Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Conferences, Workshops, Symposiums, and Seminars
  4. Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics
 
conference paper

Augmented-SVM: Automatic space partitioning for combining multiple non-linear dynamics

Shukla, Ashwini  
2012
Advances in Neural Information Processing Systems
Neural Information Processing Systems (NIPS)

Non-linear dynamical systems (DS) have been used extensively for building generative models of human behavior. Their applications range from modeling brain dynamics to encoding motor commands. Many schemes have been proposed for encoding robot motions using dynamical systems with a single attractor placed at a predefined target in state space. Although these enable the robots to react against sudden perturbations without any re-planning, the motions are always directed towards a single target. In this work, we focus on combining several such DS with distinct attractors, resulting in a multi-stable DS. We show its applicability in reach-to-grasp tasks where the attractors represent several grasping points on the target object. While exploiting multiple attractors provides more flexibility in recovering from unseen perturbations, it also increases the complexity of the underlying learning problem. Here we present the \emph{Augmented-SVM} (A-SVM) model which inherits region partitioning ability of the well known SVM classifier and is augmented with novel constraints derived from the individual DS. The new constraints modify the original SVM dual whose optimal solution then results in a new class of support vectors (SV). These new SV ensure that the resulting multi-stable DS incurs minimum deviation from the original dynamics and is stable at each of the attractors within a finite region of attraction. We show, via implementations on a simulated 10 degrees of freedom mobile robotic platform, that the model is capable of real-time motion generation and is able to adapt on-the-fly to perturbations.

  • Files
  • Details
  • Metrics
Type
conference paper
Author(s)
Shukla, Ashwini  
Date Issued

2012

Publisher

Curran Associates, Inc.

Published in
Advances in Neural Information Processing Systems
Volume

24

Start page

1016

End page

1024

Subjects

Robotics

•

Multiple attractors

•

dynamical system

•

reaching motion

•

imitation learning

•

space partition

•

SVM

URL

URL

http://www.first-mm.eu/
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LASA  
Event nameEvent placeEvent date
Neural Information Processing Systems (NIPS)

Tahoe, Nevada, USA

December 3-8, 2012

Available on Infoscience
September 9, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/85305
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés