed methods reduce parameter count to nearly half by omitting fine-tuning in the middle layers.
Memory-Efficient Fine-Tuning of Transformers via Token Selection (2024.emnlp-main)

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Challenge: Existing methods for fine-tuning require caching of intermediate activations to update weights during the backward pass.
Approach: They develop a method to reduce memory usage in fine-tuning of transformers by backpropagating through just a subset of input tokens.
Outcome: The proposed method reduces memory usage and memory footprint on large transformer models . it can be easily combined with existing methods like LoRA, reducing memory cost .

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