The Annotated S4
srush.github.io
The Annotated S4
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Re: The Annotated S4
#2Re: The Annotated S4
#3A lot of intimidating math that will make all self-attention tutorials seem like a walk in the park in comparison. Luckily subsequent state space models building on S4 (DSS, S4D and newer ones like Mamba) simplified the primitives and the math used.
Some of concepts are better explained here than anywhere else, and make it straightforward to make sense of Mamba, which is increasingly popular.
Re: The Annotated S4
#4Re: The Annotated S4
#5Section 2 of the blog post is no longer very relevant. A lot of advances (DSS, S4D) simplified that part of the process. Arguably also this all should be updated for Mamba (same authors).
Re: The Annotated S4
#6A lot of intimidating math that will make all self-attention tutorials seem like a walk in the park in comparison. Luckily subsequent state space models building on S4 (DSS, S4D and newer ones like Mamba) simplified the primitives and the math used.
The math is not designed to intimidate but rather approach the "how to build sequence model" in a principled way from state space models, which draws from an arguably longer literature than neural networks. Some of concepts are better explained here than anywhere else, and make it straightforward to make sense of Mamba, which is increasingly popular.
Re: The Annotated S4
#7Hi! Blog author. This was an attempt a couple years ago to understand and write about this paper in a detailed way. Here is a video going through this topic as well: https://youtu.be/dKJEpOtVgXc?si=PDNO0B0qi6ARHaeb Section 2 of the blog post is no longer very relevant. A lot of advances (DSS, S4D) simplified that part of the process. Arguably also this all should be updated for Mamba (same authors).
I still find it really confusing how a linear model can perform so well.
Re: The Annotated S4
#8Re: The Annotated S4
#9Hi! Blog author. This was an attempt a couple years ago to understand and write about this paper in a detailed way. Here is a video going through this topic as well: https://youtu.be/dKJEpOtVgXc?si=PDNO0B0qi6ARHaeb Section 2 of the blog post is no longer very relevant. A lot of advances (DSS, S4D) simplified that part of the process. Arguably also this all should be updated for Mamba (same authors).
Re: The Annotated S4
#10A lot of intimidating math that will make all self-attention tutorials seem like a walk in the park in comparison. Luckily subsequent state space models building on S4 (DSS, S4D and newer ones like Mamba) simplified the primitives and the math used.