event thumbnail image
Subspace, Latent Structure and Feature Selection techniques: Statistical and Optimisation perspectives Workshop
Pascal

A statistical learning approach to subspace identification of dynamical systems

author: Tijl De Bie, KU Leuven

Description

Among the different approaches to identification of linear dynamical systems, subspace identification has become increasingly popular in the last decade. The reasons are the algorithmic simplicity thanks to the absence of non-convex optimization problems, the numerical stabil- ity and the statistical properties. Interestingly, concerning the statistical side, research in subspace identification has been concentrated on proving properties related to asymptotic unbiasedness. In this extended abstract we motivate how the use of an appropriate regularization can be helpful in the small sample case. Furthermore, this regularization allows one to use the kernel trick to identify systems where the input term in the state and output equations is a nonlinear function of the input variables.

You might be experiencing some problems with Your Video player.
Slides
0:00 A statistical learning approach to subspace identification of dynamical systems
0:07 Warning! work in progress…
0:16 Overview
0:57 Dynamical systems
1:40 Dynamical systems
2:28 State space representation
3:22 State space representation
3:56 State space representation
4:34 State space representation
5:37 Overview
6:01 Subspace identification for linear systems
7:23 Subspace identification for linear systems
8:06 Subspace identification for linear systems
9:03 Subspace identification for linear systems
10:21 Subspace identification for linear systems
11:04 Subspace identification for linear systems
11:08 Subspace identification for linear systems
11:10 Subspace identification for linear systems
12:15 Subspace identification for linear systems
12:18 Subspace identification for linear systems
12:57 Overview
13:00 Regularized subspace identification
13:28 Regularized subspace identification
14:01 Overview
14:05 Kernel version for nonlinear systems
15:24 Kernel version for nonlinear systems
15:54 Kernel version for nonlinear systems
16:35 Overview
16:38 Preliminary experiments
17:07 Further work
18:06 Thanks!

Lecture rating

People found this lecture:
Worth seeing
because it is:
 Valuable and informative
Well presented
Easily understandable
Acceptably recorded
You need to login to cast your vote.

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment: