SIGNALAI·Jun 26, 2026, 4:00 AMSignal75Short term

SSM Adapters via Hankel Reduced-order Modeling: Injection Site Determines Task Suitability in Long-Context Fine-Tuning

Source: arXiv cs.LG

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SSM Adapters via Hankel Reduced-order Modeling: Injection Site Determines Task Suitability in Long-Context Fine-Tuning

arXiv:2606.26290v1 Announce Type: new Abstract: While parameter-efficient fine-tuning (PEFT) typically targets attention projectors, its efficacy for tasks requiring sequential state accumulation remains under-explored. We examine if PEFT for such tasks can benefit from state space model (SSMs) adapters, and if MLP blocks are better injection sites. We introduce Hankel Reduced order Model (HRM) adapter, an SSM-based residual module initialized via Balanced Truncation of empirical Hankel Grammians. By leveraging the time-invariance of the system matrix $\bar{A}$, HRM enables an exact FFT-based

Why this matters
Why now

The continuous push for more efficient and performant AI models, especially in long-context scenarios, drives innovation in fine-tuning techniques like SSM adapters.

Why it’s important

Advanced PEFT methods utilizing SSMs could significantly enhance the capability and efficiency of large language models for complex, sequential tasks, reducing compute requirements for frontier AI development.

What changes

The exploration of SSM-based adapters and their optimal injection sites shifts the focus of PEFT research beyond traditional attention mechanisms, potentially enabling new architectural optimizations.

Winners
  • · AI model developers
  • · Cloud AI providers
  • · Researchers in efficient AI
Losers
  • · Inefficient AI fine-tuning methods
  • · Hardware providers unprepared for new architectural demands
Second-order effects
Direct

Improved performance and reduced computational cost for long-context AI applications like scientific research or complex code generation.

Second

Faster iteration cycles and lower barriers to entry for developing and fine-tuning large AI models.

Third

Accelerated deployment of highly specialized AI agents capable of handling extensive, context-rich tasks with greater accuracy and efficiency.

Editorial confidence: 85 / 100 · Structural impact: 60 / 100
Original report

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Read at arXiv cs.LG
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