State space models are sequence models that maintain a hidden state evolving over time according to linear dynamics, used as an alternative to attention for long sequences. Recent deep learning variants make the dynamics input-dependent to capture context.

Semantic Classification

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  • State space models describe a sequence through a continuous or discrete hidden state that updates with each input, offering an efficient way to model long-range dependencies. Deep learning variants such as the structured and selective designs scale linearly with sequence length, in contrast to the quadratic cost of full attention.
  • These models combine properties of recurrent networks with parallel training, and have been proposed as competitive backbones for language and other long-sequence tasks. They are an active alternative to transformer attention for handling very long inputs.

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