structured state-space sequence models(结构状态空间序列模型)主要是受到了连续linear time-invariant(线性时不变系统)的启发。这个系统可以被表示为一个线性常微分方程表示: \begin{equation} \begin{aligned} h'(t)&=\mathbf{A}h(t)+\mathbf{B}x(t),\\ y(t)&=\mathbf{C}h(t)+\mathbf{D}x(t), ...
S4的话没那么容易做。最近ICLR‘23另一篇为了让S4的转移矩阵能够input data dependent的工作Liquid Structural State-Space Models需要额外进行一些设计才能在频域上做,并且限制有点多。S5直接在时域上parallel scan算Prefix sum,可以很轻松的在每个位置上用不同的A,A可以由不同位置的input算出来,所以叫input data depe...
Section 2 State Space Models 状态空间模型 结构化状态空间序列模型(Structured state space sequence models,S4)是最近一类用于深度学习的序列模型,与 RNN、CNN 和经典状态空间模型广泛相关。它们受到一个特定连续系统 (1) 的启发,该系统通过一个隐含的潜在状态 h(t)∈RNh(t)∈RN 映射一个一维函数或序列 x(t...
Structured State Spaces for Sequence Modeling This repository provides implementations and experiments for the following papers. S4D On the Parameterization and Initialization of Diagonal State Space Models Albert Gu, Ankit Gupta, Karan Goel, Christopher Ré Paper: https://arxiv.org/abs/2206.11893 Other...
Mamba模型中，"A"、"B"、"C"和"D"分别代表状态空间模型（State Space Models，简称SSMs）的参数。
架构，如线性注意力、门控卷积和循环模型，以及结构化状态空间模型（structured state space models，SSM...
Structured State Spaces for Sequence Modeling This repository provides the official implementations and experiments for models related to S4, including HiPPO, LSSL, SaShiMi, DSS, HTTYH, S4D, and S4ND. Project-specific information for each of these models, including overview of the source code and...
State–Space Models The study of state–space models has had a profound impact ontime seriesanalysis. A linear state–space model for a (possibly multivariate) time series {Yt,t= 1, 2, …} consists of two equations. The first, known as the observation equation, expresses thew-dimensionalob...
Yes! This is what Mamba offers but before diving into its architecture, let’s explore the world of State Space Models first. Part 2: The State Space Model (SSM) A State Space Model (SSM), like the Transformer and RNN, processes sequences of information, like text but also signals. In...
models via least mean square (LMS) recursiveleast squares (RLS) algorithms. recentpaper [15] ad- dresses more general Box–Jenkins type LPV models via instrumentalvariable method. finalkey strand researchhas been subspace-based methods, again MIMOstate-space LPV mod- els 21,22, 25]. main...