Authors:
(1) Albert Gu, Machine Learning Department, Carnegie Mellon University with Equal contribution ([email protected]);
(2) Tri Dao, Department of Computer Science, Princeton University with Equal contribution ([email protected]).
Table of Links
3 Selective State Space Models and 3.1 Motivation: Selection as a Means of Compression
3.2 Improving SSMs with Selection
3.3 Efficient Implementation of Selective SSMs
3.4 A Simplifed SSM Architecture
3.5 Properties of Selection Mechanisms
4 Empirical Evaluation and 4.1 Synthetic Tasks
4.4 Audio Modeling and Generation
4.5 Speed and Memory Benchmarks
6 Conclusion, Acknowledgments and References
A Discussion: Selection Mechanism
B Related Work and B.1 S4 Variants and Derivatives
B.4 Linear Attention and B.5 Long Context Models
D Hardware-aware Algorithm For Selective SSMs
E Experimental Details and Additional Results and E.1 Synthetic Tasks
C Mechanics of Selective SSMs
The discretization step size is
where we observe that the parameter can be viewed as a learnable bias and folded into the linear projection. Now applying the zero-order hold (ZOH) discretization formulas:
Thus the final discrete recurrence (2a) is
as desired.
This paper is available on arxiv under CC BY 4.0 DEED license.
