State Space Model 首先,state space model可以定义成下式 x′(t)=Ax(t)+Bu(t)y(t)=Cx(t)+Du(t) 其中x是state vector, u为input,y为output,D视为0矩阵。 在文章中,作者利用bilinear method做discretization(涉及到解微分方程和一些信号处理知识,这里不做介绍),得到下列的表示,而下列左侧的表示就是一种...
这篇文章[1]采用了 conditional diffusion model 来做时间序列的 imputation 以及 forecasting 任务。本文的亮点在于,diffusion model 的网络结构不再是 CSDI[2] 中的transformer 结构,而是 structured state-space model(SSM)。我们可以把这种结构理解为 RNN、一维 CNN 以及 transformer 的平替结构,都是 seq-to-seq ...
Python code of the paper Model order reduction of deep structured state-space models: A system-theoretic approach machine-learning system-identification model-order-reduction linear-recurrent-units structured-state-space-models Updated Jul 25, 2024 Python ...
1. Is model parameter initialization incrorrect? 2. do I need to specify advanced settings using ssestoptions? 3. Is any fundamental knowledge lacking before trying this approach for obtaiing state space model of a MIMO system? 답변 (0개) ...
Structured state-space modelDifference-of-convex problemPrediction-error methodIdentification of structured state-space (gray-box) model is popular for modeling physical and network systems. Due to the non-convex nature of the gray-box identification problem, good initial parameter estimates are crucial...
We propose the Structured State Space sequence model (S4) based on a new parameterization for the SSM, and show that it can be computed much more efficiently than prior approaches while preserving their theoretical strengths. Our technique involves conditioning \( A \) with a low-rank ...
Our approach uses stage-structured population models fit within a Bayesian state-space model. This approach simultaneously allows for both process and observation uncertainty, and it facilitates incorporating prior information on population dynamics and on the monitoring process. We apply these models to ...
configs/model/README.md configs/experiment/README.md sashimi/README.md Citation If you use this codebase, or otherwise found our work valuable, please cite: @article{gu2022s4d, title={On the Parameterization and Initialization of Diagonal State Space Models}, author={Gu, Albert and Gupta, ...
Diagonal State Spaces are as Effective as Structured State Spaces for NeurIPS 2022 by Ankit Gupta et al.
Stability robustness bounds for linear state-space models with structured uncertainty based on ellipsoidal set-theoretic approach [ J ]. Mathematics and Computers in Simulation ,2001,56( 1 ) :35-53... Z Qiu,PC Muller,A Frommer - 《Mathematics & Computers in Simulation》 被引量: 0发表: 2001...