1 Introduction
2 Basics of State Space Models
2.1 Spring-Mass-Damper System
2.2 State Space Models
3 Recent Advances in State Space Models
3.1 Structured State Space Models
3.2 Gated SSMs
3.3 Recurrent SSMs
3.4 Miscellaneous SSMs
4 Applications of State Space Models
4.1 Language Domain
4.2 Vision Domain
4.3 Medical Domains
4.4 Video Domain
4.5 Tabular Domain
4.6 Audio and Speech Domain
4.7 Time Series Domain
4.8 Recommendation Systems
4.9 Graph Domain
4.10 Multimodal Systems
4.11 Reinforcement Learning
5 State of the Art Results
5.1 Dataset Details
5.2 Results
6 Conclusions